36.389 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.135 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.138 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.140 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.141 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.143 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.145 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.151 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.173 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.174 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.174 * * [progress]: iteration 1 / 4 0.174 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.199 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.209 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.231 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.232 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.232 * [taylor]: Taking taylor expansion of 2.0 in n 0.232 * [taylor]: Taking taylor expansion of (* n PI) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [taylor]: Taking taylor expansion of PI in n 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.232 * [taylor]: Taking taylor expansion of 2.0 in n 0.232 * [taylor]: Taking taylor expansion of (* n PI) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [taylor]: Taking taylor expansion of PI in n 0.245 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.245 * [taylor]: Taking taylor expansion of 2.0 in n 0.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.245 * [taylor]: Taking taylor expansion of PI in n 0.245 * [taylor]: Taking taylor expansion of n in n 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.246 * [taylor]: Taking taylor expansion of PI in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.254 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.254 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.254 * [taylor]: Taking taylor expansion of -2.0 in n 0.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.254 * [taylor]: Taking taylor expansion of PI in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.255 * [taylor]: Taking taylor expansion of -2.0 in n 0.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.255 * [taylor]: Taking taylor expansion of PI in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.263 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.264 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.264 * [taylor]: Taking taylor expansion of 1.0 in k 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.264 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.264 * [taylor]: Taking taylor expansion of k in k 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.265 * [taylor]: Taking taylor expansion of 1.0 in k 0.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.265 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.265 * [taylor]: Taking taylor expansion of k in k 0.276 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.277 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.277 * [taylor]: Taking taylor expansion of 1.0 in k 0.277 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.277 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.288 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.288 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.288 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.288 * [taylor]: Taking taylor expansion of -1 in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.290 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.290 * [taylor]: Taking taylor expansion of -1 in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.306 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.307 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.307 * [taylor]: Taking taylor expansion of 0.5 in k 0.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.307 * [taylor]: Taking taylor expansion of 1.0 in k 0.307 * [taylor]: Taking taylor expansion of k in k 0.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.307 * [taylor]: Taking taylor expansion of 2.0 in k 0.307 * [taylor]: Taking taylor expansion of (* n PI) in k 0.307 * [taylor]: Taking taylor expansion of n in k 0.307 * [taylor]: Taking taylor expansion of PI in k 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [taylor]: Taking taylor expansion of (* n PI) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.314 * [taylor]: Taking taylor expansion of 0.5 in n 0.314 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.314 * [taylor]: Taking taylor expansion of 1.0 in n 0.314 * [taylor]: Taking taylor expansion of k in n 0.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.314 * [taylor]: Taking taylor expansion of 2.0 in n 0.314 * [taylor]: Taking taylor expansion of (* n PI) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.319 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.319 * [taylor]: Taking taylor expansion of 2.0 in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of (log n) in k 0.320 * [taylor]: Taking taylor expansion of n in k 0.330 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.365 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.365 * [taylor]: Taking taylor expansion of 0.5 in k 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.366 * [taylor]: Taking taylor expansion of 2.0 in k 0.366 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.366 * [taylor]: Taking taylor expansion of PI in k 0.366 * [taylor]: Taking taylor expansion of n in k 0.367 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.367 * [taylor]: Taking taylor expansion of 0.5 in n 0.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.367 * [taylor]: Taking taylor expansion of 1.0 in n 0.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.367 * [taylor]: Taking taylor expansion of k in n 0.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.367 * [taylor]: Taking taylor expansion of 2.0 in n 0.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.367 * [taylor]: Taking taylor expansion of PI in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.371 * [taylor]: Taking taylor expansion of 0.5 in n 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.371 * [taylor]: Taking taylor expansion of 1.0 in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.371 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.371 * [taylor]: Taking taylor expansion of PI in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.375 * [taylor]: Taking taylor expansion of 0.5 in k 0.375 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.375 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.375 * [taylor]: Taking taylor expansion of 2.0 in k 0.375 * [taylor]: Taking taylor expansion of PI in k 0.376 * [taylor]: Taking taylor expansion of (log n) in k 0.376 * [taylor]: Taking taylor expansion of n in k 0.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.386 * [taylor]: Taking taylor expansion of 0 in k 0.396 * [taylor]: Taking taylor expansion of 0 in k 0.405 * [taylor]: Taking taylor expansion of 0 in k 0.407 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.407 * [taylor]: Taking taylor expansion of 0.5 in k 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.407 * [taylor]: Taking taylor expansion of -2.0 in k 0.407 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of n in k 0.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.408 * [taylor]: Taking taylor expansion of -2.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.412 * [taylor]: Taking taylor expansion of 0.5 in n 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.412 * [taylor]: Taking taylor expansion of k in n 0.412 * [taylor]: Taking taylor expansion of 1.0 in n 0.412 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.412 * [taylor]: Taking taylor expansion of -2.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.416 * [taylor]: Taking taylor expansion of 0.5 in k 0.416 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.416 * [taylor]: Taking taylor expansion of k in k 0.416 * [taylor]: Taking taylor expansion of 1.0 in k 0.416 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.416 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.416 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.416 * [taylor]: Taking taylor expansion of -2.0 in k 0.416 * [taylor]: Taking taylor expansion of PI in k 0.417 * [taylor]: Taking taylor expansion of (log n) in k 0.417 * [taylor]: Taking taylor expansion of n in k 0.426 * [taylor]: Taking taylor expansion of 0 in k 0.433 * [taylor]: Taking taylor expansion of 0 in k 0.443 * [taylor]: Taking taylor expansion of 0 in k 0.443 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.444 * [taylor]: Taking taylor expansion of k in n 0.444 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of k in n 0.445 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.445 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.445 * [taylor]: Taking taylor expansion of 2.0 in n 0.445 * [taylor]: Taking taylor expansion of (* n PI) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.445 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.452 * [taylor]: Taking taylor expansion of 0.5 in k 0.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.452 * [taylor]: Taking taylor expansion of 2.0 in k 0.452 * [taylor]: Taking taylor expansion of (* n PI) in k 0.452 * [taylor]: Taking taylor expansion of n in k 0.452 * [taylor]: Taking taylor expansion of PI in k 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.453 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.454 * [taylor]: Taking taylor expansion of 0.5 in k 0.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.454 * [taylor]: Taking taylor expansion of 1.0 in k 0.454 * [taylor]: Taking taylor expansion of k in k 0.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.454 * [taylor]: Taking taylor expansion of 2.0 in k 0.454 * [taylor]: Taking taylor expansion of (* n PI) in k 0.454 * [taylor]: Taking taylor expansion of n in k 0.454 * [taylor]: Taking taylor expansion of PI in k 0.456 * [taylor]: Taking taylor expansion of 0 in n 0.461 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.461 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.461 * [taylor]: Taking taylor expansion of +nan.0 in n 0.461 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.461 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.461 * [taylor]: Taking taylor expansion of 0.5 in n 0.461 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.461 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.461 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.461 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.461 * [taylor]: Taking taylor expansion of 1.0 in n 0.461 * [taylor]: Taking taylor expansion of (log PI) in n 0.461 * [taylor]: Taking taylor expansion of PI in n 0.463 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.463 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.463 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.463 * [taylor]: Taking taylor expansion of 1.0 in n 0.463 * [taylor]: Taking taylor expansion of (log n) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.464 * [taylor]: Taking taylor expansion of 1.0 in n 0.464 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.464 * [taylor]: Taking taylor expansion of 2.0 in n 0.487 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.487 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.487 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.487 * [taylor]: Taking taylor expansion of +nan.0 in n 0.487 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.487 * [taylor]: Taking taylor expansion of 0.5 in n 0.487 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.487 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.487 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.487 * [taylor]: Taking taylor expansion of 1.0 in n 0.487 * [taylor]: Taking taylor expansion of (log PI) in n 0.487 * [taylor]: Taking taylor expansion of PI in n 0.489 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.489 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.489 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of (log n) in n 0.489 * [taylor]: Taking taylor expansion of n in n 0.490 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.490 * [taylor]: Taking taylor expansion of 1.0 in n 0.490 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.490 * [taylor]: Taking taylor expansion of 2.0 in n 0.495 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.495 * [taylor]: Taking taylor expansion of +nan.0 in n 0.495 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.495 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.495 * [taylor]: Taking taylor expansion of 0.5 in n 0.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.496 * [taylor]: Taking taylor expansion of 2.0 in n 0.497 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.497 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.497 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.497 * [taylor]: Taking taylor expansion of 1.0 in n 0.497 * [taylor]: Taking taylor expansion of (log PI) in n 0.497 * [taylor]: Taking taylor expansion of PI in n 0.499 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [taylor]: Taking taylor expansion of (log n) in n 0.499 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.504 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.504 * [taylor]: Taking taylor expansion of 2.0 in n 0.504 * [taylor]: Taking taylor expansion of (* n PI) in n 0.504 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.554 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.554 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.555 * [taylor]: Taking taylor expansion of 0.5 in n 0.555 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.555 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log n) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log PI) in n 0.557 * [taylor]: Taking taylor expansion of PI in n 0.563 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.563 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.563 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.563 * [taylor]: Taking taylor expansion of +nan.0 in n 0.563 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.571 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log n) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.575 * [taylor]: Taking taylor expansion of (* n PI) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.579 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.579 * [taylor]: Taking taylor expansion of +nan.0 in n 0.579 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.579 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.579 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.579 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.581 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.581 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (log PI) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.583 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of (log n) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.587 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.587 * [taylor]: Taking taylor expansion of 2.0 in n 0.587 * [taylor]: Taking taylor expansion of (* n PI) in n 0.587 * [taylor]: Taking taylor expansion of n in n 0.587 * [taylor]: Taking taylor expansion of PI in n 0.666 * [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 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.666 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.666 * [taylor]: Taking taylor expansion of k in n 0.666 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.666 * [taylor]: Taking taylor expansion of 0.5 in n 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.666 * [taylor]: Taking taylor expansion of k in n 0.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.666 * [taylor]: Taking taylor expansion of 2.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.666 * [taylor]: Taking taylor expansion of PI in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.670 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.670 * [taylor]: Taking taylor expansion of 1.0 in k 0.670 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.670 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.671 * [taylor]: Taking taylor expansion of 0.5 in k 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.671 * [taylor]: Taking taylor expansion of 1.0 in k 0.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.671 * [taylor]: Taking taylor expansion of k in k 0.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.671 * [taylor]: Taking taylor expansion of 2.0 in k 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.672 * [taylor]: Taking taylor expansion of PI in k 0.672 * [taylor]: Taking taylor expansion of n in k 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.673 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.674 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.674 * [taylor]: Taking taylor expansion of 0.5 in k 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.674 * [taylor]: Taking taylor expansion of 1.0 in k 0.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.674 * [taylor]: Taking taylor expansion of 2.0 in k 0.674 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.674 * [taylor]: Taking taylor expansion of PI in k 0.674 * [taylor]: Taking taylor expansion of n in k 0.676 * [taylor]: Taking taylor expansion of 0 in n 0.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.676 * [taylor]: Taking taylor expansion of +nan.0 in n 0.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.677 * [taylor]: Taking taylor expansion of 0.5 in n 0.677 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.677 * [taylor]: Taking taylor expansion of 2.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.678 * [taylor]: Taking taylor expansion of 1.0 in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.678 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.687 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.687 * [taylor]: Taking taylor expansion of +nan.0 in n 0.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.687 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.687 * [taylor]: Taking taylor expansion of 0.5 in n 0.687 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.687 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.687 * [taylor]: Taking taylor expansion of 2.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.705 * [taylor]: Taking taylor expansion of +nan.0 in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.705 * [taylor]: Taking taylor expansion of 0.5 in n 0.705 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.705 * [taylor]: Taking taylor expansion of 2.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.705 * [taylor]: Taking taylor expansion of PI in n 0.705 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.715 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.715 * [taylor]: Taking taylor expansion of 0.5 in n 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.715 * [taylor]: Taking taylor expansion of k in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of -2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.719 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.719 * [taylor]: Taking taylor expansion of -1 in n 0.719 * [taylor]: Taking taylor expansion of k in n 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.720 * [taylor]: Taking taylor expansion of 1.0 in k 0.720 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.720 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.720 * [taylor]: Taking taylor expansion of 0.5 in k 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.720 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.720 * [taylor]: Taking taylor expansion of k in k 0.720 * [taylor]: Taking taylor expansion of 1.0 in k 0.720 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.720 * [taylor]: Taking taylor expansion of -2.0 in k 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.720 * [taylor]: Taking taylor expansion of PI in k 0.720 * [taylor]: Taking taylor expansion of n in k 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.721 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.721 * [taylor]: Taking taylor expansion of -1 in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.722 * [taylor]: Taking taylor expansion of 1.0 in k 0.722 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.722 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.723 * [taylor]: Taking taylor expansion of 0.5 in k 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.723 * [taylor]: Taking taylor expansion of 1.0 in k 0.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.723 * [taylor]: Taking taylor expansion of -2.0 in k 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.723 * [taylor]: Taking taylor expansion of PI in k 0.723 * [taylor]: Taking taylor expansion of n in k 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.724 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.724 * [taylor]: Taking taylor expansion of -1 in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.725 * [taylor]: Taking taylor expansion of +nan.0 in n 0.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.725 * [taylor]: Taking taylor expansion of 0.5 in n 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of -2.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.734 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.734 * [taylor]: Taking taylor expansion of +nan.0 in n 0.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.734 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.734 * [taylor]: Taking taylor expansion of 0.5 in n 0.735 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.735 * [taylor]: Taking taylor expansion of k in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.735 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.735 * [taylor]: Taking taylor expansion of -2.0 in n 0.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.735 * [taylor]: Taking taylor expansion of PI in n 0.735 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.756 * [taylor]: Taking taylor expansion of +nan.0 in n 0.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.756 * [taylor]: Taking taylor expansion of 0.5 in n 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.756 * [taylor]: Taking taylor expansion of 1.0 in n 0.756 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.756 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.756 * [taylor]: Taking taylor expansion of -2.0 in n 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.756 * [taylor]: Taking taylor expansion of PI in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.765 * * * [progress]: simplifying candidates 0.768 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (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 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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)) (* (/ 1.0 (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))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.865 * * * [progress]: adding candidates to table 1.267 * * [progress]: iteration 2 / 4 1.267 * * * [progress]: picking best candidate 1.292 * * * * [pick]: Picked # 1.292 * * * [progress]: localizing error 1.311 * * * [progress]: generating rewritten candidates 1.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.321 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.327 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.350 * * * [progress]: generating series expansions 1.350 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.351 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.351 * [taylor]: Taking taylor expansion of 2.0 in n 1.351 * [taylor]: Taking taylor expansion of (* n PI) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of PI in n 1.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.351 * [taylor]: Taking taylor expansion of 2.0 in n 1.351 * [taylor]: Taking taylor expansion of (* n PI) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of PI in n 1.363 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.363 * [taylor]: Taking taylor expansion of 2.0 in n 1.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.363 * [taylor]: Taking taylor expansion of PI in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.364 * [taylor]: Taking taylor expansion of 2.0 in n 1.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.364 * [taylor]: Taking taylor expansion of PI in n 1.364 * [taylor]: Taking taylor expansion of n in n 1.373 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 1.373 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.373 * [taylor]: Taking taylor expansion of 2.0 in n 1.373 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.373 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.373 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.373 * [taylor]: Taking taylor expansion of -1 in n 1.373 * [taylor]: Taking taylor expansion of n in n 1.375 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.375 * [taylor]: Taking taylor expansion of 2.0 in n 1.375 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.375 * [taylor]: Taking taylor expansion of PI in n 1.375 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.375 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.375 * [taylor]: Taking taylor expansion of -1 in n 1.375 * [taylor]: Taking taylor expansion of n in n 1.394 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.395 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 1.395 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.395 * [taylor]: Taking taylor expansion of 2.0 in n 1.395 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.395 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.395 * [taylor]: Taking taylor expansion of n in n 1.396 * [taylor]: Taking taylor expansion of PI in n 1.396 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.396 * [taylor]: Taking taylor expansion of 2.0 in n 1.396 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.396 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.396 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.421 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 1.421 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.421 * [taylor]: Taking taylor expansion of 2.0 in n 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.421 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of PI in n 1.423 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.423 * [taylor]: Taking taylor expansion of 2.0 in n 1.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.423 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.423 * [taylor]: Taking taylor expansion of n in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.445 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 1.445 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.445 * [taylor]: Taking taylor expansion of 2.0 in n 1.445 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.445 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.445 * [taylor]: Taking taylor expansion of -1 in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.446 * [taylor]: Taking taylor expansion of 2.0 in n 1.446 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.446 * [taylor]: Taking taylor expansion of PI in n 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.446 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.446 * [taylor]: Taking taylor expansion of -1 in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.467 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.467 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.467 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.467 * [taylor]: Taking taylor expansion of 1.0 in k 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.467 * [taylor]: Taking taylor expansion of k in k 1.468 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.468 * [taylor]: Taking taylor expansion of 1.0 in k 1.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.468 * [taylor]: Taking taylor expansion of k in k 1.483 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.483 * [taylor]: Taking taylor expansion of 1.0 in k 1.483 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.483 * [taylor]: Taking taylor expansion of k in k 1.484 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.484 * [taylor]: Taking taylor expansion of 1.0 in k 1.484 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.484 * [taylor]: Taking taylor expansion of k in k 1.494 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.494 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.494 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.494 * [taylor]: Taking taylor expansion of -1 in k 1.494 * [taylor]: Taking taylor expansion of k in k 1.495 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.495 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.495 * [taylor]: Taking taylor expansion of -1 in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.507 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.507 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.507 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.507 * [taylor]: Taking taylor expansion of 0.5 in k 1.507 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.507 * [taylor]: Taking taylor expansion of 1.0 in k 1.507 * [taylor]: Taking taylor expansion of k in k 1.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.507 * [taylor]: Taking taylor expansion of 2.0 in k 1.507 * [taylor]: Taking taylor expansion of (* n PI) in k 1.507 * [taylor]: Taking taylor expansion of n in k 1.508 * [taylor]: Taking taylor expansion of PI in k 1.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.509 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.509 * [taylor]: Taking taylor expansion of 0.5 in n 1.509 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.509 * [taylor]: Taking taylor expansion of 1.0 in n 1.509 * [taylor]: Taking taylor expansion of k 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 1.509 * [taylor]: Taking taylor expansion of (* n PI) in n 1.509 * [taylor]: Taking taylor expansion of n in n 1.509 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.514 * [taylor]: Taking taylor expansion of 0.5 in n 1.514 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [taylor]: Taking taylor expansion of k in n 1.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.514 * [taylor]: Taking taylor expansion of 2.0 in n 1.514 * [taylor]: Taking taylor expansion of (* n PI) in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.519 * [taylor]: Taking taylor expansion of 0.5 in k 1.519 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.519 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.519 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.519 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.520 * [taylor]: Taking taylor expansion of 2.0 in k 1.520 * [taylor]: Taking taylor expansion of PI in k 1.520 * [taylor]: Taking taylor expansion of (log n) in k 1.520 * [taylor]: Taking taylor expansion of n in k 1.530 * [taylor]: Taking taylor expansion of 0 in k 1.545 * [taylor]: Taking taylor expansion of 0 in k 1.567 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.568 * [taylor]: Taking taylor expansion of 0.5 in k 1.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.568 * [taylor]: Taking taylor expansion of 1.0 in k 1.568 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.568 * [taylor]: Taking taylor expansion of k in k 1.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.568 * [taylor]: Taking taylor expansion of 2.0 in k 1.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.568 * [taylor]: Taking taylor expansion of PI in k 1.568 * [taylor]: Taking taylor expansion of n in k 1.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.569 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.569 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.569 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.569 * [taylor]: Taking taylor expansion of 0.5 in n 1.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.569 * [taylor]: Taking taylor expansion of 1.0 in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.569 * [taylor]: Taking taylor expansion of k in n 1.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.569 * [taylor]: Taking taylor expansion of 2.0 in n 1.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.569 * [taylor]: Taking taylor expansion of PI in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.573 * [taylor]: Taking taylor expansion of 0.5 in n 1.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.573 * [taylor]: Taking taylor expansion of 1.0 in n 1.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.573 * [taylor]: Taking taylor expansion of k in n 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.573 * [taylor]: Taking taylor expansion of 2.0 in n 1.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.573 * [taylor]: Taking taylor expansion of PI in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.577 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.577 * [taylor]: Taking taylor expansion of 0.5 in k 1.577 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.577 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.577 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.577 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.577 * [taylor]: Taking taylor expansion of 2.0 in k 1.577 * [taylor]: Taking taylor expansion of PI in k 1.578 * [taylor]: Taking taylor expansion of (log n) in k 1.578 * [taylor]: Taking taylor expansion of n in k 1.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.578 * [taylor]: Taking taylor expansion of 1.0 in k 1.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.578 * [taylor]: Taking taylor expansion of k in k 1.588 * [taylor]: Taking taylor expansion of 0 in k 1.595 * [taylor]: Taking taylor expansion of 0 in k 1.604 * [taylor]: Taking taylor expansion of 0 in k 1.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.605 * [taylor]: Taking taylor expansion of 0.5 in k 1.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.605 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.605 * [taylor]: Taking taylor expansion of 2.0 in k 1.606 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.606 * [taylor]: Taking taylor expansion of PI in k 1.606 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.606 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.606 * [taylor]: Taking taylor expansion of -1 in k 1.606 * [taylor]: Taking taylor expansion of n in k 1.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.607 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.607 * [taylor]: Taking taylor expansion of 0.5 in n 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.607 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.607 * [taylor]: Taking taylor expansion of -1 in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.612 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.612 * [taylor]: Taking taylor expansion of 0.5 in n 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.612 * [taylor]: Taking taylor expansion of k in n 1.612 * [taylor]: Taking taylor expansion of 1.0 in n 1.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.612 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.612 * [taylor]: Taking taylor expansion of -1 in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.617 * [taylor]: Taking taylor expansion of 0.5 in k 1.617 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.617 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.617 * [taylor]: Taking taylor expansion of +nan.0 in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.637 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 1.637 * [taylor]: Taking taylor expansion of -1 in k 1.637 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 1.637 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 1.637 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 1.637 * [taylor]: Taking taylor expansion of +nan.0 in k 1.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.637 * [taylor]: Taking taylor expansion of k in k 1.637 * [taylor]: Taking taylor expansion of (- +nan.0) in k 1.637 * [taylor]: Taking taylor expansion of +nan.0 in k 1.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.637 * [taylor]: Taking taylor expansion of 0.5 in k 1.637 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.637 * [taylor]: Taking taylor expansion of k in k 1.638 * [taylor]: Taking taylor expansion of 1.0 in k 1.638 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.638 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.638 * [taylor]: Taking taylor expansion of +nan.0 in k 1.638 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 1.676 * [taylor]: Taking taylor expansion of -1 in k 1.676 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.676 * [taylor]: Taking taylor expansion of 0.5 in k 1.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.676 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.676 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.676 * [taylor]: Taking taylor expansion of +nan.0 in k 1.676 * [taylor]: Taking taylor expansion of PI in k 1.680 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 1.680 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 1.680 * [taylor]: Taking taylor expansion of +nan.0 in k 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 1.680 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.680 * [taylor]: Taking taylor expansion of k in k 1.681 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 1.681 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 1.681 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 1.681 * [taylor]: Taking taylor expansion of +nan.0 in k 1.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.681 * [taylor]: Taking taylor expansion of k in k 1.681 * [taylor]: Taking taylor expansion of (- +nan.0) in k 1.681 * [taylor]: Taking taylor expansion of +nan.0 in k 1.697 * * * [progress]: simplifying candidates 1.699 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 1.707 * * [simplify]: iteration 0 : 732 enodes (cost 985 ) 1.720 * * [simplify]: iteration 1 : 3017 enodes (cost 833 ) 1.772 * * [simplify]: iteration 2 : 5002 enodes (cost 812 ) 1.777 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt 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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* n PI) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 1.778 * * * [progress]: adding candidates to table 2.113 * * [progress]: iteration 3 / 4 2.113 * * * [progress]: picking best candidate 2.134 * * * * [pick]: Picked # 2.134 * * * [progress]: localizing error 2.153 * * * [progress]: generating rewritten candidates 2.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.160 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.164 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.203 * * * [progress]: generating series expansions 2.203 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.204 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.204 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.204 * [taylor]: Taking taylor expansion of 2.0 in n 2.204 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.204 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.204 * [taylor]: Taking taylor expansion of n in n 2.205 * [taylor]: Taking taylor expansion of PI in n 2.205 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.205 * [taylor]: Taking taylor expansion of 2.0 in n 2.205 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.205 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of PI in n 2.228 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.228 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.228 * [taylor]: Taking taylor expansion of 2.0 in n 2.228 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.228 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.228 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.228 * [taylor]: Taking taylor expansion of n in n 2.230 * [taylor]: Taking taylor expansion of PI in n 2.230 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.230 * [taylor]: Taking taylor expansion of 2.0 in n 2.230 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.230 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.230 * [taylor]: Taking taylor expansion of n in n 2.231 * [taylor]: Taking taylor expansion of PI in n 2.259 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.259 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.259 * [taylor]: Taking taylor expansion of 2.0 in n 2.259 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.259 * [taylor]: Taking taylor expansion of PI in n 2.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.259 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.259 * [taylor]: Taking taylor expansion of -1 in n 2.259 * [taylor]: Taking taylor expansion of n in n 2.261 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.261 * [taylor]: Taking taylor expansion of 2.0 in n 2.261 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.261 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.261 * [taylor]: Taking taylor expansion of -1 in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.281 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.281 * [taylor]: Taking taylor expansion of 1.0 in k 2.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.281 * [taylor]: Taking taylor expansion of k in k 2.283 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.283 * [taylor]: Taking taylor expansion of 1.0 in k 2.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.283 * [taylor]: Taking taylor expansion of k in k 2.294 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.294 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.294 * [taylor]: Taking taylor expansion of 1.0 in k 2.294 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.294 * [taylor]: Taking taylor expansion of k in k 2.295 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.295 * [taylor]: Taking taylor expansion of 1.0 in k 2.295 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.295 * [taylor]: Taking taylor expansion of k in k 2.305 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.305 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.305 * [taylor]: Taking taylor expansion of 1.0 in k 2.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.305 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.305 * [taylor]: Taking taylor expansion of -1 in k 2.305 * [taylor]: Taking taylor expansion of k in k 2.307 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.307 * [taylor]: Taking taylor expansion of 1.0 in k 2.307 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.307 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.307 * [taylor]: Taking taylor expansion of -1 in k 2.307 * [taylor]: Taking taylor expansion of k in k 2.319 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.319 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in (n k) around 0 2.319 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.319 * [taylor]: Taking taylor expansion of 0.5 in k 2.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.319 * [taylor]: Taking taylor expansion of 1.0 in k 2.319 * [taylor]: Taking taylor expansion of k in k 2.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.319 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.319 * [taylor]: Taking taylor expansion of 2.0 in k 2.319 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.319 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.319 * [taylor]: Taking taylor expansion of n in k 2.319 * [taylor]: Taking taylor expansion of PI in k 2.320 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.321 * [taylor]: Taking taylor expansion of 0.5 in k 2.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.321 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.321 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.322 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.322 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.322 * [taylor]: Taking taylor expansion of 0.5 in n 2.322 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.322 * [taylor]: Taking taylor expansion of 1.0 in n 2.322 * [taylor]: Taking taylor expansion of k in n 2.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.322 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.322 * [taylor]: Taking taylor expansion of 2.0 in n 2.322 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.322 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.322 * [taylor]: Taking taylor expansion of n in n 2.323 * [taylor]: Taking taylor expansion of PI in n 2.331 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.331 * [taylor]: Taking taylor expansion of 0.5 in n 2.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.331 * [taylor]: Taking taylor expansion of 1.0 in n 2.331 * [taylor]: Taking taylor expansion of k in n 2.331 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.331 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.331 * [taylor]: Taking taylor expansion of n in n 2.333 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.334 * [taylor]: Taking taylor expansion of 0.5 in n 2.334 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.334 * [taylor]: Taking taylor expansion of 1.0 in n 2.334 * [taylor]: Taking taylor expansion of k in n 2.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.334 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.334 * [taylor]: Taking taylor expansion of 2.0 in n 2.334 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.334 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.335 * [taylor]: Taking taylor expansion of PI in n 2.347 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.348 * [taylor]: Taking taylor expansion of 0.5 in n 2.348 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.348 * [taylor]: Taking taylor expansion of 1.0 in n 2.348 * [taylor]: Taking taylor expansion of k in n 2.348 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.348 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.348 * [taylor]: Taking taylor expansion of n in n 2.352 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.352 * [taylor]: Taking taylor expansion of 0.5 in k 2.352 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.352 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.352 * [taylor]: Taking taylor expansion of 1.0 in k 2.352 * [taylor]: Taking taylor expansion of k in k 2.352 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.352 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.352 * [taylor]: Taking taylor expansion of +nan.0 in k 2.352 * [taylor]: Taking taylor expansion of (log n) in k 2.352 * [taylor]: Taking taylor expansion of n in k 2.354 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.354 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.354 * [taylor]: Taking taylor expansion of 0.5 in k 2.354 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.354 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.354 * [taylor]: Taking taylor expansion of 1.0 in k 2.354 * [taylor]: Taking taylor expansion of k in k 2.354 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.354 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.354 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.354 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.354 * [taylor]: Taking taylor expansion of +nan.0 in k 2.354 * [taylor]: Taking taylor expansion of PI in k 2.357 * [taylor]: Taking taylor expansion of (log n) in k 2.357 * [taylor]: Taking taylor expansion of n in k 2.392 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))))))) in k 2.392 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))))))) in k 2.392 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) in k 2.392 * [taylor]: Taking taylor expansion of +nan.0 in k 2.392 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.392 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.392 * [taylor]: Taking taylor expansion of 0.5 in k 2.392 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.392 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of k in k 2.392 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.392 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.392 * [taylor]: Taking taylor expansion of +nan.0 in k 2.393 * [taylor]: Taking taylor expansion of (log n) in k 2.393 * [taylor]: Taking taylor expansion of n in k 2.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.394 * [taylor]: Taking taylor expansion of 0.5 in k 2.394 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.394 * [taylor]: Taking taylor expansion of 1.0 in k 2.394 * [taylor]: Taking taylor expansion of k in k 2.394 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.394 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.394 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.394 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.394 * [taylor]: Taking taylor expansion of +nan.0 in k 2.394 * [taylor]: Taking taylor expansion of PI in k 2.397 * [taylor]: Taking taylor expansion of (log n) in k 2.397 * [taylor]: Taking taylor expansion of n in k 2.402 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))))) in k 2.402 * [taylor]: Taking taylor expansion of (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))))) in k 2.402 * [taylor]: Taking taylor expansion of +nan.0 in k 2.402 * [taylor]: Taking taylor expansion of (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) in k 2.402 * [taylor]: Taking taylor expansion of k in k 2.402 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.402 * [taylor]: Taking taylor expansion of 0.5 in k 2.402 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.402 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of k in k 2.402 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.402 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.402 * [taylor]: Taking taylor expansion of +nan.0 in k 2.402 * [taylor]: Taking taylor expansion of (log n) in k 2.402 * [taylor]: Taking taylor expansion of n in k 2.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.404 * [taylor]: Taking taylor expansion of 0.5 in k 2.404 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.404 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.404 * [taylor]: Taking taylor expansion of 1.0 in k 2.404 * [taylor]: Taking taylor expansion of k in k 2.404 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.404 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.404 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.404 * [taylor]: Taking taylor expansion of +nan.0 in k 2.404 * [taylor]: Taking taylor expansion of PI in k 2.407 * [taylor]: Taking taylor expansion of (log n) in k 2.407 * [taylor]: Taking taylor expansion of n in k 2.463 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.463 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 2.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.463 * [taylor]: Taking taylor expansion of 0.5 in k 2.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 2.463 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 2.463 * [taylor]: Taking taylor expansion of 2.0 in k 2.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 2.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 2.463 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.463 * [taylor]: Taking taylor expansion of n in k 2.463 * [taylor]: Taking taylor expansion of PI in k 2.464 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 2.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 2.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.465 * [taylor]: Taking taylor expansion of 0.5 in k 2.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.465 * [taylor]: Taking taylor expansion of 1.0 in k 2.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.465 * [taylor]: Taking taylor expansion of k in k 2.465 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 2.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 2.465 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.465 * [taylor]: Taking taylor expansion of n in k 2.466 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 2.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 2.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.466 * [taylor]: Taking taylor expansion of 0.5 in n 2.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.466 * [taylor]: Taking taylor expansion of 1.0 in n 2.466 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.466 * [taylor]: Taking taylor expansion of k in n 2.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 2.466 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.466 * [taylor]: Taking taylor expansion of 2.0 in n 2.466 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.466 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.466 * [taylor]: Taking taylor expansion of n in n 2.468 * [taylor]: Taking taylor expansion of PI in n 2.474 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 2.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 2.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.474 * [taylor]: Taking taylor expansion of 0.5 in n 2.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.474 * [taylor]: Taking taylor expansion of 1.0 in n 2.474 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.474 * [taylor]: Taking taylor expansion of k in n 2.474 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 2.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.474 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.477 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 2.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.477 * [taylor]: Taking taylor expansion of 0.5 in n 2.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.477 * [taylor]: Taking taylor expansion of k in n 2.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 2.477 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.477 * [taylor]: Taking taylor expansion of 2.0 in n 2.477 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.477 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.477 * [taylor]: Taking taylor expansion of n in n 2.478 * [taylor]: Taking taylor expansion of PI in n 2.485 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 2.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 2.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.485 * [taylor]: Taking taylor expansion of 0.5 in n 2.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.485 * [taylor]: Taking taylor expansion of 1.0 in n 2.485 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.485 * [taylor]: Taking taylor expansion of k in n 2.485 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 2.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.485 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.489 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.489 * [taylor]: Taking taylor expansion of 0.5 in k 2.489 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.489 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.489 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.489 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.489 * [taylor]: Taking taylor expansion of +nan.0 in k 2.489 * [taylor]: Taking taylor expansion of PI in k 2.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.491 * [taylor]: Taking taylor expansion of 1.0 in k 2.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.492 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.497 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.497 * [taylor]: Taking taylor expansion of 0.5 in k 2.497 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.497 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.497 * [taylor]: Taking taylor expansion of +nan.0 in k 2.497 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.497 * [taylor]: Taking taylor expansion of 1.0 in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.534 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))) in k 2.534 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))) in k 2.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) in k 2.534 * [taylor]: Taking taylor expansion of +nan.0 in k 2.534 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k) in k 2.534 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.534 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.534 * [taylor]: Taking taylor expansion of 0.5 in k 2.534 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.534 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.534 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.534 * [taylor]: Taking taylor expansion of +nan.0 in k 2.534 * [taylor]: Taking taylor expansion of PI in k 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.537 * [taylor]: Taking taylor expansion of 1.0 in k 2.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.537 * [taylor]: Taking taylor expansion of k in k 2.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.542 * [taylor]: Taking taylor expansion of 0.5 in k 2.542 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.542 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.542 * [taylor]: Taking taylor expansion of +nan.0 in k 2.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.542 * [taylor]: Taking taylor expansion of 1.0 in k 2.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.542 * [taylor]: Taking taylor expansion of k in k 2.545 * [taylor]: Taking taylor expansion of k in k 2.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))) in k 2.548 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))) in k 2.548 * [taylor]: Taking taylor expansion of +nan.0 in k 2.548 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.548 * [taylor]: Taking taylor expansion of 0.5 in k 2.548 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.548 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.548 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.548 * [taylor]: Taking taylor expansion of +nan.0 in k 2.548 * [taylor]: Taking taylor expansion of PI in k 2.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.551 * [taylor]: Taking taylor expansion of 1.0 in k 2.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.551 * [taylor]: Taking taylor expansion of k in k 2.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.556 * [taylor]: Taking taylor expansion of 0.5 in k 2.556 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.556 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.556 * [taylor]: Taking taylor expansion of +nan.0 in k 2.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.556 * [taylor]: Taking taylor expansion of 1.0 in k 2.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.556 * [taylor]: Taking taylor expansion of k in k 2.626 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))))) in k 2.626 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))))) in k 2.626 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) in k 2.626 * [taylor]: Taking taylor expansion of +nan.0 in k 2.626 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2)) in k 2.626 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.627 * [taylor]: Taking taylor expansion of 0.5 in k 2.627 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.627 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.627 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.627 * [taylor]: Taking taylor expansion of +nan.0 in k 2.627 * [taylor]: Taking taylor expansion of PI in k 2.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.629 * [taylor]: Taking taylor expansion of 1.0 in k 2.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.635 * [taylor]: Taking taylor expansion of 0.5 in k 2.635 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.635 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.635 * [taylor]: Taking taylor expansion of +nan.0 in k 2.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.635 * [taylor]: Taking taylor expansion of 1.0 in k 2.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.635 * [taylor]: Taking taylor expansion of k in k 2.638 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.638 * [taylor]: Taking taylor expansion of k in k 2.641 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))) in k 2.641 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))) in k 2.641 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) in k 2.642 * [taylor]: Taking taylor expansion of +nan.0 in k 2.642 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k) in k 2.642 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.642 * [taylor]: Taking taylor expansion of 0.5 in k 2.642 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.642 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.642 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.642 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.642 * [taylor]: Taking taylor expansion of +nan.0 in k 2.642 * [taylor]: Taking taylor expansion of PI in k 2.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.644 * [taylor]: Taking taylor expansion of 1.0 in k 2.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.644 * [taylor]: Taking taylor expansion of k in k 2.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.650 * [taylor]: Taking taylor expansion of 0.5 in k 2.650 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.650 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.650 * [taylor]: Taking taylor expansion of +nan.0 in k 2.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.650 * [taylor]: Taking taylor expansion of 1.0 in k 2.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.650 * [taylor]: Taking taylor expansion of k in k 2.653 * [taylor]: Taking taylor expansion of k in k 2.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))) in k 2.656 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))) in k 2.656 * [taylor]: Taking taylor expansion of +nan.0 in k 2.656 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.656 * [taylor]: Taking taylor expansion of 0.5 in k 2.656 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.656 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.656 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.656 * [taylor]: Taking taylor expansion of +nan.0 in k 2.656 * [taylor]: Taking taylor expansion of PI in k 2.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.658 * [taylor]: Taking taylor expansion of 1.0 in k 2.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.659 * [taylor]: Taking taylor expansion of k in k 2.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.664 * [taylor]: Taking taylor expansion of 0.5 in k 2.664 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.664 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.664 * [taylor]: Taking taylor expansion of +nan.0 in k 2.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.664 * [taylor]: Taking taylor expansion of 1.0 in k 2.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.664 * [taylor]: Taking taylor expansion of k in k 2.707 * [approximate]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in (n k) around 0 2.707 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.707 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 2.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.707 * [taylor]: Taking taylor expansion of 0.5 in k 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.707 * [taylor]: Taking taylor expansion of k in k 2.707 * [taylor]: Taking taylor expansion of 1.0 in k 2.707 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 2.707 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.707 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.707 * [taylor]: Taking taylor expansion of -1 in k 2.707 * [taylor]: Taking taylor expansion of n in k 2.708 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 2.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 2.708 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.708 * [taylor]: Taking taylor expansion of 0.5 in k 2.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.708 * [taylor]: Taking taylor expansion of k in k 2.709 * [taylor]: Taking taylor expansion of 1.0 in k 2.709 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 2.709 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 2.709 * [taylor]: Taking taylor expansion of 2.0 in k 2.709 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 2.709 * [taylor]: Taking taylor expansion of PI in k 2.709 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.709 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.709 * [taylor]: Taking taylor expansion of -1 in k 2.709 * [taylor]: Taking taylor expansion of n in k 2.710 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.710 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 2.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 2.710 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.710 * [taylor]: Taking taylor expansion of 0.5 in n 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.710 * [taylor]: Taking taylor expansion of k in n 2.710 * [taylor]: Taking taylor expansion of 1.0 in n 2.710 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 2.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.710 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.710 * [taylor]: Taking taylor expansion of -1 in n 2.710 * [taylor]: Taking taylor expansion of n in n 2.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 2.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.713 * [taylor]: Taking taylor expansion of 0.5 in n 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.713 * [taylor]: Taking taylor expansion of k in n 2.713 * [taylor]: Taking taylor expansion of 1.0 in n 2.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 2.713 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.713 * [taylor]: Taking taylor expansion of 2.0 in n 2.713 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.713 * [taylor]: Taking taylor expansion of PI in n 2.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.713 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.713 * [taylor]: Taking taylor expansion of -1 in n 2.713 * [taylor]: Taking taylor expansion of n in n 2.720 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.720 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 2.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 2.721 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.721 * [taylor]: Taking taylor expansion of 0.5 in n 2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.721 * [taylor]: Taking taylor expansion of k in n 2.721 * [taylor]: Taking taylor expansion of 1.0 in n 2.721 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 2.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.721 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.721 * [taylor]: Taking taylor expansion of -1 in n 2.721 * [taylor]: Taking taylor expansion of n in n 2.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 2.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 2.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.723 * [taylor]: Taking taylor expansion of 0.5 in n 2.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.723 * [taylor]: Taking taylor expansion of k in n 2.723 * [taylor]: Taking taylor expansion of 1.0 in n 2.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 2.723 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.723 * [taylor]: Taking taylor expansion of 2.0 in n 2.723 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.723 * [taylor]: Taking taylor expansion of PI in n 2.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.723 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.723 * [taylor]: Taking taylor expansion of -1 in n 2.723 * [taylor]: Taking taylor expansion of n in n 2.733 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.733 * [taylor]: Taking taylor expansion of 0.5 in k 2.733 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.733 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.733 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.733 * [taylor]: Taking taylor expansion of +nan.0 in k 2.733 * [taylor]: Taking taylor expansion of PI in k 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.736 * [taylor]: Taking taylor expansion of k in k 2.736 * [taylor]: Taking taylor expansion of 1.0 in k 2.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.740 * [taylor]: Taking taylor expansion of 0.5 in k 2.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.740 * [taylor]: Taking taylor expansion of k in k 2.741 * [taylor]: Taking taylor expansion of 1.0 in k 2.741 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.741 * [taylor]: Taking taylor expansion of +nan.0 in k 2.771 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))) in k 2.772 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))) in k 2.772 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) in k 2.772 * [taylor]: Taking taylor expansion of +nan.0 in k 2.772 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.772 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.772 * [taylor]: Taking taylor expansion of 0.5 in k 2.772 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.772 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.772 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.772 * [taylor]: Taking taylor expansion of +nan.0 in k 2.772 * [taylor]: Taking taylor expansion of PI in k 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.774 * [taylor]: Taking taylor expansion of k in k 2.775 * [taylor]: Taking taylor expansion of 1.0 in k 2.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.785 * [taylor]: Taking taylor expansion of 0.5 in k 2.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.785 * [taylor]: Taking taylor expansion of k in k 2.785 * [taylor]: Taking taylor expansion of 1.0 in k 2.785 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.785 * [taylor]: Taking taylor expansion of +nan.0 in k 2.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))) in k 2.788 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)) in k 2.788 * [taylor]: Taking taylor expansion of +nan.0 in k 2.788 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k) in k 2.788 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.788 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.788 * [taylor]: Taking taylor expansion of 0.5 in k 2.788 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.788 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.788 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.788 * [taylor]: Taking taylor expansion of +nan.0 in k 2.788 * [taylor]: Taking taylor expansion of PI in k 2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.791 * [taylor]: Taking taylor expansion of k in k 2.791 * [taylor]: Taking taylor expansion of 1.0 in k 2.795 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.795 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.795 * [taylor]: Taking taylor expansion of 0.5 in k 2.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.795 * [taylor]: Taking taylor expansion of k in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.796 * [taylor]: Taking taylor expansion of +nan.0 in k 2.798 * [taylor]: Taking taylor expansion of k in k 2.856 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))))) in k 2.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))))) in k 2.856 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) in k 2.856 * [taylor]: Taking taylor expansion of +nan.0 in k 2.856 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.856 * [taylor]: Taking taylor expansion of 0.5 in k 2.856 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.856 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.856 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.856 * [taylor]: Taking taylor expansion of +nan.0 in k 2.856 * [taylor]: Taking taylor expansion of PI in k 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.859 * [taylor]: Taking taylor expansion of k in k 2.859 * [taylor]: Taking taylor expansion of 1.0 in k 2.869 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.869 * [taylor]: Taking taylor expansion of 0.5 in k 2.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.870 * [taylor]: Taking taylor expansion of k in k 2.870 * [taylor]: Taking taylor expansion of 1.0 in k 2.870 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.870 * [taylor]: Taking taylor expansion of +nan.0 in k 2.872 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))) in k 2.872 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))) in k 2.872 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) in k 2.872 * [taylor]: Taking taylor expansion of +nan.0 in k 2.872 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2)) in k 2.872 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.872 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.872 * [taylor]: Taking taylor expansion of 0.5 in k 2.872 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.872 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.872 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.872 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.872 * [taylor]: Taking taylor expansion of +nan.0 in k 2.872 * [taylor]: Taking taylor expansion of PI in k 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of 1.0 in k 2.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.880 * [taylor]: Taking taylor expansion of 0.5 in k 2.880 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.880 * [taylor]: Taking taylor expansion of k in k 2.880 * [taylor]: Taking taylor expansion of 1.0 in k 2.880 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.880 * [taylor]: Taking taylor expansion of +nan.0 in k 2.882 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.882 * [taylor]: Taking taylor expansion of k in k 2.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))) in k 2.885 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)) in k 2.885 * [taylor]: Taking taylor expansion of +nan.0 in k 2.885 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k) in k 2.885 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 2.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 2.885 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 2.885 * [taylor]: Taking taylor expansion of 0.5 in k 2.885 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 2.885 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.885 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.885 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.885 * [taylor]: Taking taylor expansion of +nan.0 in k 2.885 * [taylor]: Taking taylor expansion of PI in k 2.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.888 * [taylor]: Taking taylor expansion of k in k 2.888 * [taylor]: Taking taylor expansion of 1.0 in k 2.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 2.892 * [taylor]: Taking taylor expansion of 0.5 in k 2.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 2.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.893 * [taylor]: Taking taylor expansion of k in k 2.893 * [taylor]: Taking taylor expansion of 1.0 in k 2.893 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.893 * [taylor]: Taking taylor expansion of +nan.0 in k 2.895 * [taylor]: Taking taylor expansion of k in k 2.925 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.926 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.926 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in n 2.926 * [taylor]: Taking taylor expansion of 1.0 in n 2.926 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in n 2.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.926 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.926 * [taylor]: Taking taylor expansion of k in n 2.926 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.926 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.926 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.926 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.926 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.926 * [taylor]: Taking taylor expansion of 0.5 in n 2.926 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.926 * [taylor]: Taking taylor expansion of 1.0 in n 2.926 * [taylor]: Taking taylor expansion of k in n 2.926 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.926 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.926 * [taylor]: Taking taylor expansion of 2.0 in n 2.926 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.926 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.926 * [taylor]: Taking taylor expansion of n in n 2.928 * [taylor]: Taking taylor expansion of PI in n 2.936 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.936 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.936 * [taylor]: Taking taylor expansion of 0.5 in n 2.936 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.936 * [taylor]: Taking taylor expansion of 1.0 in n 2.936 * [taylor]: Taking taylor expansion of k in n 2.936 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.936 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.936 * [taylor]: Taking taylor expansion of n in n 2.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 2.939 * [taylor]: Taking taylor expansion of 1.0 in k 2.939 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 2.939 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.939 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.939 * [taylor]: Taking taylor expansion of k in k 2.940 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.940 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.940 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.940 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.940 * [taylor]: Taking taylor expansion of 0.5 in k 2.940 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.940 * [taylor]: Taking taylor expansion of 1.0 in k 2.940 * [taylor]: Taking taylor expansion of k in k 2.940 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.940 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.940 * [taylor]: Taking taylor expansion of 2.0 in k 2.940 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.940 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.940 * [taylor]: Taking taylor expansion of n in k 2.940 * [taylor]: Taking taylor expansion of PI in k 2.941 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.941 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.941 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.941 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.941 * [taylor]: Taking taylor expansion of 0.5 in k 2.941 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.941 * [taylor]: Taking taylor expansion of 1.0 in k 2.941 * [taylor]: Taking taylor expansion of k in k 2.941 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.941 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.941 * [taylor]: Taking taylor expansion of n in k 2.942 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 2.942 * [taylor]: Taking taylor expansion of 1.0 in k 2.942 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 2.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.942 * [taylor]: Taking taylor expansion of k in k 2.944 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.944 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.944 * [taylor]: Taking taylor expansion of 0.5 in k 2.944 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.944 * [taylor]: Taking taylor expansion of 1.0 in k 2.944 * [taylor]: Taking taylor expansion of k in k 2.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.944 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.944 * [taylor]: Taking taylor expansion of 2.0 in k 2.944 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.944 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.944 * [taylor]: Taking taylor expansion of n in k 2.944 * [taylor]: Taking taylor expansion of PI in k 2.945 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.945 * [taylor]: Taking taylor expansion of 0.5 in k 2.945 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.945 * [taylor]: Taking taylor expansion of 1.0 in k 2.945 * [taylor]: Taking taylor expansion of k in k 2.945 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.945 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.945 * [taylor]: Taking taylor expansion of n in k 2.947 * [taylor]: Taking taylor expansion of 0 in n 2.965 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.965 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.965 * [taylor]: Taking taylor expansion of +nan.0 in n 2.965 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.965 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.965 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.965 * [taylor]: Taking taylor expansion of 0.5 in n 2.965 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.965 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.965 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.965 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.965 * [taylor]: Taking taylor expansion of 1.0 in n 2.965 * [taylor]: Taking taylor expansion of (log PI) in n 2.965 * [taylor]: Taking taylor expansion of PI in n 2.967 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.967 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.967 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.967 * [taylor]: Taking taylor expansion of 1.0 in n 2.967 * [taylor]: Taking taylor expansion of (log n) in n 2.967 * [taylor]: Taking taylor expansion of n in n 2.968 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.968 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.968 * [taylor]: Taking taylor expansion of 1.0 in n 2.968 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.968 * [taylor]: Taking taylor expansion of 2.0 in n 3.001 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 3.001 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 3.001 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.001 * [taylor]: Taking taylor expansion of +nan.0 in n 3.001 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.001 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.001 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.001 * [taylor]: Taking taylor expansion of 0.5 in n 3.001 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.001 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.001 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.001 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.001 * [taylor]: Taking taylor expansion of 1.0 in n 3.001 * [taylor]: Taking taylor expansion of (log PI) in n 3.001 * [taylor]: Taking taylor expansion of PI in n 3.003 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.003 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.003 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.003 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.003 * [taylor]: Taking taylor expansion of 1.0 in n 3.003 * [taylor]: Taking taylor expansion of (log n) in n 3.003 * [taylor]: Taking taylor expansion of n in n 3.004 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.004 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.004 * [taylor]: Taking taylor expansion of 1.0 in n 3.004 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.004 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 3.009 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.009 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 3.009 * [taylor]: Taking taylor expansion of +nan.0 in n 3.009 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 3.009 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.009 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.009 * [taylor]: Taking taylor expansion of 0.5 in n 3.009 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.009 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.009 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.009 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.009 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.009 * [taylor]: Taking taylor expansion of 1.0 in n 3.009 * [taylor]: Taking taylor expansion of (log PI) in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.011 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.011 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.011 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.011 * [taylor]: Taking taylor expansion of 1.0 in n 3.011 * [taylor]: Taking taylor expansion of (log n) in n 3.011 * [taylor]: Taking taylor expansion of n in n 3.012 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.012 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.012 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.012 * [taylor]: Taking taylor expansion of 1.0 in n 3.012 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.012 * [taylor]: Taking taylor expansion of 2.0 in n 3.017 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.017 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.017 * [taylor]: Taking taylor expansion of 2.0 in n 3.017 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.017 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.017 * [taylor]: Taking taylor expansion of n in n 3.018 * [taylor]: Taking taylor expansion of PI in n 3.023 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.023 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.023 * [taylor]: Taking taylor expansion of +nan.0 in n 3.023 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.023 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.023 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.024 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.024 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.024 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.024 * [taylor]: Taking taylor expansion of 0.5 in n 3.024 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.024 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.024 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.024 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.024 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.024 * [taylor]: Taking taylor expansion of 1.0 in n 3.024 * [taylor]: Taking taylor expansion of (log PI) in n 3.024 * [taylor]: Taking taylor expansion of PI in n 3.026 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.026 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.026 * [taylor]: Taking taylor expansion of 1.0 in n 3.026 * [taylor]: Taking taylor expansion of (log n) in n 3.026 * [taylor]: Taking taylor expansion of n in n 3.027 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.027 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.027 * [taylor]: Taking taylor expansion of 1.0 in n 3.027 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.027 * [taylor]: Taking taylor expansion of 2.0 in n 3.131 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))))) in n 3.131 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))))) in n 3.131 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.132 * [taylor]: Taking taylor expansion of +nan.0 in n 3.132 * [taylor]: Taking taylor expansion of (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.132 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) in n 3.132 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.132 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.132 * [taylor]: Taking taylor expansion of n in n 3.133 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.133 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.133 * [taylor]: Taking taylor expansion of 2.0 in n 3.133 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.133 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.133 * [taylor]: Taking taylor expansion of n in n 3.134 * [taylor]: Taking taylor expansion of PI in n 3.144 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.144 * [taylor]: Taking taylor expansion of 0.5 in n 3.144 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.144 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.144 * [taylor]: Taking taylor expansion of 1.0 in n 3.144 * [taylor]: Taking taylor expansion of (log PI) in n 3.144 * [taylor]: Taking taylor expansion of PI in n 3.146 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.146 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.146 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.146 * [taylor]: Taking taylor expansion of 1.0 in n 3.146 * [taylor]: Taking taylor expansion of (log n) in n 3.146 * [taylor]: Taking taylor expansion of n in n 3.147 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.147 * [taylor]: Taking taylor expansion of 1.0 in n 3.147 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.147 * [taylor]: Taking taylor expansion of 2.0 in n 3.152 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))) in n 3.152 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))) in n 3.152 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.152 * [taylor]: Taking taylor expansion of +nan.0 in n 3.153 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.153 * [taylor]: Taking taylor expansion of (pow (log (sqrt n)) 2) in n 3.153 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.153 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.153 * [taylor]: Taking taylor expansion of n in n 3.154 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.154 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.154 * [taylor]: Taking taylor expansion of 0.5 in n 3.154 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.154 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.154 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.154 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.155 * [taylor]: Taking taylor expansion of 1.0 in n 3.155 * [taylor]: Taking taylor expansion of (log PI) in n 3.155 * [taylor]: Taking taylor expansion of PI in n 3.156 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.156 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.156 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.156 * [taylor]: Taking taylor expansion of 1.0 in n 3.156 * [taylor]: Taking taylor expansion of (log n) in n 3.156 * [taylor]: Taking taylor expansion of n in n 3.157 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.157 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.157 * [taylor]: Taking taylor expansion of 1.0 in n 3.157 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.157 * [taylor]: Taking taylor expansion of 2.0 in n 3.162 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))) in n 3.162 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))) in n 3.163 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 3.163 * [taylor]: Taking taylor expansion of +nan.0 in n 3.163 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 3.163 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.163 * [taylor]: Taking taylor expansion of 0.5 in n 3.163 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.163 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.163 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.163 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.163 * [taylor]: Taking taylor expansion of 1.0 in n 3.163 * [taylor]: Taking taylor expansion of (log PI) in n 3.163 * [taylor]: Taking taylor expansion of PI in n 3.165 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.165 * [taylor]: Taking taylor expansion of 1.0 in n 3.165 * [taylor]: Taking taylor expansion of (log n) in n 3.165 * [taylor]: Taking taylor expansion of n in n 3.165 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.165 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.165 * [taylor]: Taking taylor expansion of 1.0 in n 3.165 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.165 * [taylor]: Taking taylor expansion of 2.0 in n 3.171 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.171 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.171 * [taylor]: Taking taylor expansion of 2.0 in n 3.171 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.171 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.171 * [taylor]: Taking taylor expansion of n in n 3.172 * [taylor]: Taking taylor expansion of PI in n 3.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))) in n 3.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))) in n 3.176 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.176 * [taylor]: Taking taylor expansion of +nan.0 in n 3.176 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.176 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.176 * [taylor]: Taking taylor expansion of 0.5 in n 3.176 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.176 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.176 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.176 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.176 * [taylor]: Taking taylor expansion of 1.0 in n 3.176 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.176 * [taylor]: Taking taylor expansion of 2.0 in n 3.178 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.178 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.178 * [taylor]: Taking taylor expansion of 1.0 in n 3.178 * [taylor]: Taking taylor expansion of (log n) in n 3.178 * [taylor]: Taking taylor expansion of n in n 3.179 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.179 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.179 * [taylor]: Taking taylor expansion of 1.0 in n 3.179 * [taylor]: Taking taylor expansion of (log PI) in n 3.179 * [taylor]: Taking taylor expansion of PI in n 3.185 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))) in n 3.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))) in n 3.185 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.185 * [taylor]: Taking taylor expansion of +nan.0 in n 3.185 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.185 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.185 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.185 * [taylor]: Taking taylor expansion of n in n 3.186 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.186 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.186 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.186 * [taylor]: Taking taylor expansion of 0.5 in n 3.187 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.187 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.187 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.187 * [taylor]: Taking taylor expansion of 1.0 in n 3.187 * [taylor]: Taking taylor expansion of (log PI) in n 3.187 * [taylor]: Taking taylor expansion of PI in n 3.188 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.188 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.189 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.189 * [taylor]: Taking taylor expansion of 1.0 in n 3.189 * [taylor]: Taking taylor expansion of (log n) in n 3.189 * [taylor]: Taking taylor expansion of n in n 3.189 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.189 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.189 * [taylor]: Taking taylor expansion of 1.0 in n 3.189 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.189 * [taylor]: Taking taylor expansion of 2.0 in n 3.194 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) in n 3.195 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))) in n 3.195 * [taylor]: Taking taylor expansion of +nan.0 in n 3.195 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)) in n 3.195 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.195 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.195 * [taylor]: Taking taylor expansion of 0.5 in n 3.195 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.195 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.195 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.195 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.195 * [taylor]: Taking taylor expansion of 1.0 in n 3.195 * [taylor]: Taking taylor expansion of (log PI) in n 3.195 * [taylor]: Taking taylor expansion of PI in n 3.197 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.197 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.197 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.197 * [taylor]: Taking taylor expansion of 1.0 in n 3.197 * [taylor]: Taking taylor expansion of (log n) in n 3.197 * [taylor]: Taking taylor expansion of n in n 3.197 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.198 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.198 * [taylor]: Taking taylor expansion of 1.0 in n 3.198 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.198 * [taylor]: Taking taylor expansion of 2.0 in n 3.203 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* (sqrt n) PI))) 2) in n 3.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.203 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.203 * [taylor]: Taking taylor expansion of 2.0 in n 3.203 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.203 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.203 * [taylor]: Taking taylor expansion of n in n 3.204 * [taylor]: Taking taylor expansion of PI in n 3.436 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.436 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.436 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.436 * [taylor]: Taking taylor expansion of k in n 3.436 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.436 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 3.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 3.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.436 * [taylor]: Taking taylor expansion of 0.5 in n 3.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.437 * [taylor]: Taking taylor expansion of k in n 3.437 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.437 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 3.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 3.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.439 * [taylor]: Taking taylor expansion of 0.5 in n 3.439 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.439 * [taylor]: Taking taylor expansion of k in n 3.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.439 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.439 * [taylor]: Taking taylor expansion of 2.0 in n 3.439 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.439 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.439 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.447 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.447 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.448 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.448 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.448 * [taylor]: Taking taylor expansion of 0.5 in k 3.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.448 * [taylor]: Taking taylor expansion of 1.0 in k 3.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.448 * [taylor]: Taking taylor expansion of k in k 3.449 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.449 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.449 * [taylor]: Taking taylor expansion of n in k 3.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.450 * [taylor]: Taking taylor expansion of 0.5 in k 3.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.450 * [taylor]: Taking taylor expansion of 1.0 in k 3.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.450 * [taylor]: Taking taylor expansion of k in k 3.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.450 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.450 * [taylor]: Taking taylor expansion of 2.0 in k 3.450 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.450 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.450 * [taylor]: Taking taylor expansion of n in k 3.451 * [taylor]: Taking taylor expansion of PI in k 3.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.452 * [taylor]: Taking taylor expansion of 1.0 in k 3.452 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.452 * [taylor]: Taking taylor expansion of k in k 3.453 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.453 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.453 * [taylor]: Taking taylor expansion of 0.5 in k 3.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.453 * [taylor]: Taking taylor expansion of 1.0 in k 3.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.453 * [taylor]: Taking taylor expansion of k in k 3.453 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.453 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.453 * [taylor]: Taking taylor expansion of n in k 3.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.454 * [taylor]: Taking taylor expansion of 0.5 in k 3.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.454 * [taylor]: Taking taylor expansion of 1.0 in k 3.454 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.454 * [taylor]: Taking taylor expansion of k in k 3.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.455 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.455 * [taylor]: Taking taylor expansion of 2.0 in k 3.455 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.455 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.455 * [taylor]: Taking taylor expansion of n in k 3.455 * [taylor]: Taking taylor expansion of PI in k 3.457 * [taylor]: Taking taylor expansion of 0 in n 3.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.458 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.458 * [taylor]: Taking taylor expansion of +nan.0 in n 3.458 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.458 * [taylor]: Taking taylor expansion of 0.5 in n 3.458 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.459 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.459 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.459 * [taylor]: Taking taylor expansion of n in n 3.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.460 * [taylor]: Taking taylor expansion of 1.0 in n 3.460 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.460 * [taylor]: Taking taylor expansion of k in n 3.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.461 * [taylor]: Taking taylor expansion of 0.5 in n 3.461 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.461 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.461 * [taylor]: Taking taylor expansion of 2.0 in n 3.461 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.461 * [taylor]: Taking taylor expansion of n in n 3.462 * [taylor]: Taking taylor expansion of PI in n 3.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.467 * [taylor]: Taking taylor expansion of 1.0 in n 3.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.467 * [taylor]: Taking taylor expansion of k in n 3.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.480 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.480 * [taylor]: Taking taylor expansion of +nan.0 in n 3.480 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.480 * [taylor]: Taking taylor expansion of 0.5 in n 3.480 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.480 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.480 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.480 * [taylor]: Taking taylor expansion of n in n 3.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.481 * [taylor]: Taking taylor expansion of 1.0 in n 3.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.481 * [taylor]: Taking taylor expansion of k in n 3.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.483 * [taylor]: Taking taylor expansion of 0.5 in n 3.483 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.483 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.483 * [taylor]: Taking taylor expansion of 2.0 in n 3.483 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.483 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.483 * [taylor]: Taking taylor expansion of n in n 3.484 * [taylor]: Taking taylor expansion of PI in n 3.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.488 * [taylor]: Taking taylor expansion of k in n 3.548 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.548 * [taylor]: Taking taylor expansion of 1.0 in n 3.548 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.548 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 3.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 3.548 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.548 * [taylor]: Taking taylor expansion of 0.5 in n 3.548 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.548 * [taylor]: Taking taylor expansion of k in n 3.548 * [taylor]: Taking taylor expansion of 1.0 in n 3.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.549 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.549 * [taylor]: Taking taylor expansion of 2.0 in n 3.549 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.549 * [taylor]: Taking taylor expansion of PI in n 3.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.549 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.549 * [taylor]: Taking taylor expansion of -1 in n 3.549 * [taylor]: Taking taylor expansion of n in n 3.556 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 3.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 3.556 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.556 * [taylor]: Taking taylor expansion of 0.5 in n 3.556 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.556 * [taylor]: Taking taylor expansion of k in n 3.556 * [taylor]: Taking taylor expansion of 1.0 in n 3.557 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.557 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.557 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.557 * [taylor]: Taking taylor expansion of -1 in n 3.557 * [taylor]: Taking taylor expansion of n in n 3.559 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.559 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.559 * [taylor]: Taking taylor expansion of -1 in n 3.559 * [taylor]: Taking taylor expansion of k in n 3.562 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.562 * [taylor]: Taking taylor expansion of 1.0 in k 3.562 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.562 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.562 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.562 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.562 * [taylor]: Taking taylor expansion of 0.5 in k 3.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.562 * [taylor]: Taking taylor expansion of k in k 3.562 * [taylor]: Taking taylor expansion of 1.0 in k 3.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.562 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.562 * [taylor]: Taking taylor expansion of 2.0 in k 3.562 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.562 * [taylor]: Taking taylor expansion of PI in k 3.562 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.562 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.562 * [taylor]: Taking taylor expansion of -1 in k 3.562 * [taylor]: Taking taylor expansion of n in k 3.564 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.564 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.564 * [taylor]: Taking taylor expansion of 0.5 in k 3.564 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.564 * [taylor]: Taking taylor expansion of k in k 3.564 * [taylor]: Taking taylor expansion of 1.0 in k 3.564 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.564 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.564 * [taylor]: Taking taylor expansion of -1 in k 3.564 * [taylor]: Taking taylor expansion of n in k 3.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.565 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.565 * [taylor]: Taking taylor expansion of -1 in k 3.565 * [taylor]: Taking taylor expansion of k in k 3.567 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.567 * [taylor]: Taking taylor expansion of 1.0 in k 3.567 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.567 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.567 * [taylor]: Taking taylor expansion of 0.5 in k 3.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.567 * [taylor]: Taking taylor expansion of k in k 3.567 * [taylor]: Taking taylor expansion of 1.0 in k 3.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.567 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.567 * [taylor]: Taking taylor expansion of 2.0 in k 3.567 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.567 * [taylor]: Taking taylor expansion of PI in k 3.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.567 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.567 * [taylor]: Taking taylor expansion of -1 in k 3.567 * [taylor]: Taking taylor expansion of n in k 3.568 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.569 * [taylor]: Taking taylor expansion of 0.5 in k 3.569 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.569 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.569 * [taylor]: Taking taylor expansion of k in k 3.569 * [taylor]: Taking taylor expansion of 1.0 in k 3.569 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.569 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.569 * [taylor]: Taking taylor expansion of -1 in k 3.569 * [taylor]: Taking taylor expansion of n in k 3.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.570 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.570 * [taylor]: Taking taylor expansion of -1 in k 3.570 * [taylor]: Taking taylor expansion of k in k 3.572 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.572 * [taylor]: Taking taylor expansion of +nan.0 in n 3.572 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.572 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.572 * [taylor]: Taking taylor expansion of 0.5 in n 3.572 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.572 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.572 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.572 * [taylor]: Taking taylor expansion of -1 in n 3.572 * [taylor]: Taking taylor expansion of n in n 3.574 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.574 * [taylor]: Taking taylor expansion of k in n 3.574 * [taylor]: Taking taylor expansion of 1.0 in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.575 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.575 * [taylor]: Taking taylor expansion of 0.5 in n 3.575 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.575 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.575 * [taylor]: Taking taylor expansion of 2.0 in n 3.575 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.575 * [taylor]: Taking taylor expansion of PI in n 3.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.575 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.575 * [taylor]: Taking taylor expansion of -1 in n 3.575 * [taylor]: Taking taylor expansion of n in n 3.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.587 * [taylor]: Taking taylor expansion of k in n 3.587 * [taylor]: Taking taylor expansion of 1.0 in n 3.598 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))))) in n 3.598 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.599 * [taylor]: Taking taylor expansion of +nan.0 in n 3.599 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.599 * [taylor]: Taking taylor expansion of 0.5 in n 3.599 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.599 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.599 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.599 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.599 * [taylor]: Taking taylor expansion of -1 in n 3.599 * [taylor]: Taking taylor expansion of n in n 3.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.600 * [taylor]: Taking taylor expansion of k in n 3.600 * [taylor]: Taking taylor expansion of 1.0 in n 3.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.601 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.601 * [taylor]: Taking taylor expansion of 0.5 in n 3.601 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.601 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.601 * [taylor]: Taking taylor expansion of 2.0 in n 3.601 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.601 * [taylor]: Taking taylor expansion of PI in n 3.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.601 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.601 * [taylor]: Taking taylor expansion of -1 in n 3.601 * [taylor]: Taking taylor expansion of n in n 3.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.607 * [taylor]: Taking taylor expansion of k in n 3.607 * [taylor]: Taking taylor expansion of 1.0 in n 3.657 * * * [progress]: simplifying candidates 3.666 * [simplify]: Simplifying using # : (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (log (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0)) (pow (sqrt n) (/ k 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt (* (cbrt n) (cbrt n))) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt 1) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (* (cbrt (pow (sqrt n) (/ (- 1.0 k) 2.0))) (cbrt (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (sqrt (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) 1) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow 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2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (log (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0)) (pow (sqrt n) (/ k 2.0)))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (pow (sqrt n) (/ k 2.0))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))) (+ (* 0.5 (* k (* (log (- (* +nan.0 PI))) (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n)))))))) (- (+ (* 1.0 (* k (* (log n) (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n)))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (* (log +nan.0) (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))))))) (* +nan.0 (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (* n (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n)))))))))) (- (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow n 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n))))) (- (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow n 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (- (* +nan.0 PI))) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log +nan.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log +nan.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log +nan.0)) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log +nan.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log +nan.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (* k n))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k))))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) (- (+ (* +nan.0 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k))))))))) 3.682 * * [simplify]: iteration 0 : 1267 enodes (cost 2802 ) 3.705 * * [simplify]: iteration 1 : 5001 enodes (cost 2525 ) 3.717 * [simplify]: Simplified to: (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ 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(exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0)) (pow (sqrt n) (/ k 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (sqrt (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 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(/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0)) (pow (sqrt n) (/ k 2.0)))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (pow (sqrt n) (/ k 2.0))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt 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0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log +nan.0)) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log +nan.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log +nan.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))))))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (* k n))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n)) (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k))))) (+ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) (- (* +nan.0 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n)) (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k))))) 3.718 * * * [progress]: adding candidates to table 4.235 * * [progress]: iteration 4 / 4 4.235 * * * [progress]: picking best candidate 4.261 * * * * [pick]: Picked # 4.261 * * * [progress]: localizing error 4.291 * * * [progress]: generating rewritten candidates 4.291 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 4.337 * * * [progress]: generating series expansions 4.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.339 * [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))) in (k n) around 0 4.339 * [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))) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.339 * [taylor]: Taking taylor expansion of k in n 4.339 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.339 * [taylor]: Taking taylor expansion of 0.5 in n 4.339 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.339 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.339 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.339 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.340 * [taylor]: Taking taylor expansion of 2.0 in n 4.341 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.341 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.341 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.341 * [taylor]: Taking taylor expansion of 1.0 in n 4.342 * [taylor]: Taking taylor expansion of (log n) in n 4.342 * [taylor]: Taking taylor expansion of n in n 4.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.342 * [taylor]: Taking taylor expansion of 1.0 in n 4.342 * [taylor]: Taking taylor expansion of (log PI) in n 4.342 * [taylor]: Taking taylor expansion of PI in n 4.348 * [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))) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.348 * [taylor]: Taking taylor expansion of k in k 4.349 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.349 * [taylor]: Taking taylor expansion of 0.5 in k 4.349 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.349 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.349 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.349 * [taylor]: Taking taylor expansion of 1.0 in k 4.350 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.350 * [taylor]: Taking taylor expansion of 2.0 in k 4.351 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.351 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.351 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.351 * [taylor]: Taking taylor expansion of 1.0 in k 4.351 * [taylor]: Taking taylor expansion of (log n) in k 4.351 * [taylor]: Taking taylor expansion of n in k 4.351 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.352 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.352 * [taylor]: Taking taylor expansion of 1.0 in k 4.352 * [taylor]: Taking taylor expansion of (log PI) in k 4.352 * [taylor]: Taking taylor expansion of PI in k 4.362 * [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))) in k 4.362 * [taylor]: Taking taylor expansion of 1.0 in k 4.362 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.362 * [taylor]: Taking taylor expansion of k in k 4.364 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.364 * [taylor]: Taking taylor expansion of 0.5 in k 4.364 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.364 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.364 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.364 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.364 * [taylor]: Taking taylor expansion of 1.0 in k 4.364 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.364 * [taylor]: Taking taylor expansion of 2.0 in k 4.366 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.366 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.366 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.366 * [taylor]: Taking taylor expansion of 1.0 in k 4.366 * [taylor]: Taking taylor expansion of (log n) in k 4.366 * [taylor]: Taking taylor expansion of n in k 4.366 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.366 * [taylor]: Taking taylor expansion of 1.0 in k 4.366 * [taylor]: Taking taylor expansion of (log PI) in k 4.366 * [taylor]: Taking taylor expansion of PI in k 4.372 * [taylor]: Taking taylor expansion of 0 in n 4.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.385 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.385 * [taylor]: Taking taylor expansion of +nan.0 in n 4.385 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.385 * [taylor]: Taking taylor expansion of 0.5 in n 4.385 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.385 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.385 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.385 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.385 * [taylor]: Taking taylor expansion of 1.0 in n 4.385 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.385 * [taylor]: Taking taylor expansion of 2.0 in n 4.387 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.387 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.387 * [taylor]: Taking taylor expansion of 1.0 in n 4.387 * [taylor]: Taking taylor expansion of (log n) in n 4.387 * [taylor]: Taking taylor expansion of n in n 4.388 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.388 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.388 * [taylor]: Taking taylor expansion of 1.0 in n 4.388 * [taylor]: Taking taylor expansion of (log PI) in n 4.388 * [taylor]: Taking taylor expansion of PI in n 4.418 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.418 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.418 * [taylor]: Taking taylor expansion of +nan.0 in n 4.418 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.418 * [taylor]: Taking taylor expansion of 0.5 in n 4.418 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.418 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.418 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.418 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.418 * [taylor]: Taking taylor expansion of 1.0 in n 4.418 * [taylor]: Taking taylor expansion of (log PI) in n 4.418 * [taylor]: Taking taylor expansion of PI in n 4.420 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.420 * [taylor]: Taking taylor expansion of 1.0 in n 4.420 * [taylor]: Taking taylor expansion of (log n) in n 4.420 * [taylor]: Taking taylor expansion of n in n 4.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.421 * [taylor]: Taking taylor expansion of 1.0 in n 4.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.421 * [taylor]: Taking taylor expansion of 2.0 in n 4.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.477 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.477 * [taylor]: Taking taylor expansion of +nan.0 in n 4.477 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.477 * [taylor]: Taking taylor expansion of 0.5 in n 4.477 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.477 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.477 * [taylor]: Taking taylor expansion of 1.0 in n 4.477 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.477 * [taylor]: Taking taylor expansion of 2.0 in n 4.479 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.479 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.479 * [taylor]: Taking taylor expansion of 1.0 in n 4.479 * [taylor]: Taking taylor expansion of (log n) in n 4.479 * [taylor]: Taking taylor expansion of n in n 4.480 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.480 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.480 * [taylor]: Taking taylor expansion of 1.0 in n 4.480 * [taylor]: Taking taylor expansion of (log PI) in n 4.480 * [taylor]: Taking taylor expansion of PI in n 4.492 * [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))) in (k n) around 0 4.492 * [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))) in n 4.492 * [taylor]: Taking taylor expansion of 1.0 in n 4.492 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.492 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.492 * [taylor]: Taking taylor expansion of k in n 4.492 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.492 * [taylor]: Taking taylor expansion of 0.5 in n 4.492 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.492 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.492 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.492 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.492 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.492 * [taylor]: Taking taylor expansion of 1.0 in n 4.492 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.492 * [taylor]: Taking taylor expansion of 2.0 in n 4.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.494 * [taylor]: Taking taylor expansion of 1.0 in n 4.494 * [taylor]: Taking taylor expansion of (log PI) in n 4.494 * [taylor]: Taking taylor expansion of PI in n 4.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.496 * [taylor]: Taking taylor expansion of 1.0 in n 4.496 * [taylor]: Taking taylor expansion of (log n) in n 4.496 * [taylor]: Taking taylor expansion of n in n 4.503 * [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))) in k 4.503 * [taylor]: Taking taylor expansion of 1.0 in k 4.503 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.503 * [taylor]: Taking taylor expansion of k in k 4.504 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.504 * [taylor]: Taking taylor expansion of 0.5 in k 4.504 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.504 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.504 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.504 * [taylor]: Taking taylor expansion of 1.0 in k 4.504 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.504 * [taylor]: Taking taylor expansion of 2.0 in k 4.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.506 * [taylor]: Taking taylor expansion of 1.0 in k 4.506 * [taylor]: Taking taylor expansion of (log PI) in k 4.506 * [taylor]: Taking taylor expansion of PI in k 4.508 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.508 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.508 * [taylor]: Taking taylor expansion of 1.0 in k 4.508 * [taylor]: Taking taylor expansion of (log n) in k 4.508 * [taylor]: Taking taylor expansion of n in k 4.515 * [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))) in k 4.515 * [taylor]: Taking taylor expansion of 1.0 in k 4.515 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.515 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.515 * [taylor]: Taking taylor expansion of k in k 4.516 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.516 * [taylor]: Taking taylor expansion of 0.5 in k 4.516 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.516 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.516 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.517 * [taylor]: Taking taylor expansion of 1.0 in k 4.517 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.517 * [taylor]: Taking taylor expansion of 2.0 in k 4.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.518 * [taylor]: Taking taylor expansion of 1.0 in k 4.518 * [taylor]: Taking taylor expansion of (log PI) in k 4.518 * [taylor]: Taking taylor expansion of PI in k 4.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.520 * [taylor]: Taking taylor expansion of 1.0 in k 4.520 * [taylor]: Taking taylor expansion of (log n) in k 4.520 * [taylor]: Taking taylor expansion of n in k 4.529 * [taylor]: Taking taylor expansion of 0 in n 4.551 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.551 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.551 * [taylor]: Taking taylor expansion of +nan.0 in n 4.551 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.551 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.551 * [taylor]: Taking taylor expansion of 0.5 in n 4.551 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.551 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.551 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.551 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.551 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.551 * [taylor]: Taking taylor expansion of 1.0 in n 4.551 * [taylor]: Taking taylor expansion of (log PI) in n 4.551 * [taylor]: Taking taylor expansion of PI in n 4.553 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.553 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.553 * [taylor]: Taking taylor expansion of 1.0 in n 4.553 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.553 * [taylor]: Taking taylor expansion of 2.0 in n 4.555 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.555 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.555 * [taylor]: Taking taylor expansion of 1.0 in n 4.555 * [taylor]: Taking taylor expansion of (log n) in n 4.555 * [taylor]: Taking taylor expansion of n in n 4.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.590 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.590 * [taylor]: Taking taylor expansion of +nan.0 in n 4.590 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.590 * [taylor]: Taking taylor expansion of 0.5 in n 4.590 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.590 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.590 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.591 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.591 * [taylor]: Taking taylor expansion of 1.0 in n 4.591 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.591 * [taylor]: Taking taylor expansion of 2.0 in n 4.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.592 * [taylor]: Taking taylor expansion of 1.0 in n 4.592 * [taylor]: Taking taylor expansion of (log PI) in n 4.592 * [taylor]: Taking taylor expansion of PI in n 4.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.594 * [taylor]: Taking taylor expansion of 1.0 in n 4.594 * [taylor]: Taking taylor expansion of (log n) in n 4.594 * [taylor]: Taking taylor expansion of n in n 4.660 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.660 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.660 * [taylor]: Taking taylor expansion of +nan.0 in n 4.660 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.660 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.660 * [taylor]: Taking taylor expansion of 0.5 in n 4.660 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.660 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.660 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.660 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.660 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.660 * [taylor]: Taking taylor expansion of 1.0 in n 4.660 * [taylor]: Taking taylor expansion of (log PI) in n 4.660 * [taylor]: Taking taylor expansion of PI in n 4.662 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.662 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.662 * [taylor]: Taking taylor expansion of 1.0 in n 4.662 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.662 * [taylor]: Taking taylor expansion of 2.0 in n 4.664 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.664 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.664 * [taylor]: Taking taylor expansion of 1.0 in n 4.664 * [taylor]: Taking taylor expansion of (log n) in n 4.664 * [taylor]: Taking taylor expansion of n in n 4.680 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (k n) around 0 4.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 4.680 * [taylor]: Taking taylor expansion of 1.0 in n 4.680 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 4.680 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 4.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 4.680 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 4.680 * [taylor]: Taking taylor expansion of 0.5 in n 4.680 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 4.680 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.681 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.681 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.681 * [taylor]: Taking taylor expansion of 1.0 in n 4.681 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.681 * [taylor]: Taking taylor expansion of 2.0 in n 4.682 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.682 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.682 * [taylor]: Taking taylor expansion of 1.0 in n 4.682 * [taylor]: Taking taylor expansion of (log PI) in n 4.682 * [taylor]: Taking taylor expansion of PI in n 4.696 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 4.696 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.696 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.696 * [taylor]: Taking taylor expansion of -1 in n 4.696 * [taylor]: Taking taylor expansion of k in n 4.696 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 4.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 4.696 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 4.696 * [taylor]: Taking taylor expansion of 1.0 in n 4.697 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 4.697 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 4.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 4.697 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 4.697 * [taylor]: Taking taylor expansion of 1.0 in n 4.697 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 4.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.697 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.697 * [taylor]: Taking taylor expansion of -1 in n 4.697 * [taylor]: Taking taylor expansion of n in n 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 4.703 * [taylor]: Taking taylor expansion of 1.0 in k 4.703 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 4.703 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 4.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 4.703 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 4.703 * [taylor]: Taking taylor expansion of 0.5 in k 4.703 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 4.703 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.703 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.703 * [taylor]: Taking taylor expansion of 1.0 in k 4.703 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.703 * [taylor]: Taking taylor expansion of 2.0 in k 4.705 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.705 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.705 * [taylor]: Taking taylor expansion of 1.0 in k 4.705 * [taylor]: Taking taylor expansion of (log PI) in k 4.705 * [taylor]: Taking taylor expansion of PI in k 4.725 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 4.725 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.725 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.725 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.725 * [taylor]: Taking taylor expansion of -1 in k 4.725 * [taylor]: Taking taylor expansion of k in k 4.726 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 4.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 4.726 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 4.726 * [taylor]: Taking taylor expansion of 1.0 in k 4.726 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 4.726 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 4.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 4.726 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 4.726 * [taylor]: Taking taylor expansion of 1.0 in k 4.726 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 4.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.727 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.727 * [taylor]: Taking taylor expansion of -1 in k 4.727 * [taylor]: Taking taylor expansion of n in k 4.727 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 4.727 * [taylor]: Taking taylor expansion of 1.0 in k 4.727 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 4.727 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 4.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 4.727 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 4.727 * [taylor]: Taking taylor expansion of 0.5 in k 4.727 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 4.727 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.727 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.727 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.727 * [taylor]: Taking taylor expansion of 1.0 in k 4.727 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.727 * [taylor]: Taking taylor expansion of 2.0 in k 4.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.729 * [taylor]: Taking taylor expansion of 1.0 in k 4.729 * [taylor]: Taking taylor expansion of (log PI) in k 4.729 * [taylor]: Taking taylor expansion of PI in k 4.743 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 4.743 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.743 * [taylor]: Taking taylor expansion of -1 in k 4.743 * [taylor]: Taking taylor expansion of k in k 4.745 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 4.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 4.745 * [taylor]: Taking taylor expansion of 1.0 in k 4.745 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 4.745 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 4.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 4.745 * [taylor]: Taking taylor expansion of 1.0 in k 4.745 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 4.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.745 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.745 * [taylor]: Taking taylor expansion of -1 in k 4.745 * [taylor]: Taking taylor expansion of n in k 4.752 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 4.752 * [taylor]: Taking taylor expansion of +nan.0 in n 4.752 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 4.752 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 4.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 4.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 4.752 * [taylor]: Taking taylor expansion of 0.5 in n 4.752 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 4.752 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.752 * [taylor]: Taking taylor expansion of 1.0 in n 4.752 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.752 * [taylor]: Taking taylor expansion of 2.0 in n 4.754 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.754 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.754 * [taylor]: Taking taylor expansion of 1.0 in n 4.754 * [taylor]: Taking taylor expansion of (log PI) in n 4.754 * [taylor]: Taking taylor expansion of PI in n 4.768 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 4.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 4.768 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 4.768 * [taylor]: Taking taylor expansion of 1.0 in n 4.768 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 4.768 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 4.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 4.768 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 4.768 * [taylor]: Taking taylor expansion of 1.0 in n 4.768 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 4.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.768 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.768 * [taylor]: Taking taylor expansion of -1 in n 4.768 * [taylor]: Taking taylor expansion of n in n 4.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))))) in n 4.817 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n)))) in n 4.817 * [taylor]: Taking taylor expansion of +nan.0 in n 4.817 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))) in n 4.817 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 4.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 4.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 4.817 * [taylor]: Taking taylor expansion of 0.5 in n 4.818 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 4.818 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.818 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.818 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.818 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.818 * [taylor]: Taking taylor expansion of 1.0 in n 4.818 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.818 * [taylor]: Taking taylor expansion of 2.0 in n 4.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.819 * [taylor]: Taking taylor expansion of 1.0 in n 4.819 * [taylor]: Taking taylor expansion of (log PI) in n 4.819 * [taylor]: Taking taylor expansion of PI in n 4.833 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.833 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.833 * [taylor]: Taking taylor expansion of -1 in n 4.833 * [taylor]: Taking taylor expansion of n in n 4.927 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 4.928 * [approximate]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in (n) around 0 4.928 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.928 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.928 * [taylor]: Taking taylor expansion of 0.5 in n 4.928 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.928 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.928 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.928 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.928 * [taylor]: Taking taylor expansion of 1.0 in n 4.928 * [taylor]: Taking taylor expansion of (log PI) in n 4.928 * [taylor]: Taking taylor expansion of PI in n 4.930 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.930 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.930 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.930 * [taylor]: Taking taylor expansion of 1.0 in n 4.930 * [taylor]: Taking taylor expansion of (log n) in n 4.930 * [taylor]: Taking taylor expansion of n in n 4.931 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.931 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.931 * [taylor]: Taking taylor expansion of 1.0 in n 4.931 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.931 * [taylor]: Taking taylor expansion of 2.0 in n 4.936 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.936 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.936 * [taylor]: Taking taylor expansion of 0.5 in n 4.936 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.936 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.936 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.936 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.936 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [taylor]: Taking taylor expansion of (log PI) in n 4.936 * [taylor]: Taking taylor expansion of PI in n 4.938 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.938 * [taylor]: Taking taylor expansion of 1.0 in n 4.938 * [taylor]: Taking taylor expansion of (log n) in n 4.938 * [taylor]: Taking taylor expansion of n in n 4.939 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.939 * [taylor]: Taking taylor expansion of 1.0 in n 4.939 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.939 * [taylor]: Taking taylor expansion of 2.0 in n 5.185 * [approximate]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in (n) around 0 5.185 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.185 * [taylor]: Taking taylor expansion of 0.5 in n 5.185 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.185 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.186 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.186 * [taylor]: Taking taylor expansion of 1.0 in n 5.186 * [taylor]: Taking taylor expansion of (log PI) in n 5.186 * [taylor]: Taking taylor expansion of PI in n 5.187 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.187 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.187 * [taylor]: Taking taylor expansion of 1.0 in n 5.187 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.187 * [taylor]: Taking taylor expansion of 2.0 in n 5.189 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.189 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.189 * [taylor]: Taking taylor expansion of 1.0 in n 5.189 * [taylor]: Taking taylor expansion of (log n) in n 5.189 * [taylor]: Taking taylor expansion of n in n 5.197 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.197 * [taylor]: Taking taylor expansion of 0.5 in n 5.197 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.197 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.197 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.197 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.197 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.197 * [taylor]: Taking taylor expansion of 1.0 in n 5.197 * [taylor]: Taking taylor expansion of (log PI) in n 5.197 * [taylor]: Taking taylor expansion of PI in n 5.199 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.199 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.199 * [taylor]: Taking taylor expansion of 1.0 in n 5.199 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.199 * [taylor]: Taking taylor expansion of 2.0 in n 5.201 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.201 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.201 * [taylor]: Taking taylor expansion of 1.0 in n 5.201 * [taylor]: Taking taylor expansion of (log n) in n 5.201 * [taylor]: Taking taylor expansion of n in n 5.476 * [approximate]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in (n) around 0 5.476 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.477 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 5.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.477 * [taylor]: Taking taylor expansion of 0.5 in n 5.477 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.477 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.477 * [taylor]: Taking taylor expansion of 1.0 in n 5.477 * [taylor]: Taking taylor expansion of (log PI) in n 5.477 * [taylor]: Taking taylor expansion of PI in n 5.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.479 * [taylor]: Taking taylor expansion of 1.0 in n 5.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.479 * [taylor]: Taking taylor expansion of 2.0 in n 5.493 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.493 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.493 * [taylor]: Taking taylor expansion of 1.0 in n 5.493 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.493 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.493 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.493 * [taylor]: Taking taylor expansion of 1.0 in n 5.493 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.493 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.493 * [taylor]: Taking taylor expansion of -1 in n 5.493 * [taylor]: Taking taylor expansion of n in n 5.499 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.499 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 5.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.499 * [taylor]: Taking taylor expansion of 0.5 in n 5.499 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.499 * [taylor]: Taking taylor expansion of 1.0 in n 5.499 * [taylor]: Taking taylor expansion of (log PI) in n 5.499 * [taylor]: Taking taylor expansion of PI in n 5.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.501 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.501 * [taylor]: Taking taylor expansion of 1.0 in n 5.501 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.501 * [taylor]: Taking taylor expansion of 2.0 in n 5.515 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.515 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.515 * [taylor]: Taking taylor expansion of 1.0 in n 5.515 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.515 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.515 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.515 * [taylor]: Taking taylor expansion of 1.0 in n 5.515 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.515 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.515 * [taylor]: Taking taylor expansion of -1 in n 5.515 * [taylor]: Taking taylor expansion of n in n 5.661 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.661 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 5.661 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 5.661 * [taylor]: Taking taylor expansion of 2.0 in n 5.661 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 5.661 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.662 * [taylor]: Taking taylor expansion of n in n 5.663 * [taylor]: Taking taylor expansion of PI in n 5.663 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 5.663 * [taylor]: Taking taylor expansion of 2.0 in n 5.663 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 5.663 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.663 * [taylor]: Taking taylor expansion of n in n 5.664 * [taylor]: Taking taylor expansion of PI in n 5.684 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 5.684 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 5.684 * [taylor]: Taking taylor expansion of 2.0 in n 5.684 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 5.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.685 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.685 * [taylor]: Taking taylor expansion of n in n 5.686 * [taylor]: Taking taylor expansion of PI in n 5.686 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 5.686 * [taylor]: Taking taylor expansion of 2.0 in n 5.686 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 5.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.686 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.686 * [taylor]: Taking taylor expansion of n in n 5.687 * [taylor]: Taking taylor expansion of PI in n 5.716 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 5.716 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 5.716 * [taylor]: Taking taylor expansion of 2.0 in n 5.716 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 5.716 * [taylor]: Taking taylor expansion of PI in n 5.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.716 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.716 * [taylor]: Taking taylor expansion of -1 in n 5.716 * [taylor]: Taking taylor expansion of n in n 5.717 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 5.717 * [taylor]: Taking taylor expansion of 2.0 in n 5.717 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 5.717 * [taylor]: Taking taylor expansion of PI in n 5.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.717 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.717 * [taylor]: Taking taylor expansion of -1 in n 5.717 * [taylor]: Taking taylor expansion of n in n 5.738 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 5.739 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 5.739 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 5.739 * [taylor]: Taking taylor expansion of 2.0 in n 5.739 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 5.739 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.739 * [taylor]: Taking taylor expansion of n in n 5.740 * [taylor]: Taking taylor expansion of PI in n 5.740 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 5.740 * [taylor]: Taking taylor expansion of 2.0 in n 5.740 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 5.740 * [taylor]: Taking taylor expansion of (sqrt n) in n 5.740 * [taylor]: Taking taylor expansion of n in n 5.741 * [taylor]: Taking taylor expansion of PI in n 5.761 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 5.762 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 5.762 * [taylor]: Taking taylor expansion of 2.0 in n 5.762 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 5.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.762 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.762 * [taylor]: Taking taylor expansion of n in n 5.763 * [taylor]: Taking taylor expansion of PI in n 5.763 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 5.763 * [taylor]: Taking taylor expansion of 2.0 in n 5.763 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 5.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 5.763 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.763 * [taylor]: Taking taylor expansion of n in n 5.764 * [taylor]: Taking taylor expansion of PI in n 5.793 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 5.793 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 5.793 * [taylor]: Taking taylor expansion of 2.0 in n 5.793 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 5.793 * [taylor]: Taking taylor expansion of PI in n 5.793 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.793 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.793 * [taylor]: Taking taylor expansion of -1 in n 5.793 * [taylor]: Taking taylor expansion of n in n 5.794 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 5.794 * [taylor]: Taking taylor expansion of 2.0 in n 5.794 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 5.794 * [taylor]: Taking taylor expansion of PI in n 5.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.794 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.794 * [taylor]: Taking taylor expansion of -1 in n 5.794 * [taylor]: Taking taylor expansion of n in n 5.815 * * * [progress]: simplifying candidates 5.818 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* 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+nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow n 2))))))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) 5.830 * * [simplify]: iteration 0 : 815 enodes (cost 1961 ) 5.843 * * [simplify]: iteration 1 : 3298 enodes (cost 1745 ) 5.900 * * [simplify]: iteration 2 : 5002 enodes (cost 1744 ) 5.909 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 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2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (/ (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (sqrt k)) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (* 2.0 PI) n) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) 3) (* (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) 3) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (* (cbrt n) (cbrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (cbrt (pow (sqrt n) (/ 1.0 2.0))) (cbrt (pow (sqrt n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (pow (sqrt n) (* 2 (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- +nan.0 (* +nan.0 (pow k 2)))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 k) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- +nan.0 (* +nan.0 (/ 1 k)))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 n))))) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (/ 1 n) (/ 1 (pow n 2)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (- (* n PI) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* n PI) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) 5.910 * * * [progress]: adding candidates to table 6.399 * [progress]: [Phase 3 of 3] Extracting. 6.399 * * [regime]: Finding splitpoints for: (# # # # # # #) 6.401 * * * [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) 6.401 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 6.438 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 6.458 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # #) 6.501 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 6.537 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 6.569 * * * [regime]: Found split indices: #