19.304 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.153 * [progress]: [Phase 2 of 3] Improving. 0.153 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.155 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.157 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.158 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.161 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.167 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.190 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.190 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.190 * * [progress]: iteration 1 / 4 0.190 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.192 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.251 * * * [progress]: generating series expansions 0.251 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.252 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.252 * [taylor]: Taking taylor expansion of 0.5 in k 0.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.252 * [taylor]: Taking taylor expansion of 1.0 in k 0.252 * [taylor]: Taking taylor expansion of k in k 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.252 * [taylor]: Taking taylor expansion of 2.0 in k 0.252 * [taylor]: Taking taylor expansion of (* n PI) in k 0.252 * [taylor]: Taking taylor expansion of n in k 0.252 * [taylor]: Taking taylor expansion of PI in k 0.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.253 * [taylor]: Taking taylor expansion of 0.5 in n 0.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.253 * [taylor]: Taking taylor expansion of 1.0 in n 0.253 * [taylor]: Taking taylor expansion of k in n 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.253 * [taylor]: Taking taylor expansion of 2.0 in n 0.253 * [taylor]: Taking taylor expansion of (* n PI) in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.253 * [taylor]: Taking taylor expansion of PI in n 0.259 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.259 * [taylor]: Taking taylor expansion of 0.5 in n 0.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.259 * [taylor]: Taking taylor expansion of 1.0 in n 0.259 * [taylor]: Taking taylor expansion of k in n 0.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.259 * [taylor]: Taking taylor expansion of 2.0 in n 0.259 * [taylor]: Taking taylor expansion of (* n PI) in n 0.259 * [taylor]: Taking taylor expansion of n in n 0.259 * [taylor]: Taking taylor expansion of PI in n 0.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.265 * [taylor]: Taking taylor expansion of 0.5 in k 0.265 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.265 * [taylor]: Taking taylor expansion of 1.0 in k 0.265 * [taylor]: Taking taylor expansion of k in k 0.265 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.265 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.265 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.265 * [taylor]: Taking taylor expansion of 2.0 in k 0.265 * [taylor]: Taking taylor expansion of PI in k 0.266 * [taylor]: Taking taylor expansion of (log n) in k 0.266 * [taylor]: Taking taylor expansion of n in k 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.291 * [taylor]: Taking taylor expansion of 0 in k 0.309 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.309 * [taylor]: Taking taylor expansion of 0.5 in k 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.310 * [taylor]: Taking taylor expansion of n in k 0.311 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.311 * [taylor]: Taking taylor expansion of 0.5 in n 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.311 * [taylor]: Taking taylor expansion of k in n 0.311 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.311 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.315 * [taylor]: Taking taylor expansion of 0.5 in n 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.315 * [taylor]: Taking taylor expansion of 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 (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 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.319 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.319 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.319 * [taylor]: Taking taylor expansion of 2.0 in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of (log n) in k 0.320 * [taylor]: Taking taylor expansion of n in k 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [taylor]: Taking taylor expansion of 0 in k 0.351 * [taylor]: Taking taylor expansion of 0 in k 0.353 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.353 * [taylor]: Taking taylor expansion of -2.0 in k 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.353 * [taylor]: Taking taylor expansion of PI in k 0.353 * [taylor]: Taking taylor expansion of n in k 0.354 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.354 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.354 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.354 * [taylor]: Taking taylor expansion of -2.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.358 * [taylor]: Taking taylor expansion of 0.5 in n 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.358 * [taylor]: Taking taylor expansion of k in n 0.358 * [taylor]: Taking taylor expansion of 1.0 in n 0.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of -2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of -2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of (log n) in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.372 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [taylor]: Taking taylor expansion of 0 in k 0.387 * [taylor]: Taking taylor expansion of 0 in k 0.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.388 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* n PI) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* n PI) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.401 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.410 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.410 * [taylor]: Taking taylor expansion of -2.0 in n 0.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.410 * [taylor]: Taking taylor expansion of -2.0 in n 0.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.424 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.425 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.425 * [taylor]: Taking taylor expansion of 1.0 in k 0.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.425 * [taylor]: Taking taylor expansion of k in k 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.426 * [taylor]: Taking taylor expansion of 1.0 in k 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.426 * [taylor]: Taking taylor expansion of k in k 0.437 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.438 * [taylor]: Taking taylor expansion of 1.0 in k 0.438 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.438 * [taylor]: Taking taylor expansion of k in k 0.448 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.449 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.449 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.449 * [taylor]: Taking taylor expansion of -1 in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.450 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.450 * [taylor]: Taking taylor expansion of -1 in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.462 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.462 * [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 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.462 * [taylor]: Taking taylor expansion of 1.0 in n 0.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.462 * [taylor]: Taking taylor expansion of k in n 0.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.463 * [taylor]: Taking taylor expansion of 0.5 in n 0.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.463 * [taylor]: Taking taylor expansion of 1.0 in n 0.463 * [taylor]: Taking taylor expansion of k in n 0.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.463 * [taylor]: Taking taylor expansion of 2.0 in n 0.463 * [taylor]: Taking taylor expansion of (* n PI) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.463 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.469 * [taylor]: Taking taylor expansion of 0.5 in k 0.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.469 * [taylor]: Taking taylor expansion of 1.0 in k 0.469 * [taylor]: Taking taylor expansion of k in k 0.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.469 * [taylor]: Taking taylor expansion of 2.0 in k 0.469 * [taylor]: Taking taylor expansion of (* n PI) in k 0.469 * [taylor]: Taking taylor expansion of n in k 0.469 * [taylor]: Taking taylor expansion of PI in k 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.472 * [taylor]: Taking taylor expansion of 0.5 in k 0.472 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.472 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.472 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.472 * [taylor]: Taking taylor expansion of 2.0 in k 0.472 * [taylor]: Taking taylor expansion of (* n PI) in k 0.472 * [taylor]: Taking taylor expansion of n in k 0.472 * [taylor]: Taking taylor expansion of PI in k 0.473 * [taylor]: Taking taylor expansion of 0 in n 0.479 * [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 0.479 * [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 0.479 * [taylor]: Taking taylor expansion of +nan.0 in n 0.479 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.479 * [taylor]: Taking taylor expansion of 0.5 in n 0.479 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log PI) in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.481 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log n) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.481 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [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 0.507 * [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 0.507 * [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 0.507 * [taylor]: Taking taylor expansion of +nan.0 in n 0.507 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.507 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.507 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log PI) in n 0.507 * [taylor]: Taking taylor expansion of PI in n 0.509 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.509 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log n) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.510 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [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 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log PI) in n 0.517 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log n) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.523 * [taylor]: Taking taylor expansion of (* n PI) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of PI in n 0.572 * [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 0.572 * [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 0.572 * [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 0.572 * [taylor]: Taking taylor expansion of +nan.0 in n 0.572 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.572 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.572 * [taylor]: Taking taylor expansion of 0.5 in n 0.572 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.572 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.572 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.572 * [taylor]: Taking taylor expansion of 1.0 in n 0.572 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.572 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.574 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (log n) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log PI) in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.580 * [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 0.580 * [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 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of +nan.0 in n 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.580 * [taylor]: Taking taylor expansion of 0.5 in n 0.580 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.580 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.580 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.580 * [taylor]: Taking taylor expansion of 1.0 in n 0.580 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.582 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log PI) in n 0.582 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log n) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.594 * [taylor]: Taking taylor expansion of (* n PI) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.597 * [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 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of +nan.0 in n 0.597 * [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 0.597 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.597 * [taylor]: Taking taylor expansion of 0.5 in n 0.597 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.597 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.597 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.597 * [taylor]: Taking taylor expansion of 2.0 in n 0.599 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.599 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (log PI) in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.601 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log n) in n 0.601 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.605 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (* n PI) in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.683 * [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 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.683 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.683 * [taylor]: Taking taylor expansion of 0.5 in n 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.683 * [taylor]: Taking taylor expansion of 2.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.683 * [taylor]: Taking taylor expansion of PI in n 0.683 * [taylor]: Taking taylor expansion of n in n 0.687 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.687 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.687 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.687 * [taylor]: Taking taylor expansion of k in k 0.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.688 * [taylor]: Taking taylor expansion of 0.5 in k 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.688 * [taylor]: Taking taylor expansion of 1.0 in k 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.688 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.689 * [taylor]: Taking taylor expansion of 2.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [taylor]: Taking taylor expansion of n in k 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.690 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.691 * [taylor]: Taking taylor expansion of 0.5 in k 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.691 * [taylor]: Taking taylor expansion of 2.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.693 * [taylor]: Taking taylor expansion of 0 in n 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.694 * [taylor]: Taking taylor expansion of 0.5 in n 0.694 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.694 * [taylor]: Taking taylor expansion of 2.0 in n 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.695 * [taylor]: Taking taylor expansion of 1.0 in n 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.695 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.704 * [taylor]: Taking taylor expansion of +nan.0 in n 0.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.705 * [taylor]: Taking taylor expansion of 1.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.705 * [taylor]: Taking taylor expansion of k in n 0.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) 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 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.723 * [taylor]: Taking taylor expansion of k in n 0.732 * [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 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.732 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of -2.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.736 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.736 * [taylor]: Taking taylor expansion of -1 in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.737 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.737 * [taylor]: Taking taylor expansion of 0.5 in k 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.738 * [taylor]: Taking taylor expansion of -2.0 in k 0.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.738 * [taylor]: Taking taylor expansion of PI in k 0.738 * [taylor]: Taking taylor expansion of n in k 0.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.738 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.738 * [taylor]: Taking taylor expansion of -1 in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.740 * [taylor]: Taking taylor expansion of 0.5 in k 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.740 * [taylor]: Taking taylor expansion of -2.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.740 * [taylor]: Taking taylor expansion of n in k 0.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.741 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.741 * [taylor]: Taking taylor expansion of -1 in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.743 * [taylor]: Taking taylor expansion of -2.0 in n 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.743 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.752 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.752 * [taylor]: Taking taylor expansion of +nan.0 in n 0.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of 0.5 in n 0.752 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of -2.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.776 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.776 * [taylor]: Taking taylor expansion of +nan.0 in n 0.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.776 * [taylor]: Taking taylor expansion of 0.5 in n 0.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.776 * [taylor]: Taking taylor expansion of 1.0 in n 0.776 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.776 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.776 * [taylor]: Taking taylor expansion of -2.0 in n 0.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.776 * [taylor]: Taking taylor expansion of PI in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.786 * * * [progress]: simplifying candidates 0.788 * [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 (* (* 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))) (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 (* (/ 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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) 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))) (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))))))))) 0.886 * * * [progress]: adding candidates to table 1.484 * * [progress]: iteration 2 / 4 1.484 * * * [progress]: picking best candidate 1.517 * * * * [pick]: Picked # 1.517 * * * [progress]: localizing error 1.535 * * * [progress]: generating rewritten candidates 1.535 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.548 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.568 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.586 * * * [progress]: generating series expansions 1.586 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.587 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.587 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.587 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.587 * [taylor]: Taking taylor expansion of 0.25 in k 1.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.587 * [taylor]: Taking taylor expansion of 1.0 in k 1.587 * [taylor]: Taking taylor expansion of k in k 1.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.587 * [taylor]: Taking taylor expansion of 2.0 in k 1.587 * [taylor]: Taking taylor expansion of (* n PI) in k 1.587 * [taylor]: Taking taylor expansion of n in k 1.587 * [taylor]: Taking taylor expansion of PI in k 1.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.588 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.588 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.588 * [taylor]: Taking taylor expansion of 0.25 in n 1.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.588 * [taylor]: Taking taylor expansion of 1.0 in n 1.588 * [taylor]: Taking taylor expansion of k in n 1.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.588 * [taylor]: Taking taylor expansion of 2.0 in n 1.588 * [taylor]: Taking taylor expansion of (* n PI) in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.588 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.594 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.594 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.594 * [taylor]: Taking taylor expansion of 0.25 in n 1.594 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.594 * [taylor]: Taking taylor expansion of 1.0 in n 1.594 * [taylor]: Taking taylor expansion of k in n 1.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (* n PI) in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.605 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.605 * [taylor]: Taking taylor expansion of 0.25 in k 1.605 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.606 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.606 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.606 * [taylor]: Taking taylor expansion of 2.0 in k 1.606 * [taylor]: Taking taylor expansion of PI in k 1.607 * [taylor]: Taking taylor expansion of (log n) in k 1.607 * [taylor]: Taking taylor expansion of n in k 1.616 * [taylor]: Taking taylor expansion of 0 in k 1.632 * [taylor]: Taking taylor expansion of 0 in k 1.651 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.651 * [taylor]: Taking taylor expansion of 0.25 in k 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.651 * [taylor]: Taking taylor expansion of 1.0 in k 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.651 * [taylor]: Taking taylor expansion of k in k 1.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.652 * [taylor]: Taking taylor expansion of 2.0 in k 1.652 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.652 * [taylor]: Taking taylor expansion of PI in k 1.652 * [taylor]: Taking taylor expansion of n in k 1.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.653 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.653 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.653 * [taylor]: Taking taylor expansion of 0.25 in n 1.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.653 * [taylor]: Taking taylor expansion of 1.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.653 * [taylor]: Taking taylor expansion of k in n 1.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of 2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.657 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.657 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.657 * [taylor]: Taking taylor expansion of 0.25 in n 1.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.657 * [taylor]: Taking taylor expansion of 1.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.657 * [taylor]: Taking taylor expansion of k in n 1.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.657 * [taylor]: Taking taylor expansion of 2.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.661 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.661 * [taylor]: Taking taylor expansion of 0.25 in k 1.661 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.661 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.661 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.661 * [taylor]: Taking taylor expansion of 2.0 in k 1.661 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of (log n) in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.662 * [taylor]: Taking taylor expansion of k in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.679 * [taylor]: Taking taylor expansion of 0 in k 1.693 * [taylor]: Taking taylor expansion of 0 in k 1.695 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.695 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.695 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.695 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.695 * [taylor]: Taking taylor expansion of 0.25 in k 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.695 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.695 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.695 * [taylor]: Taking taylor expansion of -2.0 in k 1.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.695 * [taylor]: Taking taylor expansion of PI in k 1.695 * [taylor]: Taking taylor expansion of n in k 1.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.696 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.696 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.696 * [taylor]: Taking taylor expansion of 0.25 in n 1.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.696 * [taylor]: Taking taylor expansion of k in n 1.696 * [taylor]: Taking taylor expansion of 1.0 in n 1.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.696 * [taylor]: Taking taylor expansion of -2.0 in n 1.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.700 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.700 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.700 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.700 * [taylor]: Taking taylor expansion of 0.25 in n 1.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.700 * [taylor]: Taking taylor expansion of k in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.700 * [taylor]: Taking taylor expansion of -2.0 in n 1.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.700 * [taylor]: Taking taylor expansion of PI in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.704 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.704 * [taylor]: Taking taylor expansion of 0.25 in k 1.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.704 * [taylor]: Taking taylor expansion of k in k 1.704 * [taylor]: Taking taylor expansion of 1.0 in k 1.704 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.704 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.704 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.704 * [taylor]: Taking taylor expansion of -2.0 in k 1.705 * [taylor]: Taking taylor expansion of PI in k 1.705 * [taylor]: Taking taylor expansion of (log n) in k 1.705 * [taylor]: Taking taylor expansion of n in k 1.714 * [taylor]: Taking taylor expansion of 0 in k 1.721 * [taylor]: Taking taylor expansion of 0 in k 1.730 * [taylor]: Taking taylor expansion of 0 in k 1.731 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.732 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.732 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.732 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.732 * [taylor]: Taking taylor expansion of 0.25 in k 1.732 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.732 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.732 * [taylor]: Taking taylor expansion of 2.0 in k 1.732 * [taylor]: Taking taylor expansion of (* n PI) in k 1.732 * [taylor]: Taking taylor expansion of n in k 1.732 * [taylor]: Taking taylor expansion of PI in k 1.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.733 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.733 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.733 * [taylor]: Taking taylor expansion of 0.25 in n 1.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.733 * [taylor]: Taking taylor expansion of 1.0 in n 1.733 * [taylor]: Taking taylor expansion of k in n 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.733 * [taylor]: Taking taylor expansion of 2.0 in n 1.733 * [taylor]: Taking taylor expansion of (* n PI) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.738 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.738 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.738 * [taylor]: Taking taylor expansion of 0.25 in n 1.738 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.739 * [taylor]: Taking taylor expansion of k in n 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.739 * [taylor]: Taking taylor expansion of 2.0 in n 1.739 * [taylor]: Taking taylor expansion of (* n PI) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.739 * [taylor]: Taking taylor expansion of PI in n 1.744 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.744 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.744 * [taylor]: Taking taylor expansion of 0.25 in k 1.744 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.744 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) 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 1.745 * [taylor]: Taking taylor expansion of (log n) in k 1.745 * [taylor]: Taking taylor expansion of n in k 1.755 * [taylor]: Taking taylor expansion of 0 in k 1.771 * [taylor]: Taking taylor expansion of 0 in k 1.796 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.796 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.796 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.796 * [taylor]: Taking taylor expansion of 0.25 in k 1.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.796 * [taylor]: Taking taylor expansion of 1.0 in k 1.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.796 * [taylor]: Taking taylor expansion of k in k 1.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.797 * [taylor]: Taking taylor expansion of 2.0 in k 1.797 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.797 * [taylor]: Taking taylor expansion of PI in k 1.797 * [taylor]: Taking taylor expansion of n in k 1.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.798 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.798 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.798 * [taylor]: Taking taylor expansion of 0.25 in n 1.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.798 * [taylor]: Taking taylor expansion of 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 (log (* 2.0 (/ PI n))) in n 1.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.798 * [taylor]: Taking taylor expansion of 2.0 in n 1.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.798 * [taylor]: Taking taylor expansion of PI in n 1.798 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.802 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.802 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.802 * [taylor]: Taking taylor expansion of 0.25 in n 1.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.802 * [taylor]: Taking taylor expansion of k in n 1.802 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.802 * [taylor]: Taking taylor expansion of 2.0 in n 1.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.806 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.806 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.806 * [taylor]: Taking taylor expansion of 0.25 in k 1.806 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.806 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.806 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.806 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.806 * [taylor]: Taking taylor expansion of 2.0 in k 1.806 * [taylor]: Taking taylor expansion of PI in k 1.807 * [taylor]: Taking taylor expansion of (log n) in k 1.807 * [taylor]: Taking taylor expansion of n in k 1.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.807 * [taylor]: Taking taylor expansion of 1.0 in k 1.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.807 * [taylor]: Taking taylor expansion of k in k 1.817 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [taylor]: Taking taylor expansion of 0 in k 1.833 * [taylor]: Taking taylor expansion of 0 in k 1.834 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.834 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.834 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.834 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.834 * [taylor]: Taking taylor expansion of 0.25 in k 1.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.834 * [taylor]: Taking taylor expansion of k in k 1.835 * [taylor]: Taking taylor expansion of 1.0 in k 1.835 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.835 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.835 * [taylor]: Taking taylor expansion of -2.0 in k 1.835 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.835 * [taylor]: Taking taylor expansion of PI in k 1.835 * [taylor]: Taking taylor expansion of n in k 1.836 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.836 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.836 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.836 * [taylor]: Taking taylor expansion of 0.25 in n 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.836 * [taylor]: Taking taylor expansion of k in n 1.836 * [taylor]: Taking taylor expansion of 1.0 in n 1.836 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.836 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.836 * [taylor]: Taking taylor expansion of -2.0 in n 1.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.839 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.839 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.840 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.840 * [taylor]: Taking taylor expansion of 0.25 in n 1.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.840 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.840 * [taylor]: Taking taylor expansion of k in n 1.840 * [taylor]: Taking taylor expansion of 1.0 in n 1.840 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.840 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.840 * [taylor]: Taking taylor expansion of -2.0 in n 1.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.840 * [taylor]: Taking taylor expansion of PI in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.843 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.843 * [taylor]: Taking taylor expansion of 0.25 in k 1.843 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.843 * [taylor]: Taking taylor expansion of k in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.844 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.844 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.844 * [taylor]: Taking taylor expansion of -2.0 in k 1.844 * [taylor]: Taking taylor expansion of PI in k 1.845 * [taylor]: Taking taylor expansion of (log n) in k 1.845 * [taylor]: Taking taylor expansion of n in k 1.854 * [taylor]: Taking taylor expansion of 0 in k 1.866 * [taylor]: Taking taylor expansion of 0 in k 1.875 * [taylor]: Taking taylor expansion of 0 in k 1.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.876 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.889 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.889 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.889 * [taylor]: Taking taylor expansion of 2.0 in n 1.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.889 * [taylor]: Taking taylor expansion of PI in n 1.889 * [taylor]: Taking taylor expansion of n in n 1.889 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.889 * [taylor]: Taking taylor expansion of 2.0 in n 1.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.889 * [taylor]: Taking taylor expansion of PI in n 1.889 * [taylor]: Taking taylor expansion of n in n 1.898 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.898 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.898 * [taylor]: Taking taylor expansion of -2.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of -2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.907 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.907 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.908 * [taylor]: Taking taylor expansion of 2.0 in n 1.908 * [taylor]: Taking taylor expansion of (* n PI) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.908 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.908 * [taylor]: Taking taylor expansion of 2.0 in n 1.908 * [taylor]: Taking taylor expansion of (* n PI) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.920 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of 2.0 in n 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.920 * [taylor]: Taking taylor expansion of 2.0 in n 1.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.920 * [taylor]: Taking taylor expansion of PI in n 1.920 * [taylor]: Taking taylor expansion of n in n 1.929 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.929 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.929 * [taylor]: Taking taylor expansion of -2.0 in n 1.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.929 * [taylor]: Taking taylor expansion of PI in n 1.929 * [taylor]: Taking taylor expansion of n in n 1.930 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.930 * [taylor]: Taking taylor expansion of -2.0 in n 1.930 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.930 * [taylor]: Taking taylor expansion of PI in n 1.930 * [taylor]: Taking taylor expansion of n in n 1.938 * * * [progress]: simplifying candidates 1.947 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* 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(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.023 * * * [progress]: adding candidates to table 2.739 * * [progress]: iteration 3 / 4 2.740 * * * [progress]: picking best candidate 2.767 * * * * [pick]: Picked # 2.767 * * * [progress]: localizing error 2.789 * * * [progress]: generating rewritten candidates 2.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 2.832 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1) 2.915 * * * [progress]: generating series expansions 2.915 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.916 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.916 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.916 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.916 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.916 * [taylor]: Taking taylor expansion of 0.25 in k 2.916 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.916 * [taylor]: Taking taylor expansion of 1.0 in k 2.916 * [taylor]: Taking taylor expansion of k in k 2.916 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.916 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.916 * [taylor]: Taking taylor expansion of 2.0 in k 2.916 * [taylor]: Taking taylor expansion of (* n PI) in k 2.916 * [taylor]: Taking taylor expansion of n in k 2.916 * [taylor]: Taking taylor expansion of PI in k 2.917 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.917 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.917 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.917 * [taylor]: Taking taylor expansion of 0.25 in n 2.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.917 * [taylor]: Taking taylor expansion of 1.0 in n 2.917 * [taylor]: Taking taylor expansion of k in n 2.917 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.917 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.917 * [taylor]: Taking taylor expansion of 2.0 in n 2.917 * [taylor]: Taking taylor expansion of (* n PI) in n 2.917 * [taylor]: Taking taylor expansion of n in n 2.917 * [taylor]: Taking taylor expansion of PI in n 2.923 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.923 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.923 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.923 * [taylor]: Taking taylor expansion of 0.25 in n 2.923 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.923 * [taylor]: Taking taylor expansion of 1.0 in n 2.923 * [taylor]: Taking taylor expansion of k in n 2.923 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.923 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.923 * [taylor]: Taking taylor expansion of 2.0 in n 2.923 * [taylor]: Taking taylor expansion of (* n PI) in n 2.923 * [taylor]: Taking taylor expansion of n in n 2.923 * [taylor]: Taking taylor expansion of PI in n 2.928 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.928 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.928 * [taylor]: Taking taylor expansion of 0.25 in k 2.928 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.928 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.928 * [taylor]: Taking taylor expansion of 1.0 in k 2.928 * [taylor]: Taking taylor expansion of k in k 2.928 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.928 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.928 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.928 * [taylor]: Taking taylor expansion of 2.0 in k 2.929 * [taylor]: Taking taylor expansion of PI in k 2.929 * [taylor]: Taking taylor expansion of (log n) in k 2.929 * [taylor]: Taking taylor expansion of n in k 2.939 * [taylor]: Taking taylor expansion of 0 in k 2.954 * [taylor]: Taking taylor expansion of 0 in k 2.981 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.982 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.982 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.982 * [taylor]: Taking taylor expansion of 0.25 in k 2.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.982 * [taylor]: Taking taylor expansion of 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 (log (* 2.0 (/ PI n))) in k 2.982 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.982 * [taylor]: Taking taylor expansion of 2.0 in k 2.982 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.982 * [taylor]: Taking taylor expansion of PI in k 2.982 * [taylor]: Taking taylor expansion of n in k 2.983 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.983 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.983 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.983 * [taylor]: Taking taylor expansion of 0.25 in n 2.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.983 * [taylor]: Taking taylor expansion of 1.0 in n 2.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.983 * [taylor]: Taking taylor expansion of k in n 2.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.983 * [taylor]: Taking taylor expansion of 2.0 in n 2.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.983 * [taylor]: Taking taylor expansion of PI in n 2.983 * [taylor]: Taking taylor expansion of n in n 2.987 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.987 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.987 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.987 * [taylor]: Taking taylor expansion of 0.25 in n 2.987 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.987 * [taylor]: Taking taylor expansion of 1.0 in n 2.987 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.987 * [taylor]: Taking taylor expansion of k in n 2.987 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.987 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.987 * [taylor]: Taking taylor expansion of 2.0 in n 2.987 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.987 * [taylor]: Taking taylor expansion of PI in n 2.987 * [taylor]: Taking taylor expansion of n in n 2.991 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.991 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.991 * [taylor]: Taking taylor expansion of 0.25 in k 2.991 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.991 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.991 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.991 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.991 * [taylor]: Taking taylor expansion of 2.0 in k 2.991 * [taylor]: Taking taylor expansion of PI in k 2.992 * [taylor]: Taking taylor expansion of (log n) in k 2.992 * [taylor]: Taking taylor expansion of n in k 2.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.992 * [taylor]: Taking taylor expansion of 1.0 in k 2.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.992 * [taylor]: Taking taylor expansion of k in k 3.001 * [taylor]: Taking taylor expansion of 0 in k 3.008 * [taylor]: Taking taylor expansion of 0 in k 3.017 * [taylor]: Taking taylor expansion of 0 in k 3.019 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.019 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.019 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.019 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.019 * [taylor]: Taking taylor expansion of 0.25 in k 3.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.019 * [taylor]: Taking taylor expansion of k in k 3.019 * [taylor]: Taking taylor expansion of 1.0 in k 3.019 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.019 * [taylor]: Taking taylor expansion of -2.0 in k 3.019 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.019 * [taylor]: Taking taylor expansion of PI in k 3.019 * [taylor]: Taking taylor expansion of n in k 3.020 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.020 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.020 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.020 * [taylor]: Taking taylor expansion of 0.25 in n 3.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.020 * [taylor]: Taking taylor expansion of k in n 3.020 * [taylor]: Taking taylor expansion of 1.0 in n 3.020 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.020 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.020 * [taylor]: Taking taylor expansion of -2.0 in n 3.020 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.020 * [taylor]: Taking taylor expansion of PI in n 3.020 * [taylor]: Taking taylor expansion of n in n 3.024 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.024 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.024 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.024 * [taylor]: Taking taylor expansion of 0.25 in n 3.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.024 * [taylor]: Taking taylor expansion of k in n 3.024 * [taylor]: Taking taylor expansion of 1.0 in n 3.024 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.024 * [taylor]: Taking taylor expansion of -2.0 in n 3.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.024 * [taylor]: Taking taylor expansion of PI in n 3.024 * [taylor]: Taking taylor expansion of n in n 3.028 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.028 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.028 * [taylor]: Taking taylor expansion of 0.25 in k 3.028 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.028 * [taylor]: Taking taylor expansion of k in k 3.028 * [taylor]: Taking taylor expansion of 1.0 in k 3.028 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.028 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.028 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.028 * [taylor]: Taking taylor expansion of -2.0 in k 3.028 * [taylor]: Taking taylor expansion of PI in k 3.029 * [taylor]: Taking taylor expansion of (log n) in k 3.029 * [taylor]: Taking taylor expansion of n in k 3.038 * [taylor]: Taking taylor expansion of 0 in k 3.045 * [taylor]: Taking taylor expansion of 0 in k 3.055 * [taylor]: Taking taylor expansion of 0 in k 3.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 3.056 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 3.056 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 3.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.056 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.056 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 3.056 * [taylor]: Taking taylor expansion of 0.125 in k 3.056 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.056 * [taylor]: Taking taylor expansion of 1.0 in k 3.056 * [taylor]: Taking taylor expansion of k in k 3.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.056 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.056 * [taylor]: Taking taylor expansion of 2.0 in k 3.056 * [taylor]: Taking taylor expansion of (* n PI) in k 3.056 * [taylor]: Taking taylor expansion of n in k 3.056 * [taylor]: Taking taylor expansion of PI in k 3.063 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 3.063 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.063 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.063 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 3.063 * [taylor]: Taking taylor expansion of 0.125 in n 3.063 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.063 * [taylor]: Taking taylor expansion of 1.0 in n 3.063 * [taylor]: Taking taylor expansion of k in n 3.063 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.063 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.063 * [taylor]: Taking taylor expansion of 2.0 in n 3.063 * [taylor]: Taking taylor expansion of (* n PI) in n 3.063 * [taylor]: Taking taylor expansion of n in n 3.063 * [taylor]: Taking taylor expansion of PI in n 3.069 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 3.069 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.069 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.069 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 3.069 * [taylor]: Taking taylor expansion of 0.125 in n 3.069 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.069 * [taylor]: Taking taylor expansion of 1.0 in n 3.069 * [taylor]: Taking taylor expansion of k in n 3.069 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.069 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.069 * [taylor]: Taking taylor expansion of 2.0 in n 3.069 * [taylor]: Taking taylor expansion of (* n PI) in n 3.069 * [taylor]: Taking taylor expansion of n in n 3.069 * [taylor]: Taking taylor expansion of PI in n 3.075 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.075 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.075 * [taylor]: Taking taylor expansion of 0.125 in k 3.075 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.075 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.075 * [taylor]: Taking taylor expansion of 1.0 in k 3.075 * [taylor]: Taking taylor expansion of k in k 3.075 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.075 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.075 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.075 * [taylor]: Taking taylor expansion of 2.0 in k 3.075 * [taylor]: Taking taylor expansion of PI in k 3.076 * [taylor]: Taking taylor expansion of (log n) in k 3.076 * [taylor]: Taking taylor expansion of n in k 3.085 * [taylor]: Taking taylor expansion of 0 in k 3.101 * [taylor]: Taking taylor expansion of 0 in k 3.120 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 3.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 3.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.120 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.120 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 3.120 * [taylor]: Taking taylor expansion of 0.125 in k 3.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.120 * [taylor]: Taking taylor expansion of 1.0 in k 3.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.120 * [taylor]: Taking taylor expansion of k in k 3.120 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.120 * [taylor]: Taking taylor expansion of 2.0 in k 3.120 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.120 * [taylor]: Taking taylor expansion of PI in k 3.120 * [taylor]: Taking taylor expansion of n in k 3.121 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.121 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.121 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.121 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.121 * [taylor]: Taking taylor expansion of 0.125 in n 3.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.121 * [taylor]: Taking taylor expansion of 1.0 in n 3.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.121 * [taylor]: Taking taylor expansion of k in n 3.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of 2.0 in n 3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.125 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.125 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.125 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.125 * [taylor]: Taking taylor expansion of 0.125 in n 3.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.125 * [taylor]: Taking taylor expansion of 1.0 in n 3.125 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.125 * [taylor]: Taking taylor expansion of k in n 3.125 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.125 * [taylor]: Taking taylor expansion of 2.0 in n 3.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.125 * [taylor]: Taking taylor expansion of PI in n 3.125 * [taylor]: Taking taylor expansion of n in n 3.129 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.129 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.129 * [taylor]: Taking taylor expansion of 0.125 in k 3.129 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.129 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.129 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.129 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.129 * [taylor]: Taking taylor expansion of 2.0 in k 3.129 * [taylor]: Taking taylor expansion of PI in k 3.130 * [taylor]: Taking taylor expansion of (log n) in k 3.130 * [taylor]: Taking taylor expansion of n in k 3.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.130 * [taylor]: Taking taylor expansion of 1.0 in k 3.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.130 * [taylor]: Taking taylor expansion of k in k 3.140 * [taylor]: Taking taylor expansion of 0 in k 3.153 * [taylor]: Taking taylor expansion of 0 in k 3.162 * [taylor]: Taking taylor expansion of 0 in k 3.163 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 3.163 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 3.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.163 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.164 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 3.164 * [taylor]: Taking taylor expansion of 0.125 in k 3.164 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.164 * [taylor]: Taking taylor expansion of k in k 3.164 * [taylor]: Taking taylor expansion of 1.0 in k 3.164 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.164 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.164 * [taylor]: Taking taylor expansion of -2.0 in k 3.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.164 * [taylor]: Taking taylor expansion of PI in k 3.164 * [taylor]: Taking taylor expansion of n in k 3.165 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.165 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.165 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.165 * [taylor]: Taking taylor expansion of 0.125 in n 3.165 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.165 * [taylor]: Taking taylor expansion of k in n 3.165 * [taylor]: Taking taylor expansion of 1.0 in n 3.165 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.165 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.165 * [taylor]: Taking taylor expansion of -2.0 in n 3.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.165 * [taylor]: Taking taylor expansion of PI in n 3.165 * [taylor]: Taking taylor expansion of n in n 3.169 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.169 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.169 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.169 * [taylor]: Taking taylor expansion of 0.125 in n 3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.169 * [taylor]: Taking taylor expansion of k in n 3.169 * [taylor]: Taking taylor expansion of 1.0 in n 3.169 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.169 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.169 * [taylor]: Taking taylor expansion of -2.0 in n 3.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.169 * [taylor]: Taking taylor expansion of PI in n 3.169 * [taylor]: Taking taylor expansion of n in n 3.173 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.173 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.173 * [taylor]: Taking taylor expansion of 0.125 in k 3.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.173 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.173 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.173 * [taylor]: Taking taylor expansion of k in k 3.173 * [taylor]: Taking taylor expansion of 1.0 in k 3.173 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.174 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.174 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.174 * [taylor]: Taking taylor expansion of -2.0 in k 3.174 * [taylor]: Taking taylor expansion of PI in k 3.175 * [taylor]: Taking taylor expansion of (log n) in k 3.175 * [taylor]: Taking taylor expansion of n in k 3.183 * [taylor]: Taking taylor expansion of 0 in k 3.190 * [taylor]: Taking taylor expansion of 0 in k 3.199 * [taylor]: Taking taylor expansion of 0 in k 3.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.201 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 3.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 3.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.201 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.201 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 3.201 * [taylor]: Taking taylor expansion of 0.125 in k 3.201 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.201 * [taylor]: Taking taylor expansion of 1.0 in k 3.201 * [taylor]: Taking taylor expansion of k in k 3.201 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.201 * [taylor]: Taking taylor expansion of 2.0 in k 3.201 * [taylor]: Taking taylor expansion of (* n PI) in k 3.201 * [taylor]: Taking taylor expansion of n in k 3.201 * [taylor]: Taking taylor expansion of PI in k 3.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 3.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.202 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.202 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 3.202 * [taylor]: Taking taylor expansion of 0.125 in n 3.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.202 * [taylor]: Taking taylor expansion of 1.0 in n 3.202 * [taylor]: Taking taylor expansion of k in n 3.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.202 * [taylor]: Taking taylor expansion of 2.0 in n 3.202 * [taylor]: Taking taylor expansion of (* n PI) in n 3.202 * [taylor]: Taking taylor expansion of n in n 3.202 * [taylor]: Taking taylor expansion of PI in n 3.208 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 3.208 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.208 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.208 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 3.208 * [taylor]: Taking taylor expansion of 0.125 in n 3.208 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.208 * [taylor]: Taking taylor expansion of 1.0 in n 3.208 * [taylor]: Taking taylor expansion of k in n 3.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.208 * [taylor]: Taking taylor expansion of 2.0 in n 3.208 * [taylor]: Taking taylor expansion of (* n PI) in n 3.208 * [taylor]: Taking taylor expansion of n in n 3.208 * [taylor]: Taking taylor expansion of PI in n 3.213 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.213 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.213 * [taylor]: Taking taylor expansion of 0.125 in k 3.214 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.214 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.214 * [taylor]: Taking taylor expansion of 1.0 in k 3.214 * [taylor]: Taking taylor expansion of k in k 3.214 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.214 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.214 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.214 * [taylor]: Taking taylor expansion of 2.0 in k 3.214 * [taylor]: Taking taylor expansion of PI in k 3.215 * [taylor]: Taking taylor expansion of (log n) in k 3.215 * [taylor]: Taking taylor expansion of n in k 3.224 * [taylor]: Taking taylor expansion of 0 in k 3.246 * [taylor]: Taking taylor expansion of 0 in k 3.266 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 3.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 3.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.266 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.266 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 3.266 * [taylor]: Taking taylor expansion of 0.125 in k 3.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.266 * [taylor]: Taking taylor expansion of 1.0 in k 3.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.266 * [taylor]: Taking taylor expansion of k in k 3.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.266 * [taylor]: Taking taylor expansion of 2.0 in k 3.266 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.266 * [taylor]: Taking taylor expansion of PI in k 3.266 * [taylor]: Taking taylor expansion of n in k 3.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.267 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.267 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.267 * [taylor]: Taking taylor expansion of 0.125 in n 3.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.267 * [taylor]: Taking taylor expansion of 1.0 in n 3.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.267 * [taylor]: Taking taylor expansion of k in n 3.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.267 * [taylor]: Taking taylor expansion of 2.0 in n 3.267 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.267 * [taylor]: Taking taylor expansion of PI in n 3.267 * [taylor]: Taking taylor expansion of n in n 3.271 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.271 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.271 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.271 * [taylor]: Taking taylor expansion of 0.125 in n 3.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.271 * [taylor]: Taking taylor expansion of 1.0 in n 3.271 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.271 * [taylor]: Taking taylor expansion of k in n 3.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.271 * [taylor]: Taking taylor expansion of 2.0 in n 3.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.271 * [taylor]: Taking taylor expansion of PI in n 3.271 * [taylor]: Taking taylor expansion of n in n 3.275 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.275 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.275 * [taylor]: Taking taylor expansion of 0.125 in k 3.275 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.275 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.275 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.275 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.275 * [taylor]: Taking taylor expansion of 2.0 in k 3.275 * [taylor]: Taking taylor expansion of PI in k 3.276 * [taylor]: Taking taylor expansion of (log n) in k 3.276 * [taylor]: Taking taylor expansion of n in k 3.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.276 * [taylor]: Taking taylor expansion of 1.0 in k 3.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.276 * [taylor]: Taking taylor expansion of k in k 3.286 * [taylor]: Taking taylor expansion of 0 in k 3.293 * [taylor]: Taking taylor expansion of 0 in k 3.302 * [taylor]: Taking taylor expansion of 0 in k 3.303 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 3.303 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 3.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.303 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.303 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 3.303 * [taylor]: Taking taylor expansion of 0.125 in k 3.303 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.303 * [taylor]: Taking taylor expansion of k in k 3.303 * [taylor]: Taking taylor expansion of 1.0 in k 3.303 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.303 * [taylor]: Taking taylor expansion of -2.0 in k 3.303 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.303 * [taylor]: Taking taylor expansion of PI in k 3.303 * [taylor]: Taking taylor expansion of n in k 3.304 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.304 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.304 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.304 * [taylor]: Taking taylor expansion of 0.125 in n 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.304 * [taylor]: Taking taylor expansion of k in n 3.304 * [taylor]: Taking taylor expansion of 1.0 in n 3.304 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.305 * [taylor]: Taking taylor expansion of -2.0 in n 3.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.305 * [taylor]: Taking taylor expansion of PI in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.308 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.308 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.308 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.308 * [taylor]: Taking taylor expansion of 0.125 in n 3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.308 * [taylor]: Taking taylor expansion of k in n 3.308 * [taylor]: Taking taylor expansion of 1.0 in n 3.308 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.308 * [taylor]: Taking taylor expansion of -2.0 in n 3.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.308 * [taylor]: Taking taylor expansion of PI in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.312 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.312 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.312 * [taylor]: Taking taylor expansion of 0.125 in k 3.312 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.312 * [taylor]: Taking taylor expansion of k in k 3.312 * [taylor]: Taking taylor expansion of 1.0 in k 3.312 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.312 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.313 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.313 * [taylor]: Taking taylor expansion of -2.0 in k 3.313 * [taylor]: Taking taylor expansion of PI in k 3.313 * [taylor]: Taking taylor expansion of (log n) in k 3.313 * [taylor]: Taking taylor expansion of n in k 3.328 * [taylor]: Taking taylor expansion of 0 in k 3.335 * [taylor]: Taking taylor expansion of 0 in k 3.344 * [taylor]: Taking taylor expansion of 0 in k 3.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1) 3.345 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.345 * [taylor]: Taking taylor expansion of 2.0 in n 3.345 * [taylor]: Taking taylor expansion of (* n PI) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.345 * [taylor]: Taking taylor expansion of PI in n 3.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.345 * [taylor]: Taking taylor expansion of 2.0 in n 3.345 * [taylor]: Taking taylor expansion of (* n PI) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.345 * [taylor]: Taking taylor expansion of PI in n 3.357 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.357 * [taylor]: Taking taylor expansion of 2.0 in n 3.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.357 * [taylor]: Taking taylor expansion of PI in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.358 * [taylor]: Taking taylor expansion of 2.0 in n 3.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.358 * [taylor]: Taking taylor expansion of PI in n 3.358 * [taylor]: Taking taylor expansion of n in n 3.367 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.367 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.367 * [taylor]: Taking taylor expansion of -2.0 in n 3.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.367 * [taylor]: Taking taylor expansion of PI in n 3.367 * [taylor]: Taking taylor expansion of n in n 3.367 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.367 * [taylor]: Taking taylor expansion of -2.0 in n 3.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.367 * [taylor]: Taking taylor expansion of PI in n 3.367 * [taylor]: Taking taylor expansion of n in n 3.376 * * * [progress]: simplifying candidates 3.384 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 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(+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 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n) (/ (/ (- 1.0 k) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (/ (- 1.0 k) 2.0) 2) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (/ (- 1.0 k) 2.0) 2) 2) 2)) (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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0078125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.0078125 (* (pow k 2) (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (* 0.015625 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0078125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.0078125 (* (pow k 2) (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (* 0.015625 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.408 * * [simplify]: iteration 0 : 1865 enodes (cost 5377 ) 3.430 * * [simplify]: iteration 1 : 5002 enodes (cost 5187 ) 3.460 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 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n) 1/2) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (/ (/ (- 1.0 k) 2.0) 4) (log (* (* 2.0 PI) n))) (exp (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 4) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 4) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (fma (* 0.03125 (pow k 2)) (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (- (fma (* 0.0625 (pow k 2)) (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.465 * * * [progress]: adding candidates to table 5.784 * * [progress]: iteration 4 / 4 5.784 * * * [progress]: picking best candidate 5.805 * * * * [pick]: Picked # 5.805 * * * [progress]: localizing error 5.821 * * * [progress]: generating rewritten candidates 5.821 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.834 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.843 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.851 * * * [progress]: generating series expansions 5.851 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.852 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.852 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.852 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.852 * [taylor]: Taking taylor expansion of 0.5 in k 5.852 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.852 * [taylor]: Taking taylor expansion of 1.0 in k 5.852 * [taylor]: Taking taylor expansion of k in k 5.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.852 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.852 * [taylor]: Taking taylor expansion of 2.0 in k 5.852 * [taylor]: Taking taylor expansion of (* n PI) in k 5.852 * [taylor]: Taking taylor expansion of n in k 5.852 * [taylor]: Taking taylor expansion of PI in k 5.853 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.853 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.853 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.853 * [taylor]: Taking taylor expansion of 0.5 in n 5.853 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.853 * [taylor]: Taking taylor expansion of 1.0 in n 5.853 * [taylor]: Taking taylor expansion of k in n 5.853 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.853 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.853 * [taylor]: Taking taylor expansion of 2.0 in n 5.853 * [taylor]: Taking taylor expansion of (* n PI) in n 5.853 * [taylor]: Taking taylor expansion of n in n 5.853 * [taylor]: Taking taylor expansion of PI in n 5.859 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.859 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.859 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.859 * [taylor]: Taking taylor expansion of 0.5 in n 5.859 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.859 * [taylor]: Taking taylor expansion of 1.0 in n 5.859 * [taylor]: Taking taylor expansion of k in n 5.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.859 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.859 * [taylor]: Taking taylor expansion of 2.0 in n 5.859 * [taylor]: Taking taylor expansion of (* n PI) in n 5.859 * [taylor]: Taking taylor expansion of n in n 5.859 * [taylor]: Taking taylor expansion of PI in n 5.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.865 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.865 * [taylor]: Taking taylor expansion of 0.5 in k 5.865 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.865 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.865 * [taylor]: Taking taylor expansion of 1.0 in k 5.865 * [taylor]: Taking taylor expansion of k in k 5.865 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.865 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.865 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.865 * [taylor]: Taking taylor expansion of 2.0 in k 5.865 * [taylor]: Taking taylor expansion of PI in k 5.866 * [taylor]: Taking taylor expansion of (log n) in k 5.866 * [taylor]: Taking taylor expansion of n in k 5.876 * [taylor]: Taking taylor expansion of 0 in k 5.891 * [taylor]: Taking taylor expansion of 0 in k 5.916 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.916 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.916 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.916 * [taylor]: Taking taylor expansion of 0.5 in k 5.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.916 * [taylor]: Taking taylor expansion of 1.0 in k 5.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.916 * [taylor]: Taking taylor expansion of k in k 5.917 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.917 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.917 * [taylor]: Taking taylor expansion of 2.0 in k 5.917 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.917 * [taylor]: Taking taylor expansion of PI in k 5.917 * [taylor]: Taking taylor expansion of n in k 5.918 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.918 * [taylor]: Taking taylor expansion of 0.5 in n 5.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.918 * [taylor]: Taking taylor expansion of 1.0 in n 5.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.918 * [taylor]: Taking taylor expansion of k in n 5.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.918 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.918 * [taylor]: Taking taylor expansion of 2.0 in n 5.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.918 * [taylor]: Taking taylor expansion of PI in n 5.918 * [taylor]: Taking taylor expansion of n in n 5.922 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.922 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.922 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.922 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.922 * [taylor]: Taking taylor expansion of 0.5 in n 5.922 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.922 * [taylor]: Taking taylor expansion of 1.0 in n 5.922 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.922 * [taylor]: Taking taylor expansion of k in n 5.922 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.922 * [taylor]: Taking taylor expansion of 2.0 in n 5.922 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.922 * [taylor]: Taking taylor expansion of PI in n 5.922 * [taylor]: Taking taylor expansion of n in n 5.926 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.926 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.927 * [taylor]: Taking taylor expansion of 0.5 in k 5.927 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.927 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.927 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.927 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.927 * [taylor]: Taking taylor expansion of 2.0 in k 5.927 * [taylor]: Taking taylor expansion of PI in k 5.928 * [taylor]: Taking taylor expansion of (log n) in k 5.928 * [taylor]: Taking taylor expansion of n in k 5.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.928 * [taylor]: Taking taylor expansion of 1.0 in k 5.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.928 * [taylor]: Taking taylor expansion of k in k 5.938 * [taylor]: Taking taylor expansion of 0 in k 5.946 * [taylor]: Taking taylor expansion of 0 in k 5.956 * [taylor]: Taking taylor expansion of 0 in k 5.957 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.957 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.957 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.957 * [taylor]: Taking taylor expansion of 0.5 in k 5.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.957 * [taylor]: Taking taylor expansion of k in k 5.957 * [taylor]: Taking taylor expansion of 1.0 in k 5.957 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.957 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.957 * [taylor]: Taking taylor expansion of -2.0 in k 5.957 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.957 * [taylor]: Taking taylor expansion of PI in k 5.957 * [taylor]: Taking taylor expansion of n in k 5.958 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.958 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.958 * [taylor]: Taking taylor expansion of 0.5 in n 5.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.958 * [taylor]: Taking taylor expansion of k in n 5.958 * [taylor]: Taking taylor expansion of 1.0 in n 5.958 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.959 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.959 * [taylor]: Taking taylor expansion of -2.0 in n 5.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.959 * [taylor]: Taking taylor expansion of PI in n 5.959 * [taylor]: Taking taylor expansion of n in n 5.962 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.962 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.962 * [taylor]: Taking taylor expansion of 0.5 in n 5.962 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.962 * [taylor]: Taking taylor expansion of k in n 5.962 * [taylor]: Taking taylor expansion of 1.0 in n 5.962 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.963 * [taylor]: Taking taylor expansion of -2.0 in n 5.963 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.963 * [taylor]: Taking taylor expansion of PI in n 5.963 * [taylor]: Taking taylor expansion of n in n 5.966 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.966 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.966 * [taylor]: Taking taylor expansion of 0.5 in k 5.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.966 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.966 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.966 * [taylor]: Taking taylor expansion of k in k 5.967 * [taylor]: Taking taylor expansion of 1.0 in k 5.967 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.967 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.967 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.967 * [taylor]: Taking taylor expansion of -2.0 in k 5.967 * [taylor]: Taking taylor expansion of PI in k 5.968 * [taylor]: Taking taylor expansion of (log n) in k 5.968 * [taylor]: Taking taylor expansion of n in k 5.977 * [taylor]: Taking taylor expansion of 0 in k 5.985 * [taylor]: Taking taylor expansion of 0 in k 5.994 * [taylor]: Taking taylor expansion of 0 in k 5.995 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.995 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.995 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.995 * [taylor]: Taking taylor expansion of 2.0 in n 5.995 * [taylor]: Taking taylor expansion of (* n PI) in n 5.995 * [taylor]: Taking taylor expansion of n in n 5.995 * [taylor]: Taking taylor expansion of PI in n 5.995 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.995 * [taylor]: Taking taylor expansion of 2.0 in n 5.996 * [taylor]: Taking taylor expansion of (* n PI) in n 5.996 * [taylor]: Taking taylor expansion of n in n 5.996 * [taylor]: Taking taylor expansion of PI in n 6.015 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.015 * [taylor]: Taking taylor expansion of 2.0 in n 6.015 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.015 * [taylor]: Taking taylor expansion of PI in n 6.015 * [taylor]: Taking taylor expansion of n in n 6.016 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.016 * [taylor]: Taking taylor expansion of 2.0 in n 6.016 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.016 * [taylor]: Taking taylor expansion of PI in n 6.016 * [taylor]: Taking taylor expansion of n in n 6.025 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.025 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.025 * [taylor]: Taking taylor expansion of -2.0 in n 6.025 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.025 * [taylor]: Taking taylor expansion of PI in n 6.025 * [taylor]: Taking taylor expansion of n in n 6.026 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.026 * [taylor]: Taking taylor expansion of -2.0 in n 6.026 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.026 * [taylor]: Taking taylor expansion of PI in n 6.026 * [taylor]: Taking taylor expansion of n in n 6.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.034 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.034 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.034 * [taylor]: Taking taylor expansion of 1.0 in k 6.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.034 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.034 * [taylor]: Taking taylor expansion of k in k 6.036 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.036 * [taylor]: Taking taylor expansion of 1.0 in k 6.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.036 * [taylor]: Taking taylor expansion of k in k 6.047 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.047 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.047 * [taylor]: Taking taylor expansion of 1.0 in k 6.047 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.047 * [taylor]: Taking taylor expansion of k in k 6.048 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.048 * [taylor]: Taking taylor expansion of 1.0 in k 6.048 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.048 * [taylor]: Taking taylor expansion of k in k 6.058 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.058 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.058 * [taylor]: Taking taylor expansion of 1.0 in k 6.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.058 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.058 * [taylor]: Taking taylor expansion of -1 in k 6.058 * [taylor]: Taking taylor expansion of k in k 6.060 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.060 * [taylor]: Taking taylor expansion of 1.0 in k 6.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.060 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.060 * [taylor]: Taking taylor expansion of -1 in k 6.060 * [taylor]: Taking taylor expansion of k in k 6.071 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.072 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.072 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.072 * [taylor]: Taking taylor expansion of 1.0 in k 6.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.072 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.072 * [taylor]: Taking taylor expansion of k in k 6.073 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.073 * [taylor]: Taking taylor expansion of 1.0 in k 6.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.073 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.073 * [taylor]: Taking taylor expansion of k in k 6.084 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.084 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.084 * [taylor]: Taking taylor expansion of 1.0 in k 6.084 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.084 * [taylor]: Taking taylor expansion of k in k 6.085 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.085 * [taylor]: Taking taylor expansion of 1.0 in k 6.085 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.085 * [taylor]: Taking taylor expansion of k in k 6.103 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.103 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.103 * [taylor]: Taking taylor expansion of 1.0 in k 6.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.103 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.103 * [taylor]: Taking taylor expansion of -1 in k 6.103 * [taylor]: Taking taylor expansion of k in k 6.105 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.105 * [taylor]: Taking taylor expansion of 1.0 in k 6.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.105 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.105 * [taylor]: Taking taylor expansion of -1 in k 6.105 * [taylor]: Taking taylor expansion of k in k 6.117 * * * [progress]: simplifying candidates 6.119 * [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 (* (* 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))) (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 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n 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))))) (- (+ (* +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))))) 6.126 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 6.136 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 6.177 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 6.181 * [simplify]: Simplified to: (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 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 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))) (* (* 2.0 PI) n) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (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))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (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))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 6.182 * * * [progress]: adding candidates to table 6.651 * [progress]: [Phase 3 of 3] Extracting. 6.651 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.654 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.654 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.695 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 6.741 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.777 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.818 * * * [regime]: Found split indices: #