13.914 * [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))) 0.175 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.176 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.178 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.181 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.187 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.211 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.211 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.214 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.228 * * * [progress]: generating rewritten candidates 0.228 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.267 * [taylor]: Taking taylor expansion of 0.5 in k 0.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.267 * [taylor]: Taking taylor expansion of 1.0 in k 0.267 * [taylor]: Taking taylor expansion of k in k 0.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.267 * [taylor]: Taking taylor expansion of 2.0 in k 0.267 * [taylor]: Taking taylor expansion of (* n PI) in k 0.267 * [taylor]: Taking taylor expansion of n in k 0.267 * [taylor]: Taking taylor expansion of PI in k 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.268 * [taylor]: Taking taylor expansion of 0.5 in n 0.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.268 * [taylor]: Taking taylor expansion of 2.0 in n 0.268 * [taylor]: Taking taylor expansion of (* n PI) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.274 * [taylor]: Taking taylor expansion of 0.5 in n 0.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of k in n 0.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.275 * [taylor]: Taking taylor expansion of 2.0 in n 0.275 * [taylor]: Taking taylor expansion of (* n PI) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.280 * [taylor]: Taking taylor expansion of 0.5 in k 0.280 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.280 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.280 * [taylor]: Taking taylor expansion of 2.0 in k 0.280 * [taylor]: Taking taylor expansion of PI in k 0.281 * [taylor]: Taking taylor expansion of (log n) in k 0.281 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.327 * [taylor]: Taking taylor expansion of 0.5 in k 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.327 * [taylor]: Taking taylor expansion of 2.0 in k 0.327 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.327 * [taylor]: Taking taylor expansion of PI in k 0.327 * [taylor]: Taking taylor expansion of n in k 0.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.328 * [taylor]: Taking taylor expansion of 0.5 in n 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.328 * [taylor]: Taking taylor expansion of k in n 0.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.328 * [taylor]: Taking taylor expansion of 2.0 in n 0.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.343 * [taylor]: Taking taylor expansion of 0.5 in k 0.343 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.343 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.343 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.343 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.343 * [taylor]: Taking taylor expansion of 2.0 in k 0.343 * [taylor]: Taking taylor expansion of PI in k 0.344 * [taylor]: Taking taylor expansion of (log n) in k 0.344 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.354 * [taylor]: Taking taylor expansion of 0 in k 0.361 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.372 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.372 * [taylor]: Taking taylor expansion of 0.5 in k 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.372 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.372 * [taylor]: Taking taylor expansion of -2.0 in k 0.372 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.372 * [taylor]: Taking taylor expansion of PI in k 0.372 * [taylor]: Taking taylor expansion of n in k 0.373 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.373 * [taylor]: Taking taylor expansion of 0.5 in n 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.373 * [taylor]: Taking taylor expansion of k in n 0.373 * [taylor]: Taking taylor expansion of 1.0 in n 0.373 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.374 * [taylor]: Taking taylor expansion of -2.0 in n 0.374 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.374 * [taylor]: Taking taylor expansion of PI in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.377 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.377 * [taylor]: Taking taylor expansion of 0.5 in n 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.377 * [taylor]: Taking taylor expansion of k in n 0.377 * [taylor]: Taking taylor expansion of 1.0 in n 0.377 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.377 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.377 * [taylor]: Taking taylor expansion of -2.0 in n 0.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.377 * [taylor]: Taking taylor expansion of PI in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.381 * [taylor]: Taking taylor expansion of 0.5 in k 0.381 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.382 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.382 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.382 * [taylor]: Taking taylor expansion of -2.0 in k 0.382 * [taylor]: Taking taylor expansion of PI in k 0.383 * [taylor]: Taking taylor expansion of (log n) in k 0.383 * [taylor]: Taking taylor expansion of n in k 0.392 * [taylor]: Taking taylor expansion of 0 in k 0.399 * [taylor]: Taking taylor expansion of 0 in k 0.408 * [taylor]: Taking taylor expansion of 0 in k 0.409 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.409 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.409 * [taylor]: Taking taylor expansion of (* n PI) in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.409 * [taylor]: Taking taylor expansion of (* n PI) in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.422 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.437 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.437 * [taylor]: Taking taylor expansion of -2.0 in n 0.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.437 * [taylor]: Taking taylor expansion of PI in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.438 * [taylor]: Taking taylor expansion of -2.0 in n 0.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.446 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.446 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.446 * [taylor]: Taking taylor expansion of 1.0 in k 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.459 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.470 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.470 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.470 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.470 * [taylor]: Taking taylor expansion of -1 in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.472 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.472 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.472 * [taylor]: Taking taylor expansion of -1 in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.484 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.485 * [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 0.485 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.485 * [taylor]: Taking taylor expansion of 1.0 in n 0.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.485 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.485 * [taylor]: Taking taylor expansion of k in n 0.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.485 * [taylor]: Taking taylor expansion of 0.5 in n 0.485 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.485 * [taylor]: Taking taylor expansion of 1.0 in n 0.485 * [taylor]: Taking taylor expansion of k in n 0.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.485 * [taylor]: Taking taylor expansion of 2.0 in n 0.485 * [taylor]: Taking taylor expansion of (* n PI) in n 0.485 * [taylor]: Taking taylor expansion of n in n 0.485 * [taylor]: Taking taylor expansion of PI in n 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.490 * [taylor]: Taking taylor expansion of 1.0 in k 0.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.490 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.492 * [taylor]: Taking taylor expansion of 0.5 in k 0.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.492 * [taylor]: Taking taylor expansion of 2.0 in k 0.492 * [taylor]: Taking taylor expansion of (* n PI) in k 0.492 * [taylor]: Taking taylor expansion of n in k 0.492 * [taylor]: Taking taylor expansion of PI in k 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.493 * [taylor]: Taking taylor expansion of 1.0 in k 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.494 * [taylor]: Taking taylor expansion of 0.5 in k 0.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.494 * [taylor]: Taking taylor expansion of 2.0 in k 0.494 * [taylor]: Taking taylor expansion of (* n PI) in k 0.494 * [taylor]: Taking taylor expansion of n in k 0.494 * [taylor]: Taking taylor expansion of PI in k 0.496 * [taylor]: Taking taylor expansion of 0 in n 0.501 * [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 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of +nan.0 in n 0.501 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.501 * [taylor]: Taking taylor expansion of 0.5 in n 0.501 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log PI) in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log n) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.504 * [taylor]: Taking taylor expansion of 2.0 in n 0.529 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.529 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of +nan.0 in n 0.529 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.529 * [taylor]: Taking taylor expansion of 0.5 in n 0.529 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.529 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.529 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log PI) in n 0.529 * [taylor]: Taking taylor expansion of PI in n 0.531 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.531 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log n) in n 0.531 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [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 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of +nan.0 in n 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.539 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log PI) in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.541 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (log n) in n 0.541 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.545 * [taylor]: Taking taylor expansion of 2.0 in n 0.545 * [taylor]: Taking taylor expansion of (* n PI) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of PI in n 0.596 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.596 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of +nan.0 in n 0.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log n) in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log PI) in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.609 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.610 * [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 0.610 * [taylor]: Taking taylor expansion of +nan.0 in n 0.610 * [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 0.610 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.610 * [taylor]: Taking taylor expansion of 0.5 in n 0.610 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.610 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.610 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.610 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.612 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log PI) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (log n) in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.618 * [taylor]: Taking taylor expansion of 2.0 in n 0.618 * [taylor]: Taking taylor expansion of (* n PI) in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of PI in n 0.621 * [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 0.621 * [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 0.621 * [taylor]: Taking taylor expansion of +nan.0 in n 0.621 * [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 0.621 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (log PI) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log n) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (* n PI) in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.710 * [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 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.716 * [taylor]: Taking taylor expansion of 2.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.717 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.717 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.718 * [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 0.720 * [taylor]: Taking taylor expansion of 0 in n 0.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.721 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.721 * [taylor]: Taking taylor expansion of +nan.0 in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [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 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.731 * [taylor]: Taking taylor expansion of +nan.0 in n 0.731 * [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 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of 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 (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 0.752 * [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 0.761 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.761 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.761 * [taylor]: Taking taylor expansion of 0.5 in n 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.761 * [taylor]: Taking taylor expansion of k in n 0.761 * [taylor]: Taking taylor expansion of 1.0 in n 0.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.761 * [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 0.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.766 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.766 * [taylor]: Taking taylor expansion of 0.5 in k 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.766 * [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 0.767 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.767 * [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 0.769 * [taylor]: Taking taylor expansion of 1.0 in k 0.769 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.769 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.769 * [taylor]: Taking taylor expansion of -2.0 in k 0.769 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.769 * [taylor]: Taking taylor expansion of PI in k 0.769 * [taylor]: Taking taylor expansion of n in k 0.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.770 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.770 * [taylor]: Taking taylor expansion of -1 in k 0.770 * [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 0.772 * [taylor]: Taking taylor expansion of -2.0 in n 0.772 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.772 * [taylor]: Taking taylor expansion of PI in n 0.772 * [taylor]: Taking taylor expansion of n in n 0.781 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.781 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.781 * [taylor]: Taking taylor expansion of +nan.0 in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.781 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.781 * [taylor]: Taking taylor expansion of 0.5 in n 0.781 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.781 * [taylor]: Taking taylor expansion of k in n 0.781 * [taylor]: Taking taylor expansion of 1.0 in n 0.781 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.781 * [taylor]: Taking taylor expansion of -2.0 in n 0.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.781 * [taylor]: Taking taylor expansion of PI in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.805 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.805 * [taylor]: Taking taylor expansion of +nan.0 in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.805 * [taylor]: Taking taylor expansion of 0.5 in n 0.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.806 * [taylor]: Taking taylor expansion of k in n 0.806 * [taylor]: Taking taylor expansion of 1.0 in n 0.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.806 * [taylor]: Taking taylor expansion of -2.0 in n 0.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.806 * [taylor]: Taking taylor expansion of PI in n 0.806 * [taylor]: Taking taylor expansion of n in n 0.815 * * * [progress]: simplifying candidates 0.817 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.920 * * * [progress]: adding candidates to table 1.328 * * [progress]: iteration 2 / 4 1.328 * * * [progress]: picking best candidate 1.352 * * * * [pick]: Picked # 1.352 * * * [progress]: localizing error 1.370 * * * [progress]: generating rewritten candidates 1.370 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.375 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.403 * * * [progress]: generating series expansions 1.403 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.403 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.403 * [taylor]: Taking taylor expansion of 2.0 in n 1.403 * [taylor]: Taking taylor expansion of (* n PI) in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.404 * [taylor]: Taking taylor expansion of PI in n 1.404 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.404 * [taylor]: Taking taylor expansion of 2.0 in n 1.404 * [taylor]: Taking taylor expansion of (* n PI) in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.404 * [taylor]: Taking taylor expansion of PI in n 1.421 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.421 * [taylor]: Taking taylor expansion of 2.0 in n 1.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.422 * [taylor]: Taking taylor expansion of 2.0 in n 1.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.422 * [taylor]: Taking taylor expansion of PI in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.431 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of -2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of -2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.440 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.440 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.440 * [taylor]: Taking taylor expansion of 2.0 in n 1.441 * [taylor]: Taking taylor expansion of (* n PI) in n 1.441 * [taylor]: Taking taylor expansion of n in n 1.441 * [taylor]: Taking taylor expansion of PI in n 1.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.441 * [taylor]: Taking taylor expansion of 2.0 in n 1.441 * [taylor]: Taking taylor expansion of (* n PI) in n 1.441 * [taylor]: Taking taylor expansion of n in n 1.441 * [taylor]: Taking taylor expansion of PI in n 1.453 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of 2.0 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of 2.0 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.462 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.462 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.462 * [taylor]: Taking taylor expansion of -2.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.463 * [taylor]: Taking taylor expansion of -2.0 in n 1.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.471 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.473 * [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 1.473 * [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 1.473 * [taylor]: Taking taylor expansion of 1.0 in k 1.473 * [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 1.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.473 * [taylor]: Taking taylor expansion of k in k 1.474 * [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 1.474 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.474 * [taylor]: Taking taylor expansion of 0.5 in k 1.474 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.474 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.475 * [taylor]: Taking taylor expansion of 1.0 in k 1.475 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.475 * [taylor]: Taking taylor expansion of 2.0 in k 1.476 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (log n) in k 1.476 * [taylor]: Taking taylor expansion of n in k 1.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.477 * [taylor]: Taking taylor expansion of 1.0 in k 1.477 * [taylor]: Taking taylor expansion of (log PI) in k 1.477 * [taylor]: Taking taylor expansion of PI in k 1.482 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.483 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.483 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.483 * [taylor]: Taking taylor expansion of 0.5 in k 1.483 * [taylor]: Taking taylor expansion of k in k 1.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.483 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.483 * [taylor]: Taking taylor expansion of 2.0 in k 1.483 * [taylor]: Taking taylor expansion of (* n PI) in k 1.483 * [taylor]: Taking taylor expansion of n in k 1.483 * [taylor]: Taking taylor expansion of PI in k 1.486 * [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 1.486 * [taylor]: Taking taylor expansion of 1.0 in n 1.486 * [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 1.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.486 * [taylor]: Taking taylor expansion of k in n 1.486 * [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 1.486 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.486 * [taylor]: Taking taylor expansion of 0.5 in n 1.486 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.486 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.486 * [taylor]: Taking taylor expansion of 1.0 in n 1.486 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.486 * [taylor]: Taking taylor expansion of 2.0 in n 1.488 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.488 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.488 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.488 * [taylor]: Taking taylor expansion of 1.0 in n 1.488 * [taylor]: Taking taylor expansion of (log n) in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.489 * [taylor]: Taking taylor expansion of 1.0 in n 1.489 * [taylor]: Taking taylor expansion of (log PI) in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.495 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.495 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.495 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.495 * [taylor]: Taking taylor expansion of 0.5 in n 1.495 * [taylor]: Taking taylor expansion of k in n 1.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.495 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.495 * [taylor]: Taking taylor expansion of 2.0 in n 1.495 * [taylor]: Taking taylor expansion of (* n PI) in n 1.495 * [taylor]: Taking taylor expansion of n in n 1.495 * [taylor]: Taking taylor expansion of PI in n 1.508 * [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 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [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 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.508 * [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 1.508 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.509 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.509 * [taylor]: Taking taylor expansion of 0.5 in n 1.509 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.509 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.509 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.509 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.509 * [taylor]: Taking taylor expansion of 1.0 in n 1.509 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.509 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.511 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.511 * [taylor]: Taking taylor expansion of 1.0 in n 1.511 * [taylor]: Taking taylor expansion of (log n) in n 1.511 * [taylor]: Taking taylor expansion of n in n 1.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.511 * [taylor]: Taking taylor expansion of 1.0 in n 1.511 * [taylor]: Taking taylor expansion of (log PI) in n 1.511 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.517 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.517 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.517 * [taylor]: Taking taylor expansion of 0.5 in n 1.517 * [taylor]: Taking taylor expansion of k in n 1.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.517 * [taylor]: Taking taylor expansion of 2.0 in n 1.517 * [taylor]: Taking taylor expansion of (* n PI) in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.528 * [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 1.528 * [taylor]: Taking taylor expansion of 1.0 in k 1.528 * [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 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.528 * [taylor]: Taking taylor expansion of k in k 1.529 * [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 1.529 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.530 * [taylor]: Taking taylor expansion of 0.5 in k 1.530 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.530 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.530 * [taylor]: Taking taylor expansion of 1.0 in k 1.530 * [taylor]: Taking taylor expansion of (log PI) in k 1.530 * [taylor]: Taking taylor expansion of PI in k 1.532 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.532 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.532 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.532 * [taylor]: Taking taylor expansion of 1.0 in k 1.532 * [taylor]: Taking taylor expansion of (log n) in k 1.532 * [taylor]: Taking taylor expansion of n in k 1.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.532 * [taylor]: Taking taylor expansion of 1.0 in k 1.532 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.532 * [taylor]: Taking taylor expansion of 2.0 in k 1.537 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.537 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.537 * [taylor]: Taking taylor expansion of 0.5 in k 1.537 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.538 * [taylor]: Taking taylor expansion of k in k 1.538 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.538 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.538 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.538 * [taylor]: Taking taylor expansion of 2.0 in k 1.538 * [taylor]: Taking taylor expansion of PI in k 1.539 * [taylor]: Taking taylor expansion of (log n) in k 1.539 * [taylor]: Taking taylor expansion of n in k 1.569 * [taylor]: Taking taylor expansion of 0 in k 1.628 * [taylor]: Taking taylor expansion of 0 in k 1.729 * [taylor]: Taking taylor expansion of 0 in k 1.848 * [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 1.848 * [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 1.848 * [taylor]: Taking taylor expansion of 1.0 in k 1.848 * [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 1.848 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.848 * [taylor]: Taking taylor expansion of k in k 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.849 * [taylor]: Taking taylor expansion of 0.5 in k 1.849 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.849 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.849 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.849 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.849 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.849 * [taylor]: Taking taylor expansion of 1.0 in k 1.849 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.849 * [taylor]: Taking taylor expansion of 2.0 in k 1.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.851 * [taylor]: Taking taylor expansion of 1.0 in k 1.851 * [taylor]: Taking taylor expansion of (log PI) in k 1.851 * [taylor]: Taking taylor expansion of PI in k 1.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (log n) in k 1.853 * [taylor]: Taking taylor expansion of n in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.866 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.866 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.866 * [taylor]: Taking taylor expansion of n in k 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of 1.0 in n 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.867 * [taylor]: Taking taylor expansion of k in n 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.867 * [taylor]: Taking taylor expansion of 0.5 in n 1.867 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.867 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.867 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.867 * [taylor]: Taking taylor expansion of 1.0 in n 1.867 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.867 * [taylor]: Taking taylor expansion of 2.0 in n 1.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.869 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.869 * [taylor]: Taking taylor expansion of 1.0 in n 1.869 * [taylor]: Taking taylor expansion of (log PI) in n 1.869 * [taylor]: Taking taylor expansion of PI in n 1.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (log n) in n 1.871 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.878 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.878 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.878 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.878 * [taylor]: Taking taylor expansion of 0.5 in n 1.878 * [taylor]: Taking taylor expansion of k in n 1.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of 2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of 1.0 in n 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.882 * [taylor]: Taking taylor expansion of k in n 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.882 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.883 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.883 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.883 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.883 * [taylor]: Taking taylor expansion of 1.0 in n 1.883 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.883 * [taylor]: Taking taylor expansion of 2.0 in n 1.884 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.884 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.884 * [taylor]: Taking taylor expansion of 1.0 in n 1.884 * [taylor]: Taking taylor expansion of (log PI) in n 1.884 * [taylor]: Taking taylor expansion of PI in n 1.886 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.886 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.886 * [taylor]: Taking taylor expansion of 1.0 in n 1.886 * [taylor]: Taking taylor expansion of (log n) in n 1.886 * [taylor]: Taking taylor expansion of n in n 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.893 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.893 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.893 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.893 * [taylor]: Taking taylor expansion of 0.5 in n 1.893 * [taylor]: Taking taylor expansion of k in n 1.893 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.893 * [taylor]: Taking taylor expansion of 2.0 in n 1.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.893 * [taylor]: Taking taylor expansion of PI in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.904 * [taylor]: Taking taylor expansion of k in k 1.905 * [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 1.905 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.905 * [taylor]: Taking taylor expansion of 0.5 in k 1.905 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.905 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.905 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.905 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.905 * [taylor]: Taking taylor expansion of 1.0 in k 1.905 * [taylor]: Taking taylor expansion of (log PI) in k 1.905 * [taylor]: Taking taylor expansion of PI in k 1.907 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.907 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.907 * [taylor]: Taking taylor expansion of 1.0 in k 1.907 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.907 * [taylor]: Taking taylor expansion of 2.0 in k 1.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.909 * [taylor]: Taking taylor expansion of 1.0 in k 1.909 * [taylor]: Taking taylor expansion of (log n) in k 1.909 * [taylor]: Taking taylor expansion of n in k 1.916 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.916 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.916 * [taylor]: Taking taylor expansion of 0.5 in k 1.916 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.916 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.916 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.916 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.916 * [taylor]: Taking taylor expansion of 2.0 in k 1.916 * [taylor]: Taking taylor expansion of PI in k 1.917 * [taylor]: Taking taylor expansion of (log n) in k 1.917 * [taylor]: Taking taylor expansion of n in k 1.917 * [taylor]: Taking taylor expansion of k in k 1.957 * [taylor]: Taking taylor expansion of 0 in k 2.015 * [taylor]: Taking taylor expansion of 0 in k 2.102 * [taylor]: Taking taylor expansion of 0 in k 2.162 * [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 2.162 * [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 2.162 * [taylor]: Taking taylor expansion of 1.0 in k 2.162 * [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 2.162 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.162 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.163 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.163 * [taylor]: Taking taylor expansion of -1 in k 2.163 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.164 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.164 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.164 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.164 * [taylor]: Taking taylor expansion of -0.5 in k 2.164 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.164 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.164 * [taylor]: Taking taylor expansion of -2.0 in k 2.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.164 * [taylor]: Taking taylor expansion of PI in k 2.164 * [taylor]: Taking taylor expansion of n in k 2.165 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.165 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.165 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.165 * [taylor]: Taking taylor expansion of 0.5 in k 2.165 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.165 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.165 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.165 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.165 * [taylor]: Taking taylor expansion of 1.0 in k 2.166 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.166 * [taylor]: Taking taylor expansion of -2.0 in k 2.167 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.167 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.167 * [taylor]: Taking taylor expansion of 1.0 in k 2.167 * [taylor]: Taking taylor expansion of (log PI) in k 2.167 * [taylor]: Taking taylor expansion of PI in k 2.169 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.169 * [taylor]: Taking taylor expansion of 1.0 in k 2.169 * [taylor]: Taking taylor expansion of (log n) in k 2.169 * [taylor]: Taking taylor expansion of n in k 2.176 * [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 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [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 2.176 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.176 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.176 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.176 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.176 * [taylor]: Taking taylor expansion of -1 in n 2.176 * [taylor]: Taking taylor expansion of k in n 2.176 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.176 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.176 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.176 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.176 * [taylor]: Taking taylor expansion of -0.5 in n 2.176 * [taylor]: Taking taylor expansion of k in n 2.176 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.176 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.176 * [taylor]: Taking taylor expansion of -2.0 in n 2.176 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.177 * [taylor]: Taking taylor expansion of PI in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.182 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.182 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.182 * [taylor]: Taking taylor expansion of 0.5 in n 2.182 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.182 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.182 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.182 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.182 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.182 * [taylor]: Taking taylor expansion of 1.0 in n 2.182 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.182 * [taylor]: Taking taylor expansion of -2.0 in n 2.184 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log PI) in n 2.184 * [taylor]: Taking taylor expansion of PI in n 2.186 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log n) in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.193 * [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 2.193 * [taylor]: Taking taylor expansion of 1.0 in n 2.193 * [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 2.193 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.193 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.193 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.193 * [taylor]: Taking taylor expansion of -1 in n 2.193 * [taylor]: Taking taylor expansion of k in n 2.193 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.193 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.193 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.193 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.193 * [taylor]: Taking taylor expansion of -0.5 in n 2.193 * [taylor]: Taking taylor expansion of k in n 2.193 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.193 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.193 * [taylor]: Taking taylor expansion of -2.0 in n 2.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.193 * [taylor]: Taking taylor expansion of PI in n 2.193 * [taylor]: Taking taylor expansion of n in n 2.198 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.198 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.198 * [taylor]: Taking taylor expansion of 0.5 in n 2.198 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.198 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.198 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.199 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.199 * [taylor]: Taking taylor expansion of 1.0 in n 2.199 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.199 * [taylor]: Taking taylor expansion of -2.0 in n 2.200 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [taylor]: Taking taylor expansion of (log PI) in n 2.200 * [taylor]: Taking taylor expansion of PI in n 2.202 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.202 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.202 * [taylor]: Taking taylor expansion of 1.0 in n 2.202 * [taylor]: Taking taylor expansion of (log n) in n 2.202 * [taylor]: Taking taylor expansion of n in n 2.214 * [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 2.214 * [taylor]: Taking taylor expansion of 1.0 in k 2.214 * [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 2.214 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.214 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.214 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.214 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.214 * [taylor]: Taking taylor expansion of -0.5 in k 2.214 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.214 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.214 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.214 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.214 * [taylor]: Taking taylor expansion of -2.0 in k 2.214 * [taylor]: Taking taylor expansion of PI in k 2.215 * [taylor]: Taking taylor expansion of (log n) in k 2.215 * [taylor]: Taking taylor expansion of n in k 2.215 * [taylor]: Taking taylor expansion of k in k 2.226 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.226 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.226 * [taylor]: Taking taylor expansion of -1 in k 2.226 * [taylor]: Taking taylor expansion of k in k 2.230 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.230 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.230 * [taylor]: Taking taylor expansion of 0.5 in k 2.230 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.230 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.230 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.230 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.230 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.230 * [taylor]: Taking taylor expansion of 1.0 in k 2.230 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.230 * [taylor]: Taking taylor expansion of -2.0 in k 2.232 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.232 * [taylor]: Taking taylor expansion of 1.0 in k 2.232 * [taylor]: Taking taylor expansion of (log PI) in k 2.232 * [taylor]: Taking taylor expansion of PI in k 2.234 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.234 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.234 * [taylor]: Taking taylor expansion of 1.0 in k 2.234 * [taylor]: Taking taylor expansion of (log n) in k 2.234 * [taylor]: Taking taylor expansion of n in k 2.271 * [taylor]: Taking taylor expansion of 0 in k 2.339 * [taylor]: Taking taylor expansion of 0 in k 2.384 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.385 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.385 * [taylor]: Taking taylor expansion of 0.5 in n 2.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.385 * [taylor]: Taking taylor expansion of 2.0 in n 2.385 * [taylor]: Taking taylor expansion of (* n PI) in n 2.385 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of PI in n 2.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.391 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.391 * [taylor]: Taking taylor expansion of 0.5 in n 2.391 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.391 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.391 * [taylor]: Taking taylor expansion of 2.0 in n 2.391 * [taylor]: Taking taylor expansion of (* n PI) in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.391 * [taylor]: Taking taylor expansion of PI in n 2.489 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.489 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.489 * [taylor]: Taking taylor expansion of 0.5 in n 2.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.489 * [taylor]: Taking taylor expansion of 2.0 in n 2.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.489 * [taylor]: Taking taylor expansion of PI in n 2.489 * [taylor]: Taking taylor expansion of n in n 2.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.493 * [taylor]: Taking taylor expansion of 0.5 in n 2.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.493 * [taylor]: Taking taylor expansion of 2.0 in n 2.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.493 * [taylor]: Taking taylor expansion of PI in n 2.493 * [taylor]: Taking taylor expansion of n in n 2.717 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.717 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.717 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.717 * [taylor]: Taking taylor expansion of 0.5 in n 2.717 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.717 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.717 * [taylor]: Taking taylor expansion of -2.0 in n 2.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.717 * [taylor]: Taking taylor expansion of PI in n 2.717 * [taylor]: Taking taylor expansion of n in n 2.721 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.721 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.721 * [taylor]: Taking taylor expansion of 0.5 in n 2.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.722 * [taylor]: Taking taylor expansion of -2.0 in n 2.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.722 * [taylor]: Taking taylor expansion of PI in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.803 * * * [progress]: simplifying candidates 2.805 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 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) (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)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 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 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 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 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 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (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))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 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)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (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))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (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))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (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 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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)))))))))))))))))))))) (- (+ (* +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 (* (pow k 3) (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 (* (pow k 2) (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)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 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))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) (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))))) 2.817 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.832 * * [simplify]: iteration 1 : 4012 enodes (cost 1247 ) 2.899 * * [simplify]: iteration 2 : 5001 enodes (cost 1237 ) 2.906 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 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))))) (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))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (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))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 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) (* (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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (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))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (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))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.906 * * * [progress]: adding candidates to table 3.140 * * [progress]: iteration 3 / 4 3.140 * * * [progress]: picking best candidate 3.170 * * * * [pick]: Picked # 3.170 * * * [progress]: localizing error 3.188 * * * [progress]: generating rewritten candidates 3.188 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.199 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.239 * * * [progress]: generating series expansions 3.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.239 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.239 * [taylor]: Taking taylor expansion of 2.0 in n 3.239 * [taylor]: Taking taylor expansion of (* n PI) in n 3.239 * [taylor]: Taking taylor expansion of n in n 3.239 * [taylor]: Taking taylor expansion of PI in n 3.240 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.240 * [taylor]: Taking taylor expansion of 2.0 in n 3.240 * [taylor]: Taking taylor expansion of (* n PI) in n 3.240 * [taylor]: Taking taylor expansion of n in n 3.240 * [taylor]: Taking taylor expansion of PI in n 3.252 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.252 * [taylor]: Taking taylor expansion of 2.0 in n 3.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.252 * [taylor]: Taking taylor expansion of PI in n 3.252 * [taylor]: Taking taylor expansion of n in n 3.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.252 * [taylor]: Taking taylor expansion of 2.0 in n 3.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.253 * [taylor]: Taking taylor expansion of PI in n 3.253 * [taylor]: Taking taylor expansion of n in n 3.262 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.262 * [taylor]: Taking taylor expansion of -2.0 in n 3.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.262 * [taylor]: Taking taylor expansion of PI in n 3.262 * [taylor]: Taking taylor expansion of n in n 3.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.262 * [taylor]: Taking taylor expansion of -2.0 in n 3.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.262 * [taylor]: Taking taylor expansion of PI in n 3.262 * [taylor]: Taking taylor expansion of n in n 3.271 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.271 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.271 * [taylor]: Taking taylor expansion of 2.0 in n 3.271 * [taylor]: Taking taylor expansion of (* n PI) in n 3.271 * [taylor]: Taking taylor expansion of n in n 3.271 * [taylor]: Taking taylor expansion of PI in n 3.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.271 * [taylor]: Taking taylor expansion of 2.0 in n 3.271 * [taylor]: Taking taylor expansion of (* n PI) in n 3.271 * [taylor]: Taking taylor expansion of n in n 3.271 * [taylor]: Taking taylor expansion of PI in n 3.283 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.283 * [taylor]: Taking taylor expansion of 2.0 in n 3.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.283 * [taylor]: Taking taylor expansion of PI in n 3.283 * [taylor]: Taking taylor expansion of n in n 3.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.284 * [taylor]: Taking taylor expansion of 2.0 in n 3.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.284 * [taylor]: Taking taylor expansion of PI in n 3.284 * [taylor]: Taking taylor expansion of n in n 3.292 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.292 * [taylor]: Taking taylor expansion of -2.0 in n 3.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.293 * [taylor]: Taking taylor expansion of PI in n 3.293 * [taylor]: Taking taylor expansion of n in n 3.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.293 * [taylor]: Taking taylor expansion of -2.0 in n 3.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.293 * [taylor]: Taking taylor expansion of PI in n 3.293 * [taylor]: Taking taylor expansion of n in n 3.306 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.306 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.306 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.306 * [taylor]: Taking taylor expansion of 1.0 in k 3.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.306 * [taylor]: Taking taylor expansion of k in k 3.308 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.308 * [taylor]: Taking taylor expansion of 1.0 in k 3.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.308 * [taylor]: Taking taylor expansion of k in k 3.319 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.319 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.319 * [taylor]: Taking taylor expansion of 1.0 in k 3.319 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.319 * [taylor]: Taking taylor expansion of k in k 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.320 * [taylor]: Taking taylor expansion of 1.0 in k 3.320 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.320 * [taylor]: Taking taylor expansion of k in k 3.330 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.331 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.331 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.331 * [taylor]: Taking taylor expansion of -1 in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.332 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.332 * [taylor]: Taking taylor expansion of 1.0 in k 3.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.332 * [taylor]: Taking taylor expansion of -1 in k 3.332 * [taylor]: Taking taylor expansion of k in k 3.344 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.345 * [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 (k n) around 0 3.345 * [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 3.345 * [taylor]: Taking taylor expansion of 1.0 in n 3.345 * [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 3.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.345 * [taylor]: Taking taylor expansion of k in n 3.345 * [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 3.345 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.345 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.345 * [taylor]: Taking taylor expansion of 0.5 in n 3.345 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.345 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.345 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.345 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.345 * [taylor]: Taking taylor expansion of 1.0 in n 3.345 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.345 * [taylor]: Taking taylor expansion of 2.0 in n 3.347 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.347 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.347 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.347 * [taylor]: Taking taylor expansion of 1.0 in n 3.347 * [taylor]: Taking taylor expansion of (log n) in n 3.347 * [taylor]: Taking taylor expansion of n in n 3.348 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.348 * [taylor]: Taking taylor expansion of 1.0 in n 3.348 * [taylor]: Taking taylor expansion of (log PI) in n 3.348 * [taylor]: Taking taylor expansion of PI in n 3.353 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.353 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.353 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.353 * [taylor]: Taking taylor expansion of 0.5 in n 3.353 * [taylor]: Taking taylor expansion of k in n 3.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.353 * [taylor]: Taking taylor expansion of 2.0 in n 3.353 * [taylor]: Taking taylor expansion of (* n PI) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.353 * [taylor]: Taking taylor expansion of PI in n 3.359 * [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 3.359 * [taylor]: Taking taylor expansion of 1.0 in k 3.359 * [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 3.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.359 * [taylor]: Taking taylor expansion of k in k 3.360 * [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 3.360 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.361 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.361 * [taylor]: Taking taylor expansion of 0.5 in k 3.361 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.361 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.361 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.361 * [taylor]: Taking taylor expansion of 1.0 in k 3.361 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.361 * [taylor]: Taking taylor expansion of 2.0 in k 3.363 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.363 * [taylor]: Taking taylor expansion of 1.0 in k 3.363 * [taylor]: Taking taylor expansion of (log n) in k 3.363 * [taylor]: Taking taylor expansion of n in k 3.363 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.363 * [taylor]: Taking taylor expansion of 1.0 in k 3.363 * [taylor]: Taking taylor expansion of (log PI) in k 3.363 * [taylor]: Taking taylor expansion of PI in k 3.368 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.368 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.368 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.368 * [taylor]: Taking taylor expansion of 0.5 in k 3.368 * [taylor]: Taking taylor expansion of k in k 3.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.368 * [taylor]: Taking taylor expansion of 2.0 in k 3.368 * [taylor]: Taking taylor expansion of (* n PI) in k 3.368 * [taylor]: Taking taylor expansion of n in k 3.368 * [taylor]: Taking taylor expansion of PI in k 3.371 * [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 3.371 * [taylor]: Taking taylor expansion of 1.0 in k 3.371 * [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 3.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.371 * [taylor]: Taking taylor expansion of k in k 3.373 * [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 3.373 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.373 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.373 * [taylor]: Taking taylor expansion of 0.5 in k 3.373 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.373 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.373 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.373 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.373 * [taylor]: Taking taylor expansion of 1.0 in k 3.373 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.373 * [taylor]: Taking taylor expansion of 2.0 in k 3.375 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.375 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.375 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.375 * [taylor]: Taking taylor expansion of 1.0 in k 3.375 * [taylor]: Taking taylor expansion of (log n) in k 3.375 * [taylor]: Taking taylor expansion of n in k 3.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.375 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.375 * [taylor]: Taking taylor expansion of 1.0 in k 3.375 * [taylor]: Taking taylor expansion of (log PI) in k 3.375 * [taylor]: Taking taylor expansion of PI in k 3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.380 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.380 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.380 * [taylor]: Taking taylor expansion of 0.5 in k 3.380 * [taylor]: Taking taylor expansion of k in k 3.380 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.380 * [taylor]: Taking taylor expansion of 2.0 in k 3.380 * [taylor]: Taking taylor expansion of (* n PI) in k 3.380 * [taylor]: Taking taylor expansion of n in k 3.380 * [taylor]: Taking taylor expansion of PI in k 3.389 * [taylor]: Taking taylor expansion of 0 in n 3.403 * [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 3.403 * [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 3.403 * [taylor]: Taking taylor expansion of +nan.0 in n 3.403 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.403 * [taylor]: Taking taylor expansion of 0.5 in n 3.403 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.403 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.403 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.403 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.404 * [taylor]: Taking taylor expansion of 1.0 in n 3.404 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.404 * [taylor]: Taking taylor expansion of 2.0 in n 3.405 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.405 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.405 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.405 * [taylor]: Taking taylor expansion of 1.0 in n 3.405 * [taylor]: Taking taylor expansion of (log n) in n 3.405 * [taylor]: Taking taylor expansion of n in n 3.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.406 * [taylor]: Taking taylor expansion of 1.0 in n 3.406 * [taylor]: Taking taylor expansion of (log PI) in n 3.406 * [taylor]: Taking taylor expansion of PI in n 3.443 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.443 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.443 * [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 3.443 * [taylor]: Taking taylor expansion of +nan.0 in n 3.443 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.443 * [taylor]: Taking taylor expansion of 0.5 in n 3.443 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.443 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.443 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.443 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.443 * [taylor]: Taking taylor expansion of 1.0 in n 3.443 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.443 * [taylor]: Taking taylor expansion of 2.0 in n 3.445 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.445 * [taylor]: Taking taylor expansion of 1.0 in n 3.445 * [taylor]: Taking taylor expansion of (log n) in n 3.445 * [taylor]: Taking taylor expansion of n in n 3.446 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.446 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.446 * [taylor]: Taking taylor expansion of 1.0 in n 3.446 * [taylor]: Taking taylor expansion of (log PI) in n 3.446 * [taylor]: Taking taylor expansion of PI in n 3.451 * [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 3.451 * [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 3.451 * [taylor]: Taking taylor expansion of +nan.0 in n 3.451 * [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 3.451 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.451 * [taylor]: Taking taylor expansion of 0.5 in n 3.451 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.451 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.451 * [taylor]: Taking taylor expansion of 1.0 in n 3.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.451 * [taylor]: Taking taylor expansion of 2.0 in n 3.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.453 * [taylor]: Taking taylor expansion of 1.0 in n 3.453 * [taylor]: Taking taylor expansion of (log PI) in n 3.453 * [taylor]: Taking taylor expansion of PI in n 3.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.455 * [taylor]: Taking taylor expansion of 1.0 in n 3.455 * [taylor]: Taking taylor expansion of (log n) in n 3.455 * [taylor]: Taking taylor expansion of n in n 3.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.459 * [taylor]: Taking taylor expansion of 2.0 in n 3.459 * [taylor]: Taking taylor expansion of (* n PI) in n 3.459 * [taylor]: Taking taylor expansion of n in n 3.459 * [taylor]: Taking taylor expansion of PI in n 3.538 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +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 3.538 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +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 3.538 * [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 3.538 * [taylor]: Taking taylor expansion of +nan.0 in n 3.538 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.538 * [taylor]: Taking taylor expansion of 0.5 in n 3.538 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.538 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.538 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.538 * [taylor]: Taking taylor expansion of 1.0 in n 3.538 * [taylor]: Taking taylor expansion of (log PI) in n 3.538 * [taylor]: Taking taylor expansion of PI in n 3.540 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.540 * [taylor]: Taking taylor expansion of 1.0 in n 3.540 * [taylor]: Taking taylor expansion of (log n) in n 3.540 * [taylor]: Taking taylor expansion of n in n 3.541 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.541 * [taylor]: Taking taylor expansion of 1.0 in n 3.541 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.541 * [taylor]: Taking taylor expansion of 2.0 in n 3.547 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.547 * [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 3.547 * [taylor]: Taking taylor expansion of +nan.0 in n 3.547 * [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 3.547 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.547 * [taylor]: Taking taylor expansion of 0.5 in n 3.547 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.547 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.547 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.547 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.547 * [taylor]: Taking taylor expansion of 1.0 in n 3.547 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.547 * [taylor]: Taking taylor expansion of 2.0 in n 3.549 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.549 * [taylor]: Taking taylor expansion of 1.0 in n 3.549 * [taylor]: Taking taylor expansion of (log PI) in n 3.549 * [taylor]: Taking taylor expansion of PI in n 3.551 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.551 * [taylor]: Taking taylor expansion of 1.0 in n 3.551 * [taylor]: Taking taylor expansion of (log n) in n 3.551 * [taylor]: Taking taylor expansion of n in n 3.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.555 * [taylor]: Taking taylor expansion of 2.0 in n 3.555 * [taylor]: Taking taylor expansion of (* n PI) in n 3.555 * [taylor]: Taking taylor expansion of n in n 3.555 * [taylor]: Taking taylor expansion of PI in n 3.558 * [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 3.558 * [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 3.558 * [taylor]: Taking taylor expansion of +nan.0 in n 3.558 * [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 3.558 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.558 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.558 * [taylor]: Taking taylor expansion of 0.5 in n 3.558 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.558 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.559 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.559 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.559 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.559 * [taylor]: Taking taylor expansion of 2.0 in n 3.564 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.564 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.564 * [taylor]: Taking taylor expansion of 1.0 in n 3.564 * [taylor]: Taking taylor expansion of (log PI) in n 3.564 * [taylor]: Taking taylor expansion of PI in n 3.566 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.566 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.566 * [taylor]: Taking taylor expansion of 1.0 in n 3.566 * [taylor]: Taking taylor expansion of (log n) in n 3.566 * [taylor]: Taking taylor expansion of n in n 3.570 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.570 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.570 * [taylor]: Taking taylor expansion of 2.0 in n 3.570 * [taylor]: Taking taylor expansion of (* n PI) in n 3.570 * [taylor]: Taking taylor expansion of n in n 3.570 * [taylor]: Taking taylor expansion of PI in n 3.645 * [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 (k n) around 0 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of 1.0 in n 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.645 * [taylor]: Taking taylor expansion of k in n 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.645 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.645 * [taylor]: Taking taylor expansion of 0.5 in n 3.645 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.645 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.645 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.645 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.645 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.645 * [taylor]: Taking taylor expansion of 1.0 in n 3.645 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.645 * [taylor]: Taking taylor expansion of 2.0 in n 3.650 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.650 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.650 * [taylor]: Taking taylor expansion of 1.0 in n 3.651 * [taylor]: Taking taylor expansion of (log PI) in n 3.651 * [taylor]: Taking taylor expansion of PI in n 3.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.652 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.652 * [taylor]: Taking taylor expansion of 1.0 in n 3.652 * [taylor]: Taking taylor expansion of (log n) in n 3.652 * [taylor]: Taking taylor expansion of n in n 3.660 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.660 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.660 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.660 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.660 * [taylor]: Taking taylor expansion of 0.5 in n 3.660 * [taylor]: Taking taylor expansion of k in n 3.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.660 * [taylor]: Taking taylor expansion of 2.0 in n 3.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.660 * [taylor]: Taking taylor expansion of PI in n 3.660 * [taylor]: Taking taylor expansion of n in n 3.664 * [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 3.664 * [taylor]: Taking taylor expansion of 1.0 in k 3.664 * [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 3.664 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.664 * [taylor]: Taking taylor expansion of k in k 3.666 * [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 3.666 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.666 * [taylor]: Taking taylor expansion of 0.5 in k 3.666 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.666 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.666 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.666 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.666 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.666 * [taylor]: Taking taylor expansion of 1.0 in k 3.666 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.666 * [taylor]: Taking taylor expansion of 2.0 in k 3.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.668 * [taylor]: Taking taylor expansion of 1.0 in k 3.668 * [taylor]: Taking taylor expansion of (log PI) in k 3.668 * [taylor]: Taking taylor expansion of PI in k 3.670 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.670 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.670 * [taylor]: Taking taylor expansion of 1.0 in k 3.670 * [taylor]: Taking taylor expansion of (log n) in k 3.670 * [taylor]: Taking taylor expansion of n in k 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.676 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.676 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.676 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.676 * [taylor]: Taking taylor expansion of 0.5 in k 3.676 * [taylor]: Taking taylor expansion of k in k 3.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.677 * [taylor]: Taking taylor expansion of 2.0 in k 3.677 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.677 * [taylor]: Taking taylor expansion of PI in k 3.677 * [taylor]: Taking taylor expansion of n in k 3.677 * [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 3.677 * [taylor]: Taking taylor expansion of 1.0 in k 3.677 * [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 3.677 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.677 * [taylor]: Taking taylor expansion of k in k 3.678 * [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 3.678 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.678 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.678 * [taylor]: Taking taylor expansion of 0.5 in k 3.679 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.679 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.679 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.679 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.679 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.679 * [taylor]: Taking taylor expansion of 1.0 in k 3.679 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.679 * [taylor]: Taking taylor expansion of 2.0 in k 3.681 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.681 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.681 * [taylor]: Taking taylor expansion of 1.0 in k 3.681 * [taylor]: Taking taylor expansion of (log PI) in k 3.681 * [taylor]: Taking taylor expansion of PI in k 3.682 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.682 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.682 * [taylor]: Taking taylor expansion of 1.0 in k 3.682 * [taylor]: Taking taylor expansion of (log n) in k 3.683 * [taylor]: Taking taylor expansion of n in k 3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.689 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.689 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.689 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.689 * [taylor]: Taking taylor expansion of 0.5 in k 3.689 * [taylor]: Taking taylor expansion of k in k 3.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.689 * [taylor]: Taking taylor expansion of 2.0 in k 3.690 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.690 * [taylor]: Taking taylor expansion of PI in k 3.690 * [taylor]: Taking taylor expansion of n in k 3.693 * [taylor]: Taking taylor expansion of 0 in n 3.710 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.710 * [taylor]: Taking taylor expansion of +nan.0 in n 3.710 * [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 n))) k))))) in n 3.710 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.710 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.710 * [taylor]: Taking taylor expansion of 0.5 in n 3.710 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.710 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.710 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.710 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.710 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.710 * [taylor]: Taking taylor expansion of 1.0 in n 3.710 * [taylor]: Taking taylor expansion of (log PI) in n 3.711 * [taylor]: Taking taylor expansion of PI in n 3.712 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.712 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.713 * [taylor]: Taking taylor expansion of 1.0 in n 3.713 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.713 * [taylor]: Taking taylor expansion of 2.0 in n 3.715 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.715 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.715 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.715 * [taylor]: Taking taylor expansion of 1.0 in n 3.715 * [taylor]: Taking taylor expansion of (log n) in n 3.715 * [taylor]: Taking taylor expansion of n in n 3.722 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.722 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.722 * [taylor]: Taking taylor expansion of 0.5 in n 3.722 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.722 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.722 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.722 * [taylor]: Taking taylor expansion of 2.0 in n 3.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.722 * [taylor]: Taking taylor expansion of PI in n 3.722 * [taylor]: Taking taylor expansion of n in n 3.723 * [taylor]: Taking taylor expansion of k in n 3.766 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.766 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.766 * [taylor]: Taking taylor expansion of +nan.0 in n 3.766 * [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 n))) k))))) in n 3.766 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.766 * [taylor]: Taking taylor expansion of 0.5 in n 3.766 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.766 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.766 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.766 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.767 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.767 * [taylor]: Taking taylor expansion of 1.0 in n 3.767 * [taylor]: Taking taylor expansion of (log PI) in n 3.767 * [taylor]: Taking taylor expansion of PI in n 3.768 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.768 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.768 * [taylor]: Taking taylor expansion of 1.0 in n 3.768 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.768 * [taylor]: Taking taylor expansion of 2.0 in n 3.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.770 * [taylor]: Taking taylor expansion of 1.0 in n 3.770 * [taylor]: Taking taylor expansion of (log n) in n 3.770 * [taylor]: Taking taylor expansion of n in n 3.777 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.777 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.777 * [taylor]: Taking taylor expansion of 0.5 in n 3.777 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.777 * [taylor]: Taking taylor expansion of 2.0 in n 3.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.777 * [taylor]: Taking taylor expansion of PI in n 3.777 * [taylor]: Taking taylor expansion of n in n 3.779 * [taylor]: Taking taylor expansion of k in n 3.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.853 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.853 * [taylor]: Taking taylor expansion of +nan.0 in n 3.853 * [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 n))) k))))) in n 3.853 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.853 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.853 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.853 * [taylor]: Taking taylor expansion of 0.5 in n 3.853 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.853 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.853 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.853 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.853 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.853 * [taylor]: Taking taylor expansion of 1.0 in n 3.853 * [taylor]: Taking taylor expansion of (log PI) in n 3.853 * [taylor]: Taking taylor expansion of PI in n 3.855 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.855 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.855 * [taylor]: Taking taylor expansion of 1.0 in n 3.855 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.855 * [taylor]: Taking taylor expansion of 2.0 in n 3.857 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.857 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.857 * [taylor]: Taking taylor expansion of 1.0 in n 3.857 * [taylor]: Taking taylor expansion of (log n) in n 3.857 * [taylor]: Taking taylor expansion of n in n 3.863 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.864 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.864 * [taylor]: Taking taylor expansion of 0.5 in n 3.864 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.864 * [taylor]: Taking taylor expansion of 2.0 in n 3.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.864 * [taylor]: Taking taylor expansion of PI in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.865 * [taylor]: Taking taylor expansion of k in n 3.886 * [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 (k n) around 0 3.886 * [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 3.886 * [taylor]: Taking taylor expansion of 1.0 in n 3.886 * [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 3.886 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.886 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.886 * [taylor]: Taking taylor expansion of -1 in n 3.886 * [taylor]: Taking taylor expansion of k in n 3.886 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.886 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.886 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.886 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.886 * [taylor]: Taking taylor expansion of -0.5 in n 3.886 * [taylor]: Taking taylor expansion of k in n 3.886 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.886 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.886 * [taylor]: Taking taylor expansion of -2.0 in n 3.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.886 * [taylor]: Taking taylor expansion of PI in n 3.886 * [taylor]: Taking taylor expansion of n in n 3.891 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.891 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.891 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.891 * [taylor]: Taking taylor expansion of 0.5 in n 3.891 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.891 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.892 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.892 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.892 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.892 * [taylor]: Taking taylor expansion of 1.0 in n 3.892 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.892 * [taylor]: Taking taylor expansion of -2.0 in n 3.893 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.893 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.893 * [taylor]: Taking taylor expansion of 1.0 in n 3.893 * [taylor]: Taking taylor expansion of (log PI) in n 3.893 * [taylor]: Taking taylor expansion of PI in n 3.895 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.895 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.895 * [taylor]: Taking taylor expansion of 1.0 in n 3.895 * [taylor]: Taking taylor expansion of (log n) in n 3.895 * [taylor]: Taking taylor expansion of n in n 3.902 * [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 3.902 * [taylor]: Taking taylor expansion of 1.0 in k 3.902 * [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 3.902 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.902 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.902 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.902 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.902 * [taylor]: Taking taylor expansion of -1 in k 3.902 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.904 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.904 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.904 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.904 * [taylor]: Taking taylor expansion of -0.5 in k 3.904 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.904 * [taylor]: Taking taylor expansion of -2.0 in k 3.904 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.904 * [taylor]: Taking taylor expansion of PI in k 3.904 * [taylor]: Taking taylor expansion of n in k 3.905 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.905 * [taylor]: Taking taylor expansion of 0.5 in k 3.905 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.905 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.905 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.905 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.905 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.905 * [taylor]: Taking taylor expansion of 1.0 in k 3.905 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.905 * [taylor]: Taking taylor expansion of -2.0 in k 3.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (log PI) in k 3.912 * [taylor]: Taking taylor expansion of PI in k 3.914 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.914 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.914 * [taylor]: Taking taylor expansion of 1.0 in k 3.914 * [taylor]: Taking taylor expansion of (log n) in k 3.914 * [taylor]: Taking taylor expansion of n in k 3.921 * [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 3.921 * [taylor]: Taking taylor expansion of 1.0 in k 3.921 * [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 3.921 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.921 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.921 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.921 * [taylor]: Taking taylor expansion of -1 in k 3.921 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.922 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.922 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.922 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.922 * [taylor]: Taking taylor expansion of -0.5 in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.923 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.923 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.923 * [taylor]: Taking taylor expansion of -2.0 in k 3.923 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.923 * [taylor]: Taking taylor expansion of PI in k 3.923 * [taylor]: Taking taylor expansion of n in k 3.924 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.924 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.924 * [taylor]: Taking taylor expansion of 0.5 in k 3.924 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.924 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.924 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.924 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.924 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.924 * [taylor]: Taking taylor expansion of 1.0 in k 3.924 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.924 * [taylor]: Taking taylor expansion of -2.0 in k 3.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.926 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.926 * [taylor]: Taking taylor expansion of 1.0 in k 3.926 * [taylor]: Taking taylor expansion of (log PI) in k 3.926 * [taylor]: Taking taylor expansion of PI in k 3.927 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.927 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.927 * [taylor]: Taking taylor expansion of 1.0 in k 3.927 * [taylor]: Taking taylor expansion of (log n) in k 3.927 * [taylor]: Taking taylor expansion of n in k 3.937 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.937 * [taylor]: Taking taylor expansion of +nan.0 in n 3.937 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.937 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.937 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.937 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.937 * [taylor]: Taking taylor expansion of -0.5 in n 3.937 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.937 * [taylor]: Taking taylor expansion of -2.0 in n 3.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.937 * [taylor]: Taking taylor expansion of PI in n 3.937 * [taylor]: Taking taylor expansion of n in n 3.938 * [taylor]: Taking taylor expansion of k in n 3.943 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.943 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.943 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.943 * [taylor]: Taking taylor expansion of 0.5 in n 3.943 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.943 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.943 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.943 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.943 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.943 * [taylor]: Taking taylor expansion of 1.0 in n 3.943 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.943 * [taylor]: Taking taylor expansion of -2.0 in n 3.945 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.945 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.945 * [taylor]: Taking taylor expansion of 1.0 in n 3.945 * [taylor]: Taking taylor expansion of (log PI) in n 3.945 * [taylor]: Taking taylor expansion of PI in n 3.947 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.947 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.947 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.947 * [taylor]: Taking taylor expansion of 1.0 in n 3.947 * [taylor]: Taking taylor expansion of (log n) in n 3.947 * [taylor]: Taking taylor expansion of n in n 3.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.980 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.980 * [taylor]: Taking taylor expansion of +nan.0 in n 3.980 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.980 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.980 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.980 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.980 * [taylor]: Taking taylor expansion of -0.5 in n 3.980 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.980 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.980 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.980 * [taylor]: Taking taylor expansion of -2.0 in n 3.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.980 * [taylor]: Taking taylor expansion of PI in n 3.980 * [taylor]: Taking taylor expansion of n in n 3.981 * [taylor]: Taking taylor expansion of k in n 3.986 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.986 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.986 * [taylor]: Taking taylor expansion of 0.5 in n 3.986 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.986 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.986 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.986 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.986 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.986 * [taylor]: Taking taylor expansion of 1.0 in n 3.986 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.986 * [taylor]: Taking taylor expansion of -2.0 in n 3.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.988 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.988 * [taylor]: Taking taylor expansion of (log PI) in n 3.988 * [taylor]: Taking taylor expansion of PI in n 3.990 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.990 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.990 * [taylor]: Taking taylor expansion of 1.0 in n 3.990 * [taylor]: Taking taylor expansion of (log n) in n 3.990 * [taylor]: Taking taylor expansion of n in n 4.061 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 4.061 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.061 * [taylor]: Taking taylor expansion of +nan.0 in n 4.061 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.061 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.061 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.061 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.061 * [taylor]: Taking taylor expansion of -0.5 in n 4.061 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.062 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.062 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.062 * [taylor]: Taking taylor expansion of -2.0 in n 4.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.062 * [taylor]: Taking taylor expansion of PI in n 4.062 * [taylor]: Taking taylor expansion of n in n 4.063 * [taylor]: Taking taylor expansion of k in n 4.067 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.068 * [taylor]: Taking taylor expansion of 0.5 in n 4.068 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.068 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.068 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.068 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.068 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.068 * [taylor]: Taking taylor expansion of 1.0 in n 4.068 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.068 * [taylor]: Taking taylor expansion of -2.0 in n 4.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.070 * [taylor]: Taking taylor expansion of 1.0 in n 4.070 * [taylor]: Taking taylor expansion of (log PI) in n 4.070 * [taylor]: Taking taylor expansion of PI in n 4.071 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.071 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.071 * [taylor]: Taking taylor expansion of 1.0 in n 4.072 * [taylor]: Taking taylor expansion of (log n) in n 4.072 * [taylor]: Taking taylor expansion of n in n 4.100 * * * [progress]: simplifying candidates 4.104 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (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) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 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(* (/ 1.0 (sqrt k)) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) 1)) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 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(- (+ (* +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 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) 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(sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +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 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (- (* +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)))) (fma +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)) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))) 4.155 * * * [progress]: adding candidates to table 4.640 * * [progress]: iteration 4 / 4 4.640 * * * [progress]: picking best candidate 4.668 * * * * [pick]: Picked # 4.668 * * * [progress]: localizing error 4.689 * * * [progress]: generating rewritten candidates 4.689 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 4.706 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 4.714 * * * [progress]: generating series expansions 4.714 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.715 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in (n k) around 0 4.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in k 4.715 * [taylor]: Taking taylor expansion of 1.0 in k 4.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in k 4.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.715 * [taylor]: Taking taylor expansion of k in k 4.716 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in k 4.716 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.716 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.716 * [taylor]: Taking taylor expansion of 0.25 in k 4.716 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.716 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.716 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.716 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.716 * [taylor]: Taking taylor expansion of 1.0 in k 4.716 * [taylor]: Taking taylor expansion of (log PI) in k 4.716 * [taylor]: Taking taylor expansion of PI in k 4.718 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.718 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.718 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.718 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.718 * [taylor]: Taking taylor expansion of 1.0 in k 4.718 * [taylor]: Taking taylor expansion of (log n) in k 4.718 * [taylor]: Taking taylor expansion of n in k 4.719 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.719 * [taylor]: Taking taylor expansion of 1.0 in k 4.719 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.719 * [taylor]: Taking taylor expansion of 2.0 in k 4.724 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.724 * [taylor]: Taking taylor expansion of 1.0 in n 4.724 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.724 * [taylor]: Taking taylor expansion of k in n 4.724 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.724 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.724 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.724 * [taylor]: Taking taylor expansion of 0.25 in n 4.724 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.724 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.724 * [taylor]: Taking taylor expansion of 1.0 in n 4.724 * [taylor]: Taking taylor expansion of (log PI) in n 4.724 * [taylor]: Taking taylor expansion of PI in n 4.726 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.726 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.726 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.726 * [taylor]: Taking taylor expansion of 1.0 in n 4.726 * [taylor]: Taking taylor expansion of (log n) in n 4.726 * [taylor]: Taking taylor expansion of n in n 4.727 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.727 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.727 * [taylor]: Taking taylor expansion of 1.0 in n 4.727 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.727 * [taylor]: Taking taylor expansion of 2.0 in n 4.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.732 * [taylor]: Taking taylor expansion of k in n 4.732 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.732 * [taylor]: Taking taylor expansion of 0.25 in n 4.733 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.733 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.733 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.733 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.733 * [taylor]: Taking taylor expansion of 1.0 in n 4.733 * [taylor]: Taking taylor expansion of (log PI) in n 4.733 * [taylor]: Taking taylor expansion of PI in n 4.735 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.735 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.735 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.735 * [taylor]: Taking taylor expansion of 1.0 in n 4.735 * [taylor]: Taking taylor expansion of (log n) in n 4.735 * [taylor]: Taking taylor expansion of n in n 4.735 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.735 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.735 * [taylor]: Taking taylor expansion of 1.0 in n 4.735 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.735 * [taylor]: Taking taylor expansion of 2.0 in n 4.743 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in k 4.743 * [taylor]: Taking taylor expansion of 1.0 in k 4.743 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in k 4.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.743 * [taylor]: Taking taylor expansion of k in k 4.744 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in k 4.744 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.744 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.744 * [taylor]: Taking taylor expansion of 0.25 in k 4.744 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.744 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.744 * [taylor]: Taking taylor expansion of 1.0 in k 4.744 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.744 * [taylor]: Taking taylor expansion of 2.0 in k 4.746 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.746 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.746 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.746 * [taylor]: Taking taylor expansion of 1.0 in k 4.746 * [taylor]: Taking taylor expansion of (log n) in k 4.746 * [taylor]: Taking taylor expansion of n in k 4.746 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.746 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.746 * [taylor]: Taking taylor expansion of 1.0 in k 4.746 * [taylor]: Taking taylor expansion of (log PI) in k 4.746 * [taylor]: Taking taylor expansion of PI in k 4.770 * [taylor]: Taking taylor expansion of 0 in k 4.803 * [taylor]: Taking taylor expansion of 0 in k 4.857 * [taylor]: Taking taylor expansion of 0 in k 4.892 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 4.892 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 4.892 * [taylor]: Taking taylor expansion of 1.0 in k 4.892 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 4.892 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.892 * [taylor]: Taking taylor expansion of k in k 4.893 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 4.893 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.893 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.893 * [taylor]: Taking taylor expansion of 0.25 in k 4.893 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.893 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.893 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.893 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.893 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.893 * [taylor]: Taking taylor expansion of 1.0 in k 4.893 * [taylor]: Taking taylor expansion of (log PI) in k 4.893 * [taylor]: Taking taylor expansion of PI in k 4.895 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.895 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.895 * [taylor]: Taking taylor expansion of 1.0 in k 4.895 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.895 * [taylor]: Taking taylor expansion of 2.0 in k 4.897 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.897 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.897 * [taylor]: Taking taylor expansion of 1.0 in k 4.897 * [taylor]: Taking taylor expansion of (log n) in k 4.897 * [taylor]: Taking taylor expansion of n in k 4.904 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 4.904 * [taylor]: Taking taylor expansion of 1.0 in n 4.904 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 4.904 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.904 * [taylor]: Taking taylor expansion of k in n 4.904 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 4.905 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.905 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.905 * [taylor]: Taking taylor expansion of 0.25 in n 4.905 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.905 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.905 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.905 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.905 * [taylor]: Taking taylor expansion of 1.0 in n 4.905 * [taylor]: Taking taylor expansion of (log PI) in n 4.905 * [taylor]: Taking taylor expansion of PI in n 4.907 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.907 * [taylor]: Taking taylor expansion of 1.0 in n 4.907 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.907 * [taylor]: Taking taylor expansion of 2.0 in n 4.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.909 * [taylor]: Taking taylor expansion of 1.0 in n 4.909 * [taylor]: Taking taylor expansion of (log n) in n 4.909 * [taylor]: Taking taylor expansion of n in n 4.916 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 4.916 * [taylor]: Taking taylor expansion of 1.0 in n 4.916 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 4.916 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.916 * [taylor]: Taking taylor expansion of k in n 4.916 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 4.916 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.916 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.916 * [taylor]: Taking taylor expansion of 0.25 in n 4.916 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.916 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.916 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.916 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.916 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.916 * [taylor]: Taking taylor expansion of 1.0 in n 4.916 * [taylor]: Taking taylor expansion of (log PI) in n 4.916 * [taylor]: Taking taylor expansion of PI in n 4.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.918 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.918 * [taylor]: Taking taylor expansion of 1.0 in n 4.918 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.918 * [taylor]: Taking taylor expansion of 2.0 in n 4.920 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.920 * [taylor]: Taking taylor expansion of 1.0 in n 4.920 * [taylor]: Taking taylor expansion of (log n) in n 4.920 * [taylor]: Taking taylor expansion of n in n 4.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 4.930 * [taylor]: Taking taylor expansion of 1.0 in k 4.930 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 4.930 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.930 * [taylor]: Taking taylor expansion of k in k 4.936 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 4.937 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.937 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.937 * [taylor]: Taking taylor expansion of 0.25 in k 4.937 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.937 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.937 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.937 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.937 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.937 * [taylor]: Taking taylor expansion of 1.0 in k 4.937 * [taylor]: Taking taylor expansion of (log PI) in k 4.937 * [taylor]: Taking taylor expansion of PI in k 4.939 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.939 * [taylor]: Taking taylor expansion of 1.0 in k 4.939 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.939 * [taylor]: Taking taylor expansion of 2.0 in k 4.941 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.941 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.941 * [taylor]: Taking taylor expansion of 1.0 in k 4.941 * [taylor]: Taking taylor expansion of (log n) in k 4.941 * [taylor]: Taking taylor expansion of n in k 4.965 * [taylor]: Taking taylor expansion of 0 in k 5.005 * [taylor]: Taking taylor expansion of 0 in k 5.067 * [taylor]: Taking taylor expansion of 0 in k 5.113 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 5.113 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.113 * [taylor]: Taking taylor expansion of 1.0 in k 5.113 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.113 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.113 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.113 * [taylor]: Taking taylor expansion of -1 in k 5.113 * [taylor]: Taking taylor expansion of k in k 5.115 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.115 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.115 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.115 * [taylor]: Taking taylor expansion of 0.25 in k 5.115 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.115 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.115 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.115 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.115 * [taylor]: Taking taylor expansion of 1.0 in k 5.115 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.115 * [taylor]: Taking taylor expansion of -2.0 in k 5.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.117 * [taylor]: Taking taylor expansion of 1.0 in k 5.117 * [taylor]: Taking taylor expansion of (log PI) in k 5.117 * [taylor]: Taking taylor expansion of PI in k 5.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.119 * [taylor]: Taking taylor expansion of 1.0 in k 5.119 * [taylor]: Taking taylor expansion of (log n) in k 5.119 * [taylor]: Taking taylor expansion of n in k 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.126 * [taylor]: Taking taylor expansion of 1.0 in n 5.126 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.126 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.126 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.126 * [taylor]: Taking taylor expansion of -1 in n 5.126 * [taylor]: Taking taylor expansion of k in n 5.126 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.126 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.126 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.126 * [taylor]: Taking taylor expansion of 0.25 in n 5.126 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.126 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.126 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.126 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.126 * [taylor]: Taking taylor expansion of 1.0 in n 5.126 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.126 * [taylor]: Taking taylor expansion of -2.0 in n 5.128 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.128 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.128 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.128 * [taylor]: Taking taylor expansion of 1.0 in n 5.128 * [taylor]: Taking taylor expansion of (log PI) in n 5.128 * [taylor]: Taking taylor expansion of PI in n 5.130 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.130 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.130 * [taylor]: Taking taylor expansion of 1.0 in n 5.130 * [taylor]: Taking taylor expansion of (log n) in n 5.130 * [taylor]: Taking taylor expansion of n in n 5.137 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.137 * [taylor]: Taking taylor expansion of 1.0 in n 5.137 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.137 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.138 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.138 * [taylor]: Taking taylor expansion of -1 in n 5.138 * [taylor]: Taking taylor expansion of k in n 5.138 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.138 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.138 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.138 * [taylor]: Taking taylor expansion of 0.25 in n 5.138 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.138 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.138 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.138 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.138 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.138 * [taylor]: Taking taylor expansion of 1.0 in n 5.138 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.138 * [taylor]: Taking taylor expansion of -2.0 in n 5.140 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.140 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.140 * [taylor]: Taking taylor expansion of 1.0 in n 5.140 * [taylor]: Taking taylor expansion of (log PI) in n 5.140 * [taylor]: Taking taylor expansion of PI in n 5.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.142 * [taylor]: Taking taylor expansion of 1.0 in n 5.142 * [taylor]: Taking taylor expansion of (log n) in n 5.142 * [taylor]: Taking taylor expansion of n in n 5.152 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.152 * [taylor]: Taking taylor expansion of 1.0 in k 5.152 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.152 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.152 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.152 * [taylor]: Taking taylor expansion of -1 in k 5.152 * [taylor]: Taking taylor expansion of k in k 5.153 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.153 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.154 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.154 * [taylor]: Taking taylor expansion of 0.25 in k 5.154 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.154 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.154 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.154 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.154 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.154 * [taylor]: Taking taylor expansion of 1.0 in k 5.154 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.154 * [taylor]: Taking taylor expansion of -2.0 in k 5.155 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.155 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.156 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.156 * [taylor]: Taking taylor expansion of 1.0 in k 5.156 * [taylor]: Taking taylor expansion of (log PI) in k 5.156 * [taylor]: Taking taylor expansion of PI in k 5.157 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.157 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.157 * [taylor]: Taking taylor expansion of 1.0 in k 5.157 * [taylor]: Taking taylor expansion of (log n) in k 5.157 * [taylor]: Taking taylor expansion of n in k 5.183 * [taylor]: Taking taylor expansion of 0 in k 5.235 * [taylor]: Taking taylor expansion of 0 in k 5.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.270 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.270 * [taylor]: Taking taylor expansion of 2.0 in n 5.270 * [taylor]: Taking taylor expansion of (* n PI) in n 5.270 * [taylor]: Taking taylor expansion of n in n 5.271 * [taylor]: Taking taylor expansion of PI in n 5.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.271 * [taylor]: Taking taylor expansion of 2.0 in n 5.271 * [taylor]: Taking taylor expansion of (* n PI) in n 5.271 * [taylor]: Taking taylor expansion of n in n 5.271 * [taylor]: Taking taylor expansion of PI in n 5.283 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.283 * [taylor]: Taking taylor expansion of 2.0 in n 5.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.283 * [taylor]: Taking taylor expansion of PI in n 5.283 * [taylor]: Taking taylor expansion of n in n 5.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.283 * [taylor]: Taking taylor expansion of 2.0 in n 5.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.283 * [taylor]: Taking taylor expansion of PI in n 5.284 * [taylor]: Taking taylor expansion of n in n 5.299 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.299 * [taylor]: Taking taylor expansion of -2.0 in n 5.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.299 * [taylor]: Taking taylor expansion of PI in n 5.299 * [taylor]: Taking taylor expansion of n in n 5.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.300 * [taylor]: Taking taylor expansion of -2.0 in n 5.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.300 * [taylor]: Taking taylor expansion of PI in n 5.300 * [taylor]: Taking taylor expansion of n in n 5.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.309 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.309 * [taylor]: Taking taylor expansion of 2.0 in n 5.309 * [taylor]: Taking taylor expansion of (* n PI) in n 5.309 * [taylor]: Taking taylor expansion of n in n 5.309 * [taylor]: Taking taylor expansion of PI in n 5.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.309 * [taylor]: Taking taylor expansion of 2.0 in n 5.309 * [taylor]: Taking taylor expansion of (* n PI) in n 5.309 * [taylor]: Taking taylor expansion of n in n 5.309 * [taylor]: Taking taylor expansion of PI in n 5.321 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.321 * [taylor]: Taking taylor expansion of 2.0 in n 5.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.321 * [taylor]: Taking taylor expansion of PI in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.322 * [taylor]: Taking taylor expansion of 2.0 in n 5.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.322 * [taylor]: Taking taylor expansion of PI in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.331 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.331 * [taylor]: Taking taylor expansion of -2.0 in n 5.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.331 * [taylor]: Taking taylor expansion of PI in n 5.331 * [taylor]: Taking taylor expansion of n in n 5.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.331 * [taylor]: Taking taylor expansion of -2.0 in n 5.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.331 * [taylor]: Taking taylor expansion of PI in n 5.331 * [taylor]: Taking taylor expansion of n in n 5.340 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 5.340 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.340 * [taylor]: Taking taylor expansion of 2.0 in n 5.340 * [taylor]: Taking taylor expansion of (* n PI) in n 5.340 * [taylor]: Taking taylor expansion of n in n 5.340 * [taylor]: Taking taylor expansion of PI in n 5.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.340 * [taylor]: Taking taylor expansion of 2.0 in n 5.341 * [taylor]: Taking taylor expansion of (* n PI) in n 5.341 * [taylor]: Taking taylor expansion of n in n 5.341 * [taylor]: Taking taylor expansion of PI in n 5.353 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.354 * [taylor]: Taking taylor expansion of 2.0 in n 5.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.354 * [taylor]: Taking taylor expansion of PI in n 5.354 * [taylor]: Taking taylor expansion of n in n 5.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.354 * [taylor]: Taking taylor expansion of 2.0 in n 5.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.354 * [taylor]: Taking taylor expansion of PI in n 5.354 * [taylor]: Taking taylor expansion of n in n 5.364 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.364 * [taylor]: Taking taylor expansion of -2.0 in n 5.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.364 * [taylor]: Taking taylor expansion of PI in n 5.364 * [taylor]: Taking taylor expansion of n in n 5.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.364 * [taylor]: Taking taylor expansion of -2.0 in n 5.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.365 * [taylor]: Taking taylor expansion of PI in n 5.365 * [taylor]: Taking taylor expansion of n in n 5.380 * * * [progress]: simplifying candidates 5.381 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log1p (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (+ (log 1.0) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (- (log (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (sqrt (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))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (* (* (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt 1)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (- (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 k)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.387 * * [simplify]: iteration 0 : 409 enodes (cost 636 ) 5.395 * * [simplify]: iteration 1 : 1841 enodes (cost 537 ) 5.429 * * [simplify]: iteration 2 : 5002 enodes (cost 522 ) 5.433 * [simplify]: Simplified to: (expm1 (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log1p (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 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 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (+ (- +nan.0) (- (* +nan.0 k) (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (pow k 2)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (pow k 2)) (* +nan.0 (+ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) k)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.433 * * * [progress]: adding candidates to table 5.700 * [progress]: [Phase 3 of 3] Extracting. 5.701 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.704 * * * [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) 5.704 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.747 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.795 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.838 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.881 * * * [regime]: Found split indices: #