12.654 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.137 * * * [progress]: [2/2] Setting up program. 0.140 * [progress]: [Phase 2 of 3] Improving. 0.140 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.143 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.144 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.146 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.148 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.154 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.178 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.178 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.178 * * [progress]: iteration 1 / 4 0.178 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.181 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.204 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.237 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.239 * [taylor]: Taking taylor expansion of 1.0 in k 0.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.240 * [taylor]: Taking taylor expansion of k in k 0.251 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.251 * [taylor]: Taking taylor expansion of 1.0 in k 0.251 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.251 * [taylor]: Taking taylor expansion of k in k 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.252 * [taylor]: Taking taylor expansion of 1.0 in k 0.252 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.252 * [taylor]: Taking taylor expansion of k in k 0.262 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.262 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.262 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.262 * [taylor]: Taking taylor expansion of -1 in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.264 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.264 * [taylor]: Taking taylor expansion of 1.0 in k 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.264 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.264 * [taylor]: Taking taylor expansion of -1 in k 0.264 * [taylor]: Taking taylor expansion of k in k 0.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.282 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.282 * [taylor]: Taking taylor expansion of 0.5 in k 0.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.282 * [taylor]: Taking taylor expansion of 2.0 in k 0.282 * [taylor]: Taking taylor expansion of (* n PI) in k 0.282 * [taylor]: Taking taylor expansion of n in k 0.282 * [taylor]: Taking taylor expansion of PI in k 0.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.283 * [taylor]: Taking taylor expansion of 0.5 in n 0.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.283 * [taylor]: Taking taylor expansion of 1.0 in n 0.283 * [taylor]: Taking taylor expansion of k in n 0.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.284 * [taylor]: Taking taylor expansion of 2.0 in n 0.284 * [taylor]: Taking taylor expansion of (* n PI) in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.284 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.295 * [taylor]: Taking taylor expansion of 0.5 in k 0.295 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.295 * [taylor]: Taking taylor expansion of 1.0 in k 0.295 * [taylor]: Taking taylor expansion of k in k 0.295 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.295 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.295 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.295 * [taylor]: Taking taylor expansion of 2.0 in k 0.295 * [taylor]: Taking taylor expansion of PI in k 0.296 * [taylor]: Taking taylor expansion of (log n) in k 0.296 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.342 * [taylor]: Taking taylor expansion of 0.5 in k 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.342 * [taylor]: Taking taylor expansion of 2.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.342 * [taylor]: Taking taylor expansion of PI in k 0.342 * [taylor]: Taking taylor expansion of n in k 0.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.343 * [taylor]: Taking taylor expansion of 0.5 in n 0.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.347 * [taylor]: Taking taylor expansion of 0.5 in n 0.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.348 * [taylor]: Taking taylor expansion of k in n 0.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.351 * [taylor]: Taking taylor expansion of 0.5 in k 0.351 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.351 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.352 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.352 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.352 * [taylor]: Taking taylor expansion of 2.0 in k 0.352 * [taylor]: Taking taylor expansion of PI in k 0.353 * [taylor]: Taking taylor expansion of (log n) in k 0.353 * [taylor]: Taking taylor expansion of n in k 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.376 * [taylor]: Taking taylor expansion of 0 in k 0.385 * [taylor]: Taking taylor expansion of 0 in k 0.387 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.387 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.387 * [taylor]: Taking taylor expansion of 0.5 in k 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.387 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.387 * [taylor]: Taking taylor expansion of -2.0 in k 0.387 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.387 * [taylor]: Taking taylor expansion of PI in k 0.387 * [taylor]: Taking taylor expansion of n in k 0.388 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.388 * [taylor]: Taking taylor expansion of 0.5 in n 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.388 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.388 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.388 * [taylor]: Taking taylor expansion of -2.0 in n 0.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.392 * [taylor]: Taking taylor expansion of 0.5 in n 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.392 * [taylor]: Taking taylor expansion of k in n 0.392 * [taylor]: Taking taylor expansion of 1.0 in n 0.392 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.392 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.392 * [taylor]: Taking taylor expansion of -2.0 in n 0.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.392 * [taylor]: Taking taylor expansion of PI in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.396 * [taylor]: Taking taylor expansion of 0.5 in k 0.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.397 * [taylor]: Taking taylor expansion of 1.0 in k 0.397 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.397 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.397 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.397 * [taylor]: Taking taylor expansion of -2.0 in k 0.397 * [taylor]: Taking taylor expansion of PI in k 0.398 * [taylor]: Taking taylor expansion of (log n) in k 0.398 * [taylor]: Taking taylor expansion of n in k 0.406 * [taylor]: Taking taylor expansion of 0 in k 0.413 * [taylor]: Taking taylor expansion of 0 in k 0.422 * [taylor]: Taking taylor expansion of 0 in k 0.423 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.424 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.424 * [taylor]: Taking taylor expansion of (* n PI) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of PI in n 0.424 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.424 * [taylor]: Taking taylor expansion of (* n PI) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of PI in n 0.436 * [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 0.437 * [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 0.446 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.446 * [taylor]: Taking taylor expansion of -2.0 in n 0.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.447 * [taylor]: Taking taylor expansion of -2.0 in n 0.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.447 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.462 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.462 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.462 * [taylor]: Taking taylor expansion of 1.0 in n 0.462 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.462 * [taylor]: Taking taylor expansion of k in n 0.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.463 * [taylor]: Taking taylor expansion of 0.5 in n 0.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.463 * [taylor]: Taking taylor expansion of 1.0 in n 0.463 * [taylor]: Taking taylor expansion of k in n 0.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.463 * [taylor]: Taking taylor expansion of 2.0 in n 0.463 * [taylor]: Taking taylor expansion of (* n PI) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.463 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.470 * [taylor]: Taking taylor expansion of 0.5 in k 0.470 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.470 * [taylor]: Taking taylor expansion of 2.0 in k 0.470 * [taylor]: Taking taylor expansion of (* n PI) in k 0.470 * [taylor]: Taking taylor expansion of n in k 0.470 * [taylor]: Taking taylor expansion of PI in k 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.471 * [taylor]: Taking taylor expansion of 1.0 in k 0.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.471 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.472 * [taylor]: Taking taylor expansion of 0.5 in k 0.472 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.472 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.473 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.473 * [taylor]: Taking taylor expansion of 2.0 in k 0.473 * [taylor]: Taking taylor expansion of (* n PI) in k 0.473 * [taylor]: Taking taylor expansion of n in k 0.473 * [taylor]: Taking taylor expansion of PI in k 0.474 * [taylor]: Taking taylor expansion of 0 in n 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.479 * [taylor]: Taking taylor expansion of +nan.0 in n 0.479 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.480 * [taylor]: Taking taylor expansion of 0.5 in n 0.480 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.480 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.480 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.480 * [taylor]: Taking taylor expansion of 1.0 in n 0.480 * [taylor]: Taking taylor expansion of (log PI) in n 0.480 * [taylor]: Taking taylor expansion of PI in n 0.482 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.482 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (log n) in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.502 * [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 0.502 * [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 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of +nan.0 in n 0.502 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log PI) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log n) in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.505 * [taylor]: Taking taylor expansion of 2.0 in n 0.511 * [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 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log PI) in n 0.513 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log n) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.520 * [taylor]: Taking taylor expansion of (* n PI) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of PI in n 0.576 * [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 0.576 * [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 0.576 * [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 0.576 * [taylor]: Taking taylor expansion of +nan.0 in n 0.576 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.576 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.576 * [taylor]: Taking taylor expansion of 0.5 in n 0.576 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.576 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.576 * [taylor]: Taking taylor expansion of 2.0 in n 0.578 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log PI) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.584 * [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 0.584 * [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 0.584 * [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 0.584 * [taylor]: Taking taylor expansion of +nan.0 in n 0.584 * [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 0.584 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.584 * [taylor]: Taking taylor expansion of 0.5 in n 0.584 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.584 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.584 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.586 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.586 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (log PI) in n 0.586 * [taylor]: Taking taylor expansion of PI in n 0.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.588 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [taylor]: Taking taylor expansion of (log n) in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.593 * [taylor]: Taking taylor expansion of 2.0 in n 0.593 * [taylor]: Taking taylor expansion of (* n PI) in n 0.593 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of PI in n 0.596 * [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 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of +nan.0 in n 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI 1.0) (pow n 1.0)))) in n 0.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI 1.0) (pow n 1.0)) 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 0.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log n) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [taylor]: Taking taylor expansion of (* n PI) in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.684 * [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 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.684 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.688 * [taylor]: Taking taylor expansion of 1.0 in k 0.688 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.688 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.688 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.689 * [taylor]: Taking taylor expansion of 0.5 in k 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.689 * [taylor]: Taking taylor expansion of 1.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.689 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.689 * [taylor]: Taking taylor expansion of 2.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [taylor]: Taking taylor expansion of n in k 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.691 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.692 * [taylor]: Taking taylor expansion of 0.5 in k 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.692 * [taylor]: Taking taylor expansion of 2.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.692 * [taylor]: Taking taylor expansion of PI in k 0.692 * [taylor]: Taking taylor expansion of n in k 0.694 * [taylor]: Taking taylor expansion of 0 in n 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.694 * [taylor]: Taking taylor expansion of 0.5 in n 0.695 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of 2.0 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.705 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.705 * [taylor]: Taking taylor expansion of +nan.0 in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.705 * [taylor]: Taking taylor expansion of 0.5 in n 0.705 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.705 * [taylor]: Taking taylor expansion of 2.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.705 * [taylor]: Taking taylor expansion of PI in n 0.705 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.723 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.723 * [taylor]: Taking taylor expansion of +nan.0 in n 0.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.723 * [taylor]: Taking taylor expansion of 0.5 in n 0.723 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.723 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.723 * [taylor]: Taking taylor expansion of 2.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.723 * [taylor]: Taking taylor expansion of PI in n 0.723 * [taylor]: Taking taylor expansion of n in n 0.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.724 * [taylor]: Taking taylor expansion of k in n 0.738 * [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 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.739 * [taylor]: Taking taylor expansion of 1.0 in n 0.739 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.739 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.739 * [taylor]: Taking taylor expansion of 0.5 in n 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.739 * [taylor]: Taking taylor expansion of k in n 0.739 * [taylor]: Taking taylor expansion of 1.0 in n 0.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.739 * [taylor]: Taking taylor expansion of -2.0 in n 0.739 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.739 * [taylor]: Taking taylor expansion of PI in n 0.739 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.743 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.743 * [taylor]: Taking taylor expansion of -1 in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.744 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.744 * [taylor]: Taking taylor expansion of 1.0 in k 0.744 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.744 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.744 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.744 * [taylor]: Taking taylor expansion of 0.5 in k 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.744 * [taylor]: Taking taylor expansion of k in k 0.744 * [taylor]: Taking taylor expansion of 1.0 in k 0.744 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.744 * [taylor]: Taking taylor expansion of -2.0 in k 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.744 * [taylor]: Taking taylor expansion of PI in k 0.744 * [taylor]: Taking taylor expansion of n in k 0.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.745 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.745 * [taylor]: Taking taylor expansion of -1 in k 0.745 * [taylor]: Taking taylor expansion of k in k 0.746 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.746 * [taylor]: Taking taylor expansion of 1.0 in k 0.746 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.746 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.747 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.747 * [taylor]: Taking taylor expansion of 0.5 in k 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.747 * [taylor]: Taking taylor expansion of 1.0 in k 0.747 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.747 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.747 * [taylor]: Taking taylor expansion of -2.0 in k 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.747 * [taylor]: Taking taylor expansion of PI in k 0.747 * [taylor]: Taking taylor expansion of n in k 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.748 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.748 * [taylor]: Taking taylor expansion of -1 in k 0.748 * [taylor]: Taking taylor expansion of k in k 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.749 * [taylor]: Taking taylor expansion of +nan.0 in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.750 * [taylor]: Taking taylor expansion of 0.5 in n 0.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.750 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.750 * [taylor]: Taking taylor expansion of k in n 0.750 * [taylor]: Taking taylor expansion of 1.0 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 0.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.759 * [taylor]: Taking taylor expansion of +nan.0 in n 0.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.759 * [taylor]: Taking taylor expansion of 0.5 in n 0.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.759 * [taylor]: Taking taylor expansion of k in n 0.759 * [taylor]: Taking taylor expansion of 1.0 in n 0.759 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.759 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.759 * [taylor]: Taking taylor expansion of -2.0 in n 0.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.759 * [taylor]: Taking taylor expansion of PI in n 0.759 * [taylor]: Taking taylor expansion of n in n 0.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.779 * [taylor]: Taking taylor expansion of +nan.0 in n 0.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.779 * [taylor]: Taking taylor expansion of 0.5 in n 0.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.779 * [taylor]: Taking taylor expansion of k in n 0.779 * [taylor]: Taking taylor expansion of 1.0 in n 0.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of -2.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.789 * * * [progress]: simplifying candidates 0.792 * [simplify]: Simplifying using # : (- (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) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 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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))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.894 * * * [progress]: adding candidates to table 1.262 * * [progress]: iteration 2 / 4 1.262 * * * [progress]: picking best candidate 1.295 * * * * [pick]: Picked # 1.295 * * * [progress]: localizing error 1.314 * * * [progress]: generating rewritten candidates 1.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.320 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.325 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.336 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.349 * * * [progress]: generating series expansions 1.349 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.350 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.350 * [taylor]: Taking taylor expansion of 2.0 in n 1.350 * [taylor]: Taking taylor expansion of (* n PI) in n 1.350 * [taylor]: Taking taylor expansion of n in n 1.350 * [taylor]: Taking taylor expansion of PI in n 1.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.350 * [taylor]: Taking taylor expansion of 2.0 in n 1.350 * [taylor]: Taking taylor expansion of (* n PI) in n 1.350 * [taylor]: Taking taylor expansion of n in n 1.350 * [taylor]: Taking taylor expansion of PI in n 1.363 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.363 * [taylor]: Taking taylor expansion of 2.0 in n 1.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.363 * [taylor]: Taking taylor expansion of PI in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.363 * [taylor]: Taking taylor expansion of 2.0 in n 1.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.363 * [taylor]: Taking taylor expansion of PI in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.373 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.373 * [taylor]: Taking taylor expansion of -2.0 in n 1.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.373 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of n in n 1.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.373 * [taylor]: Taking taylor expansion of -2.0 in n 1.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.373 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of n in n 1.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.388 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.401 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.401 * [taylor]: Taking taylor expansion of 2.0 in n 1.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.401 * [taylor]: Taking taylor expansion of PI in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.401 * [taylor]: Taking taylor expansion of 2.0 in n 1.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.401 * [taylor]: Taking taylor expansion of PI in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.410 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.410 * [taylor]: Taking taylor expansion of -2.0 in n 1.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of -2.0 in n 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.420 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.421 * [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 1.421 * [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 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.421 * [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 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.421 * [taylor]: Taking taylor expansion of k in k 1.422 * [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 1.422 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.423 * [taylor]: Taking taylor expansion of 0.5 in k 1.423 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.423 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.423 * [taylor]: Taking taylor expansion of 1.0 in k 1.423 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.423 * [taylor]: Taking taylor expansion of 2.0 in k 1.424 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (log n) in k 1.425 * [taylor]: Taking taylor expansion of n in k 1.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (log PI) in k 1.425 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.430 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.430 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.430 * [taylor]: Taking taylor expansion of 0.5 in k 1.430 * [taylor]: Taking taylor expansion of k in k 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.430 * [taylor]: Taking taylor expansion of 2.0 in k 1.430 * [taylor]: Taking taylor expansion of (* n PI) in k 1.431 * [taylor]: Taking taylor expansion of n in k 1.431 * [taylor]: Taking taylor expansion of PI in k 1.433 * [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 1.433 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [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 1.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.434 * [taylor]: Taking taylor expansion of k in n 1.434 * [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 1.434 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.434 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.434 * [taylor]: Taking taylor expansion of 0.5 in n 1.434 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.434 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.434 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.434 * [taylor]: Taking taylor expansion of 2.0 in n 1.436 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log n) in n 1.436 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log PI) in n 1.436 * [taylor]: Taking taylor expansion of PI in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.442 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.442 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.442 * [taylor]: Taking taylor expansion of 0.5 in n 1.442 * [taylor]: Taking taylor expansion of k in n 1.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.442 * [taylor]: Taking taylor expansion of 2.0 in n 1.442 * [taylor]: Taking taylor expansion of (* n PI) in n 1.442 * [taylor]: Taking taylor expansion of n in n 1.442 * [taylor]: Taking taylor expansion of PI in n 1.448 * [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 1.449 * [taylor]: Taking taylor expansion of 1.0 in n 1.449 * [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 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.449 * [taylor]: Taking taylor expansion of k in n 1.449 * [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 1.449 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.449 * [taylor]: Taking taylor expansion of 0.5 in n 1.449 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.449 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.449 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.449 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.449 * [taylor]: Taking taylor expansion of 1.0 in n 1.449 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.449 * [taylor]: Taking taylor expansion of 2.0 in n 1.451 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.451 * [taylor]: Taking taylor expansion of 1.0 in n 1.451 * [taylor]: Taking taylor expansion of (log n) in n 1.451 * [taylor]: Taking taylor expansion of n in n 1.451 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.451 * [taylor]: Taking taylor expansion of 1.0 in n 1.451 * [taylor]: Taking taylor expansion of (log PI) in n 1.452 * [taylor]: Taking taylor expansion of PI in n 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.457 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.457 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.457 * [taylor]: Taking taylor expansion of 0.5 in n 1.457 * [taylor]: Taking taylor expansion of k in n 1.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.457 * [taylor]: Taking taylor expansion of 2.0 in n 1.457 * [taylor]: Taking taylor expansion of (* n PI) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.457 * [taylor]: Taking taylor expansion of PI in n 1.474 * [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 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [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 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.474 * [taylor]: Taking taylor expansion of k in k 1.476 * [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 1.476 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.476 * [taylor]: Taking taylor expansion of 0.5 in k 1.476 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.476 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (log PI) in k 1.476 * [taylor]: Taking taylor expansion of PI in k 1.478 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.478 * [taylor]: Taking taylor expansion of 1.0 in k 1.478 * [taylor]: Taking taylor expansion of (log n) in k 1.478 * [taylor]: Taking taylor expansion of n in k 1.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.478 * [taylor]: Taking taylor expansion of 1.0 in k 1.478 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.478 * [taylor]: Taking taylor expansion of 2.0 in k 1.484 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.484 * [taylor]: Taking taylor expansion of 0.5 in k 1.484 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.484 * [taylor]: Taking taylor expansion of k in k 1.484 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.484 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.484 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.484 * [taylor]: Taking taylor expansion of 2.0 in k 1.484 * [taylor]: Taking taylor expansion of PI in k 1.485 * [taylor]: Taking taylor expansion of (log n) in k 1.485 * [taylor]: Taking taylor expansion of n in k 1.516 * [taylor]: Taking taylor expansion of 0 in k 1.575 * [taylor]: Taking taylor expansion of 0 in k 1.677 * [taylor]: Taking taylor expansion of 0 in k 1.796 * [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 1.796 * [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 1.796 * [taylor]: Taking taylor expansion of 1.0 in k 1.796 * [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 1.796 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.796 * [taylor]: Taking taylor expansion of k in k 1.797 * [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 1.797 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.797 * [taylor]: Taking taylor expansion of 0.5 in k 1.797 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.797 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.797 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.797 * [taylor]: Taking taylor expansion of 1.0 in k 1.797 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.797 * [taylor]: Taking taylor expansion of 2.0 in k 1.799 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.799 * [taylor]: Taking taylor expansion of 1.0 in k 1.799 * [taylor]: Taking taylor expansion of (log PI) in k 1.799 * [taylor]: Taking taylor expansion of PI in k 1.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.801 * [taylor]: Taking taylor expansion of 1.0 in k 1.801 * [taylor]: Taking taylor expansion of (log n) in k 1.801 * [taylor]: Taking taylor expansion of n in k 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.808 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.808 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.808 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.808 * [taylor]: Taking taylor expansion of 0.5 in k 1.809 * [taylor]: Taking taylor expansion of k in k 1.809 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.809 * [taylor]: Taking taylor expansion of 2.0 in k 1.809 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.809 * [taylor]: Taking taylor expansion of PI in k 1.809 * [taylor]: Taking taylor expansion of n in k 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of 1.0 in n 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.809 * [taylor]: Taking taylor expansion of k in n 1.809 * [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 1.809 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.809 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.810 * [taylor]: Taking taylor expansion of 0.5 in n 1.810 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.810 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.810 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.810 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.810 * [taylor]: Taking taylor expansion of 1.0 in n 1.810 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.810 * [taylor]: Taking taylor expansion of 2.0 in n 1.811 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.812 * [taylor]: Taking taylor expansion of 1.0 in n 1.812 * [taylor]: Taking taylor expansion of (log PI) in n 1.812 * [taylor]: Taking taylor expansion of PI in n 1.813 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.813 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.813 * [taylor]: Taking taylor expansion of 1.0 in n 1.813 * [taylor]: Taking taylor expansion of (log n) in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.821 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.821 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.821 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.821 * [taylor]: Taking taylor expansion of 0.5 in n 1.821 * [taylor]: Taking taylor expansion of k in n 1.821 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.821 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.821 * [taylor]: Taking taylor expansion of 2.0 in n 1.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.821 * [taylor]: Taking taylor expansion of PI in n 1.821 * [taylor]: Taking taylor expansion of n in n 1.825 * [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 1.825 * [taylor]: Taking taylor expansion of 1.0 in n 1.825 * [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 1.825 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.825 * [taylor]: Taking taylor expansion of k in n 1.825 * [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 1.825 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.825 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.825 * [taylor]: Taking taylor expansion of 0.5 in n 1.825 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.825 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.825 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.825 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.825 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.825 * [taylor]: Taking taylor expansion of 1.0 in n 1.825 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.825 * [taylor]: Taking taylor expansion of 2.0 in n 1.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log PI) in n 1.833 * [taylor]: Taking taylor expansion of PI in n 1.835 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.835 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.835 * [taylor]: Taking taylor expansion of 1.0 in n 1.835 * [taylor]: Taking taylor expansion of (log n) in n 1.835 * [taylor]: Taking taylor expansion of n in n 1.842 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.842 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.842 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.842 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.842 * [taylor]: Taking taylor expansion of 0.5 in n 1.842 * [taylor]: Taking taylor expansion of k in n 1.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.843 * [taylor]: Taking taylor expansion of 2.0 in n 1.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.853 * [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 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [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 1.853 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.855 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.855 * [taylor]: Taking taylor expansion of 0.5 in k 1.855 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.855 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.855 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.855 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.855 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.855 * [taylor]: Taking taylor expansion of 1.0 in k 1.855 * [taylor]: Taking taylor expansion of (log PI) in k 1.855 * [taylor]: Taking taylor expansion of PI in k 1.857 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.857 * [taylor]: Taking taylor expansion of 1.0 in k 1.857 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.857 * [taylor]: Taking taylor expansion of 2.0 in k 1.859 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.859 * [taylor]: Taking taylor expansion of (log n) in k 1.859 * [taylor]: Taking taylor expansion of n in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.866 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.867 * [taylor]: Taking taylor expansion of (log n) in k 1.867 * [taylor]: Taking taylor expansion of n in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.901 * [taylor]: Taking taylor expansion of 0 in k 1.965 * [taylor]: Taking taylor expansion of 0 in k 2.050 * [taylor]: Taking taylor expansion of 0 in k 2.110 * [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 2.110 * [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 2.110 * [taylor]: Taking taylor expansion of 1.0 in k 2.110 * [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 2.110 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.110 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.111 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.111 * [taylor]: Taking taylor expansion of -1 in k 2.111 * [taylor]: Taking taylor expansion of k in k 2.112 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.112 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.112 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.112 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.112 * [taylor]: Taking taylor expansion of -0.5 in k 2.112 * [taylor]: Taking taylor expansion of k in k 2.112 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.112 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.112 * [taylor]: Taking taylor expansion of -2.0 in k 2.112 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.112 * [taylor]: Taking taylor expansion of PI in k 2.112 * [taylor]: Taking taylor expansion of n in k 2.113 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.113 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.113 * [taylor]: Taking taylor expansion of 0.5 in k 2.113 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.113 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.113 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.113 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.113 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.113 * [taylor]: Taking taylor expansion of 1.0 in k 2.113 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.113 * [taylor]: Taking taylor expansion of -2.0 in k 2.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.115 * [taylor]: Taking taylor expansion of 1.0 in k 2.115 * [taylor]: Taking taylor expansion of (log PI) in k 2.115 * [taylor]: Taking taylor expansion of PI in k 2.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.117 * [taylor]: Taking taylor expansion of (log n) in k 2.117 * [taylor]: Taking taylor expansion of n in k 2.124 * [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 2.124 * [taylor]: Taking taylor expansion of 1.0 in n 2.124 * [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 2.124 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.124 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.124 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.124 * [taylor]: Taking taylor expansion of -1 in n 2.124 * [taylor]: Taking taylor expansion of k in n 2.124 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.124 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.124 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.124 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.124 * [taylor]: Taking taylor expansion of -0.5 in n 2.124 * [taylor]: Taking taylor expansion of k in n 2.124 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.124 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.124 * [taylor]: Taking taylor expansion of -2.0 in n 2.124 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.124 * [taylor]: Taking taylor expansion of PI in n 2.124 * [taylor]: Taking taylor expansion of n in n 2.129 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.129 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.129 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.129 * [taylor]: Taking taylor expansion of 0.5 in n 2.129 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.129 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.129 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.129 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.129 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.129 * [taylor]: Taking taylor expansion of 1.0 in n 2.129 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.129 * [taylor]: Taking taylor expansion of -2.0 in n 2.131 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.131 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.131 * [taylor]: Taking taylor expansion of 1.0 in n 2.131 * [taylor]: Taking taylor expansion of (log PI) in n 2.131 * [taylor]: Taking taylor expansion of PI in n 2.133 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.133 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.133 * [taylor]: Taking taylor expansion of 1.0 in n 2.133 * [taylor]: Taking taylor expansion of (log n) in n 2.133 * [taylor]: Taking taylor expansion of n in n 2.140 * [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 2.140 * [taylor]: Taking taylor expansion of 1.0 in n 2.140 * [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 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.140 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.140 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.140 * [taylor]: Taking taylor expansion of -1 in n 2.140 * [taylor]: Taking taylor expansion of k in n 2.140 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.140 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.140 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.140 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.140 * [taylor]: Taking taylor expansion of -0.5 in n 2.140 * [taylor]: Taking taylor expansion of k in n 2.141 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.141 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.141 * [taylor]: Taking taylor expansion of -2.0 in n 2.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.141 * [taylor]: Taking taylor expansion of PI in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.146 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.146 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.146 * [taylor]: Taking taylor expansion of 0.5 in n 2.146 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.146 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.146 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.146 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.146 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.146 * [taylor]: Taking taylor expansion of -2.0 in n 2.148 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.148 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.148 * [taylor]: Taking taylor expansion of 1.0 in n 2.148 * [taylor]: Taking taylor expansion of (log PI) in n 2.148 * [taylor]: Taking taylor expansion of PI in n 2.149 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.150 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.150 * [taylor]: Taking taylor expansion of 1.0 in n 2.150 * [taylor]: Taking taylor expansion of (log n) in n 2.150 * [taylor]: Taking taylor expansion of n in n 2.161 * [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 2.161 * [taylor]: Taking taylor expansion of 1.0 in k 2.161 * [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 2.161 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.161 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.161 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.161 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.161 * [taylor]: Taking taylor expansion of -0.5 in k 2.161 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.161 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.161 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.161 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.161 * [taylor]: Taking taylor expansion of -2.0 in k 2.161 * [taylor]: Taking taylor expansion of PI in k 2.162 * [taylor]: Taking taylor expansion of (log n) in k 2.162 * [taylor]: Taking taylor expansion of n in k 2.162 * [taylor]: Taking taylor expansion of k in k 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.165 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.165 * [taylor]: Taking taylor expansion of -1 in k 2.165 * [taylor]: Taking taylor expansion of k in k 2.169 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.169 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.169 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.169 * [taylor]: Taking taylor expansion of 0.5 in k 2.169 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.169 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.169 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.169 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.169 * [taylor]: Taking taylor expansion of 1.0 in k 2.169 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.169 * [taylor]: Taking taylor expansion of -2.0 in k 2.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.171 * [taylor]: Taking taylor expansion of 1.0 in k 2.171 * [taylor]: Taking taylor expansion of (log PI) in k 2.171 * [taylor]: Taking taylor expansion of PI in k 2.173 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.173 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.173 * [taylor]: Taking taylor expansion of 1.0 in k 2.173 * [taylor]: Taking taylor expansion of (log n) in k 2.173 * [taylor]: Taking taylor expansion of n in k 2.215 * [taylor]: Taking taylor expansion of 0 in k 2.282 * [taylor]: Taking taylor expansion of 0 in k 2.328 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.328 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.328 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.328 * [taylor]: Taking taylor expansion of 0.5 in n 2.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.328 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.328 * [taylor]: Taking taylor expansion of 2.0 in n 2.328 * [taylor]: Taking taylor expansion of (* n PI) in n 2.328 * [taylor]: Taking taylor expansion of n in n 2.328 * [taylor]: Taking taylor expansion of PI in n 2.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.334 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.334 * [taylor]: Taking taylor expansion of 0.5 in n 2.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.334 * [taylor]: Taking taylor expansion of 2.0 in n 2.334 * [taylor]: Taking taylor expansion of (* n PI) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of PI in n 2.419 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.420 * [taylor]: Taking taylor expansion of 0.5 in n 2.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.420 * [taylor]: Taking taylor expansion of 2.0 in n 2.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.420 * [taylor]: Taking taylor expansion of PI in n 2.420 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.423 * [taylor]: Taking taylor expansion of 0.5 in n 2.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.423 * [taylor]: Taking taylor expansion of 2.0 in n 2.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.506 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.506 * [taylor]: Taking taylor expansion of 0.5 in n 2.506 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.506 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.506 * [taylor]: Taking taylor expansion of -2.0 in n 2.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.506 * [taylor]: Taking taylor expansion of PI in n 2.506 * [taylor]: Taking taylor expansion of n in n 2.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.509 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.509 * [taylor]: Taking taylor expansion of 0.5 in n 2.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.509 * [taylor]: Taking taylor expansion of -2.0 in n 2.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.509 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.593 * * * [progress]: simplifying candidates 2.595 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 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)))) (+ 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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))) (* (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) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (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 (* (/ 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))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.700 * * * [progress]: adding candidates to table 2.919 * * [progress]: iteration 3 / 4 2.919 * * * [progress]: picking best candidate 2.943 * * * * [pick]: Picked # 2.943 * * * [progress]: localizing error 2.962 * * * [progress]: generating rewritten candidates 2.962 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.968 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.977 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.016 * * * [progress]: generating series expansions 3.016 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 3.017 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.017 * [taylor]: Taking taylor expansion of 2.0 in n 3.017 * [taylor]: Taking taylor expansion of (* n PI) in n 3.017 * [taylor]: Taking taylor expansion of n in n 3.017 * [taylor]: Taking taylor expansion of PI in n 3.017 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.017 * [taylor]: Taking taylor expansion of 2.0 in n 3.017 * [taylor]: Taking taylor expansion of (* n PI) in n 3.017 * [taylor]: Taking taylor expansion of n in n 3.017 * [taylor]: Taking taylor expansion of PI in n 3.029 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.029 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.029 * [taylor]: Taking taylor expansion of 2.0 in n 3.029 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.029 * [taylor]: Taking taylor expansion of PI in n 3.029 * [taylor]: Taking taylor expansion of n in n 3.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.030 * [taylor]: Taking taylor expansion of 2.0 in n 3.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.030 * [taylor]: Taking taylor expansion of PI in n 3.030 * [taylor]: Taking taylor expansion of n in n 3.039 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.039 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.039 * [taylor]: Taking taylor expansion of -2.0 in n 3.039 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.039 * [taylor]: Taking taylor expansion of PI in n 3.039 * [taylor]: Taking taylor expansion of n in n 3.039 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.040 * [taylor]: Taking taylor expansion of -2.0 in n 3.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.040 * [taylor]: Taking taylor expansion of PI in n 3.040 * [taylor]: Taking taylor expansion of n in n 3.048 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.048 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.049 * [taylor]: Taking taylor expansion of 2.0 in n 3.049 * [taylor]: Taking taylor expansion of (* n PI) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of PI in n 3.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.049 * [taylor]: Taking taylor expansion of 2.0 in n 3.049 * [taylor]: Taking taylor expansion of (* n PI) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of PI in n 3.068 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.068 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.068 * [taylor]: Taking taylor expansion of 2.0 in n 3.068 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.068 * [taylor]: Taking taylor expansion of PI in n 3.068 * [taylor]: Taking taylor expansion of n in n 3.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.069 * [taylor]: Taking taylor expansion of 2.0 in n 3.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.069 * [taylor]: Taking taylor expansion of PI in n 3.069 * [taylor]: Taking taylor expansion of n in n 3.078 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.078 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.078 * [taylor]: Taking taylor expansion of -2.0 in n 3.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.078 * [taylor]: Taking taylor expansion of PI in n 3.078 * [taylor]: Taking taylor expansion of n in n 3.078 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.078 * [taylor]: Taking taylor expansion of -2.0 in n 3.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.078 * [taylor]: Taking taylor expansion of PI in n 3.078 * [taylor]: Taking taylor expansion of n in n 3.087 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.088 * [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 3.088 * [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 3.088 * [taylor]: Taking taylor expansion of 1.0 in k 3.088 * [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 3.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.088 * [taylor]: Taking taylor expansion of k in k 3.090 * [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 3.090 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.090 * [taylor]: Taking taylor expansion of 0.5 in k 3.090 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.090 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.090 * [taylor]: Taking taylor expansion of 1.0 in k 3.090 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.090 * [taylor]: Taking taylor expansion of 2.0 in k 3.092 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.092 * [taylor]: Taking taylor expansion of 1.0 in k 3.092 * [taylor]: Taking taylor expansion of (log n) in k 3.092 * [taylor]: Taking taylor expansion of n in k 3.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.092 * [taylor]: Taking taylor expansion of 1.0 in k 3.092 * [taylor]: Taking taylor expansion of (log PI) in k 3.092 * [taylor]: Taking taylor expansion of PI in k 3.097 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.097 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.097 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.097 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.097 * [taylor]: Taking taylor expansion of 0.5 in k 3.097 * [taylor]: Taking taylor expansion of k in k 3.098 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.098 * [taylor]: Taking taylor expansion of 2.0 in k 3.098 * [taylor]: Taking taylor expansion of (* n PI) in k 3.098 * [taylor]: Taking taylor expansion of n in k 3.098 * [taylor]: Taking taylor expansion of PI in k 3.100 * [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 3.101 * [taylor]: Taking taylor expansion of 1.0 in n 3.101 * [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 3.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.101 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.101 * [taylor]: Taking taylor expansion of k in n 3.101 * [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 3.101 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.101 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.101 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.101 * [taylor]: Taking taylor expansion of 0.5 in n 3.101 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.101 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.101 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.101 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.101 * [taylor]: Taking taylor expansion of 1.0 in n 3.101 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.101 * [taylor]: Taking taylor expansion of 2.0 in n 3.103 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.103 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.103 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.103 * [taylor]: Taking taylor expansion of 1.0 in n 3.103 * [taylor]: Taking taylor expansion of (log n) in n 3.103 * [taylor]: Taking taylor expansion of n in n 3.103 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.103 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.104 * [taylor]: Taking taylor expansion of 1.0 in n 3.104 * [taylor]: Taking taylor expansion of (log PI) in n 3.104 * [taylor]: Taking taylor expansion of PI in n 3.109 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.109 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.109 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.109 * [taylor]: Taking taylor expansion of 0.5 in n 3.109 * [taylor]: Taking taylor expansion of k in n 3.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.109 * [taylor]: Taking taylor expansion of 2.0 in n 3.109 * [taylor]: Taking taylor expansion of (* n PI) in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.109 * [taylor]: Taking taylor expansion of PI in n 3.115 * [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 3.115 * [taylor]: Taking taylor expansion of 1.0 in n 3.115 * [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 3.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.115 * [taylor]: Taking taylor expansion of k in n 3.115 * [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 3.115 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.115 * [taylor]: Taking taylor expansion of 0.5 in n 3.115 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.115 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.116 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.116 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.116 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.116 * [taylor]: Taking taylor expansion of 1.0 in n 3.116 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.116 * [taylor]: Taking taylor expansion of 2.0 in n 3.117 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.117 * [taylor]: Taking taylor expansion of 1.0 in n 3.117 * [taylor]: Taking taylor expansion of (log n) in n 3.117 * [taylor]: Taking taylor expansion of n in n 3.118 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.118 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.118 * [taylor]: Taking taylor expansion of 1.0 in n 3.118 * [taylor]: Taking taylor expansion of (log PI) in n 3.118 * [taylor]: Taking taylor expansion of PI in n 3.124 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.124 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.124 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.124 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.124 * [taylor]: Taking taylor expansion of 0.5 in n 3.124 * [taylor]: Taking taylor expansion of k in n 3.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.124 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.124 * [taylor]: Taking taylor expansion of 2.0 in n 3.124 * [taylor]: Taking taylor expansion of (* n PI) in n 3.124 * [taylor]: Taking taylor expansion of n in n 3.124 * [taylor]: Taking taylor expansion of PI in n 3.135 * [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 3.135 * [taylor]: Taking taylor expansion of 1.0 in k 3.135 * [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 3.135 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.135 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.135 * [taylor]: Taking taylor expansion of k in k 3.136 * [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 3.136 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.136 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.136 * [taylor]: Taking taylor expansion of 0.5 in k 3.136 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.136 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.136 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.136 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [taylor]: Taking taylor expansion of (log PI) in k 3.136 * [taylor]: Taking taylor expansion of PI in k 3.138 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.138 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.138 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.138 * [taylor]: Taking taylor expansion of 1.0 in k 3.138 * [taylor]: Taking taylor expansion of (log n) in k 3.138 * [taylor]: Taking taylor expansion of n in k 3.138 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.138 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.138 * [taylor]: Taking taylor expansion of 1.0 in k 3.138 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.138 * [taylor]: Taking taylor expansion of 2.0 in k 3.144 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.144 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.144 * [taylor]: Taking taylor expansion of 0.5 in k 3.144 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.144 * [taylor]: Taking taylor expansion of k in k 3.144 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.144 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.144 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.144 * [taylor]: Taking taylor expansion of 2.0 in k 3.144 * [taylor]: Taking taylor expansion of PI in k 3.145 * [taylor]: Taking taylor expansion of (log n) in k 3.145 * [taylor]: Taking taylor expansion of n in k 3.183 * [taylor]: Taking taylor expansion of 0 in k 3.235 * [taylor]: Taking taylor expansion of 0 in k 3.476 * [taylor]: Taking taylor expansion of 0 in k 3.593 * [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 3.593 * [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 3.593 * [taylor]: Taking taylor expansion of 1.0 in k 3.593 * [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 3.593 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.593 * [taylor]: Taking taylor expansion of k in k 3.594 * [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 3.594 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.594 * [taylor]: Taking taylor expansion of 0.5 in k 3.594 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.594 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.594 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.594 * [taylor]: Taking taylor expansion of 1.0 in k 3.594 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.594 * [taylor]: Taking taylor expansion of 2.0 in k 3.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.596 * [taylor]: Taking taylor expansion of 1.0 in k 3.596 * [taylor]: Taking taylor expansion of (log PI) in k 3.596 * [taylor]: Taking taylor expansion of PI in k 3.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.598 * [taylor]: Taking taylor expansion of 1.0 in k 3.598 * [taylor]: Taking taylor expansion of (log n) in k 3.598 * [taylor]: Taking taylor expansion of n in k 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.605 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.605 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.605 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.605 * [taylor]: Taking taylor expansion of 0.5 in k 3.605 * [taylor]: Taking taylor expansion of k in k 3.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.605 * [taylor]: Taking taylor expansion of 2.0 in k 3.605 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.605 * [taylor]: Taking taylor expansion of PI in k 3.605 * [taylor]: Taking taylor expansion of n in k 3.605 * [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 3.605 * [taylor]: Taking taylor expansion of 1.0 in n 3.605 * [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 3.605 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.605 * [taylor]: Taking taylor expansion of k in n 3.606 * [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 3.606 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.606 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.606 * [taylor]: Taking taylor expansion of 0.5 in n 3.606 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.606 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.606 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.606 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.606 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.606 * [taylor]: Taking taylor expansion of 1.0 in n 3.606 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.606 * [taylor]: Taking taylor expansion of 2.0 in n 3.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.608 * [taylor]: Taking taylor expansion of 1.0 in n 3.608 * [taylor]: Taking taylor expansion of (log PI) in n 3.608 * [taylor]: Taking taylor expansion of PI in n 3.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.609 * [taylor]: Taking taylor expansion of 1.0 in n 3.609 * [taylor]: Taking taylor expansion of (log n) in n 3.609 * [taylor]: Taking taylor expansion of n in n 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.617 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.617 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.617 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.617 * [taylor]: Taking taylor expansion of 0.5 in n 3.617 * [taylor]: Taking taylor expansion of k in n 3.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.617 * [taylor]: Taking taylor expansion of 2.0 in n 3.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.617 * [taylor]: Taking taylor expansion of PI in n 3.617 * [taylor]: Taking taylor expansion of n in n 3.621 * [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 3.621 * [taylor]: Taking taylor expansion of 1.0 in n 3.621 * [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 3.621 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.621 * [taylor]: Taking taylor expansion of k in n 3.621 * [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 3.621 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.621 * [taylor]: Taking taylor expansion of 0.5 in n 3.621 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.621 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.621 * [taylor]: Taking taylor expansion of 1.0 in n 3.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.621 * [taylor]: Taking taylor expansion of 2.0 in n 3.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.623 * [taylor]: Taking taylor expansion of 1.0 in n 3.623 * [taylor]: Taking taylor expansion of (log PI) in n 3.623 * [taylor]: Taking taylor expansion of PI in n 3.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.625 * [taylor]: Taking taylor expansion of 1.0 in n 3.625 * [taylor]: Taking taylor expansion of (log n) in n 3.625 * [taylor]: Taking taylor expansion of n in n 3.632 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.632 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.632 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.633 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.633 * [taylor]: Taking taylor expansion of 0.5 in n 3.636 * [taylor]: Taking taylor expansion of k in n 3.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.636 * [taylor]: Taking taylor expansion of 2.0 in n 3.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.636 * [taylor]: Taking taylor expansion of PI in n 3.636 * [taylor]: Taking taylor expansion of n in n 3.647 * [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 3.647 * [taylor]: Taking taylor expansion of 1.0 in k 3.647 * [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 3.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.647 * [taylor]: Taking taylor expansion of k in k 3.648 * [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 3.648 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.648 * [taylor]: Taking taylor expansion of 0.5 in k 3.648 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.648 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.648 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.648 * [taylor]: Taking taylor expansion of 1.0 in k 3.648 * [taylor]: Taking taylor expansion of (log PI) in k 3.648 * [taylor]: Taking taylor expansion of PI in k 3.650 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.650 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.650 * [taylor]: Taking taylor expansion of 1.0 in k 3.650 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.650 * [taylor]: Taking taylor expansion of 2.0 in k 3.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.652 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.652 * [taylor]: Taking taylor expansion of 1.0 in k 3.652 * [taylor]: Taking taylor expansion of (log n) in k 3.652 * [taylor]: Taking taylor expansion of n in k 3.658 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.658 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.658 * [taylor]: Taking taylor expansion of 0.5 in k 3.658 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.658 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.658 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.658 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.658 * [taylor]: Taking taylor expansion of 2.0 in k 3.658 * [taylor]: Taking taylor expansion of PI in k 3.659 * [taylor]: Taking taylor expansion of (log n) in k 3.659 * [taylor]: Taking taylor expansion of n in k 3.659 * [taylor]: Taking taylor expansion of k in k 3.694 * [taylor]: Taking taylor expansion of 0 in k 3.755 * [taylor]: Taking taylor expansion of 0 in k 3.838 * [taylor]: Taking taylor expansion of 0 in k 3.894 * [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 3.894 * [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 3.894 * [taylor]: Taking taylor expansion of 1.0 in k 3.894 * [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 3.894 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.894 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.894 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.894 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.894 * [taylor]: Taking taylor expansion of -1 in k 3.894 * [taylor]: Taking taylor expansion of k in k 3.895 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.895 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.896 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.896 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.896 * [taylor]: Taking taylor expansion of -0.5 in k 3.896 * [taylor]: Taking taylor expansion of k in k 3.896 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.896 * [taylor]: Taking taylor expansion of -2.0 in k 3.896 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.896 * [taylor]: Taking taylor expansion of PI in k 3.896 * [taylor]: Taking taylor expansion of n in k 3.897 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.897 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.897 * [taylor]: Taking taylor expansion of 0.5 in k 3.897 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.897 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.897 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.897 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.897 * [taylor]: Taking taylor expansion of 1.0 in k 3.897 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.897 * [taylor]: Taking taylor expansion of -2.0 in k 3.899 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.899 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.899 * [taylor]: Taking taylor expansion of 1.0 in k 3.899 * [taylor]: Taking taylor expansion of (log PI) in k 3.899 * [taylor]: Taking taylor expansion of PI in k 3.901 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.901 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.901 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.901 * [taylor]: Taking taylor expansion of 1.0 in k 3.901 * [taylor]: Taking taylor expansion of (log n) in k 3.901 * [taylor]: Taking taylor expansion of n in k 3.908 * [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 3.908 * [taylor]: Taking taylor expansion of 1.0 in n 3.908 * [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 3.908 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.908 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.908 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.908 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.908 * [taylor]: Taking taylor expansion of -1 in n 3.908 * [taylor]: Taking taylor expansion of k in n 3.908 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.908 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.908 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.908 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.908 * [taylor]: Taking taylor expansion of -0.5 in n 3.908 * [taylor]: Taking taylor expansion of k in n 3.908 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.908 * [taylor]: Taking taylor expansion of -2.0 in n 3.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.908 * [taylor]: Taking taylor expansion of PI in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.913 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.913 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.913 * [taylor]: Taking taylor expansion of 0.5 in n 3.913 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.913 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.913 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.913 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.913 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.913 * [taylor]: Taking taylor expansion of 1.0 in n 3.914 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.914 * [taylor]: Taking taylor expansion of -2.0 in n 3.915 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.915 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [taylor]: Taking taylor expansion of (log PI) in n 3.915 * [taylor]: Taking taylor expansion of PI in n 3.917 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.917 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.917 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.917 * [taylor]: Taking taylor expansion of 1.0 in n 3.917 * [taylor]: Taking taylor expansion of (log n) in n 3.917 * [taylor]: Taking taylor expansion of n in n 3.924 * [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 3.924 * [taylor]: Taking taylor expansion of 1.0 in n 3.924 * [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 3.924 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.924 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.924 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.924 * [taylor]: Taking taylor expansion of -1 in n 3.924 * [taylor]: Taking taylor expansion of k in n 3.925 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.925 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.925 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.925 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.925 * [taylor]: Taking taylor expansion of -0.5 in n 3.925 * [taylor]: Taking taylor expansion of k in n 3.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.925 * [taylor]: Taking taylor expansion of -2.0 in n 3.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.925 * [taylor]: Taking taylor expansion of PI in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.930 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.930 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.930 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.930 * [taylor]: Taking taylor expansion of 0.5 in n 3.930 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.930 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.930 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.930 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.930 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.930 * [taylor]: Taking taylor expansion of 1.0 in n 3.930 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.930 * [taylor]: Taking taylor expansion of -2.0 in n 3.932 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.932 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.932 * [taylor]: Taking taylor expansion of 1.0 in n 3.932 * [taylor]: Taking taylor expansion of (log PI) in n 3.932 * [taylor]: Taking taylor expansion of PI in n 3.934 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.934 * [taylor]: Taking taylor expansion of 1.0 in n 3.934 * [taylor]: Taking taylor expansion of (log n) in n 3.934 * [taylor]: Taking taylor expansion of n in n 3.945 * [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 3.945 * [taylor]: Taking taylor expansion of 1.0 in k 3.945 * [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 3.945 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.945 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.945 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.945 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.945 * [taylor]: Taking taylor expansion of -0.5 in k 3.945 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.945 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.945 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.945 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.945 * [taylor]: Taking taylor expansion of -2.0 in k 3.945 * [taylor]: Taking taylor expansion of PI in k 3.946 * [taylor]: Taking taylor expansion of (log n) in k 3.946 * [taylor]: Taking taylor expansion of n in k 3.946 * [taylor]: Taking taylor expansion of k in k 3.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.949 * [taylor]: Taking taylor expansion of -1 in k 3.949 * [taylor]: Taking taylor expansion of k in k 3.953 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.953 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.953 * [taylor]: Taking taylor expansion of 0.5 in k 3.953 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.953 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.953 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.953 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.953 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.953 * [taylor]: Taking taylor expansion of 1.0 in k 3.953 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.953 * [taylor]: Taking taylor expansion of -2.0 in k 3.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.955 * [taylor]: Taking taylor expansion of 1.0 in k 3.955 * [taylor]: Taking taylor expansion of (log PI) in k 3.955 * [taylor]: Taking taylor expansion of PI in k 3.957 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.957 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.957 * [taylor]: Taking taylor expansion of 1.0 in k 3.957 * [taylor]: Taking taylor expansion of (log n) in k 3.957 * [taylor]: Taking taylor expansion of n in k 3.998 * [taylor]: Taking taylor expansion of 0 in k 4.057 * [taylor]: Taking taylor expansion of 0 in k 4.106 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.107 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in (k n) around 0 4.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.107 * [taylor]: Taking taylor expansion of k in n 4.107 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.107 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.107 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.107 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.107 * [taylor]: Taking taylor expansion of 0.5 in n 4.107 * [taylor]: Taking taylor expansion of k in n 4.107 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.107 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.107 * [taylor]: Taking taylor expansion of 2.0 in n 4.107 * [taylor]: Taking taylor expansion of (* n PI) in n 4.107 * [taylor]: Taking taylor expansion of n in n 4.107 * [taylor]: Taking taylor expansion of PI in n 4.113 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.113 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.113 * [taylor]: Taking taylor expansion of k in k 4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.115 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.115 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.115 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.115 * [taylor]: Taking taylor expansion of 0.5 in k 4.115 * [taylor]: Taking taylor expansion of k in k 4.115 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.115 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.115 * [taylor]: Taking taylor expansion of 2.0 in k 4.115 * [taylor]: Taking taylor expansion of (* n PI) in k 4.115 * [taylor]: Taking taylor expansion of n in k 4.115 * [taylor]: Taking taylor expansion of PI in k 4.118 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.118 * [taylor]: Taking taylor expansion of k in k 4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.119 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.119 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.119 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.119 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.119 * [taylor]: Taking taylor expansion of 0.5 in k 4.119 * [taylor]: Taking taylor expansion of k in k 4.119 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.119 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.119 * [taylor]: Taking taylor expansion of 2.0 in k 4.119 * [taylor]: Taking taylor expansion of (* n PI) in k 4.119 * [taylor]: Taking taylor expansion of n in k 4.119 * [taylor]: Taking taylor expansion of PI in k 4.122 * [taylor]: Taking taylor expansion of 0 in n 4.123 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.123 * [taylor]: Taking taylor expansion of +nan.0 in n 4.131 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 4.131 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 4.131 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 4.131 * [taylor]: Taking taylor expansion of +nan.0 in n 4.131 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.131 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.131 * [taylor]: Taking taylor expansion of 2.0 in n 4.131 * [taylor]: Taking taylor expansion of (* n PI) in n 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [taylor]: Taking taylor expansion of PI in n 4.134 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.134 * [taylor]: Taking taylor expansion of +nan.0 in n 4.149 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))))) in n 4.149 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)))) in n 4.149 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) in n 4.149 * [taylor]: Taking taylor expansion of +nan.0 in n 4.149 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.149 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.149 * [taylor]: Taking taylor expansion of 2.0 in n 4.149 * [taylor]: Taking taylor expansion of (* n PI) in n 4.149 * [taylor]: Taking taylor expansion of n in n 4.149 * [taylor]: Taking taylor expansion of PI in n 4.159 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 4.159 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 4.159 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 4.159 * [taylor]: Taking taylor expansion of +nan.0 in n 4.159 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.159 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.159 * [taylor]: Taking taylor expansion of 2.0 in n 4.159 * [taylor]: Taking taylor expansion of (* n PI) in n 4.159 * [taylor]: Taking taylor expansion of n in n 4.159 * [taylor]: Taking taylor expansion of PI in n 4.162 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.162 * [taylor]: Taking taylor expansion of +nan.0 in n 4.188 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 4.188 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.188 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.188 * [taylor]: Taking taylor expansion of k in n 4.188 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.188 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.188 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.188 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.188 * [taylor]: Taking taylor expansion of 0.5 in n 4.188 * [taylor]: Taking taylor expansion of k in n 4.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.188 * [taylor]: Taking taylor expansion of 2.0 in n 4.188 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.188 * [taylor]: Taking taylor expansion of PI in n 4.188 * [taylor]: Taking taylor expansion of n in n 4.193 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.193 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.193 * [taylor]: Taking taylor expansion of k in k 4.194 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.194 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.194 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.194 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.194 * [taylor]: Taking taylor expansion of 0.5 in k 4.194 * [taylor]: Taking taylor expansion of k in k 4.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.194 * [taylor]: Taking taylor expansion of 2.0 in k 4.194 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.194 * [taylor]: Taking taylor expansion of PI in k 4.194 * [taylor]: Taking taylor expansion of n in k 4.195 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.195 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.195 * [taylor]: Taking taylor expansion of k in k 4.196 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.196 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.196 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.196 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.196 * [taylor]: Taking taylor expansion of 0.5 in k 4.196 * [taylor]: Taking taylor expansion of k in k 4.196 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.196 * [taylor]: Taking taylor expansion of 2.0 in k 4.196 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.196 * [taylor]: Taking taylor expansion of PI in k 4.196 * [taylor]: Taking taylor expansion of n in k 4.197 * [taylor]: Taking taylor expansion of 0 in n 4.197 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.197 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.197 * [taylor]: Taking taylor expansion of +nan.0 in n 4.197 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.198 * [taylor]: Taking taylor expansion of 0.5 in n 4.198 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.198 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.198 * [taylor]: Taking taylor expansion of n in n 4.199 * [taylor]: Taking taylor expansion of k in n 4.208 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.208 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.208 * [taylor]: Taking taylor expansion of +nan.0 in n 4.208 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.208 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.208 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.208 * [taylor]: Taking taylor expansion of 0.5 in n 4.209 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.209 * [taylor]: Taking taylor expansion of 2.0 in n 4.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.209 * [taylor]: Taking taylor expansion of PI in n 4.209 * [taylor]: Taking taylor expansion of n in n 4.210 * [taylor]: Taking taylor expansion of k in n 4.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.228 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.228 * [taylor]: Taking taylor expansion of +nan.0 in n 4.228 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.228 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.228 * [taylor]: Taking taylor expansion of 0.5 in n 4.228 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.228 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.228 * [taylor]: Taking taylor expansion of 2.0 in n 4.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.228 * [taylor]: Taking taylor expansion of PI in n 4.228 * [taylor]: Taking taylor expansion of n in n 4.230 * [taylor]: Taking taylor expansion of k in n 4.245 * [approximate]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in (k n) around 0 4.245 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.245 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.245 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.245 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.245 * [taylor]: Taking taylor expansion of -1 in n 4.245 * [taylor]: Taking taylor expansion of k in n 4.246 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.246 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.246 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.246 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.246 * [taylor]: Taking taylor expansion of -0.5 in n 4.246 * [taylor]: Taking taylor expansion of k in n 4.246 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.246 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.246 * [taylor]: Taking taylor expansion of -2.0 in n 4.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.246 * [taylor]: Taking taylor expansion of PI in n 4.246 * [taylor]: Taking taylor expansion of n in n 4.251 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.251 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.251 * [taylor]: Taking taylor expansion of -1 in k 4.251 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.252 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.252 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.252 * [taylor]: Taking taylor expansion of -0.5 in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.253 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.253 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.253 * [taylor]: Taking taylor expansion of -2.0 in k 4.253 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.253 * [taylor]: Taking taylor expansion of PI in k 4.253 * [taylor]: Taking taylor expansion of n in k 4.254 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.254 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.254 * [taylor]: Taking taylor expansion of -1 in k 4.254 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.255 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.255 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.255 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.255 * [taylor]: Taking taylor expansion of -0.5 in k 4.255 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.255 * [taylor]: Taking taylor expansion of -2.0 in k 4.256 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.256 * [taylor]: Taking taylor expansion of PI in k 4.256 * [taylor]: Taking taylor expansion of n in k 4.256 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.256 * [taylor]: Taking taylor expansion of +nan.0 in n 4.256 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.256 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.257 * [taylor]: Taking taylor expansion of -0.5 in n 4.257 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.257 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.257 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.257 * [taylor]: Taking taylor expansion of -2.0 in n 4.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.257 * [taylor]: Taking taylor expansion of PI in n 4.257 * [taylor]: Taking taylor expansion of n in n 4.258 * [taylor]: Taking taylor expansion of k in n 4.266 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.266 * [taylor]: Taking taylor expansion of +nan.0 in n 4.266 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.266 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.266 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.266 * [taylor]: Taking taylor expansion of -0.5 in n 4.266 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.266 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.267 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.267 * [taylor]: Taking taylor expansion of -2.0 in n 4.267 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.267 * [taylor]: Taking taylor expansion of PI in n 4.267 * [taylor]: Taking taylor expansion of n in n 4.268 * [taylor]: Taking taylor expansion of k in n 4.286 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.286 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.286 * [taylor]: Taking taylor expansion of +nan.0 in n 4.286 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.286 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.286 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.286 * [taylor]: Taking taylor expansion of -0.5 in n 4.286 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.286 * [taylor]: Taking taylor expansion of -2.0 in n 4.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.286 * [taylor]: Taking taylor expansion of PI in n 4.287 * [taylor]: Taking taylor expansion of n in n 4.288 * [taylor]: Taking taylor expansion of k in n 4.297 * * * [progress]: simplifying candidates 4.301 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (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) (log PI)) (log n)) (/ 1.0 2.0))) (- 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))) (- 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))) (- 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))) (- 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))) (- 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))) (- 0 (log (* (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 1) (+ (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 1) (+ (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 1) (+ (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 1) (+ (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 1) (+ (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 1) (log (* (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 (/ 1 (* (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 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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) (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)))) (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) (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)))) (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) (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)))) (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) (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)))) (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) (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))))) (pow (exp (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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) (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))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (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))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (* 1.0 (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) (/ 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))) (- 1) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 1) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ 1 (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 (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt 1)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (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 (* (/ 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 (* (pow k 2) (pow (log n) 2)))) (- (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow k 2)) (- (* +nan.0 k) (- (* +nan.0 (* (pow k 2) (log n))) (- (* +nan.0 (* k (log (* 2.0 PI)))) (- (* +nan.0 (* k (log n))) +nan.0))))))))) (+ (* +nan.0 (- (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (/ (- +nan.0) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (+ (* +nan.0 (- (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (/ (- +nan.0) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) 4.423 * * * [progress]: adding candidates to table 4.659 * * [progress]: iteration 4 / 4 4.659 * * * [progress]: picking best candidate 4.685 * * * * [pick]: Picked # 4.685 * * * [progress]: localizing error 4.708 * * * [progress]: generating rewritten candidates 4.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.720 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.724 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.729 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.739 * * * [progress]: generating series expansions 4.739 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.741 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 4.741 * [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))) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.741 * [taylor]: Taking taylor expansion of k in n 4.741 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.741 * [taylor]: Taking taylor expansion of 0.5 in n 4.741 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.741 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.741 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.741 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [taylor]: Taking taylor expansion of (log PI) in n 4.741 * [taylor]: Taking taylor expansion of PI in n 4.743 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.743 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.743 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.743 * [taylor]: Taking taylor expansion of 1.0 in n 4.743 * [taylor]: Taking taylor expansion of (log n) in n 4.743 * [taylor]: Taking taylor expansion of n in n 4.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.744 * [taylor]: Taking taylor expansion of 2.0 in n 4.750 * [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))) in k 4.750 * [taylor]: Taking taylor expansion of 1.0 in k 4.750 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.750 * [taylor]: Taking taylor expansion of k in k 4.751 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.751 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.751 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.751 * [taylor]: Taking taylor expansion of 0.5 in k 4.751 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.751 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.751 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.751 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.751 * [taylor]: Taking taylor expansion of 1.0 in k 4.751 * [taylor]: Taking taylor expansion of (log PI) in k 4.751 * [taylor]: Taking taylor expansion of PI in k 4.753 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.753 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.753 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.753 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.753 * [taylor]: Taking taylor expansion of 1.0 in k 4.753 * [taylor]: Taking taylor expansion of (log n) in k 4.753 * [taylor]: Taking taylor expansion of n in k 4.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.754 * [taylor]: Taking taylor expansion of 1.0 in k 4.754 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.754 * [taylor]: Taking taylor expansion of 2.0 in k 4.759 * [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))) in k 4.759 * [taylor]: Taking taylor expansion of 1.0 in k 4.759 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.759 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.759 * [taylor]: Taking taylor expansion of k in k 4.760 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.760 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.760 * [taylor]: Taking taylor expansion of 0.5 in k 4.760 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.760 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.760 * [taylor]: Taking taylor expansion of 1.0 in k 4.760 * [taylor]: Taking taylor expansion of (log PI) in k 4.760 * [taylor]: Taking taylor expansion of PI in k 4.762 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.762 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.762 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.762 * [taylor]: Taking taylor expansion of 1.0 in k 4.762 * [taylor]: Taking taylor expansion of (log n) in k 4.762 * [taylor]: Taking taylor expansion of n in k 4.762 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.763 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.763 * [taylor]: Taking taylor expansion of 1.0 in k 4.763 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.763 * [taylor]: Taking taylor expansion of 2.0 in k 4.769 * [taylor]: Taking taylor expansion of 0 in n 4.782 * [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 4.782 * [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 4.782 * [taylor]: Taking taylor expansion of +nan.0 in n 4.782 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.782 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.782 * [taylor]: Taking taylor expansion of 0.5 in n 4.782 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.782 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.782 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.782 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.782 * [taylor]: Taking taylor expansion of 1.0 in n 4.782 * [taylor]: Taking taylor expansion of (log PI) in n 4.782 * [taylor]: Taking taylor expansion of PI in n 4.784 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.784 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.784 * [taylor]: Taking taylor expansion of 1.0 in n 4.784 * [taylor]: Taking taylor expansion of (log n) in n 4.784 * [taylor]: Taking taylor expansion of n in n 4.785 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.785 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.785 * [taylor]: Taking taylor expansion of 1.0 in n 4.785 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.785 * [taylor]: Taking taylor expansion of 2.0 in n 4.820 * [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 4.820 * [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 4.820 * [taylor]: Taking taylor expansion of +nan.0 in n 4.820 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.820 * [taylor]: Taking taylor expansion of 0.5 in n 4.820 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.820 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.820 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.821 * [taylor]: Taking taylor expansion of 2.0 in n 4.822 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.822 * [taylor]: Taking taylor expansion of 1.0 in n 4.822 * [taylor]: Taking taylor expansion of (log n) in n 4.822 * [taylor]: Taking taylor expansion of n in n 4.823 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.823 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.823 * [taylor]: Taking taylor expansion of 1.0 in n 4.823 * [taylor]: Taking taylor expansion of (log PI) in n 4.823 * [taylor]: Taking taylor expansion of PI in n 4.872 * [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 4.872 * [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 4.872 * [taylor]: Taking taylor expansion of +nan.0 in n 4.872 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.872 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.872 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.872 * [taylor]: Taking taylor expansion of 0.5 in n 4.872 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.872 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.872 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.872 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.872 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.872 * [taylor]: Taking taylor expansion of 1.0 in n 4.872 * [taylor]: Taking taylor expansion of (log PI) in n 4.872 * [taylor]: Taking taylor expansion of PI in n 4.874 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.874 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.874 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.874 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.874 * [taylor]: Taking taylor expansion of 1.0 in n 4.874 * [taylor]: Taking taylor expansion of (log n) in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.875 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.875 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.875 * [taylor]: Taking taylor expansion of 1.0 in n 4.875 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.875 * [taylor]: Taking taylor expansion of 2.0 in n 4.886 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 4.886 * [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))) in n 4.886 * [taylor]: Taking taylor expansion of 1.0 in n 4.886 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.886 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.886 * [taylor]: Taking taylor expansion of k in n 4.886 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.886 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.886 * [taylor]: Taking taylor expansion of 0.5 in n 4.886 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.887 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.887 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.887 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.887 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.887 * [taylor]: Taking taylor expansion of 1.0 in n 4.887 * [taylor]: Taking taylor expansion of (log PI) in n 4.887 * [taylor]: Taking taylor expansion of PI in n 4.888 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.889 * [taylor]: Taking taylor expansion of 1.0 in n 4.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.889 * [taylor]: Taking taylor expansion of 2.0 in n 4.896 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.896 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.896 * [taylor]: Taking taylor expansion of 1.0 in n 4.896 * [taylor]: Taking taylor expansion of (log n) in n 4.896 * [taylor]: Taking taylor expansion of n in n 4.903 * [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))) in k 4.903 * [taylor]: Taking taylor expansion of 1.0 in k 4.903 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.903 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.903 * [taylor]: Taking taylor expansion of k in k 4.904 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.904 * [taylor]: Taking taylor expansion of 0.5 in k 4.904 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.904 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.905 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.905 * [taylor]: Taking taylor expansion of 1.0 in k 4.905 * [taylor]: Taking taylor expansion of (log PI) in k 4.905 * [taylor]: Taking taylor expansion of PI in k 4.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.906 * [taylor]: Taking taylor expansion of 1.0 in k 4.907 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.907 * [taylor]: Taking taylor expansion of 2.0 in k 4.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.908 * [taylor]: Taking taylor expansion of 1.0 in k 4.908 * [taylor]: Taking taylor expansion of (log n) in k 4.908 * [taylor]: Taking taylor expansion of n in k 4.915 * [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))) in k 4.915 * [taylor]: Taking taylor expansion of 1.0 in k 4.915 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.915 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.915 * [taylor]: Taking taylor expansion of k in k 4.916 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.916 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.916 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.916 * [taylor]: Taking taylor expansion of 0.5 in k 4.916 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.916 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.916 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.916 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.916 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.916 * [taylor]: Taking taylor expansion of 1.0 in k 4.916 * [taylor]: Taking taylor expansion of (log PI) in k 4.916 * [taylor]: Taking taylor expansion of PI in k 4.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.918 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.918 * [taylor]: Taking taylor expansion of 1.0 in k 4.918 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.918 * [taylor]: Taking taylor expansion of 2.0 in k 4.920 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.920 * [taylor]: Taking taylor expansion of 1.0 in k 4.920 * [taylor]: Taking taylor expansion of (log n) in k 4.920 * [taylor]: Taking taylor expansion of n in k 4.929 * [taylor]: Taking taylor expansion of 0 in n 4.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.944 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.944 * [taylor]: Taking taylor expansion of +nan.0 in n 4.944 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.944 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.944 * [taylor]: Taking taylor expansion of 0.5 in n 4.944 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.944 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.944 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.944 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.944 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.944 * [taylor]: Taking taylor expansion of 1.0 in n 4.944 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.944 * [taylor]: Taking taylor expansion of 2.0 in n 4.946 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.946 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.946 * [taylor]: Taking taylor expansion of 1.0 in n 4.946 * [taylor]: Taking taylor expansion of (log PI) in n 4.946 * [taylor]: Taking taylor expansion of PI in n 4.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.948 * [taylor]: Taking taylor expansion of 1.0 in n 4.948 * [taylor]: Taking taylor expansion of (log n) in n 4.948 * [taylor]: Taking taylor expansion of n in n 4.989 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.989 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.989 * [taylor]: Taking taylor expansion of +nan.0 in n 4.989 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.989 * [taylor]: Taking taylor expansion of 0.5 in n 4.989 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.989 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.989 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.989 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.990 * [taylor]: Taking taylor expansion of 1.0 in n 4.990 * [taylor]: Taking taylor expansion of (log PI) in n 4.990 * [taylor]: Taking taylor expansion of PI in n 4.991 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.991 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.991 * [taylor]: Taking taylor expansion of 1.0 in n 4.992 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.992 * [taylor]: Taking taylor expansion of 2.0 in n 4.993 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.993 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.993 * [taylor]: Taking taylor expansion of 1.0 in n 4.993 * [taylor]: Taking taylor expansion of (log n) in n 4.993 * [taylor]: Taking taylor expansion of n in n 5.051 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.051 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.051 * [taylor]: Taking taylor expansion of +nan.0 in n 5.051 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.051 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.051 * [taylor]: Taking taylor expansion of 0.5 in n 5.051 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.051 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.051 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.051 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.051 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.051 * [taylor]: Taking taylor expansion of 1.0 in n 5.051 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.051 * [taylor]: Taking taylor expansion of 2.0 in n 5.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.053 * [taylor]: Taking taylor expansion of 1.0 in n 5.053 * [taylor]: Taking taylor expansion of (log PI) in n 5.053 * [taylor]: Taking taylor expansion of PI in n 5.055 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.055 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.055 * [taylor]: Taking taylor expansion of 1.0 in n 5.055 * [taylor]: Taking taylor expansion of (log n) in n 5.055 * [taylor]: Taking taylor expansion of n in n 5.077 * [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)) 0.5))) in (k n) around 0 5.077 * [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)) 0.5))) in n 5.078 * [taylor]: Taking taylor expansion of 1.0 in n 5.078 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.078 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.078 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.078 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.078 * [taylor]: Taking taylor expansion of -1 in n 5.078 * [taylor]: Taking taylor expansion of k in n 5.078 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.078 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.078 * [taylor]: Taking taylor expansion of 0.5 in n 5.078 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.078 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.078 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.078 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.078 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.078 * [taylor]: Taking taylor expansion of 1.0 in n 5.078 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.078 * [taylor]: Taking taylor expansion of -2.0 in n 5.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.080 * [taylor]: Taking taylor expansion of 1.0 in n 5.080 * [taylor]: Taking taylor expansion of (log PI) in n 5.080 * [taylor]: Taking taylor expansion of PI in n 5.082 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.082 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.082 * [taylor]: Taking taylor expansion of 1.0 in n 5.082 * [taylor]: Taking taylor expansion of (log n) in n 5.082 * [taylor]: Taking taylor expansion of n in n 5.089 * [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)) 0.5))) in k 5.089 * [taylor]: Taking taylor expansion of 1.0 in k 5.089 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.089 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.089 * [taylor]: Taking taylor expansion of -1 in k 5.089 * [taylor]: Taking taylor expansion of k in k 5.091 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.091 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.091 * [taylor]: Taking taylor expansion of 0.5 in k 5.091 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.091 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.091 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.091 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.091 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.091 * [taylor]: Taking taylor expansion of 1.0 in k 5.091 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.091 * [taylor]: Taking taylor expansion of -2.0 in k 5.093 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.093 * [taylor]: Taking taylor expansion of 1.0 in k 5.093 * [taylor]: Taking taylor expansion of (log PI) in k 5.093 * [taylor]: Taking taylor expansion of PI in k 5.095 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.095 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.095 * [taylor]: Taking taylor expansion of 1.0 in k 5.095 * [taylor]: Taking taylor expansion of (log n) in k 5.095 * [taylor]: Taking taylor expansion of n in k 5.102 * [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)) 0.5))) in k 5.102 * [taylor]: Taking taylor expansion of 1.0 in k 5.102 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.102 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.102 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.102 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.102 * [taylor]: Taking taylor expansion of -1 in k 5.102 * [taylor]: Taking taylor expansion of k in k 5.104 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.104 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.104 * [taylor]: Taking taylor expansion of 0.5 in k 5.104 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.104 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.104 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.104 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.104 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.104 * [taylor]: Taking taylor expansion of 1.0 in k 5.104 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.104 * [taylor]: Taking taylor expansion of -2.0 in k 5.105 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.106 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.106 * [taylor]: Taking taylor expansion of 1.0 in k 5.106 * [taylor]: Taking taylor expansion of (log PI) in k 5.106 * [taylor]: Taking taylor expansion of PI in k 5.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.107 * [taylor]: Taking taylor expansion of 1.0 in k 5.108 * [taylor]: Taking taylor expansion of (log n) in k 5.108 * [taylor]: Taking taylor expansion of n in k 5.117 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.117 * [taylor]: Taking taylor expansion of +nan.0 in n 5.117 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.117 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.117 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.117 * [taylor]: Taking taylor expansion of 0.5 in n 5.117 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.117 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.117 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.117 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.117 * [taylor]: Taking taylor expansion of 1.0 in n 5.117 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.117 * [taylor]: Taking taylor expansion of -2.0 in n 5.119 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.119 * [taylor]: Taking taylor expansion of 1.0 in n 5.119 * [taylor]: Taking taylor expansion of (log PI) in n 5.119 * [taylor]: Taking taylor expansion of PI in n 5.121 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log n) in n 5.121 * [taylor]: Taking taylor expansion of n in n 5.151 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.151 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.151 * [taylor]: Taking taylor expansion of +nan.0 in n 5.151 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.151 * [taylor]: Taking taylor expansion of 0.5 in n 5.151 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.151 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.151 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.151 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.151 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.151 * [taylor]: Taking taylor expansion of 1.0 in n 5.151 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.151 * [taylor]: Taking taylor expansion of -2.0 in n 5.153 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.153 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.153 * [taylor]: Taking taylor expansion of 1.0 in n 5.153 * [taylor]: Taking taylor expansion of (log PI) in n 5.153 * [taylor]: Taking taylor expansion of PI in n 5.155 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.155 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.155 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.155 * [taylor]: Taking taylor expansion of 1.0 in n 5.155 * [taylor]: Taking taylor expansion of (log n) in n 5.155 * [taylor]: Taking taylor expansion of n in n 5.215 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.215 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.215 * [taylor]: Taking taylor expansion of +nan.0 in n 5.216 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.216 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.216 * [taylor]: Taking taylor expansion of 0.5 in n 5.216 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.216 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.216 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.216 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.216 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.216 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.216 * [taylor]: Taking taylor expansion of 1.0 in n 5.216 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.216 * [taylor]: Taking taylor expansion of -2.0 in n 5.217 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.218 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.218 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.218 * [taylor]: Taking taylor expansion of 1.0 in n 5.218 * [taylor]: Taking taylor expansion of (log PI) in n 5.218 * [taylor]: Taking taylor expansion of PI in n 5.219 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.219 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.219 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.220 * [taylor]: Taking taylor expansion of 1.0 in n 5.220 * [taylor]: Taking taylor expansion of (log n) in n 5.220 * [taylor]: Taking taylor expansion of n in n 5.235 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.235 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.235 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.235 * [taylor]: Taking taylor expansion of 1.0 in k 5.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.235 * [taylor]: Taking taylor expansion of k in k 5.236 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.236 * [taylor]: Taking taylor expansion of 1.0 in k 5.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.236 * [taylor]: Taking taylor expansion of k in k 5.247 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.248 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.248 * [taylor]: Taking taylor expansion of 1.0 in k 5.248 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.248 * [taylor]: Taking taylor expansion of k in k 5.249 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.249 * [taylor]: Taking taylor expansion of 1.0 in k 5.249 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.249 * [taylor]: Taking taylor expansion of k in k 5.265 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.265 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.266 * [taylor]: Taking taylor expansion of 1.0 in k 5.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.266 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.266 * [taylor]: Taking taylor expansion of -1 in k 5.267 * [taylor]: Taking taylor expansion of k in k 5.268 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.268 * [taylor]: Taking taylor expansion of 1.0 in k 5.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.268 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.268 * [taylor]: Taking taylor expansion of -1 in k 5.268 * [taylor]: Taking taylor expansion of k in k 5.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.280 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.280 * [taylor]: Taking taylor expansion of 2.0 in n 5.280 * [taylor]: Taking taylor expansion of (* n PI) in n 5.280 * [taylor]: Taking taylor expansion of n in n 5.280 * [taylor]: Taking taylor expansion of PI in n 5.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.280 * [taylor]: Taking taylor expansion of 2.0 in n 5.280 * [taylor]: Taking taylor expansion of (* n PI) in n 5.280 * [taylor]: Taking taylor expansion of n in n 5.280 * [taylor]: Taking taylor expansion of PI in n 5.293 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.293 * [taylor]: Taking taylor expansion of 2.0 in n 5.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.293 * [taylor]: Taking taylor expansion of PI in n 5.293 * [taylor]: Taking taylor expansion of n in n 5.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.294 * [taylor]: Taking taylor expansion of 2.0 in n 5.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.294 * [taylor]: Taking taylor expansion of PI in n 5.294 * [taylor]: Taking taylor expansion of n in n 5.302 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.303 * [taylor]: Taking taylor expansion of -2.0 in n 5.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.303 * [taylor]: Taking taylor expansion of PI in n 5.303 * [taylor]: Taking taylor expansion of n in n 5.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.303 * [taylor]: Taking taylor expansion of -2.0 in n 5.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.303 * [taylor]: Taking taylor expansion of PI in n 5.303 * [taylor]: Taking taylor expansion of n in n 5.312 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.312 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.312 * [taylor]: Taking taylor expansion of 2.0 in n 5.312 * [taylor]: Taking taylor expansion of (* n PI) in n 5.312 * [taylor]: Taking taylor expansion of n in n 5.312 * [taylor]: Taking taylor expansion of PI in n 5.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.312 * [taylor]: Taking taylor expansion of 2.0 in n 5.312 * [taylor]: Taking taylor expansion of (* n PI) in n 5.312 * [taylor]: Taking taylor expansion of n in n 5.312 * [taylor]: Taking taylor expansion of PI in n 5.325 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.325 * [taylor]: Taking taylor expansion of 2.0 in n 5.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.325 * [taylor]: Taking taylor expansion of PI in n 5.325 * [taylor]: Taking taylor expansion of n in n 5.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.325 * [taylor]: Taking taylor expansion of 2.0 in n 5.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.325 * [taylor]: Taking taylor expansion of PI in n 5.325 * [taylor]: Taking taylor expansion of n in n 5.334 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.334 * [taylor]: Taking taylor expansion of -2.0 in n 5.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.334 * [taylor]: Taking taylor expansion of PI in n 5.334 * [taylor]: Taking taylor expansion of n in n 5.335 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.335 * [taylor]: Taking taylor expansion of -2.0 in n 5.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.335 * [taylor]: Taking taylor expansion of PI in n 5.335 * [taylor]: Taking taylor expansion of n in n 5.349 * * * [progress]: simplifying candidates 5.351 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 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)))) (* (* (* (/ 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 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 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))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.359 * * [simplify]: iteration 0 : 590 enodes (cost 1020 ) 5.370 * * [simplify]: iteration 1 : 2449 enodes (cost 915 ) 5.415 * * [simplify]: iteration 2 : 5001 enodes (cost 905 ) 5.420 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 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))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 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) (* 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))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 (pow k 3)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 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)) 5.421 * * * [progress]: adding candidates to table 5.735 * [progress]: [Phase 3 of 3] Extracting. 5.735 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.738 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.738 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 5.786 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 5.834 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 5.882 * * * [regime]: Found split indices: #