29.988 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.095 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.096 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.098 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.101 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.107 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.129 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.130 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.130 * * [progress]: iteration 1 / 4 0.130 * * * [progress]: picking best candidate 0.132 * * * * [pick]: Picked # 0.132 * * * [progress]: localizing error 0.145 * * * [progress]: generating rewritten candidates 0.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.188 * * * [progress]: generating series expansions 0.188 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.189 * [taylor]: Taking taylor expansion of 0.5 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 (* n PI))) in k 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.189 * [taylor]: Taking taylor expansion of 2.0 in k 0.189 * [taylor]: Taking taylor expansion of (* n PI) in k 0.189 * [taylor]: Taking taylor expansion of n in k 0.189 * [taylor]: Taking taylor expansion of PI in k 0.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.190 * [taylor]: Taking taylor expansion of 0.5 in n 0.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.190 * [taylor]: Taking taylor expansion of 1.0 in n 0.190 * [taylor]: Taking taylor expansion of k in n 0.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.190 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.190 * [taylor]: Taking taylor expansion of 2.0 in n 0.190 * [taylor]: Taking taylor expansion of (* n PI) in n 0.190 * [taylor]: Taking taylor expansion of n in n 0.191 * [taylor]: Taking taylor expansion of PI in n 0.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.196 * [taylor]: Taking taylor expansion of 0.5 in n 0.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.196 * [taylor]: Taking taylor expansion of 1.0 in n 0.196 * [taylor]: Taking taylor expansion of k in n 0.196 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.196 * [taylor]: Taking taylor expansion of 2.0 in n 0.196 * [taylor]: Taking taylor expansion of (* n PI) in n 0.196 * [taylor]: Taking taylor expansion of n in n 0.196 * [taylor]: Taking taylor expansion of PI in n 0.202 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.202 * [taylor]: Taking taylor expansion of 0.5 in k 0.202 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.202 * [taylor]: Taking taylor expansion of 1.0 in k 0.202 * [taylor]: Taking taylor expansion of k in k 0.202 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.202 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.202 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.202 * [taylor]: Taking taylor expansion of 2.0 in k 0.202 * [taylor]: Taking taylor expansion of PI in k 0.203 * [taylor]: Taking taylor expansion of (log n) in k 0.203 * [taylor]: Taking taylor expansion of n in k 0.212 * [taylor]: Taking taylor expansion of 0 in k 0.227 * [taylor]: Taking taylor expansion of 0 in k 0.246 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.246 * [taylor]: Taking taylor expansion of 0.5 in k 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.246 * [taylor]: Taking taylor expansion of 1.0 in k 0.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.246 * [taylor]: Taking taylor expansion of k in k 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.247 * [taylor]: Taking taylor expansion of 2.0 in k 0.247 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.247 * [taylor]: Taking taylor expansion of PI in k 0.247 * [taylor]: Taking taylor expansion of n in k 0.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.248 * [taylor]: Taking taylor expansion of 0.5 in n 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.257 * [taylor]: Taking taylor expansion of 0.5 in n 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.257 * [taylor]: Taking taylor expansion of 1.0 in n 0.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.257 * [taylor]: Taking taylor expansion of k in n 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.257 * [taylor]: Taking taylor expansion of 2.0 in n 0.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.257 * [taylor]: Taking taylor expansion of PI in n 0.257 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.261 * [taylor]: Taking taylor expansion of 0.5 in k 0.261 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.261 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.261 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.261 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.261 * [taylor]: Taking taylor expansion of 2.0 in k 0.261 * [taylor]: Taking taylor expansion of PI in k 0.262 * [taylor]: Taking taylor expansion of (log n) in k 0.262 * [taylor]: Taking taylor expansion of n in k 0.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.272 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [taylor]: Taking taylor expansion of 0 in k 0.287 * [taylor]: Taking taylor expansion of 0 in k 0.289 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.289 * [taylor]: Taking taylor expansion of -2.0 in k 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.289 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.294 * [taylor]: Taking taylor expansion of 0.5 in n 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.294 * [taylor]: Taking taylor expansion of k in n 0.294 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.294 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.294 * [taylor]: Taking taylor expansion of -2.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.294 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.298 * [taylor]: Taking taylor expansion of 1.0 in k 0.298 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.298 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.298 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.298 * [taylor]: Taking taylor expansion of -2.0 in k 0.298 * [taylor]: Taking taylor expansion of PI in k 0.299 * [taylor]: Taking taylor expansion of (log n) in k 0.299 * [taylor]: Taking taylor expansion of n in k 0.308 * [taylor]: Taking taylor expansion of 0 in k 0.316 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [taylor]: Taking taylor expansion of 0 in k 0.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.325 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.325 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.341 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.343 * [taylor]: Taking taylor expansion of 1.0 in k 0.343 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.343 * [taylor]: Taking taylor expansion of k in k 0.353 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.353 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.353 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.353 * [taylor]: Taking taylor expansion of -1 in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.355 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.355 * [taylor]: Taking taylor expansion of -1 in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.368 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.380 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.389 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.389 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.389 * [taylor]: Taking taylor expansion of -2.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.390 * [taylor]: Taking taylor expansion of -2.0 in n 0.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.398 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.400 * [taylor]: Taking taylor expansion of 2.0 in n 0.400 * [taylor]: Taking taylor expansion of (* n PI) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.400 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.405 * [taylor]: Taking taylor expansion of 1.0 in k 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.405 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.406 * [taylor]: Taking taylor expansion of 0.5 in k 0.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.406 * [taylor]: Taking taylor expansion of 2.0 in k 0.406 * [taylor]: Taking taylor expansion of (* n PI) in k 0.406 * [taylor]: Taking taylor expansion of n in k 0.406 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.409 * [taylor]: Taking taylor expansion of 0.5 in k 0.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.409 * [taylor]: Taking taylor expansion of 2.0 in k 0.409 * [taylor]: Taking taylor expansion of (* n PI) in k 0.409 * [taylor]: Taking taylor expansion of n in k 0.409 * [taylor]: Taking taylor expansion of PI in k 0.410 * [taylor]: Taking taylor expansion of 0 in n 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of +nan.0 in n 0.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.416 * [taylor]: Taking taylor expansion of 0.5 in n 0.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (log PI) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (log n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.419 * [taylor]: Taking taylor expansion of 1.0 in n 0.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.419 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [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 0.441 * [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 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of +nan.0 in n 0.441 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.442 * [taylor]: Taking taylor expansion of 0.5 in n 0.442 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.442 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.442 * [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) (pow 2.0 1.0)) 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 0.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.444 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [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 0.450 * [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 0.450 * [taylor]: Taking taylor expansion of +nan.0 in n 0.450 * [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 0.450 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.450 * [taylor]: Taking taylor expansion of 0.5 in n 0.450 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.450 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.450 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.450 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.452 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log PI) in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.454 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log n) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (* n PI) in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.510 * [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 0.510 * [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 0.510 * [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 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 n 1.0) (pow PI 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log n) in n 0.513 * [taylor]: Taking taylor expansion of n 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 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.519 * [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 0.519 * [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 0.519 * [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 0.519 * [taylor]: Taking taylor expansion of +nan.0 in n 0.519 * [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 0.519 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.519 * [taylor]: Taking taylor expansion of 0.5 in n 0.519 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.519 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.519 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.521 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log PI) in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (* n PI) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of PI in n 0.530 * [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 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.530 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log PI) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.538 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.615 * [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 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.616 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.616 * [taylor]: Taking taylor expansion of 0.5 in n 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.620 * [taylor]: Taking taylor expansion of 1.0 in k 0.620 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.620 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.621 * [taylor]: Taking taylor expansion of 0.5 in k 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.621 * [taylor]: Taking taylor expansion of 1.0 in k 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.621 * [taylor]: Taking taylor expansion of k in k 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.621 * [taylor]: Taking taylor expansion of 2.0 in k 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.621 * [taylor]: Taking taylor expansion of PI in k 0.621 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.623 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.623 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.623 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.626 * [taylor]: Taking taylor expansion of 0 in n 0.626 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.626 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.626 * [taylor]: Taking taylor expansion of +nan.0 in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.627 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.636 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.636 * [taylor]: Taking taylor expansion of +nan.0 in n 0.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.636 * [taylor]: Taking taylor expansion of 2.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.636 * [taylor]: Taking taylor expansion of PI in n 0.636 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.638 * [taylor]: Taking taylor expansion of k in n 0.654 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.654 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.654 * [taylor]: Taking taylor expansion of +nan.0 in n 0.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.654 * [taylor]: Taking taylor expansion of 0.5 in n 0.654 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.654 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.665 * [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 0.665 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.665 * [taylor]: Taking taylor expansion of 1.0 in n 0.665 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.665 * [taylor]: Taking taylor expansion of 0.5 in n 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.665 * [taylor]: Taking taylor expansion of k in n 0.665 * [taylor]: Taking taylor expansion of 1.0 in n 0.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.665 * [taylor]: Taking taylor expansion of -2.0 in n 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.665 * [taylor]: Taking taylor expansion of PI in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.669 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.669 * [taylor]: Taking taylor expansion of -1 in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.670 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.670 * [taylor]: Taking taylor expansion of 1.0 in k 0.670 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.670 * [taylor]: Taking taylor expansion of 0.5 in k 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.670 * [taylor]: Taking taylor expansion of 1.0 in k 0.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.670 * [taylor]: Taking taylor expansion of -2.0 in k 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.670 * [taylor]: Taking taylor expansion of PI in k 0.670 * [taylor]: Taking taylor expansion of n in k 0.671 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.671 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.671 * [taylor]: Taking taylor expansion of -1 in k 0.671 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.673 * [taylor]: Taking taylor expansion of 0.5 in k 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.673 * [taylor]: Taking taylor expansion of -2.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.674 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.674 * [taylor]: Taking taylor expansion of -1 in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.676 * [taylor]: Taking taylor expansion of +nan.0 in n 0.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.676 * [taylor]: Taking taylor expansion of -2.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.676 * [taylor]: Taking taylor expansion of PI in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.688 * [taylor]: Taking taylor expansion of +nan.0 in n 0.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of 0.5 in n 0.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.689 * [taylor]: Taking taylor expansion of -2.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.689 * [taylor]: Taking taylor expansion of PI in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.706 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.706 * [taylor]: Taking taylor expansion of +nan.0 in n 0.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.706 * [taylor]: Taking taylor expansion of 0.5 in n 0.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.706 * [taylor]: Taking taylor expansion of -2.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.716 * * * [progress]: simplifying candidates 0.718 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (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))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.820 * * * [progress]: adding candidates to table 1.254 * * [progress]: iteration 2 / 4 1.254 * * * [progress]: picking best candidate 1.285 * * * * [pick]: Picked # 1.285 * * * [progress]: localizing error 1.301 * * * [progress]: generating rewritten candidates 1.301 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.305 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.310 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.327 * * * [progress]: generating series expansions 1.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.327 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.327 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.327 * [taylor]: Taking taylor expansion of 0.5 in k 1.327 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.327 * [taylor]: Taking taylor expansion of 1.0 in k 1.327 * [taylor]: Taking taylor expansion of k in k 1.327 * [taylor]: Taking taylor expansion of (log n) in k 1.327 * [taylor]: Taking taylor expansion of n in k 1.329 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.329 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.329 * [taylor]: Taking taylor expansion of 0.5 in n 1.329 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.329 * [taylor]: Taking taylor expansion of 1.0 in n 1.329 * [taylor]: Taking taylor expansion of k in n 1.329 * [taylor]: Taking taylor expansion of (log n) in n 1.329 * [taylor]: Taking taylor expansion of n in n 1.330 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.330 * [taylor]: Taking taylor expansion of 0.5 in n 1.330 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.330 * [taylor]: Taking taylor expansion of 1.0 in n 1.330 * [taylor]: Taking taylor expansion of k in n 1.330 * [taylor]: Taking taylor expansion of (log n) in n 1.330 * [taylor]: Taking taylor expansion of n in n 1.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.331 * [taylor]: Taking taylor expansion of 0.5 in k 1.331 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.331 * [taylor]: Taking taylor expansion of 1.0 in k 1.331 * [taylor]: Taking taylor expansion of k in k 1.331 * [taylor]: Taking taylor expansion of (log n) in k 1.331 * [taylor]: Taking taylor expansion of n in k 1.334 * [taylor]: Taking taylor expansion of 0 in k 1.339 * [taylor]: Taking taylor expansion of 0 in k 1.342 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.343 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.343 * [taylor]: Taking taylor expansion of 0.5 in k 1.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.343 * [taylor]: Taking taylor expansion of 1.0 in k 1.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.343 * [taylor]: Taking taylor expansion of k in k 1.343 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.343 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.343 * [taylor]: Taking taylor expansion of n in k 1.344 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.344 * [taylor]: Taking taylor expansion of 0.5 in n 1.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.344 * [taylor]: Taking taylor expansion of 1.0 in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.344 * [taylor]: Taking taylor expansion of k in n 1.344 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.345 * [taylor]: Taking taylor expansion of 0.5 in n 1.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.345 * [taylor]: Taking taylor expansion of 1.0 in n 1.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.345 * [taylor]: Taking taylor expansion of k in n 1.345 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.346 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.346 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.346 * [taylor]: Taking taylor expansion of -0.5 in k 1.346 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.346 * [taylor]: Taking taylor expansion of (log n) in k 1.347 * [taylor]: Taking taylor expansion of n in k 1.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.347 * [taylor]: Taking taylor expansion of 1.0 in k 1.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.347 * [taylor]: Taking taylor expansion of k in k 1.350 * [taylor]: Taking taylor expansion of 0 in k 1.358 * [taylor]: Taking taylor expansion of 0 in k 1.364 * [taylor]: Taking taylor expansion of 0 in k 1.364 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.364 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.364 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.364 * [taylor]: Taking taylor expansion of 0.5 in k 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.364 * [taylor]: Taking taylor expansion of k in k 1.365 * [taylor]: Taking taylor expansion of 1.0 in k 1.365 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.365 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.365 * [taylor]: Taking taylor expansion of -1 in k 1.365 * [taylor]: Taking taylor expansion of n in k 1.365 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.366 * [taylor]: Taking taylor expansion of 0.5 in n 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.366 * [taylor]: Taking taylor expansion of k in n 1.366 * [taylor]: Taking taylor expansion of 1.0 in n 1.366 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.366 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.366 * [taylor]: Taking taylor expansion of -1 in n 1.366 * [taylor]: Taking taylor expansion of n in n 1.368 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.368 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.368 * [taylor]: Taking taylor expansion of 0.5 in n 1.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.368 * [taylor]: Taking taylor expansion of k in n 1.368 * [taylor]: Taking taylor expansion of 1.0 in n 1.368 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.368 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.368 * [taylor]: Taking taylor expansion of -1 in n 1.368 * [taylor]: Taking taylor expansion of n in n 1.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.370 * [taylor]: Taking taylor expansion of 0.5 in k 1.370 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.370 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.370 * [taylor]: Taking taylor expansion of (log -1) in k 1.370 * [taylor]: Taking taylor expansion of -1 in k 1.370 * [taylor]: Taking taylor expansion of (log n) in k 1.370 * [taylor]: Taking taylor expansion of n in k 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.370 * [taylor]: Taking taylor expansion of k in k 1.370 * [taylor]: Taking taylor expansion of 1.0 in k 1.376 * [taylor]: Taking taylor expansion of 0 in k 1.380 * [taylor]: Taking taylor expansion of 0 in k 1.387 * [taylor]: Taking taylor expansion of 0 in k 1.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.388 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.388 * [taylor]: Taking taylor expansion of 0.5 in k 1.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.388 * [taylor]: Taking taylor expansion of 1.0 in k 1.388 * [taylor]: Taking taylor expansion of k in k 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.388 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.388 * [taylor]: Taking taylor expansion of 2.0 in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.393 * [taylor]: Taking taylor expansion of 0.5 in k 1.393 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.393 * [taylor]: Taking taylor expansion of 1.0 in k 1.393 * [taylor]: Taking taylor expansion of k in k 1.393 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.393 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.393 * [taylor]: Taking taylor expansion of 2.0 in k 1.393 * [taylor]: Taking taylor expansion of PI in k 1.443 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.443 * [taylor]: Taking taylor expansion of 0.5 in k 1.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.443 * [taylor]: Taking taylor expansion of 1.0 in k 1.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.443 * [taylor]: Taking taylor expansion of k in k 1.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.443 * [taylor]: Taking taylor expansion of 2.0 in k 1.443 * [taylor]: Taking taylor expansion of PI in k 1.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.447 * [taylor]: Taking taylor expansion of 0.5 in k 1.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.447 * [taylor]: Taking taylor expansion of 1.0 in k 1.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.447 * [taylor]: Taking taylor expansion of k in k 1.447 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.447 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.447 * [taylor]: Taking taylor expansion of 2.0 in k 1.447 * [taylor]: Taking taylor expansion of PI in k 1.452 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.452 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.452 * [taylor]: Taking taylor expansion of 0.5 in k 1.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.453 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.453 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.453 * [taylor]: Taking taylor expansion of 2.0 in k 1.453 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.456 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.456 * [taylor]: Taking taylor expansion of 0.5 in k 1.456 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.456 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.456 * [taylor]: Taking taylor expansion of 2.0 in k 1.456 * [taylor]: Taking taylor expansion of PI in k 1.461 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.461 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 1.461 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 1.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 1.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.462 * [taylor]: Taking taylor expansion of 0.5 in n 1.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.462 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.464 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.464 * [taylor]: Taking taylor expansion of 0.5 in n 1.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.464 * [taylor]: Taking taylor expansion of 1.0 in n 1.464 * [taylor]: Taking taylor expansion of k in n 1.464 * [taylor]: Taking taylor expansion of (log n) in n 1.464 * [taylor]: Taking taylor expansion of n in n 1.465 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.465 * [taylor]: Taking taylor expansion of 0.5 in k 1.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.465 * [taylor]: Taking taylor expansion of 1.0 in k 1.465 * [taylor]: Taking taylor expansion of k in k 1.465 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.465 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.465 * [taylor]: Taking taylor expansion of 2.0 in k 1.465 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.470 * [taylor]: Taking taylor expansion of 0.5 in k 1.470 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.470 * [taylor]: Taking taylor expansion of 1.0 in k 1.470 * [taylor]: Taking taylor expansion of k in k 1.470 * [taylor]: Taking taylor expansion of (log n) in k 1.470 * [taylor]: Taking taylor expansion of n in k 1.470 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.471 * [taylor]: Taking taylor expansion of 0.5 in k 1.471 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.471 * [taylor]: Taking taylor expansion of 1.0 in k 1.471 * [taylor]: Taking taylor expansion of k in k 1.471 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.471 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.471 * [taylor]: Taking taylor expansion of 2.0 in k 1.471 * [taylor]: Taking taylor expansion of PI in k 1.475 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.475 * [taylor]: Taking taylor expansion of 0.5 in k 1.475 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.475 * [taylor]: Taking taylor expansion of 1.0 in k 1.475 * [taylor]: Taking taylor expansion of k in k 1.475 * [taylor]: Taking taylor expansion of (log n) in k 1.475 * [taylor]: Taking taylor expansion of n in k 1.477 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.477 * [taylor]: Taking taylor expansion of 0.5 in n 1.477 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.477 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.477 * [taylor]: Taking taylor expansion of 1.0 in n 1.477 * [taylor]: Taking taylor expansion of (log PI) in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.479 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.479 * [taylor]: Taking taylor expansion of 1.0 in n 1.479 * [taylor]: Taking taylor expansion of (log n) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.479 * [taylor]: Taking taylor expansion of 1.0 in n 1.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.504 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.504 * [taylor]: Taking taylor expansion of 0.5 in n 1.504 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.505 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.505 * [taylor]: Taking taylor expansion of 0.5 in n 1.505 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.505 * [taylor]: Taking taylor expansion of 1.0 in n 1.505 * [taylor]: Taking taylor expansion of (log PI) in n 1.505 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.507 * [taylor]: Taking taylor expansion of 1.0 in n 1.507 * [taylor]: Taking taylor expansion of (log n) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.508 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.508 * [taylor]: Taking taylor expansion of 2.0 in n 1.513 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.513 * [taylor]: Taking taylor expansion of 0.5 in n 1.513 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.513 * [taylor]: Taking taylor expansion of (log n) in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.514 * [taylor]: Taking taylor expansion of 0.5 in n 1.514 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [taylor]: Taking taylor expansion of (log PI) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.515 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [taylor]: Taking taylor expansion of (log n) in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.516 * [taylor]: Taking taylor expansion of 2.0 in n 1.574 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.574 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.574 * [taylor]: Taking taylor expansion of 0.125 in n 1.574 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.574 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.574 * [taylor]: Taking taylor expansion of (log n) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.575 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.575 * [taylor]: Taking taylor expansion of 0.5 in n 1.575 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.575 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.575 * [taylor]: Taking taylor expansion of 1.0 in n 1.575 * [taylor]: Taking taylor expansion of (log PI) in n 1.575 * [taylor]: Taking taylor expansion of PI in n 1.577 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.577 * [taylor]: Taking taylor expansion of 1.0 in n 1.577 * [taylor]: Taking taylor expansion of (log n) in n 1.577 * [taylor]: Taking taylor expansion of n in n 1.577 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.578 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.578 * [taylor]: Taking taylor expansion of 1.0 in n 1.578 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.578 * [taylor]: Taking taylor expansion of 2.0 in n 1.583 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.583 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 1.583 * [taylor]: Taking taylor expansion of 0.25 in n 1.583 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 1.583 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 1.583 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.583 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.583 * [taylor]: Taking taylor expansion of 2.0 in n 1.583 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of (log n) in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.584 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.584 * [taylor]: Taking taylor expansion of 0.5 in n 1.584 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.584 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.584 * [taylor]: Taking taylor expansion of 1.0 in n 1.584 * [taylor]: Taking taylor expansion of (log PI) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.586 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.586 * [taylor]: Taking taylor expansion of 1.0 in n 1.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.586 * [taylor]: Taking taylor expansion of 2.0 in n 1.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.588 * [taylor]: Taking taylor expansion of 1.0 in n 1.588 * [taylor]: Taking taylor expansion of (log n) in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.592 * [taylor]: Taking taylor expansion of 0.125 in n 1.592 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.592 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 1.592 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.592 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.592 * [taylor]: Taking taylor expansion of 2.0 in n 1.592 * [taylor]: Taking taylor expansion of PI in n 1.593 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.593 * [taylor]: Taking taylor expansion of 0.5 in n 1.593 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.593 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.593 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.593 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.593 * [taylor]: Taking taylor expansion of 1.0 in n 1.593 * [taylor]: Taking taylor expansion of (log PI) in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.595 * [taylor]: Taking taylor expansion of 1.0 in n 1.595 * [taylor]: Taking taylor expansion of (log n) in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.596 * [taylor]: Taking taylor expansion of 1.0 in n 1.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.596 * [taylor]: Taking taylor expansion of 2.0 in n 1.639 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.639 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.639 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.639 * [taylor]: Taking taylor expansion of 0.5 in n 1.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.639 * [taylor]: Taking taylor expansion of k in n 1.640 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 1.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 1.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.641 * [taylor]: Taking taylor expansion of 0.5 in n 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.643 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.643 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.643 * [taylor]: Taking taylor expansion of 0.5 in k 1.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.643 * [taylor]: Taking taylor expansion of 1.0 in k 1.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.644 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.645 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.645 * [taylor]: Taking taylor expansion of 0.5 in k 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.645 * [taylor]: Taking taylor expansion of 1.0 in k 1.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.645 * [taylor]: Taking taylor expansion of k in k 1.645 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.645 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.645 * [taylor]: Taking taylor expansion of 2.0 in k 1.645 * [taylor]: Taking taylor expansion of PI in k 1.648 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.648 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.648 * [taylor]: Taking taylor expansion of 0.5 in k 1.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.648 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.649 * [taylor]: Taking taylor expansion of n in k 1.650 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.650 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.650 * [taylor]: Taking taylor expansion of 0.5 in k 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.650 * [taylor]: Taking taylor expansion of 1.0 in k 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.650 * [taylor]: Taking taylor expansion of k in k 1.650 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.650 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.650 * [taylor]: Taking taylor expansion of 2.0 in k 1.650 * [taylor]: Taking taylor expansion of PI in k 1.654 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.654 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.654 * [taylor]: Taking taylor expansion of 0.5 in n 1.654 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.654 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.655 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.655 * [taylor]: Taking taylor expansion of n in n 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.655 * [taylor]: Taking taylor expansion of 1.0 in n 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.655 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 1.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 1.656 * [taylor]: Taking taylor expansion of 0.5 in n 1.656 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 1.656 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.656 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.656 * [taylor]: Taking taylor expansion of 2.0 in n 1.656 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.657 * [taylor]: Taking taylor expansion of 1.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.657 * [taylor]: Taking taylor expansion of k in n 1.661 * [taylor]: Taking taylor expansion of 0 in n 1.670 * [taylor]: Taking taylor expansion of 0 in n 1.683 * [taylor]: Taking taylor expansion of 0 in n 1.684 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.684 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.684 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.685 * [taylor]: Taking taylor expansion of 0.5 in n 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.685 * [taylor]: Taking taylor expansion of k in n 1.685 * [taylor]: Taking taylor expansion of 1.0 in n 1.685 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.685 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.685 * [taylor]: Taking taylor expansion of -1 in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 1.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 1.687 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.687 * [taylor]: Taking taylor expansion of 0.5 in n 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.687 * [taylor]: Taking taylor expansion of k in n 1.687 * [taylor]: Taking taylor expansion of 1.0 in n 1.687 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.687 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.687 * [taylor]: Taking taylor expansion of 2.0 in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.689 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.689 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.689 * [taylor]: Taking taylor expansion of 0.5 in k 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.689 * [taylor]: Taking taylor expansion of k in k 1.690 * [taylor]: Taking taylor expansion of 1.0 in k 1.690 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.690 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.690 * [taylor]: Taking taylor expansion of -1 in k 1.690 * [taylor]: Taking taylor expansion of n in k 1.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.690 * [taylor]: Taking taylor expansion of 0.5 in k 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.690 * [taylor]: Taking taylor expansion of k in k 1.691 * [taylor]: Taking taylor expansion of 1.0 in k 1.691 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.691 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.691 * [taylor]: Taking taylor expansion of 2.0 in k 1.691 * [taylor]: Taking taylor expansion of PI in k 1.694 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.694 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.694 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.694 * [taylor]: Taking taylor expansion of 0.5 in k 1.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.694 * [taylor]: Taking taylor expansion of k in k 1.694 * [taylor]: Taking taylor expansion of 1.0 in k 1.694 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.694 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.694 * [taylor]: Taking taylor expansion of -1 in k 1.694 * [taylor]: Taking taylor expansion of n in k 1.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.695 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.695 * [taylor]: Taking taylor expansion of 0.5 in k 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.696 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.696 * [taylor]: Taking taylor expansion of 2.0 in k 1.696 * [taylor]: Taking taylor expansion of PI in k 1.705 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.705 * [taylor]: Taking taylor expansion of 0.5 in n 1.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.705 * [taylor]: Taking taylor expansion of k in n 1.705 * [taylor]: Taking taylor expansion of 1.0 in n 1.705 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.705 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.705 * [taylor]: Taking taylor expansion of -1 in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 1.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 1.707 * [taylor]: Taking taylor expansion of 0.5 in n 1.707 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 1.707 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.707 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.707 * [taylor]: Taking taylor expansion of 2.0 in n 1.707 * [taylor]: Taking taylor expansion of PI in n 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.708 * [taylor]: Taking taylor expansion of k in n 1.708 * [taylor]: Taking taylor expansion of 1.0 in n 1.713 * [taylor]: Taking taylor expansion of 0 in n 1.723 * [taylor]: Taking taylor expansion of 0 in n 1.737 * [taylor]: Taking taylor expansion of 0 in n 1.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.739 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.739 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.739 * [taylor]: Taking taylor expansion of 1.0 in k 1.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.741 * [taylor]: Taking taylor expansion of k in k 1.752 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.752 * [taylor]: Taking taylor expansion of k in k 1.753 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.753 * [taylor]: Taking taylor expansion of 1.0 in k 1.753 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.753 * [taylor]: Taking taylor expansion of k in k 1.764 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.764 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.764 * [taylor]: Taking taylor expansion of 1.0 in k 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.764 * [taylor]: Taking taylor expansion of -1 in k 1.764 * [taylor]: Taking taylor expansion of k in k 1.766 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.766 * [taylor]: Taking taylor expansion of 1.0 in k 1.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.766 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.766 * [taylor]: Taking taylor expansion of -1 in k 1.766 * [taylor]: Taking taylor expansion of k in k 1.778 * * * [progress]: simplifying candidates 1.780 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (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)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 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)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (- (+ (* 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)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 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)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.797 * * [simplify]: iteration 0 : 788 enodes (cost 1258 ) 1.810 * * [simplify]: iteration 1 : 3048 enodes (cost 1181 ) 1.858 * * [simplify]: iteration 2 : 5001 enodes (cost 1165 ) 1.863 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 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))) n (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))) n n (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)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log 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 (pow n (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 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)) (* (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 (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (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))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 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 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (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) (fma (* 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)))))) (fma (* 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))) (fma (- 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) (fma (* 0.125 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI)))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 1.865 * * * [progress]: adding candidates to table 2.351 * * [progress]: iteration 3 / 4 2.351 * * * [progress]: picking best candidate 2.372 * * * * [pick]: Picked # 2.372 * * * [progress]: localizing error 2.389 * * * [progress]: generating rewritten candidates 2.389 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.397 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.425 * * * [progress]: generating series expansions 2.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.425 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.425 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.425 * [taylor]: Taking taylor expansion of 0.5 in k 2.425 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.425 * [taylor]: Taking taylor expansion of 1.0 in k 2.425 * [taylor]: Taking taylor expansion of k in k 2.426 * [taylor]: Taking taylor expansion of (log n) in k 2.426 * [taylor]: Taking taylor expansion of n in k 2.427 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.427 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.427 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.427 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.427 * [taylor]: Taking taylor expansion of 0.5 in n 2.427 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.427 * [taylor]: Taking taylor expansion of 1.0 in n 2.427 * [taylor]: Taking taylor expansion of k in n 2.427 * [taylor]: Taking taylor expansion of (log n) in n 2.427 * [taylor]: Taking taylor expansion of n in n 2.428 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.428 * [taylor]: Taking taylor expansion of 0.5 in n 2.428 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.428 * [taylor]: Taking taylor expansion of 1.0 in n 2.428 * [taylor]: Taking taylor expansion of k in n 2.428 * [taylor]: Taking taylor expansion of (log n) in n 2.428 * [taylor]: Taking taylor expansion of n in n 2.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.429 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.429 * [taylor]: Taking taylor expansion of 0.5 in k 2.429 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.429 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.429 * [taylor]: Taking taylor expansion of 1.0 in k 2.429 * [taylor]: Taking taylor expansion of k in k 2.429 * [taylor]: Taking taylor expansion of (log n) in k 2.429 * [taylor]: Taking taylor expansion of n in k 2.432 * [taylor]: Taking taylor expansion of 0 in k 2.437 * [taylor]: Taking taylor expansion of 0 in k 2.445 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) 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 (/ 1 n)) in k 2.445 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.445 * [taylor]: Taking taylor expansion of n in k 2.446 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.446 * [taylor]: Taking taylor expansion of 0.5 in n 2.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.447 * [taylor]: Taking taylor expansion of 1.0 in n 2.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.447 * [taylor]: Taking taylor expansion of k in n 2.447 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.447 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.447 * [taylor]: Taking taylor expansion of n in n 2.448 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.448 * [taylor]: Taking taylor expansion of 0.5 in n 2.448 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.448 * [taylor]: Taking taylor expansion of 1.0 in n 2.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.448 * [taylor]: Taking taylor expansion of k in n 2.448 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.448 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.448 * [taylor]: Taking taylor expansion of n in n 2.449 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.449 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.449 * [taylor]: Taking taylor expansion of -0.5 in k 2.449 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.449 * [taylor]: Taking taylor expansion of (log n) in k 2.449 * [taylor]: Taking taylor expansion of n in k 2.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.449 * [taylor]: Taking taylor expansion of 1.0 in k 2.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.449 * [taylor]: Taking taylor expansion of k in k 2.453 * [taylor]: Taking taylor expansion of 0 in k 2.457 * [taylor]: Taking taylor expansion of 0 in k 2.463 * [taylor]: Taking taylor expansion of 0 in k 2.463 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.463 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.464 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.464 * [taylor]: Taking taylor expansion of 0.5 in k 2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.464 * [taylor]: Taking taylor expansion of k in k 2.464 * [taylor]: Taking taylor expansion of 1.0 in k 2.464 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.464 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.464 * [taylor]: Taking taylor expansion of -1 in k 2.464 * [taylor]: Taking taylor expansion of n in k 2.465 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.465 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.465 * [taylor]: Taking taylor expansion of 0.5 in n 2.465 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.465 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.465 * [taylor]: Taking taylor expansion of k in n 2.465 * [taylor]: Taking taylor expansion of 1.0 in n 2.465 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.465 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.465 * [taylor]: Taking taylor expansion of -1 in n 2.465 * [taylor]: Taking taylor expansion of n in n 2.467 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.467 * [taylor]: Taking taylor expansion of k in n 2.467 * [taylor]: Taking taylor expansion of 1.0 in n 2.467 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.467 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.467 * [taylor]: Taking taylor expansion of -1 in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.469 * [taylor]: Taking taylor expansion of 0.5 in k 2.469 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.469 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.469 * [taylor]: Taking taylor expansion of (log -1) in k 2.469 * [taylor]: Taking taylor expansion of -1 in k 2.469 * [taylor]: Taking taylor expansion of (log n) in k 2.469 * [taylor]: Taking taylor expansion of n in k 2.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in k 2.475 * [taylor]: Taking taylor expansion of 0 in k 2.480 * [taylor]: Taking taylor expansion of 0 in k 2.486 * [taylor]: Taking taylor expansion of 0 in k 2.487 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.487 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.487 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.487 * [taylor]: Taking taylor expansion of 0.5 in k 2.487 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.487 * [taylor]: Taking taylor expansion of 1.0 in k 2.487 * [taylor]: Taking taylor expansion of k in k 2.487 * [taylor]: Taking taylor expansion of (log PI) in k 2.487 * [taylor]: Taking taylor expansion of PI in k 2.490 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.490 * [taylor]: Taking taylor expansion of 0.5 in k 2.490 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.490 * [taylor]: Taking taylor expansion of 1.0 in k 2.490 * [taylor]: Taking taylor expansion of k in k 2.490 * [taylor]: Taking taylor expansion of (log PI) in k 2.490 * [taylor]: Taking taylor expansion of PI in k 2.521 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.521 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.521 * [taylor]: Taking taylor expansion of 0.5 in k 2.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.521 * [taylor]: Taking taylor expansion of k in k 2.521 * [taylor]: Taking taylor expansion of (log PI) in k 2.521 * [taylor]: Taking taylor expansion of PI in k 2.529 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.529 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.529 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.529 * [taylor]: Taking taylor expansion of 0.5 in k 2.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.529 * [taylor]: Taking taylor expansion of 1.0 in k 2.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.529 * [taylor]: Taking taylor expansion of k in k 2.529 * [taylor]: Taking taylor expansion of (log PI) in k 2.529 * [taylor]: Taking taylor expansion of PI in k 2.532 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.532 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.532 * [taylor]: Taking taylor expansion of 0.5 in k 2.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.532 * [taylor]: Taking taylor expansion of k in k 2.533 * [taylor]: Taking taylor expansion of 1.0 in k 2.533 * [taylor]: Taking taylor expansion of (log PI) in k 2.533 * [taylor]: Taking taylor expansion of PI in k 2.534 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.534 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.534 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.534 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.534 * [taylor]: Taking taylor expansion of 0.5 in k 2.534 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.534 * [taylor]: Taking taylor expansion of k in k 2.535 * [taylor]: Taking taylor expansion of 1.0 in k 2.535 * [taylor]: Taking taylor expansion of (log PI) in k 2.535 * [taylor]: Taking taylor expansion of PI in k 2.537 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.537 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 2.537 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.537 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 2.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 2.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 2.538 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.538 * [taylor]: Taking taylor expansion of 0.5 in n 2.538 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.538 * [taylor]: Taking taylor expansion of 1.0 in n 2.538 * [taylor]: Taking taylor expansion of k in n 2.538 * [taylor]: Taking taylor expansion of (log PI) in n 2.538 * [taylor]: Taking taylor expansion of PI in n 2.539 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.539 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.539 * [taylor]: Taking taylor expansion of 0.5 in n 2.539 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.539 * [taylor]: Taking taylor expansion of 1.0 in n 2.539 * [taylor]: Taking taylor expansion of k in n 2.539 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.539 * [taylor]: Taking taylor expansion of 2.0 in n 2.540 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.540 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.540 * [taylor]: Taking taylor expansion of 0.5 in n 2.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.540 * [taylor]: Taking taylor expansion of 1.0 in n 2.540 * [taylor]: Taking taylor expansion of k in n 2.540 * [taylor]: Taking taylor expansion of (log n) in n 2.540 * [taylor]: Taking taylor expansion of n in n 2.540 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.541 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.541 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.541 * [taylor]: Taking taylor expansion of 0.5 in k 2.541 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.541 * [taylor]: Taking taylor expansion of 1.0 in k 2.541 * [taylor]: Taking taylor expansion of k in k 2.541 * [taylor]: Taking taylor expansion of (log PI) in k 2.541 * [taylor]: Taking taylor expansion of PI in k 2.543 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.543 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.543 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.543 * [taylor]: Taking taylor expansion of 0.5 in k 2.543 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.543 * [taylor]: Taking taylor expansion of 1.0 in k 2.543 * [taylor]: Taking taylor expansion of k in k 2.543 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.543 * [taylor]: Taking taylor expansion of 2.0 in k 2.546 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.546 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.546 * [taylor]: Taking taylor expansion of 0.5 in k 2.546 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.546 * [taylor]: Taking taylor expansion of 1.0 in k 2.546 * [taylor]: Taking taylor expansion of k in k 2.546 * [taylor]: Taking taylor expansion of (log n) in k 2.546 * [taylor]: Taking taylor expansion of n in k 2.547 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.547 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.547 * [taylor]: Taking taylor expansion of 0.5 in k 2.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of k in k 2.547 * [taylor]: Taking taylor expansion of (log PI) in k 2.547 * [taylor]: Taking taylor expansion of PI in k 2.549 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.549 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.550 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.550 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.550 * [taylor]: Taking taylor expansion of 0.5 in k 2.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of k in k 2.550 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.550 * [taylor]: Taking taylor expansion of 2.0 in k 2.552 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.552 * [taylor]: Taking taylor expansion of 0.5 in k 2.552 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.552 * [taylor]: Taking taylor expansion of 1.0 in k 2.552 * [taylor]: Taking taylor expansion of k in k 2.552 * [taylor]: Taking taylor expansion of (log n) in k 2.552 * [taylor]: Taking taylor expansion of n in k 2.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.554 * [taylor]: Taking taylor expansion of 0.5 in n 2.554 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.554 * [taylor]: Taking taylor expansion of 1.0 in n 2.554 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.554 * [taylor]: Taking taylor expansion of 2.0 in n 2.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.556 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.556 * [taylor]: Taking taylor expansion of 1.0 in n 2.556 * [taylor]: Taking taylor expansion of (log n) in n 2.556 * [taylor]: Taking taylor expansion of n in n 2.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log PI) in n 2.557 * [taylor]: Taking taylor expansion of PI in n 2.589 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.589 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.590 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 2.590 * [taylor]: Taking taylor expansion of 0.5 in n 2.590 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 2.590 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.590 * [taylor]: Taking taylor expansion of 0.5 in n 2.590 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.590 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.590 * [taylor]: Taking taylor expansion of 2.0 in n 2.591 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.591 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.592 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.592 * [taylor]: Taking taylor expansion of 1.0 in n 2.592 * [taylor]: Taking taylor expansion of (log n) in n 2.592 * [taylor]: Taking taylor expansion of n in n 2.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.592 * [taylor]: Taking taylor expansion of 1.0 in n 2.592 * [taylor]: Taking taylor expansion of (log PI) in n 2.592 * [taylor]: Taking taylor expansion of PI in n 2.597 * [taylor]: Taking taylor expansion of (log PI) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.598 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.598 * [taylor]: Taking taylor expansion of 0.5 in n 2.598 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.598 * [taylor]: Taking taylor expansion of (log n) in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.598 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.598 * [taylor]: Taking taylor expansion of 0.5 in n 2.598 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.598 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log PI) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.600 * [taylor]: Taking taylor expansion of 1.0 in n 2.600 * [taylor]: Taking taylor expansion of (log n) in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.601 * [taylor]: Taking taylor expansion of 1.0 in n 2.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.601 * [taylor]: Taking taylor expansion of 2.0 in n 2.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.606 * [taylor]: Taking taylor expansion of 0.5 in n 2.606 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.606 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.606 * [taylor]: Taking taylor expansion of 2.0 in n 2.606 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.607 * [taylor]: Taking taylor expansion of 0.5 in n 2.607 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.607 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.607 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.607 * [taylor]: Taking taylor expansion of 1.0 in n 2.607 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.607 * [taylor]: Taking taylor expansion of 2.0 in n 2.608 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (log n) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.609 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.609 * [taylor]: Taking taylor expansion of 1.0 in n 2.609 * [taylor]: Taking taylor expansion of (log PI) in n 2.609 * [taylor]: Taking taylor expansion of PI in n 2.685 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 2.685 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 2.685 * [taylor]: Taking taylor expansion of 0.25 in n 2.685 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 2.685 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 2.685 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.685 * [taylor]: Taking taylor expansion of 2.0 in n 2.685 * [taylor]: Taking taylor expansion of (log n) in n 2.685 * [taylor]: Taking taylor expansion of n in n 2.685 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.686 * [taylor]: Taking taylor expansion of 0.5 in n 2.686 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.686 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.686 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.686 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.686 * [taylor]: Taking taylor expansion of 1.0 in n 2.686 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.686 * [taylor]: Taking taylor expansion of 2.0 in n 2.687 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.687 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.687 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.687 * [taylor]: Taking taylor expansion of 1.0 in n 2.687 * [taylor]: Taking taylor expansion of (log PI) in n 2.688 * [taylor]: Taking taylor expansion of PI in n 2.689 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.689 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.689 * [taylor]: Taking taylor expansion of 1.0 in n 2.689 * [taylor]: Taking taylor expansion of (log n) in n 2.689 * [taylor]: Taking taylor expansion of n in n 2.694 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 2.694 * [taylor]: Taking taylor expansion of 0.25 in n 2.694 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 2.694 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.694 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.694 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.694 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.694 * [taylor]: Taking taylor expansion of 2.0 in n 2.696 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.696 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of (log PI) in n 2.696 * [taylor]: Taking taylor expansion of PI in n 2.698 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.698 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [taylor]: Taking taylor expansion of (log n) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.707 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 2.707 * [taylor]: Taking taylor expansion of (log n) in n 2.707 * [taylor]: Taking taylor expansion of n in n 2.708 * [taylor]: Taking taylor expansion of (log PI) in n 2.708 * [taylor]: Taking taylor expansion of PI in n 2.708 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 2.708 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.708 * [taylor]: Taking taylor expansion of 0.25 in n 2.708 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.708 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 2.708 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.708 * [taylor]: Taking taylor expansion of 2.0 in n 2.708 * [taylor]: Taking taylor expansion of (log PI) in n 2.708 * [taylor]: Taking taylor expansion of PI in n 2.709 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.709 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.709 * [taylor]: Taking taylor expansion of 0.5 in n 2.709 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.709 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.709 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.709 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.709 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.709 * [taylor]: Taking taylor expansion of 2.0 in n 2.711 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.711 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.711 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.711 * [taylor]: Taking taylor expansion of 1.0 in n 2.711 * [taylor]: Taking taylor expansion of (log n) in n 2.711 * [taylor]: Taking taylor expansion of n in n 2.711 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.711 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.711 * [taylor]: Taking taylor expansion of 1.0 in n 2.711 * [taylor]: Taking taylor expansion of (log PI) in n 2.711 * [taylor]: Taking taylor expansion of PI in n 2.717 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 2.717 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.717 * [taylor]: Taking taylor expansion of 0.125 in n 2.717 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.717 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.717 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.717 * [taylor]: Taking taylor expansion of 2.0 in n 2.717 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.717 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.717 * [taylor]: Taking taylor expansion of 0.5 in n 2.717 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.717 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.717 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (log PI) in n 2.717 * [taylor]: Taking taylor expansion of PI in n 2.719 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.719 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.719 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.719 * [taylor]: Taking taylor expansion of 1.0 in n 2.719 * [taylor]: Taking taylor expansion of (log n) in n 2.719 * [taylor]: Taking taylor expansion of n in n 2.720 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.720 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.720 * [taylor]: Taking taylor expansion of 1.0 in n 2.720 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.720 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 2.725 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 2.725 * [taylor]: Taking taylor expansion of 0.125 in n 2.725 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 2.725 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.725 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.725 * [taylor]: Taking taylor expansion of 0.5 in n 2.725 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.725 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.725 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.726 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.726 * [taylor]: Taking taylor expansion of 1.0 in n 2.726 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.726 * [taylor]: Taking taylor expansion of 2.0 in n 2.727 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.727 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.727 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.727 * [taylor]: Taking taylor expansion of 1.0 in n 2.727 * [taylor]: Taking taylor expansion of (log n) in n 2.727 * [taylor]: Taking taylor expansion of n in n 2.728 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.728 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.728 * [taylor]: Taking taylor expansion of 1.0 in n 2.728 * [taylor]: Taking taylor expansion of (log PI) in n 2.728 * [taylor]: Taking taylor expansion of PI in n 2.733 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 2.733 * [taylor]: Taking taylor expansion of (log PI) in n 2.733 * [taylor]: Taking taylor expansion of PI in n 2.734 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 2.734 * [taylor]: Taking taylor expansion of 0.125 in n 2.734 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 2.734 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.734 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.734 * [taylor]: Taking taylor expansion of 0.5 in n 2.734 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.734 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.734 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.734 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.734 * [taylor]: Taking taylor expansion of 1.0 in n 2.734 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.734 * [taylor]: Taking taylor expansion of 2.0 in n 2.736 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.736 * [taylor]: Taking taylor expansion of 1.0 in n 2.736 * [taylor]: Taking taylor expansion of (log PI) in n 2.736 * [taylor]: Taking taylor expansion of PI in n 2.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.738 * [taylor]: Taking taylor expansion of 1.0 in n 2.738 * [taylor]: Taking taylor expansion of (log n) in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.742 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.742 * [taylor]: Taking taylor expansion of (log n) in n 2.742 * [taylor]: Taking taylor expansion of n in n 2.816 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.816 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.816 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.816 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.816 * [taylor]: Taking taylor expansion of 0.5 in n 2.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.816 * [taylor]: Taking taylor expansion of 1.0 in n 2.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.816 * [taylor]: Taking taylor expansion of k in n 2.816 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.816 * [taylor]: Taking taylor expansion of 2.0 in n 2.817 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 2.817 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.817 * [taylor]: Taking taylor expansion of 0.5 in n 2.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.817 * [taylor]: Taking taylor expansion of k in n 2.817 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.817 * [taylor]: Taking taylor expansion of n in n 2.818 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 2.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 2.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.819 * [taylor]: Taking taylor expansion of 0.5 in n 2.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.819 * [taylor]: Taking taylor expansion of 1.0 in n 2.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.819 * [taylor]: Taking taylor expansion of k in n 2.819 * [taylor]: Taking taylor expansion of (log PI) in n 2.819 * [taylor]: Taking taylor expansion of PI in n 2.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.820 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.820 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.820 * [taylor]: Taking taylor expansion of 0.5 in k 2.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.820 * [taylor]: Taking taylor expansion of 1.0 in k 2.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.820 * [taylor]: Taking taylor expansion of k in k 2.820 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.820 * [taylor]: Taking taylor expansion of 2.0 in k 2.822 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.822 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.822 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.822 * [taylor]: Taking taylor expansion of 0.5 in k 2.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.822 * [taylor]: Taking taylor expansion of 1.0 in k 2.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.822 * [taylor]: Taking taylor expansion of k in k 2.822 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.822 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.822 * [taylor]: Taking taylor expansion of n in k 2.824 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.824 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.824 * [taylor]: Taking taylor expansion of 0.5 in k 2.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.824 * [taylor]: Taking taylor expansion of 1.0 in k 2.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.824 * [taylor]: Taking taylor expansion of k in k 2.824 * [taylor]: Taking taylor expansion of (log PI) in k 2.824 * [taylor]: Taking taylor expansion of PI in k 2.826 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.826 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.826 * [taylor]: Taking taylor expansion of 0.5 in k 2.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.826 * [taylor]: Taking taylor expansion of 1.0 in k 2.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.826 * [taylor]: Taking taylor expansion of k in k 2.826 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.826 * [taylor]: Taking taylor expansion of 2.0 in k 2.828 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.828 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.828 * [taylor]: Taking taylor expansion of 0.5 in k 2.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.828 * [taylor]: Taking taylor expansion of 1.0 in k 2.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.828 * [taylor]: Taking taylor expansion of k in k 2.829 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.829 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.829 * [taylor]: Taking taylor expansion of n in k 2.829 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.830 * [taylor]: Taking taylor expansion of 0.5 in k 2.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.830 * [taylor]: Taking taylor expansion of 1.0 in k 2.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.830 * [taylor]: Taking taylor expansion of k in k 2.830 * [taylor]: Taking taylor expansion of (log PI) in k 2.830 * [taylor]: Taking taylor expansion of PI in k 2.833 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.833 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.833 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.833 * [taylor]: Taking taylor expansion of 0.5 in n 2.833 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.833 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.833 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.834 * [taylor]: Taking taylor expansion of k in n 2.834 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 2.834 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 2.834 * [taylor]: Taking taylor expansion of 0.5 in n 2.834 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 2.834 * [taylor]: Taking taylor expansion of (log PI) in n 2.834 * [taylor]: Taking taylor expansion of PI in n 2.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.835 * [taylor]: Taking taylor expansion of 1.0 in n 2.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.835 * [taylor]: Taking taylor expansion of k in n 2.836 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.836 * [taylor]: Taking taylor expansion of 0.5 in n 2.836 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.836 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.836 * [taylor]: Taking taylor expansion of 2.0 in n 2.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.836 * [taylor]: Taking taylor expansion of 1.0 in n 2.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.836 * [taylor]: Taking taylor expansion of k in n 2.841 * [taylor]: Taking taylor expansion of 0 in n 2.852 * [taylor]: Taking taylor expansion of 0 in n 2.869 * [taylor]: Taking taylor expansion of 0 in n 2.870 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 2.870 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 2.870 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.870 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.870 * [taylor]: Taking taylor expansion of 0.5 in n 2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.871 * [taylor]: Taking taylor expansion of k in n 2.871 * [taylor]: Taking taylor expansion of 1.0 in n 2.871 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.871 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.871 * [taylor]: Taking taylor expansion of -1 in n 2.871 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.872 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.872 * [taylor]: Taking taylor expansion of 0.5 in n 2.872 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.873 * [taylor]: Taking taylor expansion of k in n 2.873 * [taylor]: Taking taylor expansion of 1.0 in n 2.873 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.873 * [taylor]: Taking taylor expansion of 2.0 in n 2.874 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 2.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 2.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 2.874 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.874 * [taylor]: Taking taylor expansion of 0.5 in n 2.874 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.874 * [taylor]: Taking taylor expansion of k in n 2.874 * [taylor]: Taking taylor expansion of 1.0 in n 2.874 * [taylor]: Taking taylor expansion of (log PI) in n 2.874 * [taylor]: Taking taylor expansion of PI in n 2.875 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.875 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.875 * [taylor]: Taking taylor expansion of 0.5 in k 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of 1.0 in k 2.875 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.875 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.875 * [taylor]: Taking taylor expansion of -1 in k 2.875 * [taylor]: Taking taylor expansion of n in k 2.876 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.876 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.876 * [taylor]: Taking taylor expansion of 0.5 in k 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.876 * [taylor]: Taking taylor expansion of k in k 2.877 * [taylor]: Taking taylor expansion of 1.0 in k 2.877 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.877 * [taylor]: Taking taylor expansion of 2.0 in k 2.878 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.878 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.878 * [taylor]: Taking taylor expansion of 0.5 in k 2.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.878 * [taylor]: Taking taylor expansion of k in k 2.879 * [taylor]: Taking taylor expansion of 1.0 in k 2.879 * [taylor]: Taking taylor expansion of (log PI) in k 2.879 * [taylor]: Taking taylor expansion of PI in k 2.885 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.885 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.885 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.885 * [taylor]: Taking taylor expansion of 0.5 in k 2.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.885 * [taylor]: Taking taylor expansion of k in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.886 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.886 * [taylor]: Taking taylor expansion of -1 in k 2.886 * [taylor]: Taking taylor expansion of n in k 2.886 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.886 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.887 * [taylor]: Taking taylor expansion of 0.5 in k 2.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.887 * [taylor]: Taking taylor expansion of k in k 2.887 * [taylor]: Taking taylor expansion of 1.0 in k 2.887 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.887 * [taylor]: Taking taylor expansion of 2.0 in k 2.889 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.889 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.889 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.889 * [taylor]: Taking taylor expansion of 0.5 in k 2.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.889 * [taylor]: Taking taylor expansion of k in k 2.889 * [taylor]: Taking taylor expansion of 1.0 in k 2.889 * [taylor]: Taking taylor expansion of (log PI) in k 2.889 * [taylor]: Taking taylor expansion of PI in k 2.892 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 2.892 * [taylor]: Taking taylor expansion of 0.5 in n 2.892 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.892 * [taylor]: Taking taylor expansion of k in n 2.892 * [taylor]: Taking taylor expansion of 1.0 in n 2.892 * [taylor]: Taking taylor expansion of (log PI) in n 2.892 * [taylor]: Taking taylor expansion of PI in n 2.894 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.894 * [taylor]: Taking taylor expansion of 0.5 in n 2.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.894 * [taylor]: Taking taylor expansion of k in n 2.894 * [taylor]: Taking taylor expansion of 1.0 in n 2.894 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.894 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.894 * [taylor]: Taking taylor expansion of -1 in n 2.894 * [taylor]: Taking taylor expansion of n in n 2.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.896 * [taylor]: Taking taylor expansion of 0.5 in n 2.896 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.896 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.896 * [taylor]: Taking taylor expansion of 2.0 in n 2.896 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.896 * [taylor]: Taking taylor expansion of k in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.901 * [taylor]: Taking taylor expansion of 0 in n 2.914 * [taylor]: Taking taylor expansion of 0 in n 2.932 * [taylor]: Taking taylor expansion of 0 in n 2.933 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.933 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.933 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.933 * [taylor]: Taking taylor expansion of 1.0 in k 2.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.933 * [taylor]: Taking taylor expansion of k in k 2.935 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.935 * [taylor]: Taking taylor expansion of 1.0 in k 2.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.935 * [taylor]: Taking taylor expansion of k in k 2.946 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.946 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.946 * [taylor]: Taking taylor expansion of 1.0 in k 2.946 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.946 * [taylor]: Taking taylor expansion of k in k 2.947 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.947 * [taylor]: Taking taylor expansion of 1.0 in k 2.947 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.947 * [taylor]: Taking taylor expansion of k in k 2.957 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.957 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.957 * [taylor]: Taking taylor expansion of 1.0 in k 2.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.957 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.957 * [taylor]: Taking taylor expansion of -1 in k 2.957 * [taylor]: Taking taylor expansion of k in k 2.959 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.959 * [taylor]: Taking taylor expansion of 1.0 in k 2.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.959 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.959 * [taylor]: Taking taylor expansion of -1 in k 2.959 * [taylor]: Taking taylor expansion of k in k 2.977 * * * [progress]: simplifying candidates 2.980 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow 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(- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 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)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 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)))) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 1) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (- (+ (* 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)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 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)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.990 * * [simplify]: iteration 0 : 961 enodes (cost 1523 ) 3.007 * * [simplify]: iteration 1 : 3925 enodes (cost 1313 ) 3.072 * * [simplify]: iteration 2 : 5003 enodes (cost 1304 ) 3.079 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 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))) n (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))) n n (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)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log 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 (pow n (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 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))) PI (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))) PI PI (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)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log 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 (pow PI (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 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 (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 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))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (fma (* 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)))))) (fma (* 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))) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* (pow k 2) (* (log n) (log PI))))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma k (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 3.080 * * * [progress]: adding candidates to table 3.592 * * [progress]: iteration 4 / 4 3.592 * * * [progress]: picking best candidate 3.606 * * * * [pick]: Picked # 3.607 * * * [progress]: localizing error 3.626 * * * [progress]: generating rewritten candidates 3.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.634 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 3.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.663 * * * [progress]: generating series expansions 3.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.664 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.664 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.664 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.664 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.664 * [taylor]: Taking taylor expansion of 0.25 in k 3.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.664 * [taylor]: Taking taylor expansion of 1.0 in k 3.664 * [taylor]: Taking taylor expansion of k in k 3.664 * [taylor]: Taking taylor expansion of (log n) in k 3.664 * [taylor]: Taking taylor expansion of n in k 3.665 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.665 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.665 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.665 * [taylor]: Taking taylor expansion of 0.25 in n 3.665 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.665 * [taylor]: Taking taylor expansion of 1.0 in n 3.665 * [taylor]: Taking taylor expansion of k in n 3.665 * [taylor]: Taking taylor expansion of (log n) in n 3.665 * [taylor]: Taking taylor expansion of n in n 3.666 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.666 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.666 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.666 * [taylor]: Taking taylor expansion of 0.25 in n 3.666 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.666 * [taylor]: Taking taylor expansion of 1.0 in n 3.666 * [taylor]: Taking taylor expansion of k in n 3.666 * [taylor]: Taking taylor expansion of (log n) in n 3.666 * [taylor]: Taking taylor expansion of n in n 3.667 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.667 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.667 * [taylor]: Taking taylor expansion of 0.25 in k 3.667 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.667 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.667 * [taylor]: Taking taylor expansion of 1.0 in k 3.667 * [taylor]: Taking taylor expansion of k in k 3.667 * [taylor]: Taking taylor expansion of (log n) in k 3.667 * [taylor]: Taking taylor expansion of n in k 3.670 * [taylor]: Taking taylor expansion of 0 in k 3.675 * [taylor]: Taking taylor expansion of 0 in k 3.679 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.679 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.679 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.679 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.679 * [taylor]: Taking taylor expansion of 0.25 in k 3.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.679 * [taylor]: Taking taylor expansion of 1.0 in k 3.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.679 * [taylor]: Taking taylor expansion of k in k 3.680 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.680 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.680 * [taylor]: Taking taylor expansion of n in k 3.681 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.681 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.681 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.681 * [taylor]: Taking taylor expansion of 0.25 in n 3.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.681 * [taylor]: Taking taylor expansion of 1.0 in n 3.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.681 * [taylor]: Taking taylor expansion of k in n 3.681 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.681 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.681 * [taylor]: Taking taylor expansion of n in n 3.682 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.682 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.682 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.682 * [taylor]: Taking taylor expansion of 0.25 in n 3.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.682 * [taylor]: Taking taylor expansion of 1.0 in n 3.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.682 * [taylor]: Taking taylor expansion of k in n 3.682 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.682 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.682 * [taylor]: Taking taylor expansion of n in n 3.683 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.683 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.683 * [taylor]: Taking taylor expansion of -0.25 in k 3.683 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.683 * [taylor]: Taking taylor expansion of (log n) in k 3.683 * [taylor]: Taking taylor expansion of n in k 3.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.683 * [taylor]: Taking taylor expansion of 1.0 in k 3.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.683 * [taylor]: Taking taylor expansion of k in k 3.687 * [taylor]: Taking taylor expansion of 0 in k 3.691 * [taylor]: Taking taylor expansion of 0 in k 3.697 * [taylor]: Taking taylor expansion of 0 in k 3.698 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.698 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.698 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.698 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.698 * [taylor]: Taking taylor expansion of 0.25 in k 3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.698 * [taylor]: Taking taylor expansion of k in k 3.698 * [taylor]: Taking taylor expansion of 1.0 in k 3.698 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.698 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.698 * [taylor]: Taking taylor expansion of -1 in k 3.698 * [taylor]: Taking taylor expansion of n in k 3.699 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.699 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.699 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.699 * [taylor]: Taking taylor expansion of 0.25 in n 3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.699 * [taylor]: Taking taylor expansion of k in n 3.699 * [taylor]: Taking taylor expansion of 1.0 in n 3.699 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.699 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.699 * [taylor]: Taking taylor expansion of -1 in n 3.699 * [taylor]: Taking taylor expansion of n in n 3.701 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.701 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.701 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.701 * [taylor]: Taking taylor expansion of 0.25 in n 3.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.701 * [taylor]: Taking taylor expansion of k in n 3.701 * [taylor]: Taking taylor expansion of 1.0 in n 3.701 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.701 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.701 * [taylor]: Taking taylor expansion of -1 in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.703 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.703 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.703 * [taylor]: Taking taylor expansion of 0.25 in k 3.703 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.703 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.703 * [taylor]: Taking taylor expansion of (log -1) in k 3.703 * [taylor]: Taking taylor expansion of -1 in k 3.703 * [taylor]: Taking taylor expansion of (log n) in k 3.703 * [taylor]: Taking taylor expansion of n in k 3.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.703 * [taylor]: Taking taylor expansion of k in k 3.704 * [taylor]: Taking taylor expansion of 1.0 in k 3.709 * [taylor]: Taking taylor expansion of 0 in k 3.721 * [taylor]: Taking taylor expansion of 0 in k 3.728 * [taylor]: Taking taylor expansion of 0 in k 3.728 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.729 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.729 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.729 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.729 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.729 * [taylor]: Taking taylor expansion of 0.25 in k 3.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.729 * [taylor]: Taking taylor expansion of 1.0 in k 3.729 * [taylor]: Taking taylor expansion of k in k 3.729 * [taylor]: Taking taylor expansion of (log n) in k 3.729 * [taylor]: Taking taylor expansion of n in k 3.730 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.730 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.730 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.730 * [taylor]: Taking taylor expansion of 0.25 in n 3.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.730 * [taylor]: Taking taylor expansion of 1.0 in n 3.730 * [taylor]: Taking taylor expansion of k in n 3.730 * [taylor]: Taking taylor expansion of (log n) in n 3.730 * [taylor]: Taking taylor expansion of n in n 3.730 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.731 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.731 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.731 * [taylor]: Taking taylor expansion of 0.25 in n 3.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.731 * [taylor]: Taking taylor expansion of 1.0 in n 3.731 * [taylor]: Taking taylor expansion of k in n 3.731 * [taylor]: Taking taylor expansion of (log n) in n 3.731 * [taylor]: Taking taylor expansion of n in n 3.731 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.731 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.731 * [taylor]: Taking taylor expansion of 0.25 in k 3.731 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.731 * [taylor]: Taking taylor expansion of 1.0 in k 3.732 * [taylor]: Taking taylor expansion of k in k 3.732 * [taylor]: Taking taylor expansion of (log n) in k 3.732 * [taylor]: Taking taylor expansion of n in k 3.734 * [taylor]: Taking taylor expansion of 0 in k 3.740 * [taylor]: Taking taylor expansion of 0 in k 3.744 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.744 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.744 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.744 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.744 * [taylor]: Taking taylor expansion of 0.25 in k 3.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.744 * [taylor]: Taking taylor expansion of 1.0 in k 3.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.744 * [taylor]: Taking taylor expansion of k in k 3.744 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.744 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.744 * [taylor]: Taking taylor expansion of n in k 3.745 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.745 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.745 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.746 * [taylor]: Taking taylor expansion of 0.25 in n 3.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.746 * [taylor]: Taking taylor expansion of 1.0 in n 3.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.746 * [taylor]: Taking taylor expansion of k in n 3.746 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.746 * [taylor]: Taking taylor expansion of n in n 3.747 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.747 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.747 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.747 * [taylor]: Taking taylor expansion of 0.25 in n 3.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.747 * [taylor]: Taking taylor expansion of 1.0 in n 3.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.747 * [taylor]: Taking taylor expansion of k in n 3.747 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.747 * [taylor]: Taking taylor expansion of n in n 3.748 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.748 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.748 * [taylor]: Taking taylor expansion of -0.25 in k 3.748 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.748 * [taylor]: Taking taylor expansion of (log n) in k 3.748 * [taylor]: Taking taylor expansion of n in k 3.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.748 * [taylor]: Taking taylor expansion of 1.0 in k 3.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.748 * [taylor]: Taking taylor expansion of k in k 3.752 * [taylor]: Taking taylor expansion of 0 in k 3.756 * [taylor]: Taking taylor expansion of 0 in k 3.762 * [taylor]: Taking taylor expansion of 0 in k 3.763 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.763 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.763 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.763 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.763 * [taylor]: Taking taylor expansion of 0.25 in k 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.763 * [taylor]: Taking taylor expansion of k in k 3.763 * [taylor]: Taking taylor expansion of 1.0 in k 3.763 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.763 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.763 * [taylor]: Taking taylor expansion of -1 in k 3.763 * [taylor]: Taking taylor expansion of n in k 3.764 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.764 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.764 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.764 * [taylor]: Taking taylor expansion of 0.25 in n 3.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.764 * [taylor]: Taking taylor expansion of k in n 3.764 * [taylor]: Taking taylor expansion of 1.0 in n 3.764 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.764 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.764 * [taylor]: Taking taylor expansion of -1 in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.766 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.766 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.766 * [taylor]: Taking taylor expansion of 0.25 in n 3.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.766 * [taylor]: Taking taylor expansion of k in n 3.766 * [taylor]: Taking taylor expansion of 1.0 in n 3.766 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.766 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.766 * [taylor]: Taking taylor expansion of -1 in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.768 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.768 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.768 * [taylor]: Taking taylor expansion of 0.25 in k 3.768 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.768 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.768 * [taylor]: Taking taylor expansion of (log -1) in k 3.768 * [taylor]: Taking taylor expansion of -1 in k 3.769 * [taylor]: Taking taylor expansion of (log n) in k 3.769 * [taylor]: Taking taylor expansion of n in k 3.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.769 * [taylor]: Taking taylor expansion of k in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.774 * [taylor]: Taking taylor expansion of 0 in k 3.779 * [taylor]: Taking taylor expansion of 0 in k 3.786 * [taylor]: Taking taylor expansion of 0 in k 3.787 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 3.787 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 3.787 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.787 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.787 * [taylor]: Taking taylor expansion of 0.5 in k 3.787 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.787 * [taylor]: Taking taylor expansion of 1.0 in k 3.787 * [taylor]: Taking taylor expansion of k in k 3.787 * [taylor]: Taking taylor expansion of (log PI) in k 3.787 * [taylor]: Taking taylor expansion of PI in k 3.790 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.790 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.790 * [taylor]: Taking taylor expansion of 0.5 in k 3.790 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.790 * [taylor]: Taking taylor expansion of 1.0 in k 3.790 * [taylor]: Taking taylor expansion of k in k 3.790 * [taylor]: Taking taylor expansion of (log PI) in k 3.790 * [taylor]: Taking taylor expansion of PI in k 3.827 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.827 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.828 * [taylor]: Taking taylor expansion of 0.5 in k 3.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.828 * [taylor]: Taking taylor expansion of 1.0 in k 3.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.828 * [taylor]: Taking taylor expansion of k in k 3.828 * [taylor]: Taking taylor expansion of (log PI) in k 3.828 * [taylor]: Taking taylor expansion of PI in k 3.830 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.830 * [taylor]: Taking taylor expansion of 0.5 in k 3.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.830 * [taylor]: Taking taylor expansion of 1.0 in k 3.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.830 * [taylor]: Taking taylor expansion of k in k 3.830 * [taylor]: Taking taylor expansion of (log PI) in k 3.830 * [taylor]: Taking taylor expansion of PI in k 3.833 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.833 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.833 * [taylor]: Taking taylor expansion of 0.5 in k 3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.833 * [taylor]: Taking taylor expansion of k in k 3.834 * [taylor]: Taking taylor expansion of 1.0 in k 3.834 * [taylor]: Taking taylor expansion of (log PI) in k 3.834 * [taylor]: Taking taylor expansion of PI in k 3.835 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.835 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.835 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.835 * [taylor]: Taking taylor expansion of 0.5 in k 3.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.835 * [taylor]: Taking taylor expansion of k in k 3.836 * [taylor]: Taking taylor expansion of 1.0 in k 3.836 * [taylor]: Taking taylor expansion of (log PI) in k 3.836 * [taylor]: Taking taylor expansion of PI in k 3.839 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.839 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.839 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.839 * [taylor]: Taking taylor expansion of 1.0 in k 3.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.839 * [taylor]: Taking taylor expansion of k in k 3.840 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.840 * [taylor]: Taking taylor expansion of 1.0 in k 3.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.840 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.840 * [taylor]: Taking taylor expansion of k in k 3.852 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.852 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.852 * [taylor]: Taking taylor expansion of 1.0 in k 3.852 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.852 * [taylor]: Taking taylor expansion of k in k 3.853 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.853 * [taylor]: Taking taylor expansion of 1.0 in k 3.853 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.853 * [taylor]: Taking taylor expansion of k in k 3.864 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.864 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.864 * [taylor]: Taking taylor expansion of 1.0 in k 3.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.864 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.864 * [taylor]: Taking taylor expansion of -1 in k 3.864 * [taylor]: Taking taylor expansion of k in k 3.865 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.865 * [taylor]: Taking taylor expansion of 1.0 in k 3.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.865 * [taylor]: Taking taylor expansion of -1 in k 3.866 * [taylor]: Taking taylor expansion of k in k 3.877 * * * [progress]: simplifying candidates 3.881 * [simplify]: Simplifying using # : (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 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)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.898 * * [simplify]: iteration 0 : 884 enodes (cost 1585 ) 3.911 * * [simplify]: iteration 1 : 3409 enodes (cost 1541 ) 3.952 * * [simplify]: iteration 2 : 5001 enodes (cost 1531 ) 3.960 * [simplify]: Simplified to: (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 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))) PI (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))) PI PI (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)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log 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 (pow PI (/ (- 1.0 k) 2.0)) 3) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (fma (* 0.03125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.25) (- (pow n 0.25) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* 0.03125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.25) (- (pow n 0.25) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25))))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* 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))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 3.961 * * * [progress]: adding candidates to table 4.919 * [progress]: [Phase 3 of 3] Extracting. 4.919 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.922 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.922 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 4.954 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 4.977 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.011 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.042 * * * [regime]: Found split indices: #