9.861 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.082 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.084 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.085 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.088 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.093 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.116 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.116 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.177 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.177 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.177 * [taylor]: Taking taylor expansion of 0.5 in k 0.177 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.177 * [taylor]: Taking taylor expansion of 1.0 in k 0.177 * [taylor]: Taking taylor expansion of k in k 0.177 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.177 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.177 * [taylor]: Taking taylor expansion of 2.0 in k 0.177 * [taylor]: Taking taylor expansion of (* n PI) in k 0.177 * [taylor]: Taking taylor expansion of n in k 0.177 * [taylor]: Taking taylor expansion of PI in k 0.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.178 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.178 * [taylor]: Taking taylor expansion of 0.5 in n 0.178 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.178 * [taylor]: Taking taylor expansion of 1.0 in n 0.178 * [taylor]: Taking taylor expansion of k in n 0.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.178 * [taylor]: Taking taylor expansion of 2.0 in n 0.178 * [taylor]: Taking taylor expansion of (* n PI) in n 0.178 * [taylor]: Taking taylor expansion of n in n 0.178 * [taylor]: Taking taylor expansion of PI in n 0.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.184 * [taylor]: Taking taylor expansion of 0.5 in n 0.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.184 * [taylor]: Taking taylor expansion of 1.0 in n 0.184 * [taylor]: Taking taylor expansion of k in n 0.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.184 * [taylor]: Taking taylor expansion of 2.0 in n 0.184 * [taylor]: Taking taylor expansion of (* n PI) in n 0.184 * [taylor]: Taking taylor expansion of n in n 0.184 * [taylor]: Taking taylor expansion of PI in n 0.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.189 * [taylor]: Taking taylor expansion of 0.5 in k 0.189 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.189 * [taylor]: Taking taylor expansion of 1.0 in k 0.189 * [taylor]: Taking taylor expansion of k in k 0.189 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.189 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.189 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.189 * [taylor]: Taking taylor expansion of 2.0 in k 0.189 * [taylor]: Taking taylor expansion of PI in k 0.190 * [taylor]: Taking taylor expansion of (log n) in k 0.190 * [taylor]: Taking taylor expansion of n in k 0.199 * [taylor]: Taking taylor expansion of 0 in k 0.215 * [taylor]: Taking taylor expansion of 0 in k 0.239 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.239 * [taylor]: Taking taylor expansion of 0.5 in k 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.239 * [taylor]: Taking taylor expansion of 1.0 in k 0.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.239 * [taylor]: Taking taylor expansion of k in k 0.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.239 * [taylor]: Taking taylor expansion of 2.0 in k 0.239 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.239 * [taylor]: Taking taylor expansion of PI in k 0.239 * [taylor]: Taking taylor expansion of n in k 0.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.241 * [taylor]: Taking taylor expansion of 0.5 in n 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.241 * [taylor]: Taking taylor expansion of 1.0 in n 0.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.241 * [taylor]: Taking taylor expansion of k in n 0.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.241 * [taylor]: Taking taylor expansion of 2.0 in n 0.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.241 * [taylor]: Taking taylor expansion of PI in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.244 * [taylor]: Taking taylor expansion of 1.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.244 * [taylor]: Taking taylor expansion of k in n 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.244 * [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 0.248 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.248 * [taylor]: Taking taylor expansion of 0.5 in k 0.248 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.248 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.248 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.248 * [taylor]: Taking taylor expansion of 2.0 in k 0.248 * [taylor]: Taking taylor expansion of PI in k 0.249 * [taylor]: Taking taylor expansion of (log n) in k 0.249 * [taylor]: Taking taylor expansion of n in k 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.249 * [taylor]: Taking taylor expansion of 1.0 in k 0.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.250 * [taylor]: Taking taylor expansion of k in k 0.260 * [taylor]: Taking taylor expansion of 0 in k 0.267 * [taylor]: Taking taylor expansion of 0 in k 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.277 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.277 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.277 * [taylor]: Taking taylor expansion of 0.5 in k 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.277 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of 1.0 in k 0.277 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.277 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.277 * [taylor]: Taking taylor expansion of -2.0 in k 0.277 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.277 * [taylor]: Taking taylor expansion of PI in k 0.277 * [taylor]: Taking taylor expansion of n in k 0.278 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.278 * [taylor]: Taking taylor expansion of 0.5 in n 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.278 * [taylor]: Taking taylor expansion of k in n 0.278 * [taylor]: Taking taylor expansion of 1.0 in n 0.278 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.278 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.278 * [taylor]: Taking taylor expansion of -2.0 in n 0.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.278 * [taylor]: Taking taylor expansion of PI in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.282 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.282 * [taylor]: Taking taylor expansion of 0.5 in n 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.282 * [taylor]: Taking taylor expansion of k in n 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.282 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of -2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.286 * [taylor]: Taking taylor expansion of 0.5 in k 0.286 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.286 * [taylor]: Taking taylor expansion of k in k 0.286 * [taylor]: Taking taylor expansion of 1.0 in k 0.286 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.286 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.286 * [taylor]: Taking taylor expansion of -2.0 in k 0.286 * [taylor]: Taking taylor expansion of PI in k 0.287 * [taylor]: Taking taylor expansion of (log n) in k 0.287 * [taylor]: Taking taylor expansion of n in k 0.296 * [taylor]: Taking taylor expansion of 0 in k 0.303 * [taylor]: Taking taylor expansion of 0 in k 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.318 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.318 * [taylor]: Taking taylor expansion of 2.0 in n 0.318 * [taylor]: Taking taylor expansion of (* n PI) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of PI in n 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.318 * [taylor]: Taking taylor expansion of 2.0 in n 0.318 * [taylor]: Taking taylor expansion of (* n PI) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of PI in n 0.330 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.340 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of -2.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.350 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.350 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.351 * [taylor]: Taking taylor expansion of 1.0 in k 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.374 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.374 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.374 * [taylor]: Taking taylor expansion of 1.0 in k 0.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.374 * [taylor]: Taking taylor expansion of -1 in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.375 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.375 * [taylor]: Taking taylor expansion of -1 in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.387 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.387 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.388 * [taylor]: Taking taylor expansion of 0.5 in n 0.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.388 * [taylor]: Taking taylor expansion of 2.0 in n 0.388 * [taylor]: Taking taylor expansion of (* n PI) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.393 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.393 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.393 * [taylor]: Taking taylor expansion of k in k 0.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.400 * [taylor]: Taking taylor expansion of 0.5 in k 0.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [taylor]: Taking taylor expansion of k in k 0.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.400 * [taylor]: Taking taylor expansion of 2.0 in k 0.400 * [taylor]: Taking taylor expansion of (* n PI) in k 0.400 * [taylor]: Taking taylor expansion of n in k 0.400 * [taylor]: Taking taylor expansion of PI in k 0.401 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.401 * [taylor]: Taking taylor expansion of 1.0 in k 0.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.401 * [taylor]: Taking taylor expansion of k in k 0.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.402 * [taylor]: Taking taylor expansion of 0.5 in k 0.402 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.403 * [taylor]: Taking taylor expansion of 2.0 in k 0.403 * [taylor]: Taking taylor expansion of (* n PI) in k 0.403 * [taylor]: Taking taylor expansion of n in k 0.403 * [taylor]: Taking taylor expansion of PI in k 0.404 * [taylor]: Taking taylor expansion of 0 in n 0.409 * [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 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of +nan.0 in n 0.409 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.409 * [taylor]: Taking taylor expansion of 0.5 in n 0.409 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.409 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.409 * [taylor]: Taking taylor expansion of 1.0 in n 0.410 * [taylor]: Taking taylor expansion of (log PI) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.411 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of (log n) in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.412 * [taylor]: Taking taylor expansion of 1.0 in n 0.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [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 0.431 * [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 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of +nan.0 in n 0.431 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.431 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.431 * [taylor]: Taking taylor expansion of 0.5 in n 0.431 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.431 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.431 * [taylor]: Taking taylor expansion of 1.0 in n 0.431 * [taylor]: Taking taylor expansion of (log PI) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.433 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.433 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log n) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.434 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.434 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [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 0.439 * [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 0.439 * [taylor]: Taking taylor expansion of +nan.0 in n 0.439 * [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 0.439 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.440 * [taylor]: Taking taylor expansion of 0.5 in n 0.440 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.440 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.440 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.440 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.442 * [taylor]: Taking taylor expansion of 1.0 in n 0.442 * [taylor]: Taking taylor expansion of (log PI) in n 0.442 * [taylor]: Taking taylor expansion of PI in n 0.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log n) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.448 * [taylor]: Taking taylor expansion of (* n PI) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.503 * [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 0.503 * [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 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of +nan.0 in n 0.503 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.503 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.503 * [taylor]: Taking taylor expansion of 2.0 in n 0.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log n) in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log PI) in n 0.506 * [taylor]: Taking taylor expansion of PI in n 0.511 * [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 0.511 * [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 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log PI) in n 0.513 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log n) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.519 * [taylor]: Taking taylor expansion of (* n PI) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.519 * [taylor]: Taking taylor expansion of PI in n 0.522 * [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 0.522 * [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 0.522 * [taylor]: Taking taylor expansion of +nan.0 in n 0.522 * [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 0.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.523 * [taylor]: Taking taylor expansion of 0.5 in n 0.523 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.524 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log PI) in n 0.525 * [taylor]: Taking taylor expansion of PI in n 0.526 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log n) in n 0.526 * [taylor]: Taking taylor expansion of n in n 0.530 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.531 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [taylor]: Taking taylor expansion of (* n PI) in n 0.531 * [taylor]: Taking taylor expansion of n in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.609 * [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 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.609 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.610 * [taylor]: Taking taylor expansion of 0.5 in n 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.610 * [taylor]: Taking taylor expansion of k in n 0.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.610 * [taylor]: Taking taylor expansion of 2.0 in n 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.613 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.615 * [taylor]: Taking taylor expansion of 0.5 in k 0.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.615 * [taylor]: Taking taylor expansion of 1.0 in k 0.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.615 * [taylor]: Taking taylor expansion of 2.0 in k 0.615 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.616 * [taylor]: Taking taylor expansion of 1.0 in k 0.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.616 * [taylor]: Taking taylor expansion of k in k 0.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.617 * [taylor]: Taking taylor expansion of 0.5 in k 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.617 * [taylor]: Taking taylor expansion of 1.0 in k 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.617 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.618 * [taylor]: Taking taylor expansion of 2.0 in k 0.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.618 * [taylor]: Taking taylor expansion of PI in k 0.618 * [taylor]: Taking taylor expansion of n in k 0.619 * [taylor]: Taking taylor expansion of 0 in n 0.620 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.620 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.620 * [taylor]: Taking taylor expansion of +nan.0 in n 0.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.620 * [taylor]: Taking taylor expansion of 0.5 in n 0.620 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.630 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.630 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.630 * [taylor]: Taking taylor expansion of +nan.0 in n 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.632 * [taylor]: Taking taylor expansion of 1.0 in n 0.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.632 * [taylor]: Taking taylor expansion of k in n 0.649 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.649 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.649 * [taylor]: Taking taylor expansion of +nan.0 in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.649 * [taylor]: Taking taylor expansion of 0.5 in n 0.649 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.649 * [taylor]: Taking taylor expansion of 2.0 in n 0.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.649 * [taylor]: Taking taylor expansion of PI in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.650 * [taylor]: Taking taylor expansion of 1.0 in n 0.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.650 * [taylor]: Taking taylor expansion of k in n 0.659 * [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 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.659 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.659 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.659 * [taylor]: Taking taylor expansion of 0.5 in n 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.659 * [taylor]: Taking taylor expansion of k in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.659 * [taylor]: Taking taylor expansion of -2.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.659 * [taylor]: Taking taylor expansion of PI in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.663 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.663 * [taylor]: Taking taylor expansion of -1 in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.669 * [taylor]: Taking taylor expansion of 0.5 in k 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.669 * [taylor]: Taking taylor expansion of k in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.669 * [taylor]: Taking taylor expansion of -2.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.669 * [taylor]: Taking taylor expansion of PI in k 0.669 * [taylor]: Taking taylor expansion of n in k 0.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.670 * [taylor]: Taking taylor expansion of -1 in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.672 * [taylor]: Taking taylor expansion of 1.0 in k 0.672 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.672 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.672 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.672 * [taylor]: Taking taylor expansion of 0.5 in k 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.672 * [taylor]: Taking taylor expansion of k in k 0.672 * [taylor]: Taking taylor expansion of 1.0 in k 0.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.672 * [taylor]: Taking taylor expansion of -2.0 in k 0.672 * [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 (sqrt (/ -1 k)) in k 0.673 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.673 * [taylor]: Taking taylor expansion of -1 in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.675 * [taylor]: Taking taylor expansion of +nan.0 in n 0.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.675 * [taylor]: Taking taylor expansion of 0.5 in n 0.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.675 * [taylor]: Taking taylor expansion of k in n 0.675 * [taylor]: Taking taylor expansion of 1.0 in n 0.675 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.675 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.675 * [taylor]: Taking taylor expansion of -2.0 in n 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.684 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.684 * [taylor]: Taking taylor expansion of +nan.0 in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of -2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.702 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.702 * [taylor]: Taking taylor expansion of +nan.0 in n 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of -2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.711 * * * [progress]: simplifying candidates 0.714 * [simplify]: Simplifying using # : (* (+ (+ (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)) (* (* 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 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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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (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))) (- (- (+ (+ (* (* 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)))))) (* (* 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))) (+ (- (* +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)))) 0.808 * * * [progress]: adding candidates to table 1.211 * * [progress]: iteration 2 / 4 1.211 * * * [progress]: picking best candidate 1.237 * * * * [pick]: Picked # 1.237 * * * [progress]: localizing error 1.252 * * * [progress]: generating rewritten candidates 1.252 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.257 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.276 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.286 * * * [progress]: generating series expansions 1.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.286 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.286 * [taylor]: Taking taylor expansion of 0.5 in k 1.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.286 * [taylor]: Taking taylor expansion of 1.0 in k 1.286 * [taylor]: Taking taylor expansion of k in k 1.286 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.287 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.287 * [taylor]: Taking taylor expansion of 2.0 in k 1.287 * [taylor]: Taking taylor expansion of PI in k 1.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.295 * [taylor]: Taking taylor expansion of 0.5 in k 1.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.295 * [taylor]: Taking taylor expansion of 1.0 in k 1.295 * [taylor]: Taking taylor expansion of k in k 1.295 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.295 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.295 * [taylor]: Taking taylor expansion of 2.0 in k 1.295 * [taylor]: Taking taylor expansion of PI in k 1.342 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.342 * [taylor]: Taking taylor expansion of 0.5 in k 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.342 * [taylor]: Taking taylor expansion of 1.0 in k 1.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.342 * [taylor]: Taking taylor expansion of k in k 1.343 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.343 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.343 * [taylor]: Taking taylor expansion of 2.0 in k 1.343 * [taylor]: Taking taylor expansion of PI in k 1.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.346 * [taylor]: Taking taylor expansion of 0.5 in k 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.346 * [taylor]: Taking taylor expansion of 1.0 in k 1.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.346 * [taylor]: Taking taylor expansion of k in k 1.347 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.347 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.347 * [taylor]: Taking taylor expansion of 2.0 in k 1.347 * [taylor]: Taking taylor expansion of PI in k 1.352 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.352 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.352 * [taylor]: Taking taylor expansion of 0.5 in k 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.352 * [taylor]: Taking taylor expansion of k in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.352 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.352 * [taylor]: Taking taylor expansion of 2.0 in k 1.352 * [taylor]: Taking taylor expansion of PI in k 1.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.356 * [taylor]: Taking taylor expansion of 0.5 in k 1.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.356 * [taylor]: Taking taylor expansion of k in k 1.356 * [taylor]: Taking taylor expansion of 1.0 in k 1.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.356 * [taylor]: Taking taylor expansion of 2.0 in k 1.356 * [taylor]: Taking taylor expansion of PI in k 1.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.361 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.361 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.361 * [taylor]: Taking taylor expansion of 0.5 in k 1.361 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of k in k 1.361 * [taylor]: Taking taylor expansion of (log n) in k 1.361 * [taylor]: Taking taylor expansion of n in k 1.362 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.362 * [taylor]: Taking taylor expansion of 0.5 in n 1.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.362 * [taylor]: Taking taylor expansion of 1.0 in n 1.362 * [taylor]: Taking taylor expansion of k in n 1.362 * [taylor]: Taking taylor expansion of (log n) in n 1.362 * [taylor]: Taking taylor expansion of n in n 1.363 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.363 * [taylor]: Taking taylor expansion of 0.5 in n 1.363 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.363 * [taylor]: Taking taylor expansion of 1.0 in n 1.363 * [taylor]: Taking taylor expansion of k in n 1.363 * [taylor]: Taking taylor expansion of (log n) in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.364 * [taylor]: Taking taylor expansion of 0.5 in k 1.364 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.364 * [taylor]: Taking taylor expansion of 1.0 in k 1.364 * [taylor]: Taking taylor expansion of k in k 1.364 * [taylor]: Taking taylor expansion of (log n) in k 1.364 * [taylor]: Taking taylor expansion of n in k 1.367 * [taylor]: Taking taylor expansion of 0 in k 1.372 * [taylor]: Taking taylor expansion of 0 in k 1.381 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.381 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.382 * [taylor]: Taking taylor expansion of 0.5 in k 1.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.382 * [taylor]: Taking taylor expansion of 1.0 in k 1.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.382 * [taylor]: Taking taylor expansion of k in k 1.382 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.382 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.382 * [taylor]: Taking taylor expansion of n in k 1.383 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.383 * [taylor]: Taking taylor expansion of 0.5 in n 1.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.383 * [taylor]: Taking taylor expansion of 1.0 in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.383 * [taylor]: Taking taylor expansion of k in n 1.383 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.384 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.384 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.384 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.384 * [taylor]: Taking taylor expansion of 0.5 in n 1.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.384 * [taylor]: Taking taylor expansion of 1.0 in n 1.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.384 * [taylor]: Taking taylor expansion of k in n 1.384 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.384 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.385 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.385 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.385 * [taylor]: Taking taylor expansion of -0.5 in k 1.385 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.385 * [taylor]: Taking taylor expansion of (log n) in k 1.385 * [taylor]: Taking taylor expansion of n in k 1.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.386 * [taylor]: Taking taylor expansion of 1.0 in k 1.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.386 * [taylor]: Taking taylor expansion of k in k 1.389 * [taylor]: Taking taylor expansion of 0 in k 1.393 * [taylor]: Taking taylor expansion of 0 in k 1.399 * [taylor]: Taking taylor expansion of 0 in k 1.400 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.400 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.400 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.400 * [taylor]: Taking taylor expansion of 0.5 in k 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.400 * [taylor]: Taking taylor expansion of k in k 1.400 * [taylor]: Taking taylor expansion of 1.0 in k 1.400 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.400 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.400 * [taylor]: Taking taylor expansion of -1 in k 1.400 * [taylor]: Taking taylor expansion of n in k 1.401 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.401 * [taylor]: Taking taylor expansion of 0.5 in n 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.401 * [taylor]: Taking taylor expansion of k in n 1.401 * [taylor]: Taking taylor expansion of 1.0 in n 1.402 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.402 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.402 * [taylor]: Taking taylor expansion of -1 in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.403 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.403 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.403 * [taylor]: Taking taylor expansion of 0.5 in n 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.403 * [taylor]: Taking taylor expansion of k in n 1.403 * [taylor]: Taking taylor expansion of 1.0 in n 1.404 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.404 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.404 * [taylor]: Taking taylor expansion of -1 in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.405 * [taylor]: Taking taylor expansion of 0.5 in k 1.405 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.405 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.405 * [taylor]: Taking taylor expansion of (log -1) in k 1.405 * [taylor]: Taking taylor expansion of -1 in k 1.406 * [taylor]: Taking taylor expansion of (log n) in k 1.406 * [taylor]: Taking taylor expansion of n in k 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.406 * [taylor]: Taking taylor expansion of k in k 1.406 * [taylor]: Taking taylor expansion of 1.0 in k 1.411 * [taylor]: Taking taylor expansion of 0 in k 1.416 * [taylor]: Taking taylor expansion of 0 in k 1.423 * [taylor]: Taking taylor expansion of 0 in k 1.423 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.424 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.424 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.424 * [taylor]: Taking taylor expansion of 1.0 in k 1.424 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.424 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.424 * [taylor]: Taking taylor expansion of k in k 1.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.425 * [taylor]: Taking taylor expansion of 0.5 in k 1.425 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of k in k 1.425 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.425 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.425 * [taylor]: Taking taylor expansion of 2.0 in k 1.425 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.430 * [taylor]: Taking taylor expansion of 1.0 in k 1.430 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.430 * [taylor]: Taking taylor expansion of k in k 1.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.431 * [taylor]: Taking taylor expansion of 0.5 in k 1.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.431 * [taylor]: Taking taylor expansion of 1.0 in k 1.431 * [taylor]: Taking taylor expansion of k in k 1.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.431 * [taylor]: Taking taylor expansion of 2.0 in k 1.431 * [taylor]: Taking taylor expansion of PI in k 1.642 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.642 * [taylor]: Taking taylor expansion of 1.0 in k 1.642 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.644 * [taylor]: Taking taylor expansion of 0.5 in k 1.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.644 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.644 * [taylor]: Taking taylor expansion of 2.0 in k 1.644 * [taylor]: Taking taylor expansion of PI in k 1.647 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.647 * [taylor]: Taking taylor expansion of 1.0 in k 1.647 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.648 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.648 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.649 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.649 * [taylor]: Taking taylor expansion of 0.5 in k 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.649 * [taylor]: Taking taylor expansion of 1.0 in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.649 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.649 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.649 * [taylor]: Taking taylor expansion of 2.0 in k 1.649 * [taylor]: Taking taylor expansion of PI in k 1.671 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.671 * [taylor]: Taking taylor expansion of 1.0 in k 1.671 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.671 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.671 * [taylor]: Taking taylor expansion of 0.5 in k 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.671 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of 1.0 in k 1.672 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.672 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.672 * [taylor]: Taking taylor expansion of 2.0 in k 1.672 * [taylor]: Taking taylor expansion of PI in k 1.675 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.675 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.675 * [taylor]: Taking taylor expansion of -1 in k 1.675 * [taylor]: Taking taylor expansion of k in k 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.677 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.677 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.677 * [taylor]: Taking taylor expansion of 0.5 in k 1.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.677 * [taylor]: Taking taylor expansion of k in k 1.677 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.677 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.677 * [taylor]: Taking taylor expansion of 2.0 in k 1.677 * [taylor]: Taking taylor expansion of PI in k 1.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.680 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.681 * [taylor]: Taking taylor expansion of -1 in k 1.681 * [taylor]: Taking taylor expansion of k in k 1.706 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.706 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.706 * [taylor]: Taking taylor expansion of 1.0 in k 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.706 * [taylor]: Taking taylor expansion of k in k 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.707 * [taylor]: Taking taylor expansion of 1.0 in k 1.707 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.707 * [taylor]: Taking taylor expansion of k in k 1.718 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.718 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.718 * [taylor]: Taking taylor expansion of 1.0 in k 1.718 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.718 * [taylor]: Taking taylor expansion of k in k 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.719 * [taylor]: Taking taylor expansion of 1.0 in k 1.719 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.719 * [taylor]: Taking taylor expansion of k in k 1.729 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.730 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.730 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.730 * [taylor]: Taking taylor expansion of -1 in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.731 * [taylor]: Taking taylor expansion of 1.0 in k 1.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.731 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.731 * [taylor]: Taking taylor expansion of -1 in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.743 * * * [progress]: simplifying candidates 1.745 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) 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(+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.754 * * [simplify]: iteration 0 : 819 enodes (cost 1327 ) 1.767 * * [simplify]: iteration 1 : 3182 enodes (cost 1246 ) 1.813 * * [simplify]: iteration 2 : 5002 enodes (cost 1236 ) 1.819 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow 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(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))) (/ 1.0 (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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +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))) 1.820 * * * [progress]: adding candidates to table 2.315 * * [progress]: iteration 3 / 4 2.315 * * * [progress]: picking best candidate 2.336 * * * * [pick]: Picked # 2.336 * * * [progress]: localizing error 2.358 * * * [progress]: generating rewritten candidates 2.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.366 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.392 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.401 * * * [progress]: generating series expansions 2.401 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.401 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.401 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.401 * [taylor]: Taking taylor expansion of 0.5 in k 2.401 * [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 PI) in k 2.402 * [taylor]: Taking taylor expansion of PI in k 2.404 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.405 * [taylor]: Taking taylor expansion of 0.5 in k 2.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.405 * [taylor]: Taking taylor expansion of 1.0 in k 2.405 * [taylor]: Taking taylor expansion of k in k 2.405 * [taylor]: Taking taylor expansion of (log PI) in k 2.405 * [taylor]: Taking taylor expansion of PI in k 2.442 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.442 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.442 * [taylor]: Taking taylor expansion of 0.5 in k 2.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.442 * [taylor]: Taking taylor expansion of 1.0 in k 2.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.442 * [taylor]: Taking taylor expansion of k in k 2.443 * [taylor]: Taking taylor expansion of (log PI) in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.444 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.445 * [taylor]: Taking taylor expansion of 0.5 in k 2.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.445 * [taylor]: Taking taylor expansion of 1.0 in k 2.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.445 * [taylor]: Taking taylor expansion of k in k 2.445 * [taylor]: Taking taylor expansion of (log PI) in k 2.445 * [taylor]: Taking taylor expansion of PI in k 2.448 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.448 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.448 * [taylor]: Taking taylor expansion of 0.5 in k 2.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.448 * [taylor]: Taking taylor expansion of k in k 2.448 * [taylor]: Taking taylor expansion of 1.0 in k 2.448 * [taylor]: Taking taylor expansion of (log PI) in k 2.448 * [taylor]: Taking taylor expansion of PI in k 2.450 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.450 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.450 * [taylor]: Taking taylor expansion of 0.5 in k 2.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.450 * [taylor]: Taking taylor expansion of k in k 2.450 * [taylor]: Taking taylor expansion of 1.0 in k 2.450 * [taylor]: Taking taylor expansion of (log PI) in k 2.450 * [taylor]: Taking taylor expansion of PI in k 2.453 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.453 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.453 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.453 * [taylor]: Taking taylor expansion of 0.5 in k 2.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.453 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [taylor]: Taking taylor expansion of k in k 2.453 * [taylor]: Taking taylor expansion of (log n) in k 2.453 * [taylor]: Taking taylor expansion of n in k 2.454 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.454 * [taylor]: Taking taylor expansion of 0.5 in n 2.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.454 * [taylor]: Taking taylor expansion of 1.0 in n 2.454 * [taylor]: Taking taylor expansion of k in n 2.454 * [taylor]: Taking taylor expansion of (log n) in n 2.454 * [taylor]: Taking taylor expansion of n in n 2.455 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.455 * [taylor]: Taking taylor expansion of 0.5 in n 2.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.455 * [taylor]: Taking taylor expansion of 1.0 in n 2.455 * [taylor]: Taking taylor expansion of k in n 2.455 * [taylor]: Taking taylor expansion of (log n) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.456 * [taylor]: Taking taylor expansion of 0.5 in k 2.456 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.456 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.456 * [taylor]: Taking taylor expansion of 1.0 in k 2.456 * [taylor]: Taking taylor expansion of k in k 2.456 * [taylor]: Taking taylor expansion of (log n) in k 2.456 * [taylor]: Taking taylor expansion of n in k 2.459 * [taylor]: Taking taylor expansion of 0 in k 2.464 * [taylor]: Taking taylor expansion of 0 in k 2.468 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.468 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.468 * [taylor]: Taking taylor expansion of 0.5 in k 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.469 * [taylor]: Taking taylor expansion of 1.0 in k 2.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.469 * [taylor]: Taking taylor expansion of k in k 2.469 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.469 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.469 * [taylor]: Taking taylor expansion of n in k 2.470 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.470 * [taylor]: Taking taylor expansion of 0.5 in n 2.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.470 * [taylor]: Taking taylor expansion of k in n 2.470 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.470 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.471 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.471 * [taylor]: Taking taylor expansion of 0.5 in n 2.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.471 * [taylor]: Taking taylor expansion of 1.0 in n 2.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.471 * [taylor]: Taking taylor expansion of k in n 2.471 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.471 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.473 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.473 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.473 * [taylor]: Taking taylor expansion of -0.5 in k 2.473 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.473 * [taylor]: Taking taylor expansion of (log n) in k 2.473 * [taylor]: Taking taylor expansion of n in k 2.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.477 * [taylor]: Taking taylor expansion of 0 in k 2.481 * [taylor]: Taking taylor expansion of 0 in k 2.487 * [taylor]: Taking taylor expansion of 0 in k 2.488 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.488 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.488 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.488 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.488 * [taylor]: Taking taylor expansion of 0.5 in k 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.488 * [taylor]: Taking taylor expansion of k in k 2.488 * [taylor]: Taking taylor expansion of 1.0 in k 2.488 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.488 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.488 * [taylor]: Taking taylor expansion of -1 in k 2.488 * [taylor]: Taking taylor expansion of n in k 2.489 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.489 * [taylor]: Taking taylor expansion of 0.5 in n 2.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.489 * [taylor]: Taking taylor expansion of k in n 2.489 * [taylor]: Taking taylor expansion of 1.0 in n 2.489 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.489 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.489 * [taylor]: Taking taylor expansion of -1 in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.491 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.491 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.491 * [taylor]: Taking taylor expansion of 0.5 in n 2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.491 * [taylor]: Taking taylor expansion of k in n 2.491 * [taylor]: Taking taylor expansion of 1.0 in n 2.491 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.491 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.491 * [taylor]: Taking taylor expansion of -1 in n 2.491 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.493 * [taylor]: Taking taylor expansion of 0.5 in k 2.493 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.493 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.493 * [taylor]: Taking taylor expansion of (log -1) in k 2.493 * [taylor]: Taking taylor expansion of -1 in k 2.493 * [taylor]: Taking taylor expansion of (log n) in k 2.493 * [taylor]: Taking taylor expansion of n in k 2.493 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.493 * [taylor]: Taking taylor expansion of k in k 2.494 * [taylor]: Taking taylor expansion of 1.0 in k 2.499 * [taylor]: Taking taylor expansion of 0 in k 2.504 * [taylor]: Taking taylor expansion of 0 in k 2.510 * [taylor]: Taking taylor expansion of 0 in k 2.511 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.511 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 2.511 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.511 * [taylor]: Taking taylor expansion of 1.0 in k 2.511 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.511 * [taylor]: Taking taylor expansion of k in k 2.512 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.512 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.512 * [taylor]: Taking taylor expansion of 0.5 in k 2.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.513 * [taylor]: Taking taylor expansion of 1.0 in k 2.513 * [taylor]: Taking taylor expansion of k in k 2.513 * [taylor]: Taking taylor expansion of (log PI) in k 2.513 * [taylor]: Taking taylor expansion of PI in k 2.515 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.515 * [taylor]: Taking taylor expansion of 0.5 in k 2.515 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.515 * [taylor]: Taking taylor expansion of 1.0 in k 2.515 * [taylor]: Taking taylor expansion of k in k 2.515 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.515 * [taylor]: Taking taylor expansion of 2.0 in k 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.518 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.518 * [taylor]: Taking taylor expansion of k in k 2.519 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.519 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.519 * [taylor]: Taking taylor expansion of 0.5 in k 2.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.519 * [taylor]: Taking taylor expansion of 1.0 in k 2.519 * [taylor]: Taking taylor expansion of k in k 2.519 * [taylor]: Taking taylor expansion of (log PI) in k 2.519 * [taylor]: Taking taylor expansion of PI in k 2.527 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.527 * [taylor]: Taking taylor expansion of 0.5 in k 2.527 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.527 * [taylor]: Taking taylor expansion of 1.0 in k 2.527 * [taylor]: Taking taylor expansion of k in k 2.527 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.527 * [taylor]: Taking taylor expansion of 2.0 in k 3.002 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 3.002 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.002 * [taylor]: Taking taylor expansion of 1.0 in k 3.002 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.002 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.002 * [taylor]: Taking taylor expansion of k in k 3.004 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.004 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.004 * [taylor]: Taking taylor expansion of 0.5 in k 3.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.004 * [taylor]: Taking taylor expansion of 1.0 in k 3.004 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.004 * [taylor]: Taking taylor expansion of k in k 3.004 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.004 * [taylor]: Taking taylor expansion of 2.0 in k 3.006 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.006 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.006 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.006 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.006 * [taylor]: Taking taylor expansion of 0.5 in k 3.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.006 * [taylor]: Taking taylor expansion of 1.0 in k 3.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.006 * [taylor]: Taking taylor expansion of k in k 3.007 * [taylor]: Taking taylor expansion of (log PI) in k 3.007 * [taylor]: Taking taylor expansion of PI in k 3.009 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.009 * [taylor]: Taking taylor expansion of 1.0 in k 3.009 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.009 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.009 * [taylor]: Taking taylor expansion of k in k 3.010 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.010 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.010 * [taylor]: Taking taylor expansion of 0.5 in k 3.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.010 * [taylor]: Taking taylor expansion of 1.0 in k 3.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.010 * [taylor]: Taking taylor expansion of k in k 3.010 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.010 * [taylor]: Taking taylor expansion of 2.0 in k 3.012 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.012 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.012 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.012 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.012 * [taylor]: Taking taylor expansion of 0.5 in k 3.012 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.012 * [taylor]: Taking taylor expansion of 1.0 in k 3.012 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.012 * [taylor]: Taking taylor expansion of k in k 3.013 * [taylor]: Taking taylor expansion of (log PI) in k 3.013 * [taylor]: Taking taylor expansion of PI in k 3.036 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 3.036 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.036 * [taylor]: Taking taylor expansion of 1.0 in k 3.036 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.036 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.036 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.036 * [taylor]: Taking taylor expansion of 0.5 in k 3.036 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.036 * [taylor]: Taking taylor expansion of k in k 3.037 * [taylor]: Taking taylor expansion of 1.0 in k 3.037 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.037 * [taylor]: Taking taylor expansion of 2.0 in k 3.038 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.038 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.038 * [taylor]: Taking taylor expansion of 0.5 in k 3.038 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.039 * [taylor]: Taking taylor expansion of k in k 3.039 * [taylor]: Taking taylor expansion of 1.0 in k 3.039 * [taylor]: Taking taylor expansion of (log PI) in k 3.039 * [taylor]: Taking taylor expansion of PI in k 3.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.040 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.041 * [taylor]: Taking taylor expansion of -1 in k 3.041 * [taylor]: Taking taylor expansion of k in k 3.043 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.043 * [taylor]: Taking taylor expansion of 1.0 in k 3.043 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.043 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.043 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.043 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.043 * [taylor]: Taking taylor expansion of 0.5 in k 3.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.043 * [taylor]: Taking taylor expansion of k in k 3.044 * [taylor]: Taking taylor expansion of 1.0 in k 3.044 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.044 * [taylor]: Taking taylor expansion of 2.0 in k 3.045 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.045 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.045 * [taylor]: Taking taylor expansion of 0.5 in k 3.045 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.045 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.045 * [taylor]: Taking taylor expansion of k in k 3.046 * [taylor]: Taking taylor expansion of 1.0 in k 3.046 * [taylor]: Taking taylor expansion of (log PI) in k 3.046 * [taylor]: Taking taylor expansion of PI in k 3.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.048 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.048 * [taylor]: Taking taylor expansion of -1 in k 3.048 * [taylor]: Taking taylor expansion of k in k 3.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.069 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.069 * [taylor]: Taking taylor expansion of 1.0 in k 3.069 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.069 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.069 * [taylor]: Taking taylor expansion of k in k 3.070 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.070 * [taylor]: Taking taylor expansion of 1.0 in k 3.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.071 * [taylor]: Taking taylor expansion of k in k 3.087 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.087 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.088 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.088 * [taylor]: Taking taylor expansion of 1.0 in k 3.088 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.088 * [taylor]: Taking taylor expansion of k in k 3.098 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.098 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.098 * [taylor]: Taking taylor expansion of 1.0 in k 3.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.098 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.098 * [taylor]: Taking taylor expansion of -1 in k 3.099 * [taylor]: Taking taylor expansion of k in k 3.100 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.100 * [taylor]: Taking taylor expansion of 1.0 in k 3.100 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.100 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.100 * [taylor]: Taking taylor expansion of -1 in k 3.100 * [taylor]: Taking taylor expansion of k in k 3.112 * * * [progress]: simplifying candidates 3.114 * [simplify]: Simplifying using # : (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 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2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (/ (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (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)) 1)) (/ (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)) (/ 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) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))) (+ (* +nan.0 (+ (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (- (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 3)))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2))) (+ (* +nan.0 (+ (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (- (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2)))) (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))))) (+ (- (* +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))) 3.211 * * * [progress]: adding candidates to table 3.757 * * [progress]: iteration 4 / 4 3.757 * * * [progress]: picking best candidate 3.780 * * * * [pick]: Picked # 3.780 * * * [progress]: localizing error 3.800 * * * [progress]: generating rewritten candidates 3.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.804 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.915 * * * [progress]: generating series expansions 3.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.916 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.916 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.916 * [taylor]: Taking taylor expansion of 0.5 in k 3.916 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.916 * [taylor]: Taking taylor expansion of 1.0 in k 3.916 * [taylor]: Taking taylor expansion of k in k 3.916 * [taylor]: Taking taylor expansion of (log n) in k 3.916 * [taylor]: Taking taylor expansion of n in k 3.917 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.917 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.917 * [taylor]: Taking taylor expansion of 0.5 in n 3.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.917 * [taylor]: Taking taylor expansion of 1.0 in n 3.917 * [taylor]: Taking taylor expansion of k in n 3.917 * [taylor]: Taking taylor expansion of (log n) in n 3.917 * [taylor]: Taking taylor expansion of n in n 3.918 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.918 * [taylor]: Taking taylor expansion of 0.5 in n 3.918 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [taylor]: Taking taylor expansion of k in n 3.918 * [taylor]: Taking taylor expansion of (log n) in n 3.918 * [taylor]: Taking taylor expansion of n in n 3.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.919 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.919 * [taylor]: Taking taylor expansion of 0.5 in k 3.919 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.919 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.919 * [taylor]: Taking taylor expansion of 1.0 in k 3.919 * [taylor]: Taking taylor expansion of k in k 3.919 * [taylor]: Taking taylor expansion of (log n) in k 3.919 * [taylor]: Taking taylor expansion of n in k 3.922 * [taylor]: Taking taylor expansion of 0 in k 3.928 * [taylor]: Taking taylor expansion of 0 in k 3.932 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.932 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.932 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.932 * [taylor]: Taking taylor expansion of 0.5 in k 3.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.932 * [taylor]: Taking taylor expansion of 1.0 in k 3.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.932 * [taylor]: Taking taylor expansion of k in k 3.932 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.932 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.933 * [taylor]: Taking taylor expansion of n in k 3.933 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.934 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.934 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.934 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.934 * [taylor]: Taking taylor expansion of 0.5 in n 3.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.934 * [taylor]: Taking taylor expansion of 1.0 in n 3.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.934 * [taylor]: Taking taylor expansion of k in n 3.934 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.934 * [taylor]: Taking taylor expansion of n in n 3.935 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.935 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.935 * [taylor]: Taking taylor expansion of 0.5 in n 3.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.935 * [taylor]: Taking taylor expansion of 1.0 in n 3.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.935 * [taylor]: Taking taylor expansion of k in n 3.935 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.935 * [taylor]: Taking taylor expansion of n in n 3.936 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.936 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.936 * [taylor]: Taking taylor expansion of -0.5 in k 3.936 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.936 * [taylor]: Taking taylor expansion of (log n) in k 3.936 * [taylor]: Taking taylor expansion of n in k 3.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.936 * [taylor]: Taking taylor expansion of 1.0 in k 3.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.936 * [taylor]: Taking taylor expansion of k in k 3.940 * [taylor]: Taking taylor expansion of 0 in k 3.944 * [taylor]: Taking taylor expansion of 0 in k 3.950 * [taylor]: Taking taylor expansion of 0 in k 3.951 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.951 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.951 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.951 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.951 * [taylor]: Taking taylor expansion of 0.5 in k 3.951 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.951 * [taylor]: Taking taylor expansion of k in k 3.951 * [taylor]: Taking taylor expansion of 1.0 in k 3.951 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.951 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.951 * [taylor]: Taking taylor expansion of -1 in k 3.951 * [taylor]: Taking taylor expansion of n in k 3.952 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.952 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.952 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.952 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.952 * [taylor]: Taking taylor expansion of 0.5 in n 3.952 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.952 * [taylor]: Taking taylor expansion of k in n 3.952 * [taylor]: Taking taylor expansion of 1.0 in n 3.952 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.952 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.952 * [taylor]: Taking taylor expansion of -1 in n 3.952 * [taylor]: Taking taylor expansion of n in n 3.954 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.954 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.954 * [taylor]: Taking taylor expansion of 0.5 in n 3.954 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.954 * [taylor]: Taking taylor expansion of k in n 3.954 * [taylor]: Taking taylor expansion of 1.0 in n 3.954 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.954 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.954 * [taylor]: Taking taylor expansion of -1 in n 3.954 * [taylor]: Taking taylor expansion of n in n 3.956 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.956 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.956 * [taylor]: Taking taylor expansion of 0.5 in k 3.956 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.956 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.956 * [taylor]: Taking taylor expansion of (log -1) in k 3.956 * [taylor]: Taking taylor expansion of -1 in k 3.956 * [taylor]: Taking taylor expansion of (log n) in k 3.956 * [taylor]: Taking taylor expansion of n in k 3.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.957 * [taylor]: Taking taylor expansion of k in k 3.957 * [taylor]: Taking taylor expansion of 1.0 in k 3.962 * [taylor]: Taking taylor expansion of 0 in k 3.967 * [taylor]: Taking taylor expansion of 0 in k 3.974 * [taylor]: Taking taylor expansion of 0 in k 3.974 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.975 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 3.975 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 3.975 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.975 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.975 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.975 * [taylor]: Taking taylor expansion of 1/4 in k 3.975 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.975 * [taylor]: Taking taylor expansion of k in k 3.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.976 * [taylor]: Taking taylor expansion of 1.0 in k 3.976 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 3.976 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.976 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.976 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.976 * [taylor]: Taking taylor expansion of 1/4 in k 3.976 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.976 * [taylor]: Taking taylor expansion of k in k 3.977 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 4.042 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 4.042 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.042 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.042 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.042 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.042 * [taylor]: Taking taylor expansion of 1/4 in k 4.042 * [taylor]: Taking taylor expansion of (log k) in k 4.042 * [taylor]: Taking taylor expansion of k in k 4.043 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.043 * [taylor]: Taking taylor expansion of 1.0 in k 4.044 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.044 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.044 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.044 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.044 * [taylor]: Taking taylor expansion of 1/4 in k 4.044 * [taylor]: Taking taylor expansion of (log k) in k 4.044 * [taylor]: Taking taylor expansion of k in k 4.044 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.044 * [taylor]: Taking taylor expansion of 1.0 in k 4.107 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 4.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.107 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.107 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.107 * [taylor]: Taking taylor expansion of -1 in k 4.107 * [taylor]: Taking taylor expansion of k in k 4.114 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.114 * [taylor]: Taking taylor expansion of 1.0 in k 4.114 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.114 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.114 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.114 * [taylor]: Taking taylor expansion of -1 in k 4.114 * [taylor]: Taking taylor expansion of k in k 4.121 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.166 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.166 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 4.166 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.166 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.166 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.166 * [taylor]: Taking taylor expansion of 1/4 in k 4.166 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.166 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.166 * [taylor]: Taking taylor expansion of k in k 4.167 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.167 * [taylor]: Taking taylor expansion of 1.0 in k 4.168 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.168 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.168 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.168 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.168 * [taylor]: Taking taylor expansion of 1/4 in k 4.168 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.168 * [taylor]: Taking taylor expansion of k in k 4.169 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.169 * [taylor]: Taking taylor expansion of 1.0 in k 4.228 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 4.228 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.228 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.228 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.228 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.228 * [taylor]: Taking taylor expansion of 1/4 in k 4.228 * [taylor]: Taking taylor expansion of (log k) in k 4.228 * [taylor]: Taking taylor expansion of k in k 4.228 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.228 * [taylor]: Taking taylor expansion of 1.0 in k 4.229 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.229 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.229 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.229 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.229 * [taylor]: Taking taylor expansion of 1/4 in k 4.229 * [taylor]: Taking taylor expansion of (log k) in k 4.229 * [taylor]: Taking taylor expansion of k in k 4.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.230 * [taylor]: Taking taylor expansion of 1.0 in k 4.292 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 4.292 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.292 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.292 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.292 * [taylor]: Taking taylor expansion of -1 in k 4.292 * [taylor]: Taking taylor expansion of k in k 4.298 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.298 * [taylor]: Taking taylor expansion of 1.0 in k 4.299 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.299 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.299 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.299 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.299 * [taylor]: Taking taylor expansion of -1 in k 4.299 * [taylor]: Taking taylor expansion of k in k 4.306 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.306 * [taylor]: Taking taylor expansion of 1.0 in k 4.351 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.352 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in (k) around 0 4.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 4.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.352 * [taylor]: Taking taylor expansion of k in k 4.353 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 4.353 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.354 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.354 * [taylor]: Taking taylor expansion of 1.0 in k 4.354 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 4.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 4.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.354 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 4.354 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 4.354 * [taylor]: Taking taylor expansion of 0.25 in k 4.354 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.354 * [taylor]: Taking taylor expansion of 1.0 in k 4.354 * [taylor]: Taking taylor expansion of k in k 4.354 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.354 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.354 * [taylor]: Taking taylor expansion of 2.0 in k 4.354 * [taylor]: Taking taylor expansion of PI in k 4.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 4.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.359 * [taylor]: Taking taylor expansion of k in k 4.360 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 4.360 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.360 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.360 * [taylor]: Taking taylor expansion of 1.0 in k 4.361 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 4.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 4.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.361 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 4.361 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 4.361 * [taylor]: Taking taylor expansion of 0.25 in k 4.361 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.361 * [taylor]: Taking taylor expansion of 1.0 in k 4.361 * [taylor]: Taking taylor expansion of k in k 4.361 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.361 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.361 * [taylor]: Taking taylor expansion of 2.0 in k 4.361 * [taylor]: Taking taylor expansion of PI in k 4.714 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in (k) around 0 4.714 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 4.714 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.714 * [taylor]: Taking taylor expansion of k in k 4.715 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 4.715 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.715 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.715 * [taylor]: Taking taylor expansion of 1.0 in k 4.716 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 4.716 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 4.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.716 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.716 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 4.716 * [taylor]: Taking taylor expansion of 0.25 in k 4.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.716 * [taylor]: Taking taylor expansion of 1.0 in k 4.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.716 * [taylor]: Taking taylor expansion of k in k 4.716 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.716 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.716 * [taylor]: Taking taylor expansion of 2.0 in k 4.716 * [taylor]: Taking taylor expansion of PI in k 4.720 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 4.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.720 * [taylor]: Taking taylor expansion of k in k 4.721 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 4.721 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.721 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.721 * [taylor]: Taking taylor expansion of 1.0 in k 4.721 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 4.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 4.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.722 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.722 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 4.722 * [taylor]: Taking taylor expansion of 0.25 in k 4.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.722 * [taylor]: Taking taylor expansion of 1.0 in k 4.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.722 * [taylor]: Taking taylor expansion of k in k 4.722 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.722 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.722 * [taylor]: Taking taylor expansion of 2.0 in k 4.722 * [taylor]: Taking taylor expansion of PI in k 4.770 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in (k) around 0 4.770 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 4.770 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 4.770 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.770 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.770 * [taylor]: Taking taylor expansion of 1.0 in k 4.771 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 4.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 4.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.771 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.771 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 4.771 * [taylor]: Taking taylor expansion of 0.25 in k 4.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.771 * [taylor]: Taking taylor expansion of k in k 4.771 * [taylor]: Taking taylor expansion of 1.0 in k 4.771 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.771 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.771 * [taylor]: Taking taylor expansion of 2.0 in k 4.771 * [taylor]: Taking taylor expansion of PI in k 4.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.774 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.774 * [taylor]: Taking taylor expansion of -1 in k 4.774 * [taylor]: Taking taylor expansion of k in k 4.780 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 4.780 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 4.780 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.780 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.780 * [taylor]: Taking taylor expansion of 1.0 in k 4.781 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 4.781 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 4.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.781 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.781 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 4.781 * [taylor]: Taking taylor expansion of 0.25 in k 4.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.781 * [taylor]: Taking taylor expansion of k in k 4.782 * [taylor]: Taking taylor expansion of 1.0 in k 4.782 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.782 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.782 * [taylor]: Taking taylor expansion of 2.0 in k 4.782 * [taylor]: Taking taylor expansion of PI in k 4.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.785 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.785 * [taylor]: Taking taylor expansion of -1 in k 4.785 * [taylor]: Taking taylor expansion of k in k 4.825 * * * [progress]: simplifying candidates 4.831 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ 1.0 (sqrt k)) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (sqrt 1.0)) (- (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 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PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (* 2 (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (pow (exp (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1.0 (sqrt k))) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (* (cbrt (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))))) (cbrt (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))))) (pow (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (sqrt k))) 3) (fabs (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (fabs (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt 1.0) (* (sqrt 1.0) (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))))) (* (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2))) (sqrt k)) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2)))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 1.0)) (* (sqrt k) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2)))) (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2)))) (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 1.0)) (* (sqrt k) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k) (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 2 (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)))) (/ (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt (sqrt k))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)))) (/ (* (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt (sqrt k))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (+ (+ (- (* (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) 1.0) (* (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) 1.0)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (+ (- (* (* (pow k 2) (* 1.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0) (* (* k (* 1.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) +nan.0)) (* (* +nan.0 (* (* k (log (* 2.0 PI))) 1.0)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (* (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) 1.0))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* +nan.0 (- (/ 1.0 (/ (pow k 3) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ (pow k 2) 1.0)))) (* (- +nan.0) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ k 1.0)))) (+ (* (- +nan.0) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ (pow k 2) 1.0))) (- (/ (* (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 1.0) k) (* (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 1.0))) 4.937 * * * [progress]: adding candidates to table 5.635 * [progress]: [Phase 3 of 3] Extracting. 5.635 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.639 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.639 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.678 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 5.698 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.736 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.774 * * * [regime]: Found split indices: #