29.961 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.197 * * * [progress]: [2/2] Setting up program. 0.200 * [progress]: [Phase 2 of 3] Improving. 0.200 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.202 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.203 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.205 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.207 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.212 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.234 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.234 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.235 * * [progress]: iteration 1 / 4 0.235 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.260 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.288 * * * [progress]: generating series expansions 0.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.288 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.288 * [taylor]: Taking taylor expansion of 2.0 in k 0.288 * [taylor]: Taking taylor expansion of (* n PI) in k 0.288 * [taylor]: Taking taylor expansion of n in k 0.288 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (log n) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of 0 in k 0.292 * [taylor]: Taking taylor expansion of 0 in k 0.294 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.294 * [taylor]: Taking taylor expansion of 0.5 in k 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.294 * [taylor]: Taking taylor expansion of 1.0 in k 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.294 * [taylor]: Taking taylor expansion of k in k 0.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.294 * [taylor]: Taking taylor expansion of 2.0 in k 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.294 * [taylor]: Taking taylor expansion of PI in k 0.294 * [taylor]: Taking taylor expansion of n in k 0.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of 2.0 in n 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.296 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.296 * [taylor]: Taking taylor expansion of PI in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.296 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.296 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.296 * [taylor]: Taking taylor expansion of 2.0 in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.296 * [taylor]: Taking taylor expansion of (log n) in k 0.296 * [taylor]: Taking taylor expansion of n in k 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of 0 in k 0.298 * [taylor]: Taking taylor expansion of 0 in k 0.299 * [taylor]: Taking taylor expansion of 0 in k 0.299 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.299 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.300 * [taylor]: Taking taylor expansion of -2.0 in k 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.300 * [taylor]: Taking taylor expansion of 0.5 in n 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.300 * [taylor]: Taking taylor expansion of k in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.300 * [taylor]: Taking taylor expansion of -2.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.301 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.301 * [taylor]: Taking taylor expansion of 0.5 in n 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.301 * [taylor]: Taking taylor expansion of k in n 0.301 * [taylor]: Taking taylor expansion of 1.0 in n 0.301 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.301 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.301 * [taylor]: Taking taylor expansion of -2.0 in n 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.301 * [taylor]: Taking taylor expansion of PI in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.301 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.301 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.301 * [taylor]: Taking taylor expansion of -2.0 in k 0.302 * [taylor]: Taking taylor expansion of PI in k 0.302 * [taylor]: Taking taylor expansion of (log n) in k 0.302 * [taylor]: Taking taylor expansion of n in k 0.302 * [taylor]: Taking taylor expansion of 0 in k 0.303 * [taylor]: Taking taylor expansion of 0 in k 0.304 * [taylor]: Taking taylor expansion of 0 in k 0.304 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.305 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.305 * [taylor]: Taking taylor expansion of 2.0 in n 0.305 * [taylor]: Taking taylor expansion of (* n PI) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.305 * [taylor]: Taking taylor expansion of 2.0 in n 0.305 * [taylor]: Taking taylor expansion of (* n PI) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.306 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.306 * [taylor]: Taking taylor expansion of 2.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.306 * [taylor]: Taking taylor expansion of 2.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.307 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.307 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.308 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.308 * [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 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [taylor]: Taking taylor expansion of (* n PI) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.309 * [taylor]: Taking taylor expansion of 0.5 in k 0.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.309 * [taylor]: Taking taylor expansion of 2.0 in k 0.309 * [taylor]: Taking taylor expansion of (* n PI) in k 0.309 * [taylor]: Taking taylor expansion of n in k 0.309 * [taylor]: Taking taylor expansion of PI in k 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.309 * [taylor]: Taking taylor expansion of 0.5 in k 0.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of (* n PI) in k 0.310 * [taylor]: Taking taylor expansion of n in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.310 * [taylor]: Taking taylor expansion of 0 in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.311 * [taylor]: Taking taylor expansion of NAN in n 0.311 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.311 * [taylor]: Taking taylor expansion of 0.5 in n 0.311 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.311 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.311 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log PI) in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log n) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.312 * [taylor]: Taking taylor expansion of 2.0 in n 0.315 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.315 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.316 * [taylor]: Taking taylor expansion of 0.5 in n 0.316 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.316 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.316 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.316 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.316 * [taylor]: Taking taylor expansion of 2.0 in n 0.316 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.316 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.316 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of (log n) in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.316 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of (log PI) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.317 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.317 * [taylor]: Taking taylor expansion of NAN in n 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.317 * [taylor]: Taking taylor expansion of 0.5 in n 0.317 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.317 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.317 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.317 * [taylor]: Taking taylor expansion of 2.0 in n 0.317 * [taylor]: Taking taylor expansion of (* n PI) in n 0.317 * [taylor]: Taking taylor expansion of n in n 0.317 * [taylor]: Taking taylor expansion of PI in n 0.317 * [taylor]: Taking taylor expansion of NAN in n 0.317 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.317 * [taylor]: Taking taylor expansion of 0.5 in n 0.317 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.317 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.317 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.317 * [taylor]: Taking taylor expansion of 1.0 in n 0.317 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.317 * [taylor]: Taking taylor expansion of 2.0 in n 0.318 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.318 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of (log n) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of (log PI) in n 0.318 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.329 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.329 * [taylor]: Taking taylor expansion of 0.125 in n 0.329 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.329 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.329 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.329 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.329 * [taylor]: Taking taylor expansion of 2.0 in n 0.329 * [taylor]: Taking taylor expansion of (* n PI) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of NAN in n 0.329 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.329 * [taylor]: Taking taylor expansion of 0.5 in n 0.329 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.329 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.329 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.329 * [taylor]: Taking taylor expansion of 2.0 in n 0.329 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.329 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log n) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.330 * [taylor]: Taking taylor expansion of 1.0 in n 0.330 * [taylor]: Taking taylor expansion of (log PI) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.330 * [taylor]: Taking taylor expansion of 1.0 in n 0.330 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.330 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.331 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.331 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.331 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (log n) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (log PI) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.332 * [taylor]: Taking taylor expansion of NAN in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.332 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (* n PI) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.332 * [taylor]: Taking taylor expansion of NAN in n 0.332 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.332 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.333 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (log n) in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (log PI) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.347 * [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 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.347 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.347 * [taylor]: Taking taylor expansion of k in n 0.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.348 * [taylor]: Taking taylor expansion of k in n 0.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.348 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.348 * [taylor]: Taking taylor expansion of 0.5 in k 0.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.348 * [taylor]: Taking taylor expansion of 2.0 in k 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.348 * [taylor]: Taking taylor expansion of PI in k 0.349 * [taylor]: Taking taylor expansion of n in k 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.349 * [taylor]: Taking taylor expansion of 1.0 in k 0.349 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.349 * [taylor]: Taking taylor expansion of k in k 0.349 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.349 * [taylor]: Taking taylor expansion of 0.5 in k 0.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.349 * [taylor]: Taking taylor expansion of 1.0 in k 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.349 * [taylor]: Taking taylor expansion of k in k 0.349 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.349 * [taylor]: Taking taylor expansion of 2.0 in k 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.349 * [taylor]: Taking taylor expansion of PI in k 0.349 * [taylor]: Taking taylor expansion of n in k 0.349 * [taylor]: Taking taylor expansion of 0 in n 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.350 * [taylor]: Taking taylor expansion of NAN in n 0.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.350 * [taylor]: Taking taylor expansion of 0.5 in n 0.350 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.350 * [taylor]: Taking taylor expansion of 2.0 in n 0.350 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.350 * [taylor]: Taking taylor expansion of PI in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.350 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.351 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.351 * [taylor]: Taking taylor expansion of NAN in n 0.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.352 * [taylor]: Taking taylor expansion of 0.5 in n 0.352 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.352 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.352 * [taylor]: Taking taylor expansion of 2.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.352 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.354 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.354 * [taylor]: Taking taylor expansion of NAN in n 0.354 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.354 * [taylor]: Taking taylor expansion of 2.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.355 * [taylor]: Taking taylor expansion of 1.0 in n 0.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.355 * [taylor]: Taking taylor expansion of k in n 0.356 * [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 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.357 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.357 * [taylor]: Taking taylor expansion of k in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.357 * [taylor]: Taking taylor expansion of -2.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.357 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.357 * [taylor]: Taking taylor expansion of -1 in n 0.360 * [taylor]: Taking taylor expansion of k in n 0.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.360 * [taylor]: Taking taylor expansion of 1.0 in k 0.360 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.360 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.360 * [taylor]: Taking taylor expansion of 0.5 in k 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.361 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.361 * [taylor]: Taking taylor expansion of -2.0 in k 0.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.361 * [taylor]: Taking taylor expansion of PI in k 0.361 * [taylor]: Taking taylor expansion of n in k 0.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.361 * [taylor]: Taking taylor expansion of -1 in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.361 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.361 * [taylor]: Taking taylor expansion of 0.5 in k 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.361 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.361 * [taylor]: Taking taylor expansion of -2.0 in k 0.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.361 * [taylor]: Taking taylor expansion of PI in k 0.361 * [taylor]: Taking taylor expansion of n in k 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.362 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.362 * [taylor]: Taking taylor expansion of -1 in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.362 * [taylor]: Taking taylor expansion of 0.5 in n 0.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.362 * [taylor]: Taking taylor expansion of k in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.362 * [taylor]: Taking taylor expansion of -2.0 in n 0.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.362 * [taylor]: Taking taylor expansion of PI in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.363 * [taylor]: Taking taylor expansion of NAN in n 0.364 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.364 * [taylor]: Taking taylor expansion of 0.5 in n 0.364 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.364 * [taylor]: Taking taylor expansion of k in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.364 * [taylor]: Taking taylor expansion of -2.0 in n 0.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.364 * [taylor]: Taking taylor expansion of PI in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.364 * [taylor]: Taking taylor expansion of NAN in n 0.366 * [taylor]: Taking taylor expansion of 0 in n 0.369 * [taylor]: Taking taylor expansion of 0 in n 0.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.370 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.370 * [taylor]: Taking taylor expansion of 1.0 in k 0.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.370 * [taylor]: Taking taylor expansion of k in k 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.370 * [taylor]: Taking taylor expansion of 1.0 in k 0.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.370 * [taylor]: Taking taylor expansion of k in k 0.371 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.371 * [taylor]: Taking taylor expansion of 1.0 in k 0.371 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.371 * [taylor]: Taking taylor expansion of k in k 0.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.371 * [taylor]: Taking taylor expansion of 1.0 in k 0.371 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.371 * [taylor]: Taking taylor expansion of k in k 0.372 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.372 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.372 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.372 * [taylor]: Taking taylor expansion of -1 in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.372 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.373 * [taylor]: Taking taylor expansion of -1 in k 0.373 * [taylor]: Taking taylor expansion of k in k 0.377 * * * [progress]: simplifying candidates 0.380 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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(* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) 0.390 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.406 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 0.471 * * [simplify]: iteration 2 : 5002 enodes (cost 1352 ) 0.478 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 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 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(pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) 0.479 * * * [progress]: adding candidates to table 0.754 * * [progress]: iteration 2 / 4 0.754 * * * [progress]: picking best candidate 0.799 * * * * [pick]: Picked # 0.799 * * * [progress]: localizing error 0.816 * * * [progress]: generating rewritten candidates 0.816 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.840 * * * [progress]: generating series expansions 0.840 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.841 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.841 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.841 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.841 * [taylor]: Taking taylor expansion of 0.5 in n 0.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.841 * [taylor]: Taking taylor expansion of 2.0 in n 0.841 * [taylor]: Taking taylor expansion of (* n PI) in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [taylor]: Taking taylor expansion of PI in n 0.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.841 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.841 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.841 * [taylor]: Taking taylor expansion of 0.5 in n 0.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.841 * [taylor]: Taking taylor expansion of 2.0 in n 0.841 * [taylor]: Taking taylor expansion of (* n PI) in n 0.841 * [taylor]: Taking taylor expansion of n in n 0.841 * [taylor]: Taking taylor expansion of PI in n 0.849 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 0.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.849 * [taylor]: Taking taylor expansion of 0.5 in n 0.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.849 * [taylor]: Taking taylor expansion of 2.0 in n 0.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.849 * [taylor]: Taking taylor expansion of PI in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.849 * [taylor]: Taking taylor expansion of 0.5 in n 0.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.849 * [taylor]: Taking taylor expansion of 2.0 in n 0.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.849 * [taylor]: Taking taylor expansion of PI in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.856 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 0.856 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.857 * [taylor]: Taking taylor expansion of 0.5 in n 0.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of -2.0 in n 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.857 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.857 * [taylor]: Taking taylor expansion of 0.5 in n 0.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.857 * [taylor]: Taking taylor expansion of -2.0 in n 0.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of n in n 0.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.866 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.866 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.866 * [taylor]: Taking taylor expansion of 2.0 in n 0.866 * [taylor]: Taking taylor expansion of (* n PI) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of PI in n 0.866 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.866 * [taylor]: Taking taylor expansion of 2.0 in n 0.866 * [taylor]: Taking taylor expansion of (* n PI) in n 0.866 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of PI in n 0.867 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.867 * [taylor]: Taking taylor expansion of 2.0 in n 0.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.867 * [taylor]: Taking taylor expansion of PI in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.867 * [taylor]: Taking taylor expansion of 2.0 in n 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.868 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.868 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.868 * [taylor]: Taking taylor expansion of -2.0 in n 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.869 * [taylor]: Taking taylor expansion of n in n 0.869 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.869 * [taylor]: Taking taylor expansion of -2.0 in n 0.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.869 * [taylor]: Taking taylor expansion of PI in n 0.869 * [taylor]: Taking taylor expansion of n in n 0.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.870 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.870 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.870 * [taylor]: Taking taylor expansion of 2.0 in n 0.870 * [taylor]: Taking taylor expansion of (* n PI) in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.870 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.870 * [taylor]: Taking taylor expansion of 2.0 in n 0.870 * [taylor]: Taking taylor expansion of (* n PI) in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.871 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of 2.0 in n 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.871 * [taylor]: Taking taylor expansion of 2.0 in n 0.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.871 * [taylor]: Taking taylor expansion of PI in n 0.871 * [taylor]: Taking taylor expansion of n in n 0.872 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.872 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.872 * [taylor]: Taking taylor expansion of -2.0 in n 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.872 * [taylor]: Taking taylor expansion of -2.0 in n 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.873 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.873 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 0.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.873 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.873 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.873 * [taylor]: Taking taylor expansion of 0.5 in k 0.873 * [taylor]: Taking taylor expansion of k in k 0.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.873 * [taylor]: Taking taylor expansion of 2.0 in k 0.873 * [taylor]: Taking taylor expansion of (* n PI) in k 0.873 * [taylor]: Taking taylor expansion of n in k 0.873 * [taylor]: Taking taylor expansion of PI in k 0.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.874 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.874 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.874 * [taylor]: Taking taylor expansion of 0.5 in n 0.874 * [taylor]: Taking taylor expansion of k in n 0.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.874 * [taylor]: Taking taylor expansion of 2.0 in n 0.874 * [taylor]: Taking taylor expansion of (* n PI) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.874 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.874 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.874 * [taylor]: Taking taylor expansion of 0.5 in n 0.874 * [taylor]: Taking taylor expansion of k in n 0.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.874 * [taylor]: Taking taylor expansion of 2.0 in n 0.874 * [taylor]: Taking taylor expansion of (* n PI) in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [taylor]: Taking taylor expansion of PI in n 0.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.875 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.875 * [taylor]: Taking taylor expansion of 0.5 in k 0.875 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.875 * [taylor]: Taking taylor expansion of k in k 0.875 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.875 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.875 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.875 * [taylor]: Taking taylor expansion of 2.0 in k 0.875 * [taylor]: Taking taylor expansion of PI in k 0.875 * [taylor]: Taking taylor expansion of (log n) in k 0.875 * [taylor]: Taking taylor expansion of n in k 0.876 * [taylor]: Taking taylor expansion of 0 in k 0.877 * [taylor]: Taking taylor expansion of 0 in k 0.878 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 0.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.878 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.878 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.878 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.878 * [taylor]: Taking taylor expansion of 0.5 in k 0.878 * [taylor]: Taking taylor expansion of k in k 0.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.878 * [taylor]: Taking taylor expansion of 2.0 in k 0.878 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.878 * [taylor]: Taking taylor expansion of PI in k 0.878 * [taylor]: Taking taylor expansion of n in k 0.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.879 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.879 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.879 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.879 * [taylor]: Taking taylor expansion of 0.5 in n 0.879 * [taylor]: Taking taylor expansion of k in n 0.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.879 * [taylor]: Taking taylor expansion of 2.0 in n 0.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.879 * [taylor]: Taking taylor expansion of PI in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.879 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.879 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.879 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.879 * [taylor]: Taking taylor expansion of 0.5 in n 0.879 * [taylor]: Taking taylor expansion of k in n 0.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.879 * [taylor]: Taking taylor expansion of 2.0 in n 0.879 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.879 * [taylor]: Taking taylor expansion of PI in n 0.879 * [taylor]: Taking taylor expansion of n in n 0.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.880 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.880 * [taylor]: Taking taylor expansion of 0.5 in k 0.880 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.880 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.880 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.880 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.880 * [taylor]: Taking taylor expansion of 2.0 in k 0.880 * [taylor]: Taking taylor expansion of PI in k 0.880 * [taylor]: Taking taylor expansion of (log n) in k 0.880 * [taylor]: Taking taylor expansion of n in k 0.880 * [taylor]: Taking taylor expansion of k in k 0.881 * [taylor]: Taking taylor expansion of 0 in k 0.881 * [taylor]: Taking taylor expansion of 0 in k 0.882 * [taylor]: Taking taylor expansion of 0 in k 0.882 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 0.882 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.882 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.882 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.882 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.882 * [taylor]: Taking taylor expansion of -0.5 in k 0.882 * [taylor]: Taking taylor expansion of k in k 0.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.883 * [taylor]: Taking taylor expansion of -2.0 in k 0.883 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.883 * [taylor]: Taking taylor expansion of PI in k 0.883 * [taylor]: Taking taylor expansion of n in k 0.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.883 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.883 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.883 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.883 * [taylor]: Taking taylor expansion of -0.5 in n 0.883 * [taylor]: Taking taylor expansion of k in n 0.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.883 * [taylor]: Taking taylor expansion of -2.0 in n 0.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.883 * [taylor]: Taking taylor expansion of PI in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.883 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.883 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.883 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.883 * [taylor]: Taking taylor expansion of -0.5 in n 0.883 * [taylor]: Taking taylor expansion of k in n 0.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.883 * [taylor]: Taking taylor expansion of -2.0 in n 0.883 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.883 * [taylor]: Taking taylor expansion of PI in n 0.883 * [taylor]: Taking taylor expansion of n in n 0.884 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.884 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.884 * [taylor]: Taking taylor expansion of -0.5 in k 0.884 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.884 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.884 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.884 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.884 * [taylor]: Taking taylor expansion of -2.0 in k 0.884 * [taylor]: Taking taylor expansion of PI in k 0.884 * [taylor]: Taking taylor expansion of (log n) in k 0.884 * [taylor]: Taking taylor expansion of n in k 0.884 * [taylor]: Taking taylor expansion of k in k 0.885 * [taylor]: Taking taylor expansion of 0 in k 0.885 * [taylor]: Taking taylor expansion of 0 in k 0.886 * [taylor]: Taking taylor expansion of 0 in k 0.887 * * * [progress]: simplifying candidates 0.888 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.893 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 0.900 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 0.930 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 0.934 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.934 * * * [progress]: adding candidates to table 1.091 * * [progress]: iteration 3 / 4 1.091 * * * [progress]: picking best candidate 1.133 * * * * [pick]: Picked # 1.133 * * * [progress]: localizing error 1.156 * * * [progress]: generating rewritten candidates 1.156 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 1.167 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 1.180 * * * [progress]: generating series expansions 1.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.180 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.180 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.180 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.180 * [taylor]: Taking taylor expansion of 0.5 in n 1.180 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.180 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.180 * [taylor]: Taking taylor expansion of 2.0 in n 1.180 * [taylor]: Taking taylor expansion of (* n PI) in n 1.180 * [taylor]: Taking taylor expansion of n in n 1.180 * [taylor]: Taking taylor expansion of PI in n 1.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.181 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.181 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.181 * [taylor]: Taking taylor expansion of 0.5 in n 1.181 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.181 * [taylor]: Taking taylor expansion of 2.0 in n 1.181 * [taylor]: Taking taylor expansion of (* n PI) in n 1.181 * [taylor]: Taking taylor expansion of n in n 1.181 * [taylor]: Taking taylor expansion of PI in n 1.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.188 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.188 * [taylor]: Taking taylor expansion of 0.5 in n 1.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.188 * [taylor]: Taking taylor expansion of 2.0 in n 1.188 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.188 * [taylor]: Taking taylor expansion of PI in n 1.188 * [taylor]: Taking taylor expansion of n in n 1.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.189 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.189 * [taylor]: Taking taylor expansion of 0.5 in n 1.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.189 * [taylor]: Taking taylor expansion of 2.0 in n 1.189 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.189 * [taylor]: Taking taylor expansion of PI in n 1.189 * [taylor]: Taking taylor expansion of n in n 1.196 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.196 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.197 * [taylor]: Taking taylor expansion of 0.5 in n 1.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.197 * [taylor]: Taking taylor expansion of -2.0 in n 1.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.197 * [taylor]: Taking taylor expansion of PI in n 1.197 * [taylor]: Taking taylor expansion of n in n 1.197 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.197 * [taylor]: Taking taylor expansion of 0.5 in n 1.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.197 * [taylor]: Taking taylor expansion of -2.0 in n 1.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.197 * [taylor]: Taking taylor expansion of PI in n 1.197 * [taylor]: Taking taylor expansion of n in n 1.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 1.204 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.204 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.204 * [taylor]: Taking taylor expansion of 2.0 in n 1.204 * [taylor]: Taking taylor expansion of (* n PI) in n 1.205 * [taylor]: Taking taylor expansion of n in n 1.205 * [taylor]: Taking taylor expansion of PI in n 1.205 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.205 * [taylor]: Taking taylor expansion of 2.0 in n 1.205 * [taylor]: Taking taylor expansion of (* n PI) in n 1.205 * [taylor]: Taking taylor expansion of n in n 1.205 * [taylor]: Taking taylor expansion of PI in n 1.205 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.205 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.206 * [taylor]: Taking taylor expansion of 2.0 in n 1.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.206 * [taylor]: Taking taylor expansion of PI in n 1.206 * [taylor]: Taking taylor expansion of n in n 1.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.206 * [taylor]: Taking taylor expansion of 2.0 in n 1.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.206 * [taylor]: Taking taylor expansion of PI in n 1.206 * [taylor]: Taking taylor expansion of n in n 1.207 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.207 * [taylor]: Taking taylor expansion of -2.0 in n 1.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.207 * [taylor]: Taking taylor expansion of PI in n 1.207 * [taylor]: Taking taylor expansion of n in n 1.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.207 * [taylor]: Taking taylor expansion of -2.0 in n 1.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.207 * [taylor]: Taking taylor expansion of PI in n 1.207 * [taylor]: Taking taylor expansion of n in n 1.208 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.208 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.208 * [taylor]: Taking taylor expansion of 2.0 in n 1.208 * [taylor]: Taking taylor expansion of (* n PI) in n 1.208 * [taylor]: Taking taylor expansion of n in n 1.208 * [taylor]: Taking taylor expansion of PI in n 1.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.208 * [taylor]: Taking taylor expansion of 2.0 in n 1.208 * [taylor]: Taking taylor expansion of (* n PI) in n 1.208 * [taylor]: Taking taylor expansion of n in n 1.208 * [taylor]: Taking taylor expansion of PI in n 1.209 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.209 * [taylor]: Taking taylor expansion of 2.0 in n 1.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.209 * [taylor]: Taking taylor expansion of PI in n 1.209 * [taylor]: Taking taylor expansion of n in n 1.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.209 * [taylor]: Taking taylor expansion of 2.0 in n 1.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.209 * [taylor]: Taking taylor expansion of PI in n 1.209 * [taylor]: Taking taylor expansion of n in n 1.210 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.210 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.210 * [taylor]: Taking taylor expansion of -2.0 in n 1.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.210 * [taylor]: Taking taylor expansion of PI in n 1.210 * [taylor]: Taking taylor expansion of n in n 1.210 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.210 * [taylor]: Taking taylor expansion of -2.0 in n 1.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.210 * [taylor]: Taking taylor expansion of PI in n 1.210 * [taylor]: Taking taylor expansion of n in n 1.211 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 1.211 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.211 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.211 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.211 * [taylor]: Taking taylor expansion of 0.5 in k 1.211 * [taylor]: Taking taylor expansion of k in k 1.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.211 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.211 * [taylor]: Taking taylor expansion of 2.0 in k 1.211 * [taylor]: Taking taylor expansion of (* n PI) in k 1.211 * [taylor]: Taking taylor expansion of n in k 1.211 * [taylor]: Taking taylor expansion of PI in k 1.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.211 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.212 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.212 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.212 * [taylor]: Taking taylor expansion of 0.5 in n 1.212 * [taylor]: Taking taylor expansion of k in n 1.212 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.212 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.212 * [taylor]: Taking taylor expansion of 2.0 in n 1.212 * [taylor]: Taking taylor expansion of (* n PI) in n 1.212 * [taylor]: Taking taylor expansion of n in n 1.212 * [taylor]: Taking taylor expansion of PI in n 1.212 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.212 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.212 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.212 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.212 * [taylor]: Taking taylor expansion of 0.5 in n 1.212 * [taylor]: Taking taylor expansion of k in n 1.212 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.212 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.212 * [taylor]: Taking taylor expansion of 2.0 in n 1.212 * [taylor]: Taking taylor expansion of (* n PI) in n 1.212 * [taylor]: Taking taylor expansion of n in n 1.212 * [taylor]: Taking taylor expansion of PI in n 1.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.212 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.212 * [taylor]: Taking taylor expansion of 0.5 in k 1.213 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.213 * [taylor]: Taking taylor expansion of k in k 1.213 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.213 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.213 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.213 * [taylor]: Taking taylor expansion of 2.0 in k 1.213 * [taylor]: Taking taylor expansion of PI in k 1.213 * [taylor]: Taking taylor expansion of (log n) in k 1.213 * [taylor]: Taking taylor expansion of n in k 1.214 * [taylor]: Taking taylor expansion of 0 in k 1.214 * [taylor]: Taking taylor expansion of 0 in k 1.216 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.216 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.216 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.216 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.216 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.216 * [taylor]: Taking taylor expansion of 0.5 in k 1.216 * [taylor]: Taking taylor expansion of k in k 1.216 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.216 * [taylor]: Taking taylor expansion of 2.0 in k 1.216 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.216 * [taylor]: Taking taylor expansion of PI in k 1.216 * [taylor]: Taking taylor expansion of n in k 1.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.217 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.217 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.217 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.217 * [taylor]: Taking taylor expansion of 0.5 in n 1.217 * [taylor]: Taking taylor expansion of k in n 1.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.217 * [taylor]: Taking taylor expansion of 2.0 in n 1.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.217 * [taylor]: Taking taylor expansion of PI in n 1.217 * [taylor]: Taking taylor expansion of n in n 1.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.217 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.217 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.217 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.217 * [taylor]: Taking taylor expansion of 0.5 in n 1.217 * [taylor]: Taking taylor expansion of k in n 1.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.217 * [taylor]: Taking taylor expansion of 2.0 in n 1.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.217 * [taylor]: Taking taylor expansion of PI in n 1.217 * [taylor]: Taking taylor expansion of n in n 1.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.217 * [taylor]: Taking taylor expansion of 0.5 in k 1.218 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.218 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.218 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.218 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.218 * [taylor]: Taking taylor expansion of 2.0 in k 1.218 * [taylor]: Taking taylor expansion of PI in k 1.218 * [taylor]: Taking taylor expansion of (log n) in k 1.218 * [taylor]: Taking taylor expansion of n in k 1.218 * [taylor]: Taking taylor expansion of k in k 1.218 * [taylor]: Taking taylor expansion of 0 in k 1.219 * [taylor]: Taking taylor expansion of 0 in k 1.220 * [taylor]: Taking taylor expansion of 0 in k 1.220 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.220 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.220 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.220 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.220 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.220 * [taylor]: Taking taylor expansion of -0.5 in k 1.220 * [taylor]: Taking taylor expansion of k in k 1.220 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.221 * [taylor]: Taking taylor expansion of -2.0 in k 1.221 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.221 * [taylor]: Taking taylor expansion of PI in k 1.221 * [taylor]: Taking taylor expansion of n in k 1.221 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.221 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.221 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.221 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.221 * [taylor]: Taking taylor expansion of -0.5 in n 1.221 * [taylor]: Taking taylor expansion of k in n 1.221 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.221 * [taylor]: Taking taylor expansion of -2.0 in n 1.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.221 * [taylor]: Taking taylor expansion of PI in n 1.221 * [taylor]: Taking taylor expansion of n in n 1.221 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.221 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.221 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.221 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.221 * [taylor]: Taking taylor expansion of -0.5 in n 1.221 * [taylor]: Taking taylor expansion of k in n 1.221 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.221 * [taylor]: Taking taylor expansion of -2.0 in n 1.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.221 * [taylor]: Taking taylor expansion of PI in n 1.221 * [taylor]: Taking taylor expansion of n in n 1.222 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.222 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.222 * [taylor]: Taking taylor expansion of -0.5 in k 1.222 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.222 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.222 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.222 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.222 * [taylor]: Taking taylor expansion of -2.0 in k 1.222 * [taylor]: Taking taylor expansion of PI in k 1.222 * [taylor]: Taking taylor expansion of (log n) in k 1.222 * [taylor]: Taking taylor expansion of n in k 1.222 * [taylor]: Taking taylor expansion of k in k 1.223 * [taylor]: Taking taylor expansion of 0 in k 1.223 * [taylor]: Taking taylor expansion of 0 in k 1.224 * [taylor]: Taking taylor expansion of 0 in k 1.225 * * * [progress]: simplifying candidates 1.226 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.234 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.241 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.271 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.274 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.274 * * * [progress]: adding candidates to table 1.470 * * [progress]: iteration 4 / 4 1.470 * * * [progress]: picking best candidate 1.512 * * * * [pick]: Picked # 1.512 * * * [progress]: localizing error 1.530 * * * [progress]: generating rewritten candidates 1.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.541 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.546 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.555 * * * [progress]: generating series expansions 1.555 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.555 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.555 * [taylor]: Taking taylor expansion of 0.5 in n 1.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.555 * [taylor]: Taking taylor expansion of (* n PI) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [taylor]: Taking taylor expansion of PI in n 1.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.556 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.556 * [taylor]: Taking taylor expansion of 0.5 in n 1.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.556 * [taylor]: Taking taylor expansion of 2.0 in n 1.556 * [taylor]: Taking taylor expansion of (* n PI) in n 1.556 * [taylor]: Taking taylor expansion of n in n 1.556 * [taylor]: Taking taylor expansion of PI in n 1.563 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.563 * [taylor]: Taking taylor expansion of 0.5 in n 1.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.563 * [taylor]: Taking taylor expansion of 2.0 in n 1.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.564 * [taylor]: Taking taylor expansion of 0.5 in n 1.564 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.564 * [taylor]: Taking taylor expansion of 2.0 in n 1.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.564 * [taylor]: Taking taylor expansion of PI in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.571 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.571 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.571 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.571 * [taylor]: Taking taylor expansion of 0.5 in n 1.571 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.571 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.571 * [taylor]: Taking taylor expansion of -2.0 in n 1.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.571 * [taylor]: Taking taylor expansion of PI in n 1.571 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.572 * [taylor]: Taking taylor expansion of 0.5 in n 1.572 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.572 * [taylor]: Taking taylor expansion of -2.0 in n 1.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.572 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.579 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.579 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.579 * [taylor]: Taking taylor expansion of 2.0 in n 1.579 * [taylor]: Taking taylor expansion of (* n PI) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of PI in n 1.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.579 * [taylor]: Taking taylor expansion of 2.0 in n 1.579 * [taylor]: Taking taylor expansion of (* n PI) in n 1.579 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of PI in n 1.580 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.580 * [taylor]: Taking taylor expansion of 2.0 in n 1.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.580 * [taylor]: Taking taylor expansion of PI in n 1.580 * [taylor]: Taking taylor expansion of n in n 1.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.581 * [taylor]: Taking taylor expansion of 2.0 in n 1.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.581 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.581 * [taylor]: Taking taylor expansion of -2.0 in n 1.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.582 * [taylor]: Taking taylor expansion of n in n 1.582 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.582 * [taylor]: Taking taylor expansion of -2.0 in n 1.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.582 * [taylor]: Taking taylor expansion of PI in n 1.582 * [taylor]: Taking taylor expansion of n in n 1.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.583 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.583 * [taylor]: Taking taylor expansion of 2.0 in n 1.583 * [taylor]: Taking taylor expansion of (* n PI) in n 1.583 * [taylor]: Taking taylor expansion of n in n 1.583 * [taylor]: Taking taylor expansion of PI in n 1.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.583 * [taylor]: Taking taylor expansion of 2.0 in n 1.583 * [taylor]: Taking taylor expansion of (* n PI) in n 1.583 * [taylor]: Taking taylor expansion of n in n 1.583 * [taylor]: Taking taylor expansion of PI in n 1.584 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.584 * [taylor]: Taking taylor expansion of 2.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.584 * [taylor]: Taking taylor expansion of 2.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.585 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.585 * [taylor]: Taking taylor expansion of -2.0 in n 1.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.585 * [taylor]: Taking taylor expansion of PI in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.585 * [taylor]: Taking taylor expansion of -2.0 in n 1.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.585 * [taylor]: Taking taylor expansion of PI in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.586 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.586 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.586 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.586 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.586 * [taylor]: Taking taylor expansion of 0.5 in k 1.586 * [taylor]: Taking taylor expansion of k in k 1.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.586 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.586 * [taylor]: Taking taylor expansion of 2.0 in k 1.586 * [taylor]: Taking taylor expansion of (* n PI) in k 1.586 * [taylor]: Taking taylor expansion of n in k 1.586 * [taylor]: Taking taylor expansion of PI in k 1.586 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.586 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.586 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.586 * [taylor]: Taking taylor expansion of 0.5 in n 1.586 * [taylor]: Taking taylor expansion of k in n 1.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.586 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.586 * [taylor]: Taking taylor expansion of 2.0 in n 1.587 * [taylor]: Taking taylor expansion of (* n PI) in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.587 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.587 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.587 * [taylor]: Taking taylor expansion of 0.5 in n 1.587 * [taylor]: Taking taylor expansion of k in n 1.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.587 * [taylor]: Taking taylor expansion of 2.0 in n 1.587 * [taylor]: Taking taylor expansion of (* n PI) in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.587 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.587 * [taylor]: Taking taylor expansion of 0.5 in k 1.587 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.587 * [taylor]: Taking taylor expansion of k in k 1.587 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.587 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.587 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.587 * [taylor]: Taking taylor expansion of 2.0 in k 1.587 * [taylor]: Taking taylor expansion of PI in k 1.588 * [taylor]: Taking taylor expansion of (log n) in k 1.588 * [taylor]: Taking taylor expansion of n in k 1.588 * [taylor]: Taking taylor expansion of 0 in k 1.589 * [taylor]: Taking taylor expansion of 0 in k 1.593 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.593 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.593 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.593 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.593 * [taylor]: Taking taylor expansion of 0.5 in k 1.593 * [taylor]: Taking taylor expansion of k in k 1.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.593 * [taylor]: Taking taylor expansion of 2.0 in k 1.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.593 * [taylor]: Taking taylor expansion of PI in k 1.593 * [taylor]: Taking taylor expansion of n in k 1.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.593 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.593 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.593 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.593 * [taylor]: Taking taylor expansion of 0.5 in n 1.593 * [taylor]: Taking taylor expansion of k in n 1.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.594 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.594 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.594 * [taylor]: Taking taylor expansion of 0.5 in n 1.594 * [taylor]: Taking taylor expansion of k in n 1.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.594 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.594 * [taylor]: Taking taylor expansion of 0.5 in k 1.594 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.594 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.594 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.594 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.594 * [taylor]: Taking taylor expansion of 2.0 in k 1.594 * [taylor]: Taking taylor expansion of PI in k 1.595 * [taylor]: Taking taylor expansion of (log n) in k 1.595 * [taylor]: Taking taylor expansion of n in k 1.595 * [taylor]: Taking taylor expansion of k in k 1.595 * [taylor]: Taking taylor expansion of 0 in k 1.596 * [taylor]: Taking taylor expansion of 0 in k 1.597 * [taylor]: Taking taylor expansion of 0 in k 1.597 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.597 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.597 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.597 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.597 * [taylor]: Taking taylor expansion of -0.5 in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.597 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.597 * [taylor]: Taking taylor expansion of -2.0 in k 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.597 * [taylor]: Taking taylor expansion of PI in k 1.597 * [taylor]: Taking taylor expansion of n in k 1.598 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.598 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.598 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.598 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.598 * [taylor]: Taking taylor expansion of -0.5 in n 1.598 * [taylor]: Taking taylor expansion of k in n 1.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.598 * [taylor]: Taking taylor expansion of -2.0 in n 1.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.598 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.598 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.598 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.598 * [taylor]: Taking taylor expansion of -0.5 in n 1.598 * [taylor]: Taking taylor expansion of k in n 1.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.598 * [taylor]: Taking taylor expansion of -2.0 in n 1.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.599 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.599 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.599 * [taylor]: Taking taylor expansion of -0.5 in k 1.599 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.599 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.599 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.599 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.599 * [taylor]: Taking taylor expansion of -2.0 in k 1.599 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (log n) in k 1.599 * [taylor]: Taking taylor expansion of n in k 1.599 * [taylor]: Taking taylor expansion of k in k 1.600 * [taylor]: Taking taylor expansion of 0 in k 1.600 * [taylor]: Taking taylor expansion of 0 in k 1.601 * [taylor]: Taking taylor expansion of 0 in k 1.601 * * * [progress]: simplifying candidates 1.603 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.608 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.615 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.645 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.648 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.648 * * * [progress]: adding candidates to table 1.815 * [progress]: [Phase 3 of 3] Extracting. 1.815 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.818 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 1.818 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 1.895 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 1.973 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 2.051 * * * [regime]: Found split indices: #