11.570 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.173 * [progress]: [Phase 2 of 3] Improving. 0.173 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.176 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.177 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.179 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.181 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.187 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.210 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.210 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.210 * * [progress]: iteration 1 / 4 0.210 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.231 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.235 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.267 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.267 * [taylor]: Taking taylor expansion of 2.0 in n 0.267 * [taylor]: Taking taylor expansion of (* n PI) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of PI in n 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.267 * [taylor]: Taking taylor expansion of 2.0 in n 0.267 * [taylor]: Taking taylor expansion of (* n PI) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of PI in n 0.280 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.280 * [taylor]: Taking taylor expansion of 2.0 in n 0.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.280 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.290 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.299 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.299 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.299 * [taylor]: Taking taylor expansion of 1.0 in k 0.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.299 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.312 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.312 * [taylor]: Taking taylor expansion of 1.0 in k 0.312 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.312 * [taylor]: Taking taylor expansion of k in k 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.313 * [taylor]: Taking taylor expansion of k in k 0.323 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.323 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.323 * [taylor]: Taking taylor expansion of 1.0 in k 0.323 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.323 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.323 * [taylor]: Taking taylor expansion of -1 in k 0.323 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.331 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.331 * [taylor]: Taking taylor expansion of -1 in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.344 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.344 * [taylor]: Taking taylor expansion of 2.0 in k 0.344 * [taylor]: Taking taylor expansion of (* n PI) in k 0.344 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.345 * [taylor]: Taking taylor expansion of (* n PI) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.351 * [taylor]: Taking taylor expansion of 0.5 in n 0.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.351 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [taylor]: Taking taylor expansion of (* n PI) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.357 * [taylor]: Taking taylor expansion of 0.5 in k 0.357 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.357 * [taylor]: Taking taylor expansion of 1.0 in k 0.357 * [taylor]: Taking taylor expansion of k in k 0.357 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.357 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.357 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.357 * [taylor]: Taking taylor expansion of 2.0 in k 0.357 * [taylor]: Taking taylor expansion of PI in k 0.358 * [taylor]: Taking taylor expansion of (log n) in k 0.358 * [taylor]: Taking taylor expansion of n in k 0.367 * [taylor]: Taking taylor expansion of 0 in k 0.383 * [taylor]: Taking taylor expansion of 0 in k 0.402 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.402 * [taylor]: Taking taylor expansion of 0.5 in k 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.402 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.403 * [taylor]: Taking taylor expansion of 2.0 in k 0.403 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.403 * [taylor]: Taking taylor expansion of PI in k 0.403 * [taylor]: Taking taylor expansion of n in k 0.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.404 * [taylor]: Taking taylor expansion of 0.5 in n 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.404 * [taylor]: Taking taylor expansion of 1.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.404 * [taylor]: Taking taylor expansion of k in n 0.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.404 * [taylor]: Taking taylor expansion of 2.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.404 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.408 * [taylor]: Taking taylor expansion of 2.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.412 * [taylor]: Taking taylor expansion of 0.5 in k 0.412 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.412 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.412 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.412 * [taylor]: Taking taylor expansion of 2.0 in k 0.412 * [taylor]: Taking taylor expansion of PI in k 0.413 * [taylor]: Taking taylor expansion of (log n) in k 0.413 * [taylor]: Taking taylor expansion of n in k 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.428 * [taylor]: Taking taylor expansion of 0 in k 0.437 * [taylor]: Taking taylor expansion of 0 in k 0.446 * [taylor]: Taking taylor expansion of 0 in k 0.448 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.448 * [taylor]: Taking taylor expansion of 0.5 in k 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.448 * [taylor]: Taking taylor expansion of -2.0 in k 0.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.448 * [taylor]: Taking taylor expansion of PI in k 0.448 * [taylor]: Taking taylor expansion of n in k 0.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.449 * [taylor]: Taking taylor expansion of 0.5 in n 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.449 * [taylor]: Taking taylor expansion of k in n 0.449 * [taylor]: Taking taylor expansion of 1.0 in n 0.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.449 * [taylor]: Taking taylor expansion of -2.0 in n 0.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.454 * [taylor]: Taking taylor expansion of -2.0 in n 0.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.454 * [taylor]: Taking taylor expansion of PI in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.458 * [taylor]: Taking taylor expansion of 0.5 in k 0.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.458 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.458 * [taylor]: Taking taylor expansion of k in k 0.458 * [taylor]: Taking taylor expansion of 1.0 in k 0.458 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.458 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.458 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.458 * [taylor]: Taking taylor expansion of -2.0 in k 0.458 * [taylor]: Taking taylor expansion of PI in k 0.459 * [taylor]: Taking taylor expansion of (log n) in k 0.459 * [taylor]: Taking taylor expansion of n in k 0.468 * [taylor]: Taking taylor expansion of 0 in k 0.475 * [taylor]: Taking taylor expansion of 0 in k 0.484 * [taylor]: Taking taylor expansion of 0 in k 0.485 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.486 * [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 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.486 * [taylor]: Taking taylor expansion of k in n 0.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.486 * [taylor]: Taking taylor expansion of 0.5 in n 0.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of k in n 0.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.486 * [taylor]: Taking taylor expansion of 2.0 in n 0.486 * [taylor]: Taking taylor expansion of (* n PI) in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.486 * [taylor]: Taking taylor expansion of PI in n 0.492 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.493 * [taylor]: Taking taylor expansion of 0.5 in k 0.493 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.493 * [taylor]: Taking taylor expansion of 1.0 in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.493 * [taylor]: Taking taylor expansion of 2.0 in k 0.493 * [taylor]: Taking taylor expansion of (* n PI) in k 0.493 * [taylor]: Taking taylor expansion of n in k 0.493 * [taylor]: Taking taylor expansion of PI in k 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.496 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.496 * [taylor]: Taking taylor expansion of 0.5 in k 0.496 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.496 * [taylor]: Taking taylor expansion of 1.0 in k 0.496 * [taylor]: Taking taylor expansion of k in k 0.496 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.496 * [taylor]: Taking taylor expansion of 2.0 in k 0.496 * [taylor]: Taking taylor expansion of (* n PI) in k 0.496 * [taylor]: Taking taylor expansion of n in k 0.496 * [taylor]: Taking taylor expansion of PI in k 0.497 * [taylor]: Taking taylor expansion of 0 in n 0.503 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of +nan.0 in n 0.503 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.503 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log PI) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.511 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.511 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log n) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +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 0.531 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +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 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of +nan.0 in n 0.531 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.531 * [taylor]: Taking taylor expansion of 0.5 in n 0.531 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log PI) in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.534 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [taylor]: Taking taylor expansion of (neg (* +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 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of +nan.0 in n 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.540 * [taylor]: Taking taylor expansion of 0.5 in n 0.540 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.540 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.540 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log PI) in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log n) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.548 * [taylor]: Taking taylor expansion of 2.0 in n 0.548 * [taylor]: Taking taylor expansion of (* n PI) in n 0.548 * [taylor]: Taking taylor expansion of n in n 0.548 * [taylor]: Taking taylor expansion of PI in n 0.604 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of +nan.0 in n 0.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.604 * [taylor]: Taking taylor expansion of 0.5 in n 0.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.606 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (log n) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.607 * [taylor]: Taking taylor expansion of 1.0 in n 0.607 * [taylor]: Taking taylor expansion of (log PI) in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.612 * [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))))) (neg (* +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 0.612 * [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 0.612 * [taylor]: Taking taylor expansion of +nan.0 in n 0.612 * [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 0.612 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.613 * [taylor]: Taking taylor expansion of 1.0 in n 0.613 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.613 * [taylor]: Taking taylor expansion of 2.0 in n 0.614 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (log PI) in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of (log n) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* n PI) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.624 * [taylor]: Taking taylor expansion of (neg (* +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 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of +nan.0 in n 0.624 * [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 0.624 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.624 * [taylor]: Taking taylor expansion of 0.5 in n 0.624 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.624 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.624 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.624 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.624 * [taylor]: Taking taylor expansion of 1.0 in n 0.624 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.624 * [taylor]: Taking taylor expansion of 2.0 in n 0.626 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (log PI) in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (log n) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.632 * [taylor]: Taking taylor expansion of 2.0 in n 0.632 * [taylor]: Taking taylor expansion of (* n PI) in n 0.632 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of PI in n 0.711 * [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 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.711 * [taylor]: Taking taylor expansion of 1.0 in n 0.711 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.711 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.711 * [taylor]: Taking taylor expansion of k in n 0.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.711 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.711 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.711 * [taylor]: Taking taylor expansion of 0.5 in n 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.711 * [taylor]: Taking taylor expansion of 1.0 in n 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.711 * [taylor]: Taking taylor expansion of k in n 0.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.711 * [taylor]: Taking taylor expansion of 2.0 in n 0.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.711 * [taylor]: Taking taylor expansion of PI in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.715 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.716 * [taylor]: Taking taylor expansion of 0.5 in k 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.716 * [taylor]: Taking taylor expansion of 1.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.717 * [taylor]: Taking taylor expansion of 2.0 in k 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.717 * [taylor]: Taking taylor expansion of PI in k 0.717 * [taylor]: Taking taylor expansion of n in k 0.718 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.718 * [taylor]: Taking taylor expansion of 1.0 in k 0.718 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.718 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.719 * [taylor]: Taking taylor expansion of 0.5 in k 0.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.719 * [taylor]: Taking taylor expansion of 2.0 in k 0.719 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.719 * [taylor]: Taking taylor expansion of PI in k 0.719 * [taylor]: Taking taylor expansion of n in k 0.721 * [taylor]: Taking taylor expansion of 0 in n 0.722 * [taylor]: Taking taylor expansion of (neg (* +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 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.732 * [taylor]: Taking taylor expansion of +nan.0 in n 0.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) 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 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.750 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.750 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.750 * [taylor]: Taking taylor expansion of +nan.0 in n 0.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.750 * [taylor]: Taking taylor expansion of 0.5 in n 0.750 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.750 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.750 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.750 * [taylor]: Taking taylor expansion of 2.0 in n 0.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.750 * [taylor]: Taking taylor expansion of PI in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.752 * [taylor]: Taking taylor expansion of 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 0.760 * [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 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.760 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.760 * [taylor]: Taking taylor expansion of 0.5 in n 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.760 * [taylor]: Taking taylor expansion of k in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.760 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2.0 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.764 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.764 * [taylor]: Taking taylor expansion of -1 in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.765 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.765 * [taylor]: Taking taylor expansion of 0.5 in k 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.765 * [taylor]: Taking taylor expansion of k in k 0.766 * [taylor]: Taking taylor expansion of 1.0 in k 0.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.766 * [taylor]: Taking taylor expansion of -2.0 in k 0.766 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.766 * [taylor]: Taking taylor expansion of PI in k 0.766 * [taylor]: Taking taylor expansion of n in k 0.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.766 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.767 * [taylor]: Taking taylor expansion of -1 in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.768 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.768 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.768 * [taylor]: Taking taylor expansion of 0.5 in k 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.768 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.768 * [taylor]: Taking taylor expansion of -2.0 in k 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.768 * [taylor]: Taking taylor expansion of PI in k 0.768 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.769 * [taylor]: Taking taylor expansion of -1 in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.771 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.771 * [taylor]: Taking taylor expansion of +nan.0 in n 0.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of 0.5 in n 0.771 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [taylor]: Taking taylor expansion of 1.0 in n 0.771 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.771 * [taylor]: Taking taylor expansion of -2.0 in n 0.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.771 * [taylor]: Taking taylor expansion of PI in n 0.771 * [taylor]: Taking taylor expansion of n in n 0.786 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.786 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.786 * [taylor]: Taking taylor expansion of +nan.0 in n 0.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.786 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.786 * [taylor]: Taking taylor expansion of 0.5 in n 0.786 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.786 * [taylor]: Taking taylor expansion of k in n 0.786 * [taylor]: Taking taylor expansion of 1.0 in n 0.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.786 * [taylor]: Taking taylor expansion of -2.0 in n 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.786 * [taylor]: Taking taylor expansion of PI in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.804 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.804 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.804 * [taylor]: Taking taylor expansion of +nan.0 in n 0.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.804 * [taylor]: Taking taylor expansion of 0.5 in n 0.804 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.804 * [taylor]: Taking taylor expansion of k in n 0.804 * [taylor]: Taking taylor expansion of 1.0 in n 0.804 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.804 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.804 * [taylor]: Taking taylor expansion of -2.0 in n 0.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.804 * [taylor]: Taking taylor expansion of PI in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.813 * * * [progress]: simplifying candidates 0.816 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 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)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 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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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (+ (/ 1 k) (/ -1 (pow k 3)))) (/ (neg +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (neg +nan.0) (pow k 2))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (neg (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.913 * * * [progress]: adding candidates to table 1.309 * * [progress]: iteration 2 / 4 1.309 * * * [progress]: picking best candidate 1.342 * * * * [pick]: Picked # 1.342 * * * [progress]: localizing error 1.360 * * * [progress]: generating rewritten candidates 1.360 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.377 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.393 * * * [progress]: generating series expansions 1.393 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.394 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.394 * [taylor]: Taking taylor expansion of 0.5 in n 1.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.394 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.394 * [taylor]: Taking taylor expansion of 2.0 in n 1.394 * [taylor]: Taking taylor expansion of (* n PI) in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.394 * [taylor]: Taking taylor expansion of PI in n 1.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.400 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.400 * [taylor]: Taking taylor expansion of 0.5 in n 1.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.400 * [taylor]: Taking taylor expansion of 2.0 in n 1.400 * [taylor]: Taking taylor expansion of (* n PI) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.486 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.486 * [taylor]: Taking taylor expansion of 0.5 in n 1.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.486 * [taylor]: Taking taylor expansion of 2.0 in n 1.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.486 * [taylor]: Taking taylor expansion of PI in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.490 * [taylor]: Taking taylor expansion of 0.5 in n 1.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.490 * [taylor]: Taking taylor expansion of 2.0 in n 1.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.490 * [taylor]: Taking taylor expansion of PI in n 1.490 * [taylor]: Taking taylor expansion of n in n 1.572 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.572 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.572 * [taylor]: Taking taylor expansion of 0.5 in n 1.572 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.572 * [taylor]: Taking taylor expansion of -2.0 in n 1.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.572 * [taylor]: Taking taylor expansion of PI in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.576 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.576 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.576 * [taylor]: Taking taylor expansion of 0.5 in n 1.576 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.576 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.576 * [taylor]: Taking taylor expansion of -2.0 in n 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.657 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.658 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.658 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.658 * [taylor]: Taking taylor expansion of 2.0 in n 1.658 * [taylor]: Taking taylor expansion of (* n PI) in n 1.658 * [taylor]: Taking taylor expansion of n in n 1.658 * [taylor]: Taking taylor expansion of PI in n 1.658 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.658 * [taylor]: Taking taylor expansion of 2.0 in n 1.658 * [taylor]: Taking taylor expansion of (* n PI) in n 1.658 * [taylor]: Taking taylor expansion of n in n 1.658 * [taylor]: Taking taylor expansion of PI in n 1.676 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.686 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.686 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.686 * [taylor]: Taking taylor expansion of -2.0 in n 1.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.686 * [taylor]: Taking taylor expansion of PI in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.686 * [taylor]: Taking taylor expansion of -2.0 in n 1.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.686 * [taylor]: Taking taylor expansion of PI in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.695 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.695 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.695 * [taylor]: Taking taylor expansion of 2.0 in n 1.695 * [taylor]: Taking taylor expansion of (* n PI) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.695 * [taylor]: Taking taylor expansion of PI in n 1.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.695 * [taylor]: Taking taylor expansion of 2.0 in n 1.695 * [taylor]: Taking taylor expansion of (* n PI) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.695 * [taylor]: Taking taylor expansion of PI in n 1.710 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.719 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.719 * [taylor]: Taking taylor expansion of -2.0 in n 1.719 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.719 * [taylor]: Taking taylor expansion of PI in n 1.719 * [taylor]: Taking taylor expansion of n in n 1.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.720 * [taylor]: Taking taylor expansion of -2.0 in n 1.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.720 * [taylor]: Taking taylor expansion of PI in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.728 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.730 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.731 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.731 * [taylor]: Taking taylor expansion of 0.5 in k 1.731 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.731 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.731 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.731 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.731 * [taylor]: Taking taylor expansion of 1.0 in k 1.731 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.731 * [taylor]: Taking taylor expansion of 2.0 in k 1.733 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.733 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.733 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (log n) in k 1.733 * [taylor]: Taking taylor expansion of n in k 1.733 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.733 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (log PI) in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.739 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.739 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.739 * [taylor]: Taking taylor expansion of 0.5 in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.739 * [taylor]: Taking taylor expansion of 2.0 in k 1.739 * [taylor]: Taking taylor expansion of (* n PI) in k 1.739 * [taylor]: Taking taylor expansion of n in k 1.739 * [taylor]: Taking taylor expansion of PI in k 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.743 * [taylor]: Taking taylor expansion of 1.0 in n 1.743 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.743 * [taylor]: Taking taylor expansion of k in n 1.743 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.743 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.743 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.743 * [taylor]: Taking taylor expansion of 0.5 in n 1.743 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.743 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.743 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.743 * [taylor]: Taking taylor expansion of 1.0 in n 1.743 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.743 * [taylor]: Taking taylor expansion of 2.0 in n 1.745 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.745 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.745 * [taylor]: Taking taylor expansion of 1.0 in n 1.745 * [taylor]: Taking taylor expansion of (log n) in n 1.745 * [taylor]: Taking taylor expansion of n in n 1.746 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.746 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.746 * [taylor]: Taking taylor expansion of 1.0 in n 1.746 * [taylor]: Taking taylor expansion of (log PI) in n 1.746 * [taylor]: Taking taylor expansion of PI in n 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.751 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.751 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.751 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.751 * [taylor]: Taking taylor expansion of 0.5 in n 1.751 * [taylor]: Taking taylor expansion of k in n 1.751 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* n PI) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.765 * [taylor]: Taking taylor expansion of k in n 1.765 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.765 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.767 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.767 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.767 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.767 * [taylor]: Taking taylor expansion of 1.0 in n 1.767 * [taylor]: Taking taylor expansion of (log n) in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.768 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.768 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.768 * [taylor]: Taking taylor expansion of 1.0 in n 1.768 * [taylor]: Taking taylor expansion of (log PI) in n 1.768 * [taylor]: Taking taylor expansion of PI in n 1.774 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.774 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.774 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.774 * [taylor]: Taking taylor expansion of 0.5 in n 1.774 * [taylor]: Taking taylor expansion of k in n 1.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.774 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.774 * [taylor]: Taking taylor expansion of 2.0 in n 1.774 * [taylor]: Taking taylor expansion of (* n PI) in n 1.774 * [taylor]: Taking taylor expansion of n in n 1.774 * [taylor]: Taking taylor expansion of PI in n 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.786 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.786 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.786 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.787 * [taylor]: Taking taylor expansion of 0.5 in k 1.787 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.787 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.787 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log PI) in k 1.787 * [taylor]: Taking taylor expansion of PI in k 1.789 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (log n) in k 1.789 * [taylor]: Taking taylor expansion of n in k 1.789 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.789 * [taylor]: Taking taylor expansion of 2.0 in k 1.794 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.794 * [taylor]: Taking taylor expansion of 0.5 in k 1.794 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.794 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.794 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.794 * [taylor]: Taking taylor expansion of 2.0 in k 1.794 * [taylor]: Taking taylor expansion of PI in k 1.795 * [taylor]: Taking taylor expansion of (log n) in k 1.795 * [taylor]: Taking taylor expansion of n in k 1.826 * [taylor]: Taking taylor expansion of 0 in k 1.885 * [taylor]: Taking taylor expansion of 0 in k 1.987 * [taylor]: Taking taylor expansion of 0 in k 2.104 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 2.104 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.104 * [taylor]: Taking taylor expansion of 1.0 in k 2.104 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.104 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.104 * [taylor]: Taking taylor expansion of k in k 2.105 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.105 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.105 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.105 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.105 * [taylor]: Taking taylor expansion of 0.5 in k 2.105 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.105 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.105 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.106 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.106 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.106 * [taylor]: Taking taylor expansion of 1.0 in k 2.106 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.106 * [taylor]: Taking taylor expansion of 2.0 in k 2.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.107 * [taylor]: Taking taylor expansion of 1.0 in k 2.107 * [taylor]: Taking taylor expansion of (log PI) in k 2.107 * [taylor]: Taking taylor expansion of PI in k 2.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.115 * [taylor]: Taking taylor expansion of 1.0 in k 2.115 * [taylor]: Taking taylor expansion of (log n) in k 2.115 * [taylor]: Taking taylor expansion of n in k 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.122 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.122 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.122 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.122 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.122 * [taylor]: Taking taylor expansion of 0.5 in k 2.122 * [taylor]: Taking taylor expansion of k in k 2.122 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.122 * [taylor]: Taking taylor expansion of 2.0 in k 2.122 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.122 * [taylor]: Taking taylor expansion of PI in k 2.122 * [taylor]: Taking taylor expansion of n in k 2.123 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.123 * [taylor]: Taking taylor expansion of 1.0 in n 2.123 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.123 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.123 * [taylor]: Taking taylor expansion of k in n 2.123 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.123 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.123 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.123 * [taylor]: Taking taylor expansion of 0.5 in n 2.123 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.123 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.123 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.123 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.123 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.123 * [taylor]: Taking taylor expansion of 1.0 in n 2.123 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.123 * [taylor]: Taking taylor expansion of 2.0 in n 2.125 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.125 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.125 * [taylor]: Taking taylor expansion of 1.0 in n 2.125 * [taylor]: Taking taylor expansion of (log PI) in n 2.125 * [taylor]: Taking taylor expansion of PI in n 2.127 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.127 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.127 * [taylor]: Taking taylor expansion of 1.0 in n 2.127 * [taylor]: Taking taylor expansion of (log n) in n 2.127 * [taylor]: Taking taylor expansion of n in n 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.134 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.134 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.134 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.134 * [taylor]: Taking taylor expansion of 0.5 in n 2.134 * [taylor]: Taking taylor expansion of k in n 2.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.134 * [taylor]: Taking taylor expansion of 2.0 in n 2.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.134 * [taylor]: Taking taylor expansion of PI in n 2.134 * [taylor]: Taking taylor expansion of n in n 2.138 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.138 * [taylor]: Taking taylor expansion of 1.0 in n 2.138 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.138 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.138 * [taylor]: Taking taylor expansion of k in n 2.139 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.139 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.139 * [taylor]: Taking taylor expansion of 0.5 in n 2.139 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.139 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.139 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.139 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.139 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.139 * [taylor]: Taking taylor expansion of 1.0 in n 2.139 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.139 * [taylor]: Taking taylor expansion of 2.0 in n 2.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.141 * [taylor]: Taking taylor expansion of 1.0 in n 2.141 * [taylor]: Taking taylor expansion of (log PI) in n 2.141 * [taylor]: Taking taylor expansion of PI in n 2.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.143 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.143 * [taylor]: Taking taylor expansion of 1.0 in n 2.143 * [taylor]: Taking taylor expansion of (log n) in n 2.143 * [taylor]: Taking taylor expansion of n in n 2.149 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.150 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.150 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.150 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.150 * [taylor]: Taking taylor expansion of 0.5 in n 2.150 * [taylor]: Taking taylor expansion of k in n 2.150 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.150 * [taylor]: Taking taylor expansion of 2.0 in n 2.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.150 * [taylor]: Taking taylor expansion of PI in n 2.150 * [taylor]: Taking taylor expansion of n in n 2.160 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 2.160 * [taylor]: Taking taylor expansion of 1.0 in k 2.160 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.160 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.160 * [taylor]: Taking taylor expansion of k in k 2.161 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.161 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.161 * [taylor]: Taking taylor expansion of 0.5 in k 2.161 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.161 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.161 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.162 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.162 * [taylor]: Taking taylor expansion of 1.0 in k 2.162 * [taylor]: Taking taylor expansion of (log PI) in k 2.162 * [taylor]: Taking taylor expansion of PI in k 2.163 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.163 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.163 * [taylor]: Taking taylor expansion of 1.0 in k 2.164 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.164 * [taylor]: Taking taylor expansion of 2.0 in k 2.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.165 * [taylor]: Taking taylor expansion of 1.0 in k 2.165 * [taylor]: Taking taylor expansion of (log n) in k 2.165 * [taylor]: Taking taylor expansion of n in k 2.172 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.172 * [taylor]: Taking taylor expansion of 0.5 in k 2.172 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.172 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.172 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.172 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.172 * [taylor]: Taking taylor expansion of 2.0 in k 2.172 * [taylor]: Taking taylor expansion of PI in k 2.173 * [taylor]: Taking taylor expansion of (log n) in k 2.173 * [taylor]: Taking taylor expansion of n in k 2.173 * [taylor]: Taking taylor expansion of k in k 2.214 * [taylor]: Taking taylor expansion of 0 in k 2.272 * [taylor]: Taking taylor expansion of 0 in k 2.360 * [taylor]: Taking taylor expansion of 0 in k 2.420 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.420 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.421 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.421 * [taylor]: Taking taylor expansion of -1 in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.422 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.422 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.422 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.422 * [taylor]: Taking taylor expansion of -0.5 in k 2.422 * [taylor]: Taking taylor expansion of k in k 2.422 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.422 * [taylor]: Taking taylor expansion of -2.0 in k 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.422 * [taylor]: Taking taylor expansion of PI in k 2.422 * [taylor]: Taking taylor expansion of n in k 2.423 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.423 * [taylor]: Taking taylor expansion of 0.5 in k 2.423 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.423 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.423 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.423 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.423 * [taylor]: Taking taylor expansion of -2.0 in k 2.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.425 * [taylor]: Taking taylor expansion of 1.0 in k 2.425 * [taylor]: Taking taylor expansion of (log PI) in k 2.425 * [taylor]: Taking taylor expansion of PI in k 2.427 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.427 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.427 * [taylor]: Taking taylor expansion of 1.0 in k 2.427 * [taylor]: Taking taylor expansion of (log n) in k 2.427 * [taylor]: Taking taylor expansion of n in k 2.434 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.434 * [taylor]: Taking taylor expansion of 1.0 in n 2.434 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.434 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.434 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.434 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.434 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.434 * [taylor]: Taking taylor expansion of -1 in n 2.434 * [taylor]: Taking taylor expansion of k in n 2.434 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.434 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.434 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.434 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.434 * [taylor]: Taking taylor expansion of -0.5 in n 2.434 * [taylor]: Taking taylor expansion of k in n 2.434 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.434 * [taylor]: Taking taylor expansion of -2.0 in n 2.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.434 * [taylor]: Taking taylor expansion of PI in n 2.434 * [taylor]: Taking taylor expansion of n in n 2.440 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.440 * [taylor]: Taking taylor expansion of 0.5 in n 2.440 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.440 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.440 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.440 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.440 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.440 * [taylor]: Taking taylor expansion of 1.0 in n 2.440 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.440 * [taylor]: Taking taylor expansion of -2.0 in n 2.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [taylor]: Taking taylor expansion of (log PI) in n 2.442 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.444 * [taylor]: Taking taylor expansion of 1.0 in n 2.444 * [taylor]: Taking taylor expansion of (log n) in n 2.444 * [taylor]: Taking taylor expansion of n in n 2.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.451 * [taylor]: Taking taylor expansion of 1.0 in n 2.451 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.451 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.451 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.451 * [taylor]: Taking taylor expansion of -1 in n 2.451 * [taylor]: Taking taylor expansion of k in n 2.451 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.451 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.451 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.451 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.451 * [taylor]: Taking taylor expansion of -0.5 in n 2.451 * [taylor]: Taking taylor expansion of k in n 2.451 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.451 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.451 * [taylor]: Taking taylor expansion of -2.0 in n 2.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.457 * [taylor]: Taking taylor expansion of 0.5 in n 2.457 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.457 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.457 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.457 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.457 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.457 * [taylor]: Taking taylor expansion of 1.0 in n 2.457 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.457 * [taylor]: Taking taylor expansion of -2.0 in n 2.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.459 * [taylor]: Taking taylor expansion of 1.0 in n 2.459 * [taylor]: Taking taylor expansion of (log PI) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.461 * [taylor]: Taking taylor expansion of 1.0 in n 2.461 * [taylor]: Taking taylor expansion of (log n) in n 2.461 * [taylor]: Taking taylor expansion of n in n 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.473 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.473 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.473 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.473 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.473 * [taylor]: Taking taylor expansion of -0.5 in k 2.473 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.473 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.473 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.473 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.473 * [taylor]: Taking taylor expansion of -2.0 in k 2.473 * [taylor]: Taking taylor expansion of PI in k 2.480 * [taylor]: Taking taylor expansion of (log n) in k 2.480 * [taylor]: Taking taylor expansion of n in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.483 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.483 * [taylor]: Taking taylor expansion of -1 in k 2.483 * [taylor]: Taking taylor expansion of k in k 2.487 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.487 * [taylor]: Taking taylor expansion of 0.5 in k 2.487 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.487 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.487 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.487 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.487 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.487 * [taylor]: Taking taylor expansion of 1.0 in k 2.487 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.487 * [taylor]: Taking taylor expansion of -2.0 in k 2.489 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.489 * [taylor]: Taking taylor expansion of 1.0 in k 2.489 * [taylor]: Taking taylor expansion of (log PI) in k 2.489 * [taylor]: Taking taylor expansion of PI in k 2.491 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.491 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.491 * [taylor]: Taking taylor expansion of 1.0 in k 2.491 * [taylor]: Taking taylor expansion of (log n) in k 2.491 * [taylor]: Taking taylor expansion of n in k 2.528 * [taylor]: Taking taylor expansion of 0 in k 2.596 * [taylor]: Taking taylor expansion of 0 in k 2.642 * * * [progress]: simplifying candidates 2.644 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) 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PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (neg (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (neg (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (neg (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 2.750 * * * [progress]: adding candidates to table 2.987 * * [progress]: iteration 3 / 4 2.987 * * * [progress]: picking best candidate 3.014 * * * * [pick]: Picked # 3.014 * * * [progress]: localizing error 3.040 * * * [progress]: generating rewritten candidates 3.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.052 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.061 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 3.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.075 * * * [progress]: generating series expansions 3.076 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.077 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.077 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.077 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.077 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.077 * [taylor]: Taking taylor expansion of 0.5 in n 3.077 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.077 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.077 * [taylor]: Taking taylor expansion of 2.0 in n 3.077 * [taylor]: Taking taylor expansion of (* n PI) in n 3.077 * [taylor]: Taking taylor expansion of n in n 3.077 * [taylor]: Taking taylor expansion of PI in n 3.083 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.083 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.083 * [taylor]: Taking taylor expansion of 0.5 in n 3.083 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.083 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.083 * [taylor]: Taking taylor expansion of 2.0 in n 3.083 * [taylor]: Taking taylor expansion of (* n PI) in n 3.083 * [taylor]: Taking taylor expansion of n in n 3.083 * [taylor]: Taking taylor expansion of PI in n 3.170 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.170 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.170 * [taylor]: Taking taylor expansion of 0.5 in n 3.170 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.170 * [taylor]: Taking taylor expansion of 2.0 in n 3.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.170 * [taylor]: Taking taylor expansion of PI in n 3.170 * [taylor]: Taking taylor expansion of n in n 3.174 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.174 * [taylor]: Taking taylor expansion of 0.5 in n 3.174 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.174 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.174 * [taylor]: Taking taylor expansion of 2.0 in n 3.174 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.174 * [taylor]: Taking taylor expansion of PI in n 3.174 * [taylor]: Taking taylor expansion of n in n 3.258 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in (n) around 0 3.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 3.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.258 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.258 * [taylor]: Taking taylor expansion of 0.5 in n 3.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.258 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.258 * [taylor]: Taking taylor expansion of 2.0 in n 3.258 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.258 * [taylor]: Taking taylor expansion of PI in n 3.258 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.258 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.258 * [taylor]: Taking taylor expansion of -1 in n 3.258 * [taylor]: Taking taylor expansion of n in n 3.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 3.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.264 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.264 * [taylor]: Taking taylor expansion of 0.5 in n 3.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.264 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.264 * [taylor]: Taking taylor expansion of 2.0 in n 3.265 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.265 * [taylor]: Taking taylor expansion of PI in n 3.265 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.265 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.265 * [taylor]: Taking taylor expansion of -1 in n 3.265 * [taylor]: Taking taylor expansion of n in n 3.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.336 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.336 * [taylor]: Taking taylor expansion of 2.0 in n 3.336 * [taylor]: Taking taylor expansion of (* n PI) in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [taylor]: Taking taylor expansion of PI in n 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.336 * [taylor]: Taking taylor expansion of 2.0 in n 3.336 * [taylor]: Taking taylor expansion of (* n PI) in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.336 * [taylor]: Taking taylor expansion of PI in n 3.349 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.349 * [taylor]: Taking taylor expansion of 2.0 in n 3.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.349 * [taylor]: Taking taylor expansion of PI in n 3.349 * [taylor]: Taking taylor expansion of n in n 3.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.349 * [taylor]: Taking taylor expansion of 2.0 in n 3.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.349 * [taylor]: Taking taylor expansion of PI in n 3.349 * [taylor]: Taking taylor expansion of n in n 3.358 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.358 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.358 * [taylor]: Taking taylor expansion of 2.0 in n 3.358 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.359 * [taylor]: Taking taylor expansion of PI in n 3.359 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.359 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.359 * [taylor]: Taking taylor expansion of -1 in n 3.359 * [taylor]: Taking taylor expansion of n in n 3.360 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.360 * [taylor]: Taking taylor expansion of 2.0 in n 3.360 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.360 * [taylor]: Taking taylor expansion of PI in n 3.360 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.360 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.360 * [taylor]: Taking taylor expansion of -1 in n 3.360 * [taylor]: Taking taylor expansion of n in n 3.387 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 3.388 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 3.388 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.388 * [taylor]: Taking taylor expansion of 2.0 in n 3.388 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.388 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.388 * [taylor]: Taking taylor expansion of n in n 3.389 * [taylor]: Taking taylor expansion of PI in n 3.389 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.389 * [taylor]: Taking taylor expansion of 2.0 in n 3.389 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.389 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.389 * [taylor]: Taking taylor expansion of n in n 3.390 * [taylor]: Taking taylor expansion of PI in n 3.411 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 3.411 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.411 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.412 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.413 * [taylor]: Taking taylor expansion of PI in n 3.413 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.413 * [taylor]: Taking taylor expansion of 2.0 in n 3.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.413 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.413 * [taylor]: Taking taylor expansion of n in n 3.414 * [taylor]: Taking taylor expansion of PI in n 3.436 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 3.436 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.436 * [taylor]: Taking taylor expansion of 2.0 in n 3.436 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.436 * [taylor]: Taking taylor expansion of PI in n 3.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.436 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.436 * [taylor]: Taking taylor expansion of -1 in n 3.436 * [taylor]: Taking taylor expansion of n in n 3.438 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.438 * [taylor]: Taking taylor expansion of 2.0 in n 3.438 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.438 * [taylor]: Taking taylor expansion of PI in n 3.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.438 * [taylor]: Taking taylor expansion of -1 in n 3.438 * [taylor]: Taking taylor expansion of n in n 3.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.467 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.467 * [taylor]: Taking taylor expansion of 2.0 in n 3.467 * [taylor]: Taking taylor expansion of (* n PI) in n 3.467 * [taylor]: Taking taylor expansion of n in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.467 * [taylor]: Taking taylor expansion of 2.0 in n 3.467 * [taylor]: Taking taylor expansion of (* n PI) in n 3.467 * [taylor]: Taking taylor expansion of n in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.480 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.480 * [taylor]: Taking taylor expansion of 2.0 in n 3.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.480 * [taylor]: Taking taylor expansion of PI in n 3.480 * [taylor]: Taking taylor expansion of n in n 3.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.480 * [taylor]: Taking taylor expansion of 2.0 in n 3.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.480 * [taylor]: Taking taylor expansion of PI in n 3.480 * [taylor]: Taking taylor expansion of n in n 3.489 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.489 * [taylor]: Taking taylor expansion of -2.0 in n 3.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.489 * [taylor]: Taking taylor expansion of PI in n 3.489 * [taylor]: Taking taylor expansion of n in n 3.490 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.490 * [taylor]: Taking taylor expansion of -2.0 in n 3.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.490 * [taylor]: Taking taylor expansion of PI in n 3.490 * [taylor]: Taking taylor expansion of n in n 3.498 * * * [progress]: simplifying candidates 3.500 * [simplify]: Simplifying using # : (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1.0) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (- (pow (* +nan.0 PI) 0.5) (+ (* +nan.0 (* (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow n 2)))) (neg (* +nan.0 (* (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5) (/ 1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (neg (+ (* +nan.0 (* (pow n 2) PI)) (neg (+ (* +nan.0 (* n PI)) (neg (* +nan.0 (* (pow n 3) PI))))))) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.506 * * [simplify]: iteration 0 : 502 enodes (cost 607 ) 3.517 * * [simplify]: iteration 1 : 2341 enodes (cost 489 ) 3.563 * * [simplify]: iteration 2 : 5002 enodes (cost 478 ) 3.566 * [simplify]: Simplified to: (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ 1.0 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt 1.0) (cbrt 1.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt 1.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 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) (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) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt 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) (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) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (- (pow (* +nan.0 PI) 0.5) (- (/ (* +nan.0 (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5)) (pow n 2)) (/ (* +nan.0 (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5)) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* +nan.0 (+ (neg (/ PI n)) (- (/ PI (pow n 2)) PI))) (* +nan.0 (+ (neg (* (pow n 2) PI)) (- (* PI n) (* (pow n 3) PI)))) (* +nan.0 (+ (neg (/ PI n)) (- (/ PI (pow n 2)) PI))) (* +nan.0 (+ (neg (/ PI n)) (- (/ PI (pow n 2)) PI))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.567 * * * [progress]: adding candidates to table 3.807 * * [progress]: iteration 4 / 4 3.807 * * * [progress]: picking best candidate 3.835 * * * * [pick]: Picked # 3.835 * * * [progress]: localizing error 3.854 * * * [progress]: generating rewritten candidates 3.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.861 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.866 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.871 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.878 * * * [progress]: generating series expansions 3.878 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.879 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.879 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.879 * [taylor]: Taking taylor expansion of 0.5 in n 3.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.879 * [taylor]: Taking taylor expansion of 2.0 in n 3.879 * [taylor]: Taking taylor expansion of (* n PI) in n 3.879 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of PI in n 3.885 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.885 * [taylor]: Taking taylor expansion of 0.5 in n 3.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.885 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.885 * [taylor]: Taking taylor expansion of 2.0 in n 3.885 * [taylor]: Taking taylor expansion of (* n PI) in n 3.885 * [taylor]: Taking taylor expansion of n in n 3.885 * [taylor]: Taking taylor expansion of PI in n 3.969 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.969 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.969 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.969 * [taylor]: Taking taylor expansion of 0.5 in n 3.969 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.969 * [taylor]: Taking taylor expansion of 2.0 in n 3.969 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.969 * [taylor]: Taking taylor expansion of PI in n 3.969 * [taylor]: Taking taylor expansion of n in n 3.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.973 * [taylor]: Taking taylor expansion of 0.5 in n 3.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.973 * [taylor]: Taking taylor expansion of 2.0 in n 3.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.973 * [taylor]: Taking taylor expansion of PI in n 3.973 * [taylor]: Taking taylor expansion of n in n 4.053 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 4.053 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.053 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.053 * [taylor]: Taking taylor expansion of 0.5 in n 4.053 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.053 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.053 * [taylor]: Taking taylor expansion of -2.0 in n 4.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.053 * [taylor]: Taking taylor expansion of PI in n 4.053 * [taylor]: Taking taylor expansion of n in n 4.063 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.063 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.063 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.063 * [taylor]: Taking taylor expansion of 0.5 in n 4.063 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.063 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.063 * [taylor]: Taking taylor expansion of -2.0 in n 4.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.063 * [taylor]: Taking taylor expansion of PI in n 4.063 * [taylor]: Taking taylor expansion of n in n 4.143 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 4.143 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.143 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.143 * [taylor]: Taking taylor expansion of 2.0 in n 4.143 * [taylor]: Taking taylor expansion of (* n PI) in n 4.143 * [taylor]: Taking taylor expansion of n in n 4.143 * [taylor]: Taking taylor expansion of PI in n 4.143 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.143 * [taylor]: Taking taylor expansion of 2.0 in n 4.143 * [taylor]: Taking taylor expansion of (* n PI) in n 4.143 * [taylor]: Taking taylor expansion of n in n 4.143 * [taylor]: Taking taylor expansion of PI in n 4.156 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.156 * [taylor]: Taking taylor expansion of 2.0 in n 4.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.156 * [taylor]: Taking taylor expansion of PI in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.156 * [taylor]: Taking taylor expansion of 2.0 in n 4.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.156 * [taylor]: Taking taylor expansion of PI in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.165 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.165 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.165 * [taylor]: Taking taylor expansion of -2.0 in n 4.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.165 * [taylor]: Taking taylor expansion of PI in n 4.165 * [taylor]: Taking taylor expansion of n in n 4.165 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.165 * [taylor]: Taking taylor expansion of -2.0 in n 4.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.165 * [taylor]: Taking taylor expansion of PI in n 4.165 * [taylor]: Taking taylor expansion of n in n 4.174 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 4.174 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.174 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.174 * [taylor]: Taking taylor expansion of 2.0 in n 4.174 * [taylor]: Taking taylor expansion of (* n PI) in n 4.174 * [taylor]: Taking taylor expansion of n in n 4.174 * [taylor]: Taking taylor expansion of PI in n 4.174 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.174 * [taylor]: Taking taylor expansion of 2.0 in n 4.174 * [taylor]: Taking taylor expansion of (* n PI) in n 4.174 * [taylor]: Taking taylor expansion of n in n 4.174 * [taylor]: Taking taylor expansion of PI in n 4.187 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.187 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.187 * [taylor]: Taking taylor expansion of 2.0 in n 4.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.187 * [taylor]: Taking taylor expansion of PI in n 4.187 * [taylor]: Taking taylor expansion of n in n 4.187 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.187 * [taylor]: Taking taylor expansion of 2.0 in n 4.187 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.187 * [taylor]: Taking taylor expansion of PI in n 4.187 * [taylor]: Taking taylor expansion of n in n 4.196 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.196 * [taylor]: Taking taylor expansion of -2.0 in n 4.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.196 * [taylor]: Taking taylor expansion of PI in n 4.196 * [taylor]: Taking taylor expansion of n in n 4.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.196 * [taylor]: Taking taylor expansion of -2.0 in n 4.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.196 * [taylor]: Taking taylor expansion of PI in n 4.196 * [taylor]: Taking taylor expansion of n in n 4.205 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.205 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.205 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.205 * [taylor]: Taking taylor expansion of 1.0 in k 4.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.205 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.205 * [taylor]: Taking taylor expansion of k in k 4.206 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.207 * [taylor]: Taking taylor expansion of k in k 4.224 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.224 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.224 * [taylor]: Taking taylor expansion of 1.0 in k 4.224 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.224 * [taylor]: Taking taylor expansion of k in k 4.225 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.225 * [taylor]: Taking taylor expansion of 1.0 in k 4.225 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.225 * [taylor]: Taking taylor expansion of k in k 4.235 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.236 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.236 * [taylor]: Taking taylor expansion of 1.0 in k 4.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.236 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.236 * [taylor]: Taking taylor expansion of -1 in k 4.236 * [taylor]: Taking taylor expansion of k in k 4.237 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.237 * [taylor]: Taking taylor expansion of 1.0 in k 4.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.237 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.237 * [taylor]: Taking taylor expansion of -1 in k 4.237 * [taylor]: Taking taylor expansion of k in k 4.249 * * * [progress]: simplifying candidates 4.250 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 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))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) 4.256 * * [simplify]: iteration 0 : 435 enodes (cost 565 ) 4.263 * * [simplify]: iteration 1 : 1610 enodes (cost 505 ) 4.292 * * [simplify]: iteration 2 : 5001 enodes (cost 493 ) 4.295 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 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))) (neg 1.0) (neg (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) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (* +nan.0 (+ (/ (/ -1 k) k) (+ (/ 1 k) (/ -1 (pow k 3))))) (- (+ (/ (neg +nan.0) (pow k 2)) (/ +nan.0 k)) +nan.0) 4.296 * * * [progress]: adding candidates to table 4.546 * [progress]: [Phase 3 of 3] Extracting. 4.546 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.549 * * * [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) 4.549 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 4.592 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 4.621 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 4.669 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 4.710 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 4.752 * * * [regime]: Found split indices: #