13.828 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.113 * * * [progress]: [2/2] Setting up program. 0.116 * [progress]: [Phase 2 of 3] Improving. 0.116 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.119 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.120 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.122 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.124 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.130 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.152 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.153 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.153 * * [progress]: iteration 1 / 4 0.153 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.168 * * * [progress]: generating rewritten candidates 0.168 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.184 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.190 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.212 * * * [progress]: generating series expansions 0.212 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.213 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.213 * [taylor]: Taking taylor expansion of 0.5 in k 0.213 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.213 * [taylor]: Taking taylor expansion of 1.0 in k 0.213 * [taylor]: Taking taylor expansion of k in k 0.213 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.213 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.214 * [taylor]: Taking taylor expansion of 2.0 in k 0.214 * [taylor]: Taking taylor expansion of (* n PI) in k 0.214 * [taylor]: Taking taylor expansion of n in k 0.214 * [taylor]: Taking taylor expansion of PI in k 0.215 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.215 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.215 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.215 * [taylor]: Taking taylor expansion of 0.5 in n 0.215 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.215 * [taylor]: Taking taylor expansion of 1.0 in n 0.215 * [taylor]: Taking taylor expansion of k in n 0.215 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.215 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.215 * [taylor]: Taking taylor expansion of 2.0 in n 0.215 * [taylor]: Taking taylor expansion of (* n PI) in n 0.215 * [taylor]: Taking taylor expansion of n in n 0.215 * [taylor]: Taking taylor expansion of PI in n 0.220 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.220 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.220 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.220 * [taylor]: Taking taylor expansion of 0.5 in n 0.220 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.220 * [taylor]: Taking taylor expansion of 1.0 in n 0.220 * [taylor]: Taking taylor expansion of k in n 0.220 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.220 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.220 * [taylor]: Taking taylor expansion of 2.0 in n 0.220 * [taylor]: Taking taylor expansion of (* n PI) in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [taylor]: Taking taylor expansion of PI in n 0.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.226 * [taylor]: Taking taylor expansion of 0.5 in k 0.226 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.226 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of k in k 0.226 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.226 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.226 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.226 * [taylor]: Taking taylor expansion of 2.0 in k 0.226 * [taylor]: Taking taylor expansion of PI in k 0.227 * [taylor]: Taking taylor expansion of (log n) in k 0.227 * [taylor]: Taking taylor expansion of n in k 0.236 * [taylor]: Taking taylor expansion of 0 in k 0.252 * [taylor]: Taking taylor expansion of 0 in k 0.276 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.276 * [taylor]: Taking taylor expansion of 0.5 in k 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.276 * [taylor]: Taking taylor expansion of 1.0 in k 0.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.276 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.277 * [taylor]: Taking taylor expansion of 2.0 in k 0.277 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.277 * [taylor]: Taking taylor expansion of PI in k 0.277 * [taylor]: Taking taylor expansion of n in k 0.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.278 * [taylor]: Taking taylor expansion of 0.5 in n 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.278 * [taylor]: Taking taylor expansion of 1.0 in n 0.278 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.278 * [taylor]: Taking taylor expansion of k in n 0.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.278 * [taylor]: Taking taylor expansion of 2.0 in n 0.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.278 * [taylor]: Taking taylor expansion of PI in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.282 * [taylor]: Taking taylor expansion of 0.5 in n 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.282 * [taylor]: Taking taylor expansion of k in n 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of 2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.286 * [taylor]: Taking taylor expansion of 0.5 in k 0.286 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.286 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.286 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.286 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.286 * [taylor]: Taking taylor expansion of 2.0 in k 0.286 * [taylor]: Taking taylor expansion of PI in k 0.287 * [taylor]: Taking taylor expansion of (log n) in k 0.287 * [taylor]: Taking taylor expansion of n in k 0.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.287 * [taylor]: Taking taylor expansion of 1.0 in k 0.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.287 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of 0 in k 0.304 * [taylor]: Taking taylor expansion of 0 in k 0.312 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.314 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.314 * [taylor]: Taking taylor expansion of 0.5 in k 0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.314 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.314 * [taylor]: Taking taylor expansion of -2.0 in k 0.314 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.314 * [taylor]: Taking taylor expansion of PI in k 0.314 * [taylor]: Taking taylor expansion of n in k 0.315 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.315 * [taylor]: Taking taylor expansion of 0.5 in n 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.315 * [taylor]: Taking taylor expansion of k in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.315 * [taylor]: Taking taylor expansion of -2.0 in n 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.315 * [taylor]: Taking taylor expansion of PI in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.319 * [taylor]: Taking taylor expansion of 0.5 in n 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.319 * [taylor]: Taking taylor expansion of k in n 0.319 * [taylor]: Taking taylor expansion of 1.0 in n 0.319 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.319 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.319 * [taylor]: Taking taylor expansion of -2.0 in n 0.319 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.319 * [taylor]: Taking taylor expansion of PI in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.323 * [taylor]: Taking taylor expansion of 0.5 in k 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.323 * [taylor]: Taking taylor expansion of k in k 0.323 * [taylor]: Taking taylor expansion of 1.0 in k 0.323 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.323 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.323 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.323 * [taylor]: Taking taylor expansion of -2.0 in k 0.323 * [taylor]: Taking taylor expansion of PI in k 0.324 * [taylor]: Taking taylor expansion of (log n) in k 0.324 * [taylor]: Taking taylor expansion of n in k 0.333 * [taylor]: Taking taylor expansion of 0 in k 0.345 * [taylor]: Taking taylor expansion of 0 in k 0.354 * [taylor]: Taking taylor expansion of 0 in k 0.355 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.355 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.355 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.357 * [taylor]: Taking taylor expansion of 1.0 in k 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.357 * [taylor]: Taking taylor expansion of k in k 0.368 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.368 * [taylor]: Taking taylor expansion of k in k 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.369 * [taylor]: Taking taylor expansion of 1.0 in k 0.369 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.369 * [taylor]: Taking taylor expansion of k in k 0.380 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.380 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.380 * [taylor]: Taking taylor expansion of -1 in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.382 * [taylor]: Taking taylor expansion of -1 in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.394 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.394 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.394 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.394 * [taylor]: Taking taylor expansion of 2.0 in n 0.394 * [taylor]: Taking taylor expansion of (* n PI) in n 0.394 * [taylor]: Taking taylor expansion of n in n 0.394 * [taylor]: Taking taylor expansion of PI in n 0.394 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.394 * [taylor]: Taking taylor expansion of 2.0 in n 0.394 * [taylor]: Taking taylor expansion of (* n PI) in n 0.394 * [taylor]: Taking taylor expansion of n in n 0.394 * [taylor]: Taking taylor expansion of PI in n 0.406 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.406 * [taylor]: Taking taylor expansion of 2.0 in n 0.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.406 * [taylor]: Taking taylor expansion of PI in n 0.406 * [taylor]: Taking taylor expansion of n in n 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.407 * [taylor]: Taking taylor expansion of 2.0 in n 0.407 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.407 * [taylor]: Taking taylor expansion of PI in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.416 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.416 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.416 * [taylor]: Taking taylor expansion of -2.0 in n 0.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.416 * [taylor]: Taking taylor expansion of -2.0 in n 0.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.431 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.431 * [taylor]: Taking taylor expansion of 1.0 in n 0.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.431 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.431 * [taylor]: Taking taylor expansion of k in n 0.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of k in n 0.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.432 * [taylor]: Taking taylor expansion of 2.0 in n 0.432 * [taylor]: Taking taylor expansion of (* n PI) in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.439 * [taylor]: Taking taylor expansion of 0.5 in k 0.439 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.439 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.439 * [taylor]: Taking taylor expansion of 2.0 in k 0.439 * [taylor]: Taking taylor expansion of (* n PI) in k 0.439 * [taylor]: Taking taylor expansion of n in k 0.439 * [taylor]: Taking taylor expansion of PI in k 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.440 * [taylor]: Taking taylor expansion of 1.0 in k 0.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.440 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.442 * [taylor]: Taking taylor expansion of 0.5 in k 0.442 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.442 * [taylor]: Taking taylor expansion of 2.0 in k 0.442 * [taylor]: Taking taylor expansion of (* n PI) in k 0.442 * [taylor]: Taking taylor expansion of n in k 0.442 * [taylor]: Taking taylor expansion of PI in k 0.443 * [taylor]: Taking taylor expansion of 0 in n 0.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.448 * [taylor]: Taking taylor expansion of +nan.0 in n 0.448 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.449 * [taylor]: Taking taylor expansion of 0.5 in n 0.449 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.449 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.449 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.449 * [taylor]: Taking taylor expansion of 1.0 in n 0.449 * [taylor]: Taking taylor expansion of (log PI) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.451 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log n) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.451 * [taylor]: Taking taylor expansion of 2.0 in n 0.470 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.471 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.471 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.471 * [taylor]: Taking taylor expansion of +nan.0 in n 0.471 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.471 * [taylor]: Taking taylor expansion of 0.5 in n 0.471 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (log PI) in n 0.471 * [taylor]: Taking taylor expansion of PI in n 0.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (log n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.473 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.479 * [taylor]: Taking taylor expansion of +nan.0 in n 0.479 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.479 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.479 * [taylor]: Taking taylor expansion of 0.5 in n 0.479 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.479 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.479 * [taylor]: Taking taylor expansion of 2.0 in n 0.481 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log PI) in n 0.481 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.483 * [taylor]: Taking taylor expansion of 1.0 in n 0.483 * [taylor]: Taking taylor expansion of (log n) in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.487 * [taylor]: Taking taylor expansion of 2.0 in n 0.487 * [taylor]: Taking taylor expansion of (* n PI) in n 0.487 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of PI in n 0.542 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.542 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.542 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.542 * [taylor]: Taking taylor expansion of +nan.0 in n 0.542 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.542 * [taylor]: Taking taylor expansion of 0.5 in n 0.542 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.542 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.542 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log n) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log PI) in n 0.545 * [taylor]: Taking taylor expansion of PI in n 0.550 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.550 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.550 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.550 * [taylor]: Taking taylor expansion of +nan.0 in n 0.550 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.550 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.550 * [taylor]: Taking taylor expansion of 0.5 in n 0.550 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.550 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.550 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.550 * [taylor]: Taking taylor expansion of 1.0 in n 0.551 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.551 * [taylor]: Taking taylor expansion of 2.0 in n 0.552 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.552 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of (log PI) in n 0.552 * [taylor]: Taking taylor expansion of PI in n 0.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log n) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.558 * [taylor]: Taking taylor expansion of 2.0 in n 0.558 * [taylor]: Taking taylor expansion of (* n PI) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.559 * [taylor]: Taking taylor expansion of PI in n 0.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.561 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.562 * [taylor]: Taking taylor expansion of +nan.0 in n 0.562 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.562 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.562 * [taylor]: Taking taylor expansion of 0.5 in n 0.562 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.562 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.562 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.563 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.564 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.564 * [taylor]: Taking taylor expansion of 1.0 in n 0.564 * [taylor]: Taking taylor expansion of (log PI) in n 0.564 * [taylor]: Taking taylor expansion of PI in n 0.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log n) in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.570 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.570 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.570 * [taylor]: Taking taylor expansion of 2.0 in n 0.570 * [taylor]: Taking taylor expansion of (* n PI) in n 0.570 * [taylor]: Taking taylor expansion of n in n 0.570 * [taylor]: Taking taylor expansion of PI in n 0.648 * [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 0.648 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.648 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.648 * [taylor]: Taking taylor expansion of k in n 0.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.648 * [taylor]: Taking taylor expansion of 0.5 in n 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.648 * [taylor]: Taking taylor expansion of k in n 0.648 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.648 * [taylor]: Taking taylor expansion of 2.0 in n 0.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.648 * [taylor]: Taking taylor expansion of PI in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.652 * [taylor]: Taking taylor expansion of 1.0 in k 0.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.652 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.652 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of 2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.653 * [taylor]: Taking taylor expansion of n in k 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.654 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.655 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.655 * [taylor]: Taking taylor expansion of k in k 0.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.656 * [taylor]: Taking taylor expansion of 0.5 in k 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.656 * [taylor]: Taking taylor expansion of 1.0 in k 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.656 * [taylor]: Taking taylor expansion of k in k 0.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.656 * [taylor]: Taking taylor expansion of 2.0 in k 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.656 * [taylor]: Taking taylor expansion of PI in k 0.656 * [taylor]: Taking taylor expansion of n in k 0.657 * [taylor]: Taking taylor expansion of 0 in n 0.658 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.658 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.658 * [taylor]: Taking taylor expansion of +nan.0 in n 0.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.658 * [taylor]: Taking taylor expansion of 0.5 in n 0.658 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.658 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.658 * [taylor]: Taking taylor expansion of 2.0 in n 0.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.659 * [taylor]: Taking taylor expansion of PI in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.660 * [taylor]: Taking taylor expansion of k in n 0.668 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.668 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.668 * [taylor]: Taking taylor expansion of +nan.0 in n 0.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.668 * [taylor]: Taking taylor expansion of 0.5 in n 0.668 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.668 * [taylor]: Taking taylor expansion of 2.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.668 * [taylor]: Taking taylor expansion of PI in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.670 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.670 * [taylor]: Taking taylor expansion of k in n 0.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.686 * [taylor]: Taking taylor expansion of +nan.0 in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.686 * [taylor]: Taking taylor expansion of 2.0 in n 0.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.686 * [taylor]: Taking taylor expansion of PI in n 0.686 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.702 * [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 0.702 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.702 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of -2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.706 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.706 * [taylor]: Taking taylor expansion of -1 in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.707 * [taylor]: Taking taylor expansion of 1.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.707 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.707 * [taylor]: Taking taylor expansion of 0.5 in k 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.707 * [taylor]: Taking taylor expansion of k in k 0.707 * [taylor]: Taking taylor expansion of 1.0 in k 0.707 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.707 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.707 * [taylor]: Taking taylor expansion of -2.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.707 * [taylor]: Taking taylor expansion of PI in k 0.707 * [taylor]: Taking taylor expansion of n in k 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.708 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.708 * [taylor]: Taking taylor expansion of -1 in k 0.708 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.710 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.710 * [taylor]: Taking taylor expansion of 0.5 in k 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.710 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.710 * [taylor]: Taking taylor expansion of -2.0 in k 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [taylor]: Taking taylor expansion of n in k 0.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.711 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.711 * [taylor]: Taking taylor expansion of -1 in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.713 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.713 * [taylor]: Taking taylor expansion of +nan.0 in n 0.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of 1.0 in n 0.713 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of -2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.722 * [taylor]: Taking taylor expansion of 1.0 in n 0.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.722 * [taylor]: Taking taylor expansion of -2.0 in n 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.722 * [taylor]: Taking taylor expansion of PI in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.740 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.740 * [taylor]: Taking taylor expansion of +nan.0 in n 0.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.740 * [taylor]: Taking taylor expansion of 0.5 in n 0.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.740 * [taylor]: Taking taylor expansion of k in n 0.740 * [taylor]: Taking taylor expansion of 1.0 in n 0.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.740 * [taylor]: Taking taylor expansion of -2.0 in n 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.740 * [taylor]: Taking taylor expansion of PI in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.750 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.848 * * * [progress]: adding candidates to table 1.301 * * [progress]: iteration 2 / 4 1.301 * * * [progress]: picking best candidate 1.327 * * * * [pick]: Picked # 1.327 * * * [progress]: localizing error 1.342 * * * [progress]: generating rewritten candidates 1.342 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.351 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.369 * * * [progress]: generating series expansions 1.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.369 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.369 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.369 * [taylor]: Taking taylor expansion of 0.5 in k 1.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.369 * [taylor]: Taking taylor expansion of 1.0 in k 1.369 * [taylor]: Taking taylor expansion of k in k 1.369 * [taylor]: Taking taylor expansion of (log n) in k 1.369 * [taylor]: Taking taylor expansion of n in k 1.370 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.371 * [taylor]: Taking taylor expansion of 0.5 in n 1.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.371 * [taylor]: Taking taylor expansion of 1.0 in n 1.371 * [taylor]: Taking taylor expansion of k in n 1.371 * [taylor]: Taking taylor expansion of (log n) in n 1.371 * [taylor]: Taking taylor expansion of n in n 1.371 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.371 * [taylor]: Taking taylor expansion of 0.5 in n 1.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.371 * [taylor]: Taking taylor expansion of 1.0 in n 1.371 * [taylor]: Taking taylor expansion of k in n 1.372 * [taylor]: Taking taylor expansion of (log n) in n 1.372 * [taylor]: Taking taylor expansion of n in n 1.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.372 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.372 * [taylor]: Taking taylor expansion of 0.5 in k 1.372 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.372 * [taylor]: Taking taylor expansion of 1.0 in k 1.372 * [taylor]: Taking taylor expansion of k in k 1.372 * [taylor]: Taking taylor expansion of (log n) in k 1.372 * [taylor]: Taking taylor expansion of n in k 1.375 * [taylor]: Taking taylor expansion of 0 in k 1.381 * [taylor]: Taking taylor expansion of 0 in k 1.389 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.389 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.389 * [taylor]: Taking taylor expansion of 0.5 in k 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.390 * [taylor]: Taking taylor expansion of 1.0 in k 1.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.390 * [taylor]: Taking taylor expansion of k in k 1.390 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.390 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.390 * [taylor]: Taking taylor expansion of n in k 1.391 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.391 * [taylor]: Taking taylor expansion of 0.5 in n 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.391 * [taylor]: Taking taylor expansion of 1.0 in n 1.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.391 * [taylor]: Taking taylor expansion of k in n 1.391 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.391 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.391 * [taylor]: Taking taylor expansion of n in n 1.392 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.392 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.392 * [taylor]: Taking taylor expansion of 0.5 in n 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.392 * [taylor]: Taking taylor expansion of 1.0 in n 1.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.392 * [taylor]: Taking taylor expansion of k in n 1.392 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.392 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.392 * [taylor]: Taking taylor expansion of n in n 1.393 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.393 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.393 * [taylor]: Taking taylor expansion of -0.5 in k 1.393 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.393 * [taylor]: Taking taylor expansion of (log n) in k 1.393 * [taylor]: Taking taylor expansion of n in k 1.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.393 * [taylor]: Taking taylor expansion of 1.0 in k 1.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.394 * [taylor]: Taking taylor expansion of k in k 1.397 * [taylor]: Taking taylor expansion of 0 in k 1.402 * [taylor]: Taking taylor expansion of 0 in k 1.408 * [taylor]: Taking taylor expansion of 0 in k 1.408 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.408 * [taylor]: Taking taylor expansion of 0.5 in k 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.409 * [taylor]: Taking taylor expansion of 1.0 in k 1.409 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.409 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.409 * [taylor]: Taking taylor expansion of -1 in k 1.409 * [taylor]: Taking taylor expansion of n in k 1.409 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.410 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.410 * [taylor]: Taking taylor expansion of 0.5 in n 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.410 * [taylor]: Taking taylor expansion of k in n 1.410 * [taylor]: Taking taylor expansion of 1.0 in n 1.410 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.410 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.410 * [taylor]: Taking taylor expansion of -1 in n 1.410 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.412 * [taylor]: Taking taylor expansion of 0.5 in n 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.412 * [taylor]: Taking taylor expansion of k in n 1.412 * [taylor]: Taking taylor expansion of 1.0 in n 1.412 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.412 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.412 * [taylor]: Taking taylor expansion of -1 in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.414 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.414 * [taylor]: Taking taylor expansion of 0.5 in k 1.414 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.414 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.414 * [taylor]: Taking taylor expansion of (log -1) in k 1.414 * [taylor]: Taking taylor expansion of -1 in k 1.414 * [taylor]: Taking taylor expansion of (log n) in k 1.414 * [taylor]: Taking taylor expansion of n in k 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.414 * [taylor]: Taking taylor expansion of k in k 1.414 * [taylor]: Taking taylor expansion of 1.0 in k 1.419 * [taylor]: Taking taylor expansion of 0 in k 1.424 * [taylor]: Taking taylor expansion of 0 in k 1.431 * [taylor]: Taking taylor expansion of 0 in k 1.431 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.432 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.432 * [taylor]: Taking taylor expansion of 0.5 in k 1.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.432 * [taylor]: Taking taylor expansion of 1.0 in k 1.432 * [taylor]: Taking taylor expansion of k in k 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.432 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of PI in k 1.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.437 * [taylor]: Taking taylor expansion of 0.5 in k 1.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.437 * [taylor]: Taking taylor expansion of 1.0 in k 1.437 * [taylor]: Taking taylor expansion of k in k 1.437 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.437 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.437 * [taylor]: Taking taylor expansion of 2.0 in k 1.437 * [taylor]: Taking taylor expansion of PI in k 1.490 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.490 * [taylor]: Taking taylor expansion of 0.5 in k 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.490 * [taylor]: Taking taylor expansion of 1.0 in k 1.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.490 * [taylor]: Taking taylor expansion of k in k 1.490 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.490 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.490 * [taylor]: Taking taylor expansion of 2.0 in k 1.490 * [taylor]: Taking taylor expansion of PI in k 1.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.494 * [taylor]: Taking taylor expansion of 0.5 in k 1.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.494 * [taylor]: Taking taylor expansion of k in k 1.494 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.494 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.494 * [taylor]: Taking taylor expansion of 2.0 in k 1.494 * [taylor]: Taking taylor expansion of PI in k 1.499 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.500 * [taylor]: Taking taylor expansion of 0.5 in k 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.500 * [taylor]: Taking taylor expansion of k in k 1.500 * [taylor]: Taking taylor expansion of 1.0 in k 1.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.500 * [taylor]: Taking taylor expansion of 2.0 in k 1.500 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.503 * [taylor]: Taking taylor expansion of 0.5 in k 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.504 * [taylor]: Taking taylor expansion of 1.0 in k 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.504 * [taylor]: Taking taylor expansion of 2.0 in k 1.504 * [taylor]: Taking taylor expansion of PI in k 1.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.509 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.509 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.509 * [taylor]: Taking taylor expansion of 1.0 in k 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.510 * [taylor]: Taking taylor expansion of k in k 1.521 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.521 * [taylor]: Taking taylor expansion of 1.0 in k 1.521 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.521 * [taylor]: Taking taylor expansion of k in k 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.522 * [taylor]: Taking taylor expansion of 1.0 in k 1.522 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.532 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.532 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.532 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.533 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.533 * [taylor]: Taking taylor expansion of -1 in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.534 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.534 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.534 * [taylor]: Taking taylor expansion of -1 in k 1.534 * [taylor]: Taking taylor expansion of k in k 1.546 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.546 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 1.546 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 1.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 1.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 1.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 1.546 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.546 * [taylor]: Taking taylor expansion of 0.5 in n 1.546 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.546 * [taylor]: Taking taylor expansion of 1.0 in n 1.546 * [taylor]: Taking taylor expansion of k in n 1.546 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.546 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.546 * [taylor]: Taking taylor expansion of 2.0 in n 1.546 * [taylor]: Taking taylor expansion of PI in n 1.549 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.549 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.549 * [taylor]: Taking taylor expansion of 0.5 in n 1.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.549 * [taylor]: Taking taylor expansion of 1.0 in n 1.549 * [taylor]: Taking taylor expansion of k in n 1.549 * [taylor]: Taking taylor expansion of (log n) in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.550 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.550 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.550 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.550 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.550 * [taylor]: Taking taylor expansion of 0.5 in k 1.550 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.550 * [taylor]: Taking taylor expansion of 1.0 in k 1.550 * [taylor]: Taking taylor expansion of k in k 1.550 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.550 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.550 * [taylor]: Taking taylor expansion of 2.0 in k 1.550 * [taylor]: Taking taylor expansion of PI in k 1.560 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.560 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.560 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.560 * [taylor]: Taking taylor expansion of 0.5 in k 1.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.560 * [taylor]: Taking taylor expansion of 1.0 in k 1.560 * [taylor]: Taking taylor expansion of k in k 1.560 * [taylor]: Taking taylor expansion of (log n) in k 1.560 * [taylor]: Taking taylor expansion of n in k 1.561 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.561 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.561 * [taylor]: Taking taylor expansion of 0.5 in k 1.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.561 * [taylor]: Taking taylor expansion of 1.0 in k 1.561 * [taylor]: Taking taylor expansion of k in k 1.561 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.562 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.562 * [taylor]: Taking taylor expansion of 2.0 in k 1.562 * [taylor]: Taking taylor expansion of PI in k 1.566 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.566 * [taylor]: Taking taylor expansion of 0.5 in k 1.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.566 * [taylor]: Taking taylor expansion of 1.0 in k 1.566 * [taylor]: Taking taylor expansion of k in k 1.566 * [taylor]: Taking taylor expansion of (log n) in k 1.566 * [taylor]: Taking taylor expansion of n in k 1.568 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.568 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.568 * [taylor]: Taking taylor expansion of 0.5 in n 1.568 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.568 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.568 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.568 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.568 * [taylor]: Taking taylor expansion of 1.0 in n 1.568 * [taylor]: Taking taylor expansion of (log PI) in n 1.568 * [taylor]: Taking taylor expansion of PI in n 1.570 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.570 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.570 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.570 * [taylor]: Taking taylor expansion of 1.0 in n 1.570 * [taylor]: Taking taylor expansion of (log n) in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.570 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.570 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.570 * [taylor]: Taking taylor expansion of 1.0 in n 1.570 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.570 * [taylor]: Taking taylor expansion of 2.0 in n 1.596 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.596 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.596 * [taylor]: Taking taylor expansion of 0.5 in n 1.596 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.596 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.596 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.596 * [taylor]: Taking taylor expansion of 2.0 in n 1.596 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.597 * [taylor]: Taking taylor expansion of 0.5 in n 1.597 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.597 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.597 * [taylor]: Taking taylor expansion of 1.0 in n 1.597 * [taylor]: Taking taylor expansion of (log PI) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.599 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.599 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (log n) in n 1.599 * [taylor]: Taking taylor expansion of n in n 1.599 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.600 * [taylor]: Taking taylor expansion of 1.0 in n 1.600 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.600 * [taylor]: Taking taylor expansion of 2.0 in n 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.605 * [taylor]: Taking taylor expansion of 0.5 in n 1.605 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.605 * [taylor]: Taking taylor expansion of (log n) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.605 * [taylor]: Taking taylor expansion of 0.5 in n 1.605 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.605 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.605 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.605 * [taylor]: Taking taylor expansion of 1.0 in n 1.605 * [taylor]: Taking taylor expansion of (log PI) in n 1.605 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.607 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log n) in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.608 * [taylor]: Taking taylor expansion of 1.0 in n 1.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.608 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.667 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.667 * [taylor]: Taking taylor expansion of 0.125 in n 1.667 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.667 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.667 * [taylor]: Taking taylor expansion of (log n) in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.668 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.668 * [taylor]: Taking taylor expansion of 0.5 in n 1.668 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.668 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.668 * [taylor]: Taking taylor expansion of 1.0 in n 1.668 * [taylor]: Taking taylor expansion of (log PI) in n 1.668 * [taylor]: Taking taylor expansion of PI in n 1.670 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.670 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.670 * [taylor]: Taking taylor expansion of 1.0 in n 1.670 * [taylor]: Taking taylor expansion of (log n) in n 1.670 * [taylor]: Taking taylor expansion of n in n 1.670 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.670 * [taylor]: Taking taylor expansion of 1.0 in n 1.670 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.670 * [taylor]: Taking taylor expansion of 2.0 in n 1.676 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.676 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 1.676 * [taylor]: Taking taylor expansion of 0.25 in n 1.676 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 1.676 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 1.676 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.676 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.676 * [taylor]: Taking taylor expansion of 2.0 in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of (log n) in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.677 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.677 * [taylor]: Taking taylor expansion of 0.5 in n 1.677 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.677 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.677 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.677 * [taylor]: Taking taylor expansion of 1.0 in n 1.677 * [taylor]: Taking taylor expansion of (log PI) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.679 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.679 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.679 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.679 * [taylor]: Taking taylor expansion of 1.0 in n 1.679 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.681 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log n) in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.685 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.685 * [taylor]: Taking taylor expansion of 0.125 in n 1.685 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.685 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 1.685 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.685 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.685 * [taylor]: Taking taylor expansion of 2.0 in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.686 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.686 * [taylor]: Taking taylor expansion of 0.5 in n 1.686 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.686 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.686 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.687 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.687 * [taylor]: Taking taylor expansion of 1.0 in n 1.687 * [taylor]: Taking taylor expansion of (log PI) in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.688 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.688 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.688 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.688 * [taylor]: Taking taylor expansion of 1.0 in n 1.688 * [taylor]: Taking taylor expansion of (log n) in n 1.689 * [taylor]: Taking taylor expansion of n in n 1.689 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.689 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.689 * [taylor]: Taking taylor expansion of 1.0 in n 1.689 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.689 * [taylor]: Taking taylor expansion of 2.0 in n 1.727 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.727 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.728 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 1.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.729 * [taylor]: Taking taylor expansion of k in n 1.729 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.729 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.729 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.737 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.737 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.737 * [taylor]: Taking taylor expansion of 0.5 in k 1.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.737 * [taylor]: Taking taylor expansion of 1.0 in k 1.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.737 * [taylor]: Taking taylor expansion of k in k 1.738 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.738 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.738 * [taylor]: Taking taylor expansion of n in k 1.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.739 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.739 * [taylor]: Taking taylor expansion of 0.5 in k 1.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.739 * [taylor]: Taking taylor expansion of 1.0 in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.739 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.739 * [taylor]: Taking taylor expansion of 2.0 in k 1.739 * [taylor]: Taking taylor expansion of PI in k 1.743 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.743 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.743 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.743 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.743 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.743 * [taylor]: Taking taylor expansion of 0.5 in k 1.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.743 * [taylor]: Taking taylor expansion of 1.0 in k 1.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.743 * [taylor]: Taking taylor expansion of k in k 1.743 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.743 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.743 * [taylor]: Taking taylor expansion of n in k 1.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.744 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.744 * [taylor]: Taking taylor expansion of 0.5 in k 1.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.744 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.744 * [taylor]: Taking taylor expansion of 2.0 in k 1.744 * [taylor]: Taking taylor expansion of PI in k 1.749 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.749 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.749 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.749 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 1.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 1.750 * [taylor]: Taking taylor expansion of 0.5 in n 1.750 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 1.750 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.750 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.750 * [taylor]: Taking taylor expansion of 2.0 in n 1.750 * [taylor]: Taking taylor expansion of PI in n 1.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.751 * [taylor]: Taking taylor expansion of 1.0 in n 1.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.751 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of 0 in n 1.765 * [taylor]: Taking taylor expansion of 0 in n 1.778 * [taylor]: Taking taylor expansion of 0 in n 1.779 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.779 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.779 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.779 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.779 * [taylor]: Taking taylor expansion of 0.5 in n 1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.779 * [taylor]: Taking taylor expansion of k in n 1.779 * [taylor]: Taking taylor expansion of 1.0 in n 1.779 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.779 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.779 * [taylor]: Taking taylor expansion of -1 in n 1.779 * [taylor]: Taking taylor expansion of n in n 1.781 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 1.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 1.781 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.781 * [taylor]: Taking taylor expansion of 0.5 in n 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.781 * [taylor]: Taking taylor expansion of k in n 1.781 * [taylor]: Taking taylor expansion of 1.0 in n 1.781 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.781 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.781 * [taylor]: Taking taylor expansion of 2.0 in n 1.781 * [taylor]: Taking taylor expansion of PI in n 1.784 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.784 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.784 * [taylor]: Taking taylor expansion of 0.5 in k 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.784 * [taylor]: Taking taylor expansion of k in k 1.784 * [taylor]: Taking taylor expansion of 1.0 in k 1.784 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.784 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.784 * [taylor]: Taking taylor expansion of -1 in k 1.784 * [taylor]: Taking taylor expansion of n in k 1.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.785 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.785 * [taylor]: Taking taylor expansion of 2.0 in k 1.785 * [taylor]: Taking taylor expansion of PI in k 1.788 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.788 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.789 * [taylor]: Taking taylor expansion of 0.5 in k 1.789 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.789 * [taylor]: Taking taylor expansion of k in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.789 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.789 * [taylor]: Taking taylor expansion of -1 in k 1.789 * [taylor]: Taking taylor expansion of n in k 1.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.790 * [taylor]: Taking taylor expansion of 0.5 in k 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.790 * [taylor]: Taking taylor expansion of k in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.790 * [taylor]: Taking taylor expansion of 2.0 in k 1.790 * [taylor]: Taking taylor expansion of PI in k 1.794 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.794 * [taylor]: Taking taylor expansion of 0.5 in n 1.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.794 * [taylor]: Taking taylor expansion of k in n 1.794 * [taylor]: Taking taylor expansion of 1.0 in n 1.794 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.794 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.794 * [taylor]: Taking taylor expansion of -1 in n 1.794 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 1.797 * [taylor]: Taking taylor expansion of 0.5 in n 1.797 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 1.797 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.797 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.797 * [taylor]: Taking taylor expansion of 2.0 in n 1.797 * [taylor]: Taking taylor expansion of PI in n 1.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.798 * [taylor]: Taking taylor expansion of k in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.803 * [taylor]: Taking taylor expansion of 0 in n 1.813 * [taylor]: Taking taylor expansion of 0 in n 1.832 * [taylor]: Taking taylor expansion of 0 in n 1.833 * * * [progress]: simplifying candidates 1.835 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 1.844 * * [simplify]: iteration 0 : 788 enodes (cost 1258 ) 1.856 * * [simplify]: iteration 1 : 3048 enodes (cost 1181 ) 1.902 * * [simplify]: iteration 2 : 5002 enodes (cost 1165 ) 1.908 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) (fma (* 0.125 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI)))) 1.909 * * * [progress]: adding candidates to table 2.398 * * [progress]: iteration 3 / 4 2.398 * * * [progress]: picking best candidate 2.422 * * * * [pick]: Picked # 2.422 * * * [progress]: localizing error 2.439 * * * [progress]: generating rewritten candidates 2.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.447 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.450 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.476 * * * [progress]: generating series expansions 2.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.477 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.477 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.477 * [taylor]: Taking taylor expansion of 0.5 in k 2.477 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.477 * [taylor]: Taking taylor expansion of 1.0 in k 2.477 * [taylor]: Taking taylor expansion of k in k 2.477 * [taylor]: Taking taylor expansion of (log n) in k 2.477 * [taylor]: Taking taylor expansion of n in k 2.478 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.478 * [taylor]: Taking taylor expansion of 0.5 in n 2.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.478 * [taylor]: Taking taylor expansion of 1.0 in n 2.478 * [taylor]: Taking taylor expansion of k in n 2.478 * [taylor]: Taking taylor expansion of (log n) in n 2.478 * [taylor]: Taking taylor expansion of n in n 2.479 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.479 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.479 * [taylor]: Taking taylor expansion of 0.5 in n 2.479 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.479 * [taylor]: Taking taylor expansion of 1.0 in n 2.479 * [taylor]: Taking taylor expansion of k in n 2.479 * [taylor]: Taking taylor expansion of (log n) in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.484 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.484 * [taylor]: Taking taylor expansion of 0.5 in k 2.484 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.484 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.484 * [taylor]: Taking taylor expansion of 1.0 in k 2.484 * [taylor]: Taking taylor expansion of k in k 2.484 * [taylor]: Taking taylor expansion of (log n) in k 2.484 * [taylor]: Taking taylor expansion of n in k 2.487 * [taylor]: Taking taylor expansion of 0 in k 2.492 * [taylor]: Taking taylor expansion of 0 in k 2.496 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.496 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.496 * [taylor]: Taking taylor expansion of 0.5 in k 2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.496 * [taylor]: Taking taylor expansion of 1.0 in k 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.496 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.497 * [taylor]: Taking taylor expansion of n in k 2.498 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.498 * [taylor]: Taking taylor expansion of 0.5 in n 2.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.498 * [taylor]: Taking taylor expansion of 1.0 in n 2.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.498 * [taylor]: Taking taylor expansion of k in n 2.498 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.498 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.498 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.499 * [taylor]: Taking taylor expansion of 0.5 in n 2.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.499 * [taylor]: Taking taylor expansion of k in n 2.499 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.500 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.500 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.500 * [taylor]: Taking taylor expansion of -0.5 in k 2.500 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.500 * [taylor]: Taking taylor expansion of (log n) in k 2.500 * [taylor]: Taking taylor expansion of n in k 2.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.500 * [taylor]: Taking taylor expansion of 1.0 in k 2.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.500 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of 0 in k 2.508 * [taylor]: Taking taylor expansion of 0 in k 2.514 * [taylor]: Taking taylor expansion of 0 in k 2.515 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.515 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.515 * [taylor]: Taking taylor expansion of 0.5 in k 2.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.515 * [taylor]: Taking taylor expansion of k in k 2.515 * [taylor]: Taking taylor expansion of 1.0 in k 2.515 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.515 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.515 * [taylor]: Taking taylor expansion of -1 in k 2.515 * [taylor]: Taking taylor expansion of n in k 2.516 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.516 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.516 * [taylor]: Taking taylor expansion of 0.5 in n 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.516 * [taylor]: Taking taylor expansion of k in n 2.516 * [taylor]: Taking taylor expansion of 1.0 in n 2.516 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.516 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.516 * [taylor]: Taking taylor expansion of -1 in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.518 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.518 * [taylor]: Taking taylor expansion of 0.5 in n 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.518 * [taylor]: Taking taylor expansion of k in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.518 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.518 * [taylor]: Taking taylor expansion of -1 in n 2.518 * [taylor]: Taking taylor expansion of n in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.520 * [taylor]: Taking taylor expansion of 0.5 in k 2.520 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.520 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.520 * [taylor]: Taking taylor expansion of (log -1) in k 2.520 * [taylor]: Taking taylor expansion of -1 in k 2.521 * [taylor]: Taking taylor expansion of (log n) in k 2.521 * [taylor]: Taking taylor expansion of n in k 2.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.521 * [taylor]: Taking taylor expansion of k in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.526 * [taylor]: Taking taylor expansion of 0 in k 2.531 * [taylor]: Taking taylor expansion of 0 in k 2.538 * [taylor]: Taking taylor expansion of 0 in k 2.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.538 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.538 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.538 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.538 * [taylor]: Taking taylor expansion of 0.5 in k 2.538 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.538 * [taylor]: Taking taylor expansion of 1.0 in k 2.538 * [taylor]: Taking taylor expansion of k in k 2.538 * [taylor]: Taking taylor expansion of (log PI) in k 2.538 * [taylor]: Taking taylor expansion of PI in k 2.541 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.541 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.541 * [taylor]: Taking taylor expansion of 0.5 in k 2.541 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.541 * [taylor]: Taking taylor expansion of 1.0 in k 2.541 * [taylor]: Taking taylor expansion of k in k 2.541 * [taylor]: Taking taylor expansion of (log PI) in k 2.541 * [taylor]: Taking taylor expansion of PI in k 2.578 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.578 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.578 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.578 * [taylor]: Taking taylor expansion of 0.5 in k 2.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.578 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.579 * [taylor]: Taking taylor expansion of (log PI) in k 2.579 * [taylor]: Taking taylor expansion of PI in k 2.581 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.581 * [taylor]: Taking taylor expansion of 0.5 in k 2.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.581 * [taylor]: Taking taylor expansion of 1.0 in k 2.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.581 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of (log PI) in k 2.581 * [taylor]: Taking taylor expansion of PI in k 2.584 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.584 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.584 * [taylor]: Taking taylor expansion of 0.5 in k 2.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.584 * [taylor]: Taking taylor expansion of 1.0 in k 2.584 * [taylor]: Taking taylor expansion of (log PI) in k 2.584 * [taylor]: Taking taylor expansion of PI in k 2.586 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.586 * [taylor]: Taking taylor expansion of 0.5 in k 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.586 * [taylor]: Taking taylor expansion of k in k 2.586 * [taylor]: Taking taylor expansion of 1.0 in k 2.586 * [taylor]: Taking taylor expansion of (log PI) in k 2.587 * [taylor]: Taking taylor expansion of PI in k 2.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.589 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.589 * [taylor]: Taking taylor expansion of 1.0 in k 2.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.589 * [taylor]: Taking taylor expansion of k in k 2.591 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.591 * [taylor]: Taking taylor expansion of 1.0 in k 2.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.591 * [taylor]: Taking taylor expansion of k in k 2.602 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.602 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.602 * [taylor]: Taking taylor expansion of 1.0 in k 2.602 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.602 * [taylor]: Taking taylor expansion of k in k 2.603 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.603 * [taylor]: Taking taylor expansion of 1.0 in k 2.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.603 * [taylor]: Taking taylor expansion of k in k 2.613 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.613 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.613 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.613 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.613 * [taylor]: Taking taylor expansion of -1 in k 2.613 * [taylor]: Taking taylor expansion of k in k 2.614 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.614 * [taylor]: Taking taylor expansion of 1.0 in k 2.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.615 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.615 * [taylor]: Taking taylor expansion of -1 in k 2.615 * [taylor]: Taking taylor expansion of k in k 2.626 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.627 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 2.627 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.627 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 2.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.627 * [taylor]: Taking taylor expansion of 0.5 in n 2.627 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of k in n 2.627 * [taylor]: Taking taylor expansion of (log PI) in n 2.627 * [taylor]: Taking taylor expansion of PI in n 2.628 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.628 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.628 * [taylor]: Taking taylor expansion of 0.5 in n 2.628 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.628 * [taylor]: Taking taylor expansion of 1.0 in n 2.628 * [taylor]: Taking taylor expansion of k in n 2.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.628 * [taylor]: Taking taylor expansion of 2.0 in n 2.629 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.629 * [taylor]: Taking taylor expansion of 0.5 in n 2.629 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.629 * [taylor]: Taking taylor expansion of 1.0 in n 2.629 * [taylor]: Taking taylor expansion of k in n 2.629 * [taylor]: Taking taylor expansion of (log n) in n 2.629 * [taylor]: Taking taylor expansion of n in n 2.630 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.630 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.630 * [taylor]: Taking taylor expansion of 0.5 in k 2.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.630 * [taylor]: Taking taylor expansion of 1.0 in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.630 * [taylor]: Taking taylor expansion of (log PI) in k 2.630 * [taylor]: Taking taylor expansion of PI in k 2.632 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.632 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.632 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.633 * [taylor]: Taking taylor expansion of 0.5 in k 2.633 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.633 * [taylor]: Taking taylor expansion of 1.0 in k 2.633 * [taylor]: Taking taylor expansion of k in k 2.633 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.633 * [taylor]: Taking taylor expansion of 2.0 in k 2.635 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.635 * [taylor]: Taking taylor expansion of 0.5 in k 2.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.635 * [taylor]: Taking taylor expansion of 1.0 in k 2.635 * [taylor]: Taking taylor expansion of k in k 2.635 * [taylor]: Taking taylor expansion of (log n) in k 2.635 * [taylor]: Taking taylor expansion of n in k 2.636 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.636 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.636 * [taylor]: Taking taylor expansion of 0.5 in k 2.636 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.636 * [taylor]: Taking taylor expansion of 1.0 in k 2.636 * [taylor]: Taking taylor expansion of k in k 2.636 * [taylor]: Taking taylor expansion of (log PI) in k 2.636 * [taylor]: Taking taylor expansion of PI in k 2.639 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.639 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.639 * [taylor]: Taking taylor expansion of 0.5 in k 2.639 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.639 * [taylor]: Taking taylor expansion of 1.0 in k 2.639 * [taylor]: Taking taylor expansion of k in k 2.639 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.639 * [taylor]: Taking taylor expansion of 2.0 in k 2.641 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.641 * [taylor]: Taking taylor expansion of 0.5 in k 2.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.641 * [taylor]: Taking taylor expansion of 1.0 in k 2.641 * [taylor]: Taking taylor expansion of k in k 2.641 * [taylor]: Taking taylor expansion of (log n) in k 2.641 * [taylor]: Taking taylor expansion of n in k 2.644 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.644 * [taylor]: Taking taylor expansion of 0.5 in n 2.644 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.644 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.644 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.644 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.644 * [taylor]: Taking taylor expansion of 1.0 in n 2.644 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.644 * [taylor]: Taking taylor expansion of 2.0 in n 2.646 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.646 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.646 * [taylor]: Taking taylor expansion of 1.0 in n 2.646 * [taylor]: Taking taylor expansion of (log n) in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.646 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.646 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.646 * [taylor]: Taking taylor expansion of 1.0 in n 2.646 * [taylor]: Taking taylor expansion of (log PI) in n 2.646 * [taylor]: Taking taylor expansion of PI in n 2.685 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.685 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 2.686 * [taylor]: Taking taylor expansion of 0.5 in n 2.686 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 2.686 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.686 * [taylor]: Taking taylor expansion of 0.5 in n 2.686 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.686 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.686 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.686 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.686 * [taylor]: Taking taylor expansion of 1.0 in n 2.686 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.686 * [taylor]: Taking taylor expansion of 2.0 in n 2.688 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.688 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.688 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.688 * [taylor]: Taking taylor expansion of 1.0 in n 2.688 * [taylor]: Taking taylor expansion of (log n) in n 2.688 * [taylor]: Taking taylor expansion of n in n 2.688 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.688 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.688 * [taylor]: Taking taylor expansion of 1.0 in n 2.688 * [taylor]: Taking taylor expansion of (log PI) in n 2.688 * [taylor]: Taking taylor expansion of PI in n 2.694 * [taylor]: Taking taylor expansion of (log PI) in n 2.694 * [taylor]: Taking taylor expansion of PI in n 2.694 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.694 * [taylor]: Taking taylor expansion of (log n) in n 2.694 * [taylor]: Taking taylor expansion of n in n 2.694 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.694 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.694 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.695 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.695 * [taylor]: Taking taylor expansion of 1.0 in n 2.695 * [taylor]: Taking taylor expansion of (log PI) in n 2.695 * [taylor]: Taking taylor expansion of PI in n 2.696 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.696 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of (log n) in n 2.696 * [taylor]: Taking taylor expansion of n in n 2.697 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.697 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.697 * [taylor]: Taking taylor expansion of 2.0 in n 2.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.702 * [taylor]: Taking taylor expansion of 0.5 in n 2.702 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.702 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.702 * [taylor]: Taking taylor expansion of 2.0 in n 2.703 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.703 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.703 * [taylor]: Taking taylor expansion of 0.5 in n 2.703 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.703 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.703 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.703 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.703 * [taylor]: Taking taylor expansion of 1.0 in n 2.703 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.703 * [taylor]: Taking taylor expansion of 2.0 in n 2.705 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.705 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.705 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.705 * [taylor]: Taking taylor expansion of 1.0 in n 2.705 * [taylor]: Taking taylor expansion of (log n) in n 2.705 * [taylor]: Taking taylor expansion of n in n 2.705 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.706 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.706 * [taylor]: Taking taylor expansion of 1.0 in n 2.706 * [taylor]: Taking taylor expansion of (log PI) in n 2.706 * [taylor]: Taking taylor expansion of PI in n 2.782 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 2.782 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 2.782 * [taylor]: Taking taylor expansion of 0.25 in n 2.782 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 2.782 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 2.782 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.782 * [taylor]: Taking taylor expansion of 2.0 in n 2.783 * [taylor]: Taking taylor expansion of (log n) in n 2.783 * [taylor]: Taking taylor expansion of n in n 2.783 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.783 * [taylor]: Taking taylor expansion of 0.5 in n 2.783 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.783 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.783 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.783 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.783 * [taylor]: Taking taylor expansion of 1.0 in n 2.783 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.783 * [taylor]: Taking taylor expansion of 2.0 in n 2.785 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.785 * [taylor]: Taking taylor expansion of 1.0 in n 2.785 * [taylor]: Taking taylor expansion of (log PI) in n 2.785 * [taylor]: Taking taylor expansion of PI in n 2.787 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.787 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.787 * [taylor]: Taking taylor expansion of 1.0 in n 2.787 * [taylor]: Taking taylor expansion of (log n) in n 2.787 * [taylor]: Taking taylor expansion of n in n 2.791 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 2.791 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 2.791 * [taylor]: Taking taylor expansion of 0.25 in n 2.791 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 2.791 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.791 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.791 * [taylor]: Taking taylor expansion of 0.5 in n 2.791 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.791 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.791 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.791 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.791 * [taylor]: Taking taylor expansion of 1.0 in n 2.791 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.791 * [taylor]: Taking taylor expansion of 2.0 in n 2.793 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.793 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.793 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.793 * [taylor]: Taking taylor expansion of 1.0 in n 2.793 * [taylor]: Taking taylor expansion of (log PI) in n 2.793 * [taylor]: Taking taylor expansion of PI in n 2.795 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.795 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.795 * [taylor]: Taking taylor expansion of 1.0 in n 2.795 * [taylor]: Taking taylor expansion of (log n) in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.799 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 2.799 * [taylor]: Taking taylor expansion of (log n) in n 2.799 * [taylor]: Taking taylor expansion of n in n 2.799 * [taylor]: Taking taylor expansion of (log PI) in n 2.799 * [taylor]: Taking taylor expansion of PI in n 2.800 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 2.800 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.800 * [taylor]: Taking taylor expansion of 0.25 in n 2.800 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.800 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 2.800 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.800 * [taylor]: Taking taylor expansion of 2.0 in n 2.800 * [taylor]: Taking taylor expansion of (log PI) in n 2.800 * [taylor]: Taking taylor expansion of PI in n 2.801 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.801 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.801 * [taylor]: Taking taylor expansion of 0.5 in n 2.801 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.801 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.801 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.801 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.801 * [taylor]: Taking taylor expansion of 2.0 in n 2.802 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.803 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.803 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of (log n) in n 2.803 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.803 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of (log PI) in n 2.803 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.809 * [taylor]: Taking taylor expansion of 0.125 in n 2.809 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.809 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.809 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.809 * [taylor]: Taking taylor expansion of 2.0 in n 2.809 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.809 * [taylor]: Taking taylor expansion of 0.5 in n 2.809 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.809 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.809 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of (log PI) in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.811 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.811 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.811 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.811 * [taylor]: Taking taylor expansion of 1.0 in n 2.811 * [taylor]: Taking taylor expansion of (log n) in n 2.811 * [taylor]: Taking taylor expansion of n in n 2.812 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.812 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.812 * [taylor]: Taking taylor expansion of 1.0 in n 2.812 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.812 * [taylor]: Taking taylor expansion of 2.0 in n 2.817 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 2.817 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 2.817 * [taylor]: Taking taylor expansion of 0.125 in n 2.817 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 2.817 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.817 * [taylor]: Taking taylor expansion of 0.5 in n 2.817 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.817 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.817 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.817 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.817 * [taylor]: Taking taylor expansion of 2.0 in n 2.819 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.819 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.819 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.819 * [taylor]: Taking taylor expansion of 1.0 in n 2.819 * [taylor]: Taking taylor expansion of (log n) in n 2.819 * [taylor]: Taking taylor expansion of n in n 2.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.820 * [taylor]: Taking taylor expansion of 1.0 in n 2.820 * [taylor]: Taking taylor expansion of (log PI) in n 2.820 * [taylor]: Taking taylor expansion of PI in n 2.826 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 2.826 * [taylor]: Taking taylor expansion of (log PI) in n 2.826 * [taylor]: Taking taylor expansion of PI in n 2.826 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 2.826 * [taylor]: Taking taylor expansion of 0.125 in n 2.826 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 2.826 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.826 * [taylor]: Taking taylor expansion of 0.5 in n 2.826 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.826 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.826 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.826 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.826 * [taylor]: Taking taylor expansion of 1.0 in n 2.826 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.826 * [taylor]: Taking taylor expansion of 2.0 in n 2.828 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.828 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.828 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.828 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.828 * [taylor]: Taking taylor expansion of 1.0 in n 2.828 * [taylor]: Taking taylor expansion of (log PI) in n 2.828 * [taylor]: Taking taylor expansion of PI in n 2.830 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.830 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.830 * [taylor]: Taking taylor expansion of 1.0 in n 2.830 * [taylor]: Taking taylor expansion of (log n) in n 2.830 * [taylor]: Taking taylor expansion of n in n 2.840 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.840 * [taylor]: Taking taylor expansion of (log n) in n 2.841 * [taylor]: Taking taylor expansion of n in n 2.911 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.911 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.911 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.911 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.911 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.911 * [taylor]: Taking taylor expansion of 0.5 in n 2.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.911 * [taylor]: Taking taylor expansion of 1.0 in n 2.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.911 * [taylor]: Taking taylor expansion of k in n 2.911 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.911 * [taylor]: Taking taylor expansion of 2.0 in n 2.912 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 2.912 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.912 * [taylor]: Taking taylor expansion of 0.5 in n 2.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.912 * [taylor]: Taking taylor expansion of k in n 2.912 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.912 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.912 * [taylor]: Taking taylor expansion of n in n 2.913 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 2.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 2.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.914 * [taylor]: Taking taylor expansion of 0.5 in n 2.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.914 * [taylor]: Taking taylor expansion of 1.0 in n 2.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.914 * [taylor]: Taking taylor expansion of k in n 2.914 * [taylor]: Taking taylor expansion of (log PI) in n 2.914 * [taylor]: Taking taylor expansion of PI in n 2.915 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.915 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.915 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.915 * [taylor]: Taking taylor expansion of 0.5 in k 2.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.915 * [taylor]: Taking taylor expansion of 1.0 in k 2.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.915 * [taylor]: Taking taylor expansion of k in k 2.915 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.915 * [taylor]: Taking taylor expansion of 2.0 in k 2.917 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.917 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.917 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.917 * [taylor]: Taking taylor expansion of 0.5 in k 2.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.917 * [taylor]: Taking taylor expansion of 1.0 in k 2.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.917 * [taylor]: Taking taylor expansion of k in k 2.917 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.917 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.917 * [taylor]: Taking taylor expansion of n in k 2.918 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.918 * [taylor]: Taking taylor expansion of 0.5 in k 2.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.918 * [taylor]: Taking taylor expansion of 1.0 in k 2.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.919 * [taylor]: Taking taylor expansion of k in k 2.919 * [taylor]: Taking taylor expansion of (log PI) in k 2.919 * [taylor]: Taking taylor expansion of PI in k 2.921 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.921 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.921 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.921 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.921 * [taylor]: Taking taylor expansion of 0.5 in k 2.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.921 * [taylor]: Taking taylor expansion of 1.0 in k 2.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.921 * [taylor]: Taking taylor expansion of k in k 2.921 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.921 * [taylor]: Taking taylor expansion of 2.0 in k 2.928 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.928 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.929 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.929 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.929 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.929 * [taylor]: Taking taylor expansion of 0.5 in k 2.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.929 * [taylor]: Taking taylor expansion of 1.0 in k 2.929 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.929 * [taylor]: Taking taylor expansion of k in k 2.929 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.929 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.929 * [taylor]: Taking taylor expansion of n in k 2.930 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.930 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.930 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.930 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.930 * [taylor]: Taking taylor expansion of 0.5 in k 2.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.930 * [taylor]: Taking taylor expansion of 1.0 in k 2.930 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.930 * [taylor]: Taking taylor expansion of k in k 2.930 * [taylor]: Taking taylor expansion of (log PI) in k 2.930 * [taylor]: Taking taylor expansion of PI in k 2.934 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.934 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.934 * [taylor]: Taking taylor expansion of 0.5 in n 2.934 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.934 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.934 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.934 * [taylor]: Taking taylor expansion of n in n 2.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.934 * [taylor]: Taking taylor expansion of 1.0 in n 2.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.934 * [taylor]: Taking taylor expansion of k in n 2.935 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 2.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 2.935 * [taylor]: Taking taylor expansion of 0.5 in n 2.935 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 2.935 * [taylor]: Taking taylor expansion of (log PI) in n 2.935 * [taylor]: Taking taylor expansion of PI in n 2.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.935 * [taylor]: Taking taylor expansion of 1.0 in n 2.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.935 * [taylor]: Taking taylor expansion of k in n 2.936 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.936 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.936 * [taylor]: Taking taylor expansion of 0.5 in n 2.936 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.936 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.936 * [taylor]: Taking taylor expansion of 2.0 in n 2.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.937 * [taylor]: Taking taylor expansion of 1.0 in n 2.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.937 * [taylor]: Taking taylor expansion of k in n 2.941 * [taylor]: Taking taylor expansion of 0 in n 2.953 * [taylor]: Taking taylor expansion of 0 in n 2.970 * [taylor]: Taking taylor expansion of 0 in n 2.971 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 2.972 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 2.972 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.972 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.972 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.972 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.972 * [taylor]: Taking taylor expansion of 0.5 in n 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.972 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.972 * [taylor]: Taking taylor expansion of k in n 2.972 * [taylor]: Taking taylor expansion of 1.0 in n 2.972 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.972 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.972 * [taylor]: Taking taylor expansion of -1 in n 2.972 * [taylor]: Taking taylor expansion of n in n 2.974 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.974 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.974 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.974 * [taylor]: Taking taylor expansion of 0.5 in n 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.974 * [taylor]: Taking taylor expansion of k in n 2.974 * [taylor]: Taking taylor expansion of 1.0 in n 2.974 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.974 * [taylor]: Taking taylor expansion of 2.0 in n 2.975 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 2.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 2.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 2.975 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.975 * [taylor]: Taking taylor expansion of 0.5 in n 2.975 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.975 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.975 * [taylor]: Taking taylor expansion of k in n 2.975 * [taylor]: Taking taylor expansion of 1.0 in n 2.975 * [taylor]: Taking taylor expansion of (log PI) in n 2.975 * [taylor]: Taking taylor expansion of PI in n 2.976 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.976 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.976 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.976 * [taylor]: Taking taylor expansion of 0.5 in k 2.976 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.976 * [taylor]: Taking taylor expansion of k in k 2.976 * [taylor]: Taking taylor expansion of 1.0 in k 2.976 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.976 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.976 * [taylor]: Taking taylor expansion of -1 in k 2.976 * [taylor]: Taking taylor expansion of n in k 2.977 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.977 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.977 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.977 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.977 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.977 * [taylor]: Taking taylor expansion of 0.5 in k 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.977 * [taylor]: Taking taylor expansion of k in k 2.978 * [taylor]: Taking taylor expansion of 1.0 in k 2.978 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.978 * [taylor]: Taking taylor expansion of 2.0 in k 2.979 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.980 * [taylor]: Taking taylor expansion of 0.5 in k 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.980 * [taylor]: Taking taylor expansion of k in k 2.980 * [taylor]: Taking taylor expansion of 1.0 in k 2.980 * [taylor]: Taking taylor expansion of (log PI) in k 2.980 * [taylor]: Taking taylor expansion of PI in k 2.982 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.982 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.982 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.982 * [taylor]: Taking taylor expansion of 0.5 in k 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.982 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.982 * [taylor]: Taking taylor expansion of k in k 2.982 * [taylor]: Taking taylor expansion of 1.0 in k 2.982 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.982 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.982 * [taylor]: Taking taylor expansion of -1 in k 2.982 * [taylor]: Taking taylor expansion of n in k 2.983 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.983 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.983 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.983 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.983 * [taylor]: Taking taylor expansion of 0.5 in k 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.983 * [taylor]: Taking taylor expansion of k in k 2.983 * [taylor]: Taking taylor expansion of 1.0 in k 2.983 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.983 * [taylor]: Taking taylor expansion of 2.0 in k 2.985 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.985 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.985 * [taylor]: Taking taylor expansion of 0.5 in k 2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.985 * [taylor]: Taking taylor expansion of k in k 2.985 * [taylor]: Taking taylor expansion of 1.0 in k 2.985 * [taylor]: Taking taylor expansion of (log PI) in k 2.985 * [taylor]: Taking taylor expansion of PI in k 2.988 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 2.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 2.989 * [taylor]: Taking taylor expansion of 0.5 in n 2.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.989 * [taylor]: Taking taylor expansion of k in n 2.989 * [taylor]: Taking taylor expansion of 1.0 in n 2.989 * [taylor]: Taking taylor expansion of (log PI) in n 2.989 * [taylor]: Taking taylor expansion of PI in n 2.990 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.990 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.990 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.990 * [taylor]: Taking taylor expansion of 0.5 in n 2.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.990 * [taylor]: Taking taylor expansion of k in n 2.990 * [taylor]: Taking taylor expansion of 1.0 in n 2.990 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.990 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.990 * [taylor]: Taking taylor expansion of -1 in n 2.990 * [taylor]: Taking taylor expansion of n in n 2.992 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.992 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.992 * [taylor]: Taking taylor expansion of 0.5 in n 2.992 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.992 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.992 * [taylor]: Taking taylor expansion of 2.0 in n 2.993 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.993 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.993 * [taylor]: Taking taylor expansion of k in n 2.993 * [taylor]: Taking taylor expansion of 1.0 in n 2.998 * [taylor]: Taking taylor expansion of 0 in n 3.011 * [taylor]: Taking taylor expansion of 0 in n 3.034 * [taylor]: Taking taylor expansion of 0 in n 3.035 * * * [progress]: simplifying candidates 3.038 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 1) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) 3.048 * * [simplify]: iteration 0 : 961 enodes (cost 1523 ) 3.063 * * [simplify]: iteration 1 : 3925 enodes (cost 1313 ) 3.125 * * [simplify]: iteration 2 : 5003 enodes (cost 1304 ) 3.131 * [simplify]: Simplified to: (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* 0.125 (* (pow k 2) (pow (log PI) 2))) (pow (pow PI 1.0) 0.5) (- (pow PI 0.5) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5))))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* (pow k 2) (* (log n) (log PI))))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma k (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))))) 3.132 * * * [progress]: adding candidates to table 3.660 * * [progress]: iteration 4 / 4 3.660 * * * [progress]: picking best candidate 3.681 * * * * [pick]: Picked # 3.682 * * * [progress]: localizing error 3.703 * * * [progress]: generating rewritten candidates 3.703 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.713 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.765 * * * [progress]: generating series expansions 3.765 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.766 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.766 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.766 * [taylor]: Taking taylor expansion of 0.5 in k 3.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.766 * [taylor]: Taking taylor expansion of 1.0 in k 3.766 * [taylor]: Taking taylor expansion of k in k 3.766 * [taylor]: Taking taylor expansion of (log n) in k 3.766 * [taylor]: Taking taylor expansion of n in k 3.767 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.767 * [taylor]: Taking taylor expansion of 0.5 in n 3.767 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.767 * [taylor]: Taking taylor expansion of 1.0 in n 3.767 * [taylor]: Taking taylor expansion of k in n 3.767 * [taylor]: Taking taylor expansion of (log n) in n 3.767 * [taylor]: Taking taylor expansion of n in n 3.768 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.768 * [taylor]: Taking taylor expansion of 0.5 in n 3.768 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.768 * [taylor]: Taking taylor expansion of 1.0 in n 3.768 * [taylor]: Taking taylor expansion of k in n 3.768 * [taylor]: Taking taylor expansion of (log n) in n 3.768 * [taylor]: Taking taylor expansion of n in n 3.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.769 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.769 * [taylor]: Taking taylor expansion of 0.5 in k 3.769 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.769 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.769 * [taylor]: Taking taylor expansion of k in k 3.769 * [taylor]: Taking taylor expansion of (log n) in k 3.769 * [taylor]: Taking taylor expansion of n in k 3.772 * [taylor]: Taking taylor expansion of 0 in k 3.777 * [taylor]: Taking taylor expansion of 0 in k 3.781 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.781 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.781 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.781 * [taylor]: Taking taylor expansion of 0.5 in k 3.781 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.781 * [taylor]: Taking taylor expansion of 1.0 in k 3.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.781 * [taylor]: Taking taylor expansion of k in k 3.781 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.781 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.782 * [taylor]: Taking taylor expansion of n in k 3.782 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.783 * [taylor]: Taking taylor expansion of 0.5 in n 3.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.783 * [taylor]: Taking taylor expansion of 1.0 in n 3.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.783 * [taylor]: Taking taylor expansion of k in n 3.783 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.783 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.783 * [taylor]: Taking taylor expansion of n in n 3.784 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.784 * [taylor]: Taking taylor expansion of 0.5 in n 3.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.784 * [taylor]: Taking taylor expansion of 1.0 in n 3.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.784 * [taylor]: Taking taylor expansion of k in n 3.784 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.784 * [taylor]: Taking taylor expansion of n in n 3.785 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.785 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.785 * [taylor]: Taking taylor expansion of -0.5 in k 3.785 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.785 * [taylor]: Taking taylor expansion of (log n) in k 3.785 * [taylor]: Taking taylor expansion of n in k 3.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.785 * [taylor]: Taking taylor expansion of 1.0 in k 3.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.785 * [taylor]: Taking taylor expansion of k in k 3.789 * [taylor]: Taking taylor expansion of 0 in k 3.793 * [taylor]: Taking taylor expansion of 0 in k 3.799 * [taylor]: Taking taylor expansion of 0 in k 3.799 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.799 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.800 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.800 * [taylor]: Taking taylor expansion of 0.5 in k 3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.800 * [taylor]: Taking taylor expansion of k in k 3.800 * [taylor]: Taking taylor expansion of 1.0 in k 3.800 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.800 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.800 * [taylor]: Taking taylor expansion of -1 in k 3.800 * [taylor]: Taking taylor expansion of n in k 3.801 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.801 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.801 * [taylor]: Taking taylor expansion of 0.5 in n 3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.801 * [taylor]: Taking taylor expansion of k in n 3.801 * [taylor]: Taking taylor expansion of 1.0 in n 3.801 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.801 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.801 * [taylor]: Taking taylor expansion of -1 in n 3.801 * [taylor]: Taking taylor expansion of n in n 3.803 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.803 * [taylor]: Taking taylor expansion of 0.5 in n 3.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.803 * [taylor]: Taking taylor expansion of k in n 3.803 * [taylor]: Taking taylor expansion of 1.0 in n 3.803 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.803 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.803 * [taylor]: Taking taylor expansion of -1 in n 3.803 * [taylor]: Taking taylor expansion of n in n 3.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.805 * [taylor]: Taking taylor expansion of 0.5 in k 3.805 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.805 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.805 * [taylor]: Taking taylor expansion of (log -1) in k 3.805 * [taylor]: Taking taylor expansion of -1 in k 3.805 * [taylor]: Taking taylor expansion of (log n) in k 3.805 * [taylor]: Taking taylor expansion of n in k 3.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.805 * [taylor]: Taking taylor expansion of k in k 3.805 * [taylor]: Taking taylor expansion of 1.0 in k 3.811 * [taylor]: Taking taylor expansion of 0 in k 3.815 * [taylor]: Taking taylor expansion of 0 in k 3.822 * [taylor]: Taking taylor expansion of 0 in k 3.822 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.823 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.823 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.823 * [taylor]: Taking taylor expansion of 0.5 in k 3.823 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.823 * [taylor]: Taking taylor expansion of 1.0 in k 3.823 * [taylor]: Taking taylor expansion of k in k 3.823 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.823 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.823 * [taylor]: Taking taylor expansion of 2.0 in k 3.823 * [taylor]: Taking taylor expansion of PI in k 3.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.827 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.827 * [taylor]: Taking taylor expansion of 0.5 in k 3.827 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.827 * [taylor]: Taking taylor expansion of 1.0 in k 3.827 * [taylor]: Taking taylor expansion of k in k 3.827 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.827 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.828 * [taylor]: Taking taylor expansion of 2.0 in k 3.828 * [taylor]: Taking taylor expansion of PI in k 3.880 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.880 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.880 * [taylor]: Taking taylor expansion of 0.5 in k 3.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.880 * [taylor]: Taking taylor expansion of 1.0 in k 3.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.880 * [taylor]: Taking taylor expansion of k in k 3.881 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.881 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.881 * [taylor]: Taking taylor expansion of 2.0 in k 3.881 * [taylor]: Taking taylor expansion of PI in k 3.884 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.884 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.884 * [taylor]: Taking taylor expansion of 0.5 in k 3.884 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.885 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.885 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.885 * [taylor]: Taking taylor expansion of 2.0 in k 3.885 * [taylor]: Taking taylor expansion of PI in k 3.890 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.890 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.890 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.890 * [taylor]: Taking taylor expansion of 0.5 in k 3.890 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.890 * [taylor]: Taking taylor expansion of k in k 3.890 * [taylor]: Taking taylor expansion of 1.0 in k 3.890 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.890 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.890 * [taylor]: Taking taylor expansion of 2.0 in k 3.890 * [taylor]: Taking taylor expansion of PI in k 3.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.894 * [taylor]: Taking taylor expansion of 0.5 in k 3.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.894 * [taylor]: Taking taylor expansion of k in k 3.894 * [taylor]: Taking taylor expansion of 1.0 in k 3.894 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.894 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.894 * [taylor]: Taking taylor expansion of 2.0 in k 3.894 * [taylor]: Taking taylor expansion of PI in k 3.899 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.899 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.899 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.899 * [taylor]: Taking taylor expansion of 1.0 in k 3.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.899 * [taylor]: Taking taylor expansion of k in k 3.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.900 * [taylor]: Taking taylor expansion of 1.0 in k 3.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.901 * [taylor]: Taking taylor expansion of k in k 3.912 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.912 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.912 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.913 * [taylor]: Taking taylor expansion of 1.0 in k 3.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.929 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.929 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.929 * [taylor]: Taking taylor expansion of 1.0 in k 3.929 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.929 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.929 * [taylor]: Taking taylor expansion of -1 in k 3.929 * [taylor]: Taking taylor expansion of k in k 3.931 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.931 * [taylor]: Taking taylor expansion of 1.0 in k 3.931 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.931 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.931 * [taylor]: Taking taylor expansion of -1 in k 3.931 * [taylor]: Taking taylor expansion of k in k 3.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.942 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 3.942 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.942 * [taylor]: Taking taylor expansion of 1.0 in k 3.942 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.943 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.943 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.943 * [taylor]: Taking taylor expansion of 1/4 in k 3.943 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.943 * [taylor]: Taking taylor expansion of k in k 3.943 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 3.943 * [taylor]: Taking taylor expansion of 1.0 in k 3.943 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.943 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.944 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.944 * [taylor]: Taking taylor expansion of 1/4 in k 3.944 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.944 * [taylor]: Taking taylor expansion of k in k 4.010 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 4.011 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 4.011 * [taylor]: Taking taylor expansion of 1.0 in k 4.011 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.011 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.011 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.011 * [taylor]: Taking taylor expansion of 1/4 in k 4.011 * [taylor]: Taking taylor expansion of (log k) in k 4.011 * [taylor]: Taking taylor expansion of k in k 4.011 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 4.011 * [taylor]: Taking taylor expansion of 1.0 in k 4.011 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.011 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.011 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.011 * [taylor]: Taking taylor expansion of 1/4 in k 4.011 * [taylor]: Taking taylor expansion of (log k) in k 4.011 * [taylor]: Taking taylor expansion of k in k 4.064 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 4.064 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 4.065 * [taylor]: Taking taylor expansion of 1.0 in k 4.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.065 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.065 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.065 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.065 * [taylor]: Taking taylor expansion of -1 in k 4.065 * [taylor]: Taking taylor expansion of k in k 4.072 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 4.072 * [taylor]: Taking taylor expansion of 1.0 in k 4.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.072 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.072 * [taylor]: Taking taylor expansion of -1 in k 4.072 * [taylor]: Taking taylor expansion of k in k 4.117 * * * [progress]: simplifying candidates 4.124 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 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(cbrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1.0 (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ (/ 1.0 (sqrt (sqrt (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (expm1 (/ 1.0 (sqrt (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) k)) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 4.195 * * * [progress]: adding candidates to table 5.249 * [progress]: [Phase 3 of 3] Extracting. 5.249 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.252 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.252 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.288 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 5.306 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.343 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.378 * * * [regime]: Found split indices: #