13.761 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.167 * * * [progress]: [2/2] Setting up program. 0.170 * [progress]: [Phase 2 of 3] Improving. 0.170 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.173 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.174 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.176 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.179 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.184 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.208 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.209 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.209 * * [progress]: iteration 1 / 4 0.209 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.240 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.249 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.267 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.267 * [taylor]: Taking taylor expansion of 0.5 in k 0.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.267 * [taylor]: Taking taylor expansion of 1.0 in k 0.267 * [taylor]: Taking taylor expansion of k in k 0.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.267 * [taylor]: Taking taylor expansion of 2.0 in k 0.267 * [taylor]: Taking taylor expansion of (* n PI) in k 0.267 * [taylor]: Taking taylor expansion of n in k 0.267 * [taylor]: Taking taylor expansion of PI in k 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.269 * [taylor]: Taking taylor expansion of 0.5 in n 0.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.269 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [taylor]: Taking taylor expansion of k in n 0.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.269 * [taylor]: Taking taylor expansion of (* n PI) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.274 * [taylor]: Taking taylor expansion of 0.5 in n 0.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of k in n 0.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.275 * [taylor]: Taking taylor expansion of 2.0 in n 0.275 * [taylor]: Taking taylor expansion of (* n PI) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.281 * [taylor]: Taking taylor expansion of 0.5 in k 0.281 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.281 * [taylor]: Taking taylor expansion of 2.0 in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.282 * [taylor]: Taking taylor expansion of (log n) in k 0.282 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.333 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.333 * [taylor]: Taking taylor expansion of 0.5 in k 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.334 * [taylor]: Taking taylor expansion of 2.0 in k 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.334 * [taylor]: Taking taylor expansion of PI in k 0.334 * [taylor]: Taking taylor expansion of n in k 0.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.335 * [taylor]: Taking taylor expansion of 0.5 in n 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.335 * [taylor]: Taking taylor expansion of 1.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.335 * [taylor]: Taking taylor expansion of k in n 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.335 * [taylor]: Taking taylor expansion of 2.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.339 * [taylor]: Taking taylor expansion of 0.5 in n 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.339 * [taylor]: Taking taylor expansion of 1.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.339 * [taylor]: Taking taylor expansion of k in n 0.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.339 * [taylor]: Taking taylor expansion of 2.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.339 * [taylor]: Taking taylor expansion of PI in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.343 * [taylor]: Taking taylor expansion of 0.5 in k 0.343 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.343 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.343 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.343 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.343 * [taylor]: Taking taylor expansion of 2.0 in k 0.343 * [taylor]: Taking taylor expansion of PI in k 0.344 * [taylor]: Taking taylor expansion of (log n) in k 0.344 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.354 * [taylor]: Taking taylor expansion of 0 in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.371 * [taylor]: Taking taylor expansion of 0 in k 0.372 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.373 * [taylor]: Taking taylor expansion of 0.5 in k 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.373 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of 1.0 in k 0.373 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.373 * [taylor]: Taking taylor expansion of -2.0 in k 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.373 * [taylor]: Taking taylor expansion of PI in k 0.373 * [taylor]: Taking taylor expansion of n in k 0.374 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.374 * [taylor]: Taking taylor expansion of 0.5 in n 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.374 * [taylor]: Taking taylor expansion of k in n 0.374 * [taylor]: Taking taylor expansion of 1.0 in n 0.374 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.374 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.374 * [taylor]: Taking taylor expansion of -2.0 in n 0.374 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.374 * [taylor]: Taking taylor expansion of PI in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.378 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.378 * [taylor]: Taking taylor expansion of 0.5 in n 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.378 * [taylor]: Taking taylor expansion of k in n 0.378 * [taylor]: Taking taylor expansion of 1.0 in n 0.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.378 * [taylor]: Taking taylor expansion of -2.0 in n 0.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.378 * [taylor]: Taking taylor expansion of PI in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.382 * [taylor]: Taking taylor expansion of 0.5 in k 0.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.383 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.383 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.383 * [taylor]: Taking taylor expansion of -2.0 in k 0.383 * [taylor]: Taking taylor expansion of PI in k 0.384 * [taylor]: Taking taylor expansion of (log n) in k 0.384 * [taylor]: Taking taylor expansion of n in k 0.393 * [taylor]: Taking taylor expansion of 0 in k 0.400 * [taylor]: Taking taylor expansion of 0 in k 0.409 * [taylor]: Taking taylor expansion of 0 in k 0.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.410 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.410 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (* n PI) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.410 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (* n PI) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.429 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.429 * [taylor]: Taking taylor expansion of 2.0 in n 0.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.429 * [taylor]: Taking taylor expansion of PI in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of 2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.439 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of -2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.439 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.440 * [taylor]: Taking taylor expansion of -2.0 in n 0.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.449 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.451 * [taylor]: Taking taylor expansion of k in k 0.462 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.463 * [taylor]: Taking taylor expansion of 1.0 in k 0.463 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.463 * [taylor]: Taking taylor expansion of k in k 0.474 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.474 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.474 * [taylor]: Taking taylor expansion of 1.0 in k 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.474 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.474 * [taylor]: Taking taylor expansion of -1 in k 0.474 * [taylor]: Taking taylor expansion of k in k 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.476 * [taylor]: Taking taylor expansion of 1.0 in k 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.476 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.476 * [taylor]: Taking taylor expansion of -1 in k 0.476 * [taylor]: Taking taylor expansion of k in k 0.492 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.494 * [taylor]: Taking taylor expansion of (* n PI) in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.494 * [taylor]: Taking taylor expansion of PI in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.499 * [taylor]: Taking taylor expansion of 1.0 in k 0.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.499 * [taylor]: Taking taylor expansion of k in k 0.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.501 * [taylor]: Taking taylor expansion of 0.5 in k 0.501 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.501 * [taylor]: Taking taylor expansion of 1.0 in k 0.501 * [taylor]: Taking taylor expansion of k in k 0.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.501 * [taylor]: Taking taylor expansion of 2.0 in k 0.501 * [taylor]: Taking taylor expansion of (* n PI) in k 0.501 * [taylor]: Taking taylor expansion of n in k 0.501 * [taylor]: Taking taylor expansion of PI in k 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.502 * [taylor]: Taking taylor expansion of 1.0 in k 0.502 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.502 * [taylor]: Taking taylor expansion of k in k 0.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.503 * [taylor]: Taking taylor expansion of 0.5 in k 0.503 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.503 * [taylor]: Taking taylor expansion of 1.0 in k 0.503 * [taylor]: Taking taylor expansion of k in k 0.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.503 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.503 * [taylor]: Taking taylor expansion of 2.0 in k 0.503 * [taylor]: Taking taylor expansion of (* n PI) in k 0.504 * [taylor]: Taking taylor expansion of n in k 0.504 * [taylor]: Taking taylor expansion of PI in k 0.505 * [taylor]: Taking taylor expansion of 0 in n 0.518 * [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 0.518 * [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 0.518 * [taylor]: Taking taylor expansion of +nan.0 in n 0.518 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.519 * [taylor]: Taking taylor expansion of 0.5 in n 0.519 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.519 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log PI) in n 0.519 * [taylor]: Taking taylor expansion of PI in n 0.521 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log n) in n 0.521 * [taylor]: Taking taylor expansion of n in n 0.521 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.521 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [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 0.542 * [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 0.542 * [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 0.542 * [taylor]: Taking taylor expansion of +nan.0 in n 0.542 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.542 * [taylor]: Taking taylor expansion of 0.5 in n 0.542 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log PI) in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log n) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.545 * [taylor]: Taking taylor expansion of 2.0 in n 0.550 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.550 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.550 * [taylor]: Taking taylor expansion of +nan.0 in n 0.550 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.550 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.550 * [taylor]: Taking taylor expansion of 0.5 in n 0.550 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.550 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.550 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.550 * [taylor]: Taking taylor expansion of 1.0 in n 0.550 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.550 * [taylor]: Taking taylor expansion of 2.0 in n 0.552 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.552 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of (log PI) in n 0.552 * [taylor]: Taking taylor expansion of PI in n 0.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log n) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.558 * [taylor]: Taking taylor expansion of 2.0 in n 0.558 * [taylor]: Taking taylor expansion of (* n PI) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.558 * [taylor]: Taking taylor expansion of PI in n 0.616 * [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 0.616 * [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 0.616 * [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 0.616 * [taylor]: Taking taylor expansion of +nan.0 in n 0.616 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.616 * [taylor]: Taking taylor expansion of 0.5 in n 0.616 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.616 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.616 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.618 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.618 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.618 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of (log n) in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log PI) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.624 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (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 0.625 * [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 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of +nan.0 in n 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.625 * [taylor]: Taking taylor expansion of 0.5 in n 0.625 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log PI) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log n) in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (* n PI) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.636 * [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 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of +nan.0 in n 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.637 * [taylor]: Taking taylor expansion of 2.0 in n 0.638 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.638 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.638 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (log PI) in n 0.639 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (log n) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.645 * [taylor]: Taking taylor expansion of 2.0 in n 0.645 * [taylor]: Taking taylor expansion of (* n PI) in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of PI in n 0.727 * [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 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.728 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.728 * [taylor]: Taking taylor expansion of 0.5 in n 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.728 * [taylor]: Taking taylor expansion of 2.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.728 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.732 * [taylor]: Taking taylor expansion of 1.0 in k 0.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.732 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.733 * [taylor]: Taking taylor expansion of 0.5 in k 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.733 * [taylor]: Taking taylor expansion of 1.0 in k 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.733 * [taylor]: Taking taylor expansion of k in k 0.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.734 * [taylor]: Taking taylor expansion of 2.0 in k 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.734 * [taylor]: Taking taylor expansion of PI in k 0.734 * [taylor]: Taking taylor expansion of n in k 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.735 * [taylor]: Taking taylor expansion of 1.0 in k 0.735 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.735 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.735 * [taylor]: Taking taylor expansion of k in k 0.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.736 * [taylor]: Taking taylor expansion of 0.5 in k 0.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.736 * [taylor]: Taking taylor expansion of 1.0 in k 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.736 * [taylor]: Taking taylor expansion of k in k 0.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.736 * [taylor]: Taking taylor expansion of 2.0 in k 0.736 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.736 * [taylor]: Taking taylor expansion of PI in k 0.736 * [taylor]: Taking taylor expansion of n in k 0.738 * [taylor]: Taking taylor expansion of 0 in n 0.739 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.739 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.739 * [taylor]: Taking taylor expansion of +nan.0 in n 0.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.739 * [taylor]: Taking taylor expansion of 0.5 in n 0.739 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) 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 0.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.740 * [taylor]: Taking taylor expansion of 1.0 in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.740 * [taylor]: Taking taylor expansion of k in n 0.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.749 * [taylor]: Taking taylor expansion of +nan.0 in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.749 * [taylor]: Taking taylor expansion of 0.5 in n 0.749 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.749 * [taylor]: Taking taylor expansion of 2.0 in n 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.749 * [taylor]: Taking taylor expansion of n in n 0.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.750 * [taylor]: Taking taylor expansion of 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 0.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.768 * [taylor]: Taking taylor expansion of +nan.0 in n 0.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.768 * [taylor]: Taking taylor expansion of 0.5 in n 0.768 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.768 * [taylor]: Taking taylor expansion of 2.0 in n 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.768 * [taylor]: Taking taylor expansion of PI in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.770 * [taylor]: Taking taylor expansion of 1.0 in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.779 * [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 0.779 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.779 * [taylor]: Taking taylor expansion of 1.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.779 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 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 (+ (/ 1 k) 1.0)) in n 0.779 * [taylor]: Taking taylor expansion of 0.5 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 0.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.783 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.783 * [taylor]: Taking taylor expansion of -1 in n 0.783 * [taylor]: Taking taylor expansion of k in n 0.784 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.784 * [taylor]: Taking taylor expansion of 1.0 in k 0.784 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.784 * [taylor]: Taking taylor expansion of 0.5 in k 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.784 * [taylor]: Taking taylor expansion of k in k 0.784 * [taylor]: Taking taylor expansion of 1.0 in k 0.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.784 * [taylor]: Taking taylor expansion of -2.0 in k 0.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.784 * [taylor]: Taking taylor expansion of PI in k 0.784 * [taylor]: Taking taylor expansion of n in k 0.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.785 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.785 * [taylor]: Taking taylor expansion of -1 in k 0.785 * [taylor]: Taking taylor expansion of k in k 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.787 * [taylor]: Taking taylor expansion of 1.0 in k 0.787 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.787 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.787 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.787 * [taylor]: Taking taylor expansion of 0.5 in k 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.787 * [taylor]: Taking taylor expansion of k in k 0.787 * [taylor]: Taking taylor expansion of 1.0 in k 0.787 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.787 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.787 * [taylor]: Taking taylor expansion of -2.0 in k 0.787 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.787 * [taylor]: Taking taylor expansion of PI in k 0.787 * [taylor]: Taking taylor expansion of n in k 0.788 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.788 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.788 * [taylor]: Taking taylor expansion of -1 in k 0.788 * [taylor]: Taking taylor expansion of k in k 0.790 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.790 * [taylor]: Taking taylor expansion of +nan.0 in n 0.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.790 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.790 * [taylor]: Taking taylor expansion of 0.5 in n 0.790 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.796 * [taylor]: Taking taylor expansion of k in n 0.796 * [taylor]: Taking taylor expansion of 1.0 in n 0.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.796 * [taylor]: Taking taylor expansion of -2.0 in n 0.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.807 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.807 * [taylor]: Taking taylor expansion of +nan.0 in n 0.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.807 * [taylor]: Taking taylor expansion of 0.5 in n 0.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.807 * [taylor]: Taking taylor expansion of k in n 0.807 * [taylor]: Taking taylor expansion of 1.0 in n 0.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.807 * [taylor]: Taking taylor expansion of -2.0 in n 0.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.825 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.825 * [taylor]: Taking taylor expansion of +nan.0 in n 0.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.825 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.825 * [taylor]: Taking taylor expansion of 0.5 in n 0.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.825 * [taylor]: Taking taylor expansion of k in n 0.825 * [taylor]: Taking taylor expansion of 1.0 in n 0.825 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.825 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.825 * [taylor]: Taking taylor expansion of -2.0 in n 0.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.825 * [taylor]: Taking taylor expansion of PI in n 0.825 * [taylor]: Taking taylor expansion of n in n 0.835 * * * [progress]: simplifying candidates 0.838 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.939 * * * [progress]: adding candidates to table 1.494 * * [progress]: iteration 2 / 4 1.494 * * * [progress]: picking best candidate 1.519 * * * * [pick]: Picked # 1.519 * * * [progress]: localizing error 1.539 * * * [progress]: generating rewritten candidates 1.539 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.549 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.559 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.573 * * * [progress]: generating series expansions 1.573 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.574 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.574 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.574 * [taylor]: Taking taylor expansion of 2.0 in n 1.574 * [taylor]: Taking taylor expansion of (* n PI) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.574 * [taylor]: Taking taylor expansion of PI in n 1.574 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.574 * [taylor]: Taking taylor expansion of 2.0 in n 1.574 * [taylor]: Taking taylor expansion of (* n PI) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.574 * [taylor]: Taking taylor expansion of PI in n 1.587 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.587 * [taylor]: Taking taylor expansion of 2.0 in n 1.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.587 * [taylor]: Taking taylor expansion of 2.0 in n 1.587 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.597 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.597 * [taylor]: Taking taylor expansion of -2.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.597 * [taylor]: Taking taylor expansion of -2.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.607 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.607 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (* n PI) in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (* n PI) in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.620 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.630 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.630 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of -2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.631 * [taylor]: Taking taylor expansion of -2.0 in n 1.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.631 * [taylor]: Taking taylor expansion of PI in n 1.631 * [taylor]: Taking taylor expansion of n in n 1.640 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.641 * [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 1.641 * [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 1.641 * [taylor]: Taking taylor expansion of 1.0 in k 1.641 * [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 1.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.641 * [taylor]: Taking taylor expansion of k in k 1.642 * [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 1.642 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.642 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.642 * [taylor]: Taking taylor expansion of 0.5 in k 1.642 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.643 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.643 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.643 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.643 * [taylor]: Taking taylor expansion of 1.0 in k 1.643 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.643 * [taylor]: Taking taylor expansion of 2.0 in k 1.644 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.644 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.644 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of (log n) in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.645 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.645 * [taylor]: Taking taylor expansion of 1.0 in k 1.645 * [taylor]: Taking taylor expansion of (log PI) in k 1.645 * [taylor]: Taking taylor expansion of PI in k 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.654 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.654 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.654 * [taylor]: Taking taylor expansion of 0.5 in k 1.654 * [taylor]: Taking taylor expansion of k in k 1.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.654 * [taylor]: Taking taylor expansion of 2.0 in k 1.654 * [taylor]: Taking taylor expansion of (* n PI) in k 1.654 * [taylor]: Taking taylor expansion of n in k 1.654 * [taylor]: Taking taylor expansion of PI in k 1.657 * [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 1.657 * [taylor]: Taking taylor expansion of 1.0 in n 1.657 * [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 1.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.657 * [taylor]: Taking taylor expansion of k in n 1.657 * [taylor]: Taking taylor expansion of (* (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 1.657 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.657 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.657 * [taylor]: Taking taylor expansion of 0.5 in n 1.657 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.657 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.657 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.657 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.657 * [taylor]: Taking taylor expansion of 1.0 in n 1.657 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.657 * [taylor]: Taking taylor expansion of 2.0 in n 1.659 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.659 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.659 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.659 * [taylor]: Taking taylor expansion of 1.0 in n 1.659 * [taylor]: Taking taylor expansion of (log n) in n 1.659 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (log PI) in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.666 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.666 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.666 * [taylor]: Taking taylor expansion of 2.0 in n 1.666 * [taylor]: Taking taylor expansion of (* n PI) in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.672 * [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 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [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 1.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.672 * [taylor]: Taking taylor expansion of k in n 1.672 * [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 1.672 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.672 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.672 * [taylor]: Taking taylor expansion of 0.5 in n 1.672 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.672 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.672 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.672 * [taylor]: Taking taylor expansion of 2.0 in n 1.674 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.674 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.674 * [taylor]: Taking taylor expansion of 1.0 in n 1.674 * [taylor]: Taking taylor expansion of (log n) in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.675 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.675 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.675 * [taylor]: Taking taylor expansion of 1.0 in n 1.675 * [taylor]: Taking taylor expansion of (log PI) in n 1.675 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.680 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.680 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.680 * [taylor]: Taking taylor expansion of 0.5 in n 1.680 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.681 * [taylor]: Taking taylor expansion of (* n PI) in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.692 * [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 1.692 * [taylor]: Taking taylor expansion of 1.0 in k 1.692 * [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 1.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.692 * [taylor]: Taking taylor expansion of k in k 1.693 * [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 1.693 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.693 * [taylor]: Taking taylor expansion of 0.5 in k 1.693 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.693 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.693 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.693 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.693 * [taylor]: Taking taylor expansion of 1.0 in k 1.693 * [taylor]: Taking taylor expansion of (log PI) in k 1.693 * [taylor]: Taking taylor expansion of PI in k 1.695 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.695 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.695 * [taylor]: Taking taylor expansion of (log n) in k 1.695 * [taylor]: Taking taylor expansion of n in k 1.695 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.695 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.696 * [taylor]: Taking taylor expansion of 2.0 in k 1.701 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.701 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.701 * [taylor]: Taking taylor expansion of 0.5 in k 1.701 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.701 * [taylor]: Taking taylor expansion of k in k 1.701 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.701 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.701 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.701 * [taylor]: Taking taylor expansion of 2.0 in k 1.701 * [taylor]: Taking taylor expansion of PI in k 1.702 * [taylor]: Taking taylor expansion of (log n) in k 1.702 * [taylor]: Taking taylor expansion of n in k 1.733 * [taylor]: Taking taylor expansion of 0 in k 1.790 * [taylor]: Taking taylor expansion of 0 in k 1.892 * [taylor]: Taking taylor expansion of 0 in k 2.017 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 2.017 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.017 * [taylor]: Taking taylor expansion of 1.0 in k 2.017 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.017 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.017 * [taylor]: Taking taylor expansion of k in k 2.018 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.018 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.018 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.018 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.018 * [taylor]: Taking taylor expansion of 0.5 in k 2.018 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.018 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.018 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.018 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.018 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.018 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.018 * [taylor]: Taking taylor expansion of 1.0 in k 2.018 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.018 * [taylor]: Taking taylor expansion of 2.0 in k 2.020 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.020 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.020 * [taylor]: Taking taylor expansion of 1.0 in k 2.020 * [taylor]: Taking taylor expansion of (log PI) in k 2.020 * [taylor]: Taking taylor expansion of PI in k 2.022 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.022 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.022 * [taylor]: Taking taylor expansion of 1.0 in k 2.023 * [taylor]: Taking taylor expansion of (log n) in k 2.023 * [taylor]: Taking taylor expansion of n in k 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.029 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.029 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.029 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.029 * [taylor]: Taking taylor expansion of 0.5 in k 2.029 * [taylor]: Taking taylor expansion of k in k 2.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.030 * [taylor]: Taking taylor expansion of 2.0 in k 2.030 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.030 * [taylor]: Taking taylor expansion of PI in k 2.030 * [taylor]: Taking taylor expansion of n in k 2.030 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.030 * [taylor]: Taking taylor expansion of 1.0 in n 2.030 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.030 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.030 * [taylor]: Taking taylor expansion of k in n 2.030 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.030 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.030 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.030 * [taylor]: Taking taylor expansion of 0.5 in n 2.030 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.030 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.030 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.030 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.030 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.030 * [taylor]: Taking taylor expansion of 1.0 in n 2.030 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.030 * [taylor]: Taking taylor expansion of 2.0 in n 2.032 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.032 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.032 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.032 * [taylor]: Taking taylor expansion of 1.0 in n 2.032 * [taylor]: Taking taylor expansion of (log PI) in n 2.032 * [taylor]: Taking taylor expansion of PI in n 2.034 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.034 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.034 * [taylor]: Taking taylor expansion of 1.0 in n 2.034 * [taylor]: Taking taylor expansion of (log n) in n 2.034 * [taylor]: Taking taylor expansion of n in n 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.041 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.041 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.041 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.041 * [taylor]: Taking taylor expansion of 0.5 in n 2.042 * [taylor]: Taking taylor expansion of k in n 2.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.042 * [taylor]: Taking taylor expansion of 2.0 in n 2.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.042 * [taylor]: Taking taylor expansion of PI in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.046 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.046 * [taylor]: Taking taylor expansion of 1.0 in n 2.046 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.046 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.046 * [taylor]: Taking taylor expansion of k in n 2.046 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.046 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.046 * [taylor]: Taking taylor expansion of 0.5 in n 2.046 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.046 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.046 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.046 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.046 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.046 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.046 * [taylor]: Taking taylor expansion of 1.0 in n 2.046 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.046 * [taylor]: Taking taylor expansion of 2.0 in n 2.048 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.048 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.048 * [taylor]: Taking taylor expansion of 1.0 in n 2.048 * [taylor]: Taking taylor expansion of (log PI) in n 2.048 * [taylor]: Taking taylor expansion of PI in n 2.050 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.050 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.050 * [taylor]: Taking taylor expansion of (log n) in n 2.050 * [taylor]: Taking taylor expansion of n in n 2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.058 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.058 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.058 * [taylor]: Taking taylor expansion of 0.5 in n 2.058 * [taylor]: Taking taylor expansion of k in n 2.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.058 * [taylor]: Taking taylor expansion of 2.0 in n 2.058 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.058 * [taylor]: Taking taylor expansion of PI in n 2.058 * [taylor]: Taking taylor expansion of n in n 2.068 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 2.068 * [taylor]: Taking taylor expansion of 1.0 in k 2.068 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.068 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.068 * [taylor]: Taking taylor expansion of k in k 2.070 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.070 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.070 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.070 * [taylor]: Taking taylor expansion of 0.5 in k 2.070 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.070 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.070 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.070 * [taylor]: Taking taylor expansion of 1.0 in k 2.070 * [taylor]: Taking taylor expansion of (log PI) in k 2.070 * [taylor]: Taking taylor expansion of PI in k 2.072 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.072 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.072 * [taylor]: Taking taylor expansion of 1.0 in k 2.072 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.072 * [taylor]: Taking taylor expansion of 2.0 in k 2.074 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.074 * [taylor]: Taking taylor expansion of 1.0 in k 2.074 * [taylor]: Taking taylor expansion of (log n) in k 2.074 * [taylor]: Taking taylor expansion of n in k 2.081 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.081 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.081 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.081 * [taylor]: Taking taylor expansion of 0.5 in k 2.081 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.081 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.081 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.081 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.081 * [taylor]: Taking taylor expansion of 2.0 in k 2.081 * [taylor]: Taking taylor expansion of PI in k 2.082 * [taylor]: Taking taylor expansion of (log n) in k 2.082 * [taylor]: Taking taylor expansion of n in k 2.082 * [taylor]: Taking taylor expansion of k in k 2.122 * [taylor]: Taking taylor expansion of 0 in k 2.181 * [taylor]: Taking taylor expansion of 0 in k 2.267 * [taylor]: Taking taylor expansion of 0 in k 2.327 * [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 2.327 * [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 2.327 * [taylor]: Taking taylor expansion of 1.0 in k 2.327 * [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 2.327 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.327 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.327 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.327 * [taylor]: Taking taylor expansion of -1 in k 2.327 * [taylor]: Taking taylor expansion of k in k 2.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.329 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.329 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.329 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.329 * [taylor]: Taking taylor expansion of -0.5 in k 2.329 * [taylor]: Taking taylor expansion of k in k 2.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.329 * [taylor]: Taking taylor expansion of -2.0 in k 2.329 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.329 * [taylor]: Taking taylor expansion of PI in k 2.329 * [taylor]: Taking taylor expansion of n in k 2.330 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.330 * [taylor]: Taking taylor expansion of 0.5 in k 2.330 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.330 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.330 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.330 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.330 * [taylor]: Taking taylor expansion of 1.0 in k 2.330 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.330 * [taylor]: Taking taylor expansion of -2.0 in k 2.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.332 * [taylor]: Taking taylor expansion of 1.0 in k 2.332 * [taylor]: Taking taylor expansion of (log PI) in k 2.332 * [taylor]: Taking taylor expansion of PI in k 2.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.334 * [taylor]: Taking taylor expansion of 1.0 in k 2.334 * [taylor]: Taking taylor expansion of (log n) in k 2.334 * [taylor]: Taking taylor expansion of n in k 2.341 * [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 2.341 * [taylor]: Taking taylor expansion of 1.0 in n 2.341 * [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 2.341 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.341 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.341 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.341 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.341 * [taylor]: Taking taylor expansion of -1 in n 2.341 * [taylor]: Taking taylor expansion of k in n 2.342 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.342 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.342 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.342 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.342 * [taylor]: Taking taylor expansion of -0.5 in n 2.342 * [taylor]: Taking taylor expansion of k in n 2.342 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.342 * [taylor]: Taking taylor expansion of -2.0 in n 2.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.342 * [taylor]: Taking taylor expansion of PI in n 2.342 * [taylor]: Taking taylor expansion of n in n 2.347 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.347 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.347 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.347 * [taylor]: Taking taylor expansion of 0.5 in n 2.347 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.347 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.347 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.347 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.347 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.347 * [taylor]: Taking taylor expansion of 1.0 in n 2.347 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.347 * [taylor]: Taking taylor expansion of -2.0 in n 2.349 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.349 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.349 * [taylor]: Taking taylor expansion of 1.0 in n 2.349 * [taylor]: Taking taylor expansion of (log PI) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.351 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.351 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.351 * [taylor]: Taking taylor expansion of 1.0 in n 2.351 * [taylor]: Taking taylor expansion of (log n) in n 2.351 * [taylor]: Taking taylor expansion of n in n 2.358 * [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 2.358 * [taylor]: Taking taylor expansion of 1.0 in n 2.358 * [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 2.358 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.358 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.358 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.358 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.358 * [taylor]: Taking taylor expansion of -1 in n 2.358 * [taylor]: Taking taylor expansion of k in n 2.358 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.358 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.358 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.358 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.358 * [taylor]: Taking taylor expansion of -0.5 in n 2.358 * [taylor]: Taking taylor expansion of k in n 2.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.358 * [taylor]: Taking taylor expansion of -2.0 in n 2.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.358 * [taylor]: Taking taylor expansion of PI in n 2.359 * [taylor]: Taking taylor expansion of n in n 2.364 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.364 * [taylor]: Taking taylor expansion of 0.5 in n 2.364 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.364 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.364 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.364 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.364 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.364 * [taylor]: Taking taylor expansion of 1.0 in n 2.364 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.364 * [taylor]: Taking taylor expansion of -2.0 in n 2.366 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.366 * [taylor]: Taking taylor expansion of 1.0 in n 2.366 * [taylor]: Taking taylor expansion of (log PI) in n 2.366 * [taylor]: Taking taylor expansion of PI in n 2.368 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.368 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.368 * [taylor]: Taking taylor expansion of 1.0 in n 2.368 * [taylor]: Taking taylor expansion of (log n) in n 2.368 * [taylor]: Taking taylor expansion of n in n 2.385 * [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 2.385 * [taylor]: Taking taylor expansion of 1.0 in k 2.385 * [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 2.385 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.385 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.385 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.385 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.385 * [taylor]: Taking taylor expansion of -0.5 in k 2.386 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.386 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.386 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.386 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.386 * [taylor]: Taking taylor expansion of -2.0 in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.387 * [taylor]: Taking taylor expansion of (log n) in k 2.387 * [taylor]: Taking taylor expansion of n in k 2.387 * [taylor]: Taking taylor expansion of k in k 2.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.390 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.390 * [taylor]: Taking taylor expansion of -1 in k 2.390 * [taylor]: Taking taylor expansion of k in k 2.394 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.394 * [taylor]: Taking taylor expansion of 0.5 in k 2.394 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.394 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.394 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.394 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.394 * [taylor]: Taking taylor expansion of 1.0 in k 2.394 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.394 * [taylor]: Taking taylor expansion of -2.0 in k 2.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.396 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.396 * [taylor]: Taking taylor expansion of 1.0 in k 2.396 * [taylor]: Taking taylor expansion of (log PI) in k 2.396 * [taylor]: Taking taylor expansion of PI in k 2.398 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.398 * [taylor]: Taking taylor expansion of 1.0 in k 2.398 * [taylor]: Taking taylor expansion of (log n) in k 2.398 * [taylor]: Taking taylor expansion of n in k 2.435 * [taylor]: Taking taylor expansion of 0 in k 2.504 * [taylor]: Taking taylor expansion of 0 in k 2.557 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.558 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.558 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.558 * [taylor]: Taking taylor expansion of 0.5 in n 2.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.558 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.558 * [taylor]: Taking taylor expansion of 2.0 in n 2.558 * [taylor]: Taking taylor expansion of (* n PI) in n 2.558 * [taylor]: Taking taylor expansion of n in n 2.558 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.563 * [taylor]: Taking taylor expansion of 2.0 in n 2.563 * [taylor]: Taking taylor expansion of (* n PI) in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.651 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.651 * [taylor]: Taking taylor expansion of 0.5 in n 2.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.651 * [taylor]: Taking taylor expansion of 2.0 in n 2.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.651 * [taylor]: Taking taylor expansion of PI in n 2.651 * [taylor]: Taking taylor expansion of n in n 2.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.654 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.654 * [taylor]: Taking taylor expansion of 0.5 in n 2.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.654 * [taylor]: Taking taylor expansion of 2.0 in n 2.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.654 * [taylor]: Taking taylor expansion of PI in n 2.655 * [taylor]: Taking taylor expansion of n in n 2.737 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.737 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.737 * [taylor]: Taking taylor expansion of 0.5 in n 2.737 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.737 * [taylor]: Taking taylor expansion of -2.0 in n 2.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.737 * [taylor]: Taking taylor expansion of PI in n 2.737 * [taylor]: Taking taylor expansion of n in n 2.741 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.741 * [taylor]: Taking taylor expansion of 0.5 in n 2.741 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.741 * [taylor]: Taking taylor expansion of -2.0 in n 2.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.824 * * * [progress]: simplifying candidates 2.826 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) 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(pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.928 * * * [progress]: adding candidates to table 3.175 * * [progress]: iteration 3 / 4 3.175 * * * [progress]: picking best candidate 3.202 * * * * [pick]: Picked # 3.202 * * * [progress]: localizing error 3.222 * * * [progress]: generating rewritten candidates 3.222 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.232 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.236 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.274 * * * [progress]: generating series expansions 3.274 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.274 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.274 * [taylor]: Taking taylor expansion of 2.0 in n 3.274 * [taylor]: Taking taylor expansion of (* n PI) in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.274 * [taylor]: Taking taylor expansion of PI in n 3.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.274 * [taylor]: Taking taylor expansion of 2.0 in n 3.275 * [taylor]: Taking taylor expansion of (* n PI) in n 3.275 * [taylor]: Taking taylor expansion of n in n 3.275 * [taylor]: Taking taylor expansion of PI in n 3.287 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.288 * [taylor]: Taking taylor expansion of 2.0 in n 3.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.288 * [taylor]: Taking taylor expansion of PI in n 3.288 * [taylor]: Taking taylor expansion of n in n 3.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.288 * [taylor]: Taking taylor expansion of 2.0 in n 3.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.288 * [taylor]: Taking taylor expansion of PI in n 3.288 * [taylor]: Taking taylor expansion of n in n 3.297 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.297 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.297 * [taylor]: Taking taylor expansion of -2.0 in n 3.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.297 * [taylor]: Taking taylor expansion of PI in n 3.297 * [taylor]: Taking taylor expansion of n in n 3.298 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.298 * [taylor]: Taking taylor expansion of -2.0 in n 3.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.298 * [taylor]: Taking taylor expansion of PI in n 3.298 * [taylor]: Taking taylor expansion of n in n 3.306 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.307 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.307 * [taylor]: Taking taylor expansion of 2.0 in n 3.307 * [taylor]: Taking taylor expansion of (* n PI) in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.307 * [taylor]: Taking taylor expansion of PI in n 3.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.307 * [taylor]: Taking taylor expansion of 2.0 in n 3.307 * [taylor]: Taking taylor expansion of (* n PI) in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.307 * [taylor]: Taking taylor expansion of PI in n 3.320 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.320 * [taylor]: Taking taylor expansion of 2.0 in n 3.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.320 * [taylor]: Taking taylor expansion of PI in n 3.320 * [taylor]: Taking taylor expansion of n in n 3.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.320 * [taylor]: Taking taylor expansion of 2.0 in n 3.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.321 * [taylor]: Taking taylor expansion of PI in n 3.321 * [taylor]: Taking taylor expansion of n in n 3.337 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.337 * [taylor]: Taking taylor expansion of -2.0 in n 3.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.337 * [taylor]: Taking taylor expansion of PI in n 3.337 * [taylor]: Taking taylor expansion of n in n 3.338 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.338 * [taylor]: Taking taylor expansion of -2.0 in n 3.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.338 * [taylor]: Taking taylor expansion of PI in n 3.338 * [taylor]: Taking taylor expansion of n in n 3.346 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.346 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.346 * [taylor]: Taking taylor expansion of 1.0 in k 3.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.346 * [taylor]: Taking taylor expansion of k in k 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.348 * [taylor]: Taking taylor expansion of 1.0 in k 3.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.348 * [taylor]: Taking taylor expansion of k in k 3.359 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.359 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.359 * [taylor]: Taking taylor expansion of 1.0 in k 3.359 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.359 * [taylor]: Taking taylor expansion of k in k 3.360 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.360 * [taylor]: Taking taylor expansion of 1.0 in k 3.360 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.360 * [taylor]: Taking taylor expansion of k in k 3.371 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.371 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.371 * [taylor]: Taking taylor expansion of 1.0 in k 3.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.371 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.371 * [taylor]: Taking taylor expansion of -1 in k 3.371 * [taylor]: Taking taylor expansion of k in k 3.372 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.372 * [taylor]: Taking taylor expansion of 1.0 in k 3.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.372 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.372 * [taylor]: Taking taylor expansion of -1 in k 3.372 * [taylor]: Taking taylor expansion of k in k 3.385 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.386 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 3.386 * [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 3.386 * [taylor]: Taking taylor expansion of 1.0 in n 3.386 * [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 3.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.386 * [taylor]: Taking taylor expansion of k in n 3.386 * [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 3.386 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.386 * [taylor]: Taking taylor expansion of 0.5 in n 3.386 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.386 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.386 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.386 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.386 * [taylor]: Taking taylor expansion of 1.0 in n 3.386 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.387 * [taylor]: Taking taylor expansion of 2.0 in n 3.388 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.388 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.388 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.388 * [taylor]: Taking taylor expansion of 1.0 in n 3.388 * [taylor]: Taking taylor expansion of (log n) in n 3.388 * [taylor]: Taking taylor expansion of n in n 3.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.389 * [taylor]: Taking taylor expansion of 1.0 in n 3.389 * [taylor]: Taking taylor expansion of (log PI) in n 3.389 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.395 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.395 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.395 * [taylor]: Taking taylor expansion of 0.5 in n 3.395 * [taylor]: Taking taylor expansion of k in n 3.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.395 * [taylor]: Taking taylor expansion of 2.0 in n 3.395 * [taylor]: Taking taylor expansion of (* n PI) in n 3.395 * [taylor]: Taking taylor expansion of n in n 3.395 * [taylor]: Taking taylor expansion of PI in n 3.401 * [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 3.401 * [taylor]: Taking taylor expansion of 1.0 in k 3.401 * [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 3.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.401 * [taylor]: Taking taylor expansion of k in k 3.402 * [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 3.402 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.402 * [taylor]: Taking taylor expansion of 0.5 in k 3.402 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.402 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.402 * [taylor]: Taking taylor expansion of 1.0 in k 3.402 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.402 * [taylor]: Taking taylor expansion of 2.0 in k 3.404 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.404 * [taylor]: Taking taylor expansion of 1.0 in k 3.404 * [taylor]: Taking taylor expansion of (log n) in k 3.404 * [taylor]: Taking taylor expansion of n in k 3.404 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.404 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.404 * [taylor]: Taking taylor expansion of 1.0 in k 3.404 * [taylor]: Taking taylor expansion of (log PI) in k 3.404 * [taylor]: Taking taylor expansion of PI in k 3.410 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.410 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.410 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.410 * [taylor]: Taking taylor expansion of 0.5 in k 3.410 * [taylor]: Taking taylor expansion of k in k 3.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.410 * [taylor]: Taking taylor expansion of 2.0 in k 3.410 * [taylor]: Taking taylor expansion of (* n PI) in k 3.410 * [taylor]: Taking taylor expansion of n in k 3.410 * [taylor]: Taking taylor expansion of PI in k 3.418 * [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 3.419 * [taylor]: Taking taylor expansion of 1.0 in k 3.419 * [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 3.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.419 * [taylor]: Taking taylor expansion of k in k 3.420 * [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 3.420 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.420 * [taylor]: Taking taylor expansion of 0.5 in k 3.420 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.420 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.420 * [taylor]: Taking taylor expansion of 1.0 in k 3.420 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.420 * [taylor]: Taking taylor expansion of 2.0 in k 3.422 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.422 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.422 * [taylor]: Taking taylor expansion of 1.0 in k 3.422 * [taylor]: Taking taylor expansion of (log n) in k 3.422 * [taylor]: Taking taylor expansion of n in k 3.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.423 * [taylor]: Taking taylor expansion of 1.0 in k 3.423 * [taylor]: Taking taylor expansion of (log PI) in k 3.423 * [taylor]: Taking taylor expansion of PI in k 3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.428 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.428 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.428 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.428 * [taylor]: Taking taylor expansion of 0.5 in k 3.428 * [taylor]: Taking taylor expansion of k in k 3.428 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.428 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.428 * [taylor]: Taking taylor expansion of 2.0 in k 3.428 * [taylor]: Taking taylor expansion of (* n PI) in k 3.428 * [taylor]: Taking taylor expansion of n in k 3.428 * [taylor]: Taking taylor expansion of PI in k 3.433 * [taylor]: Taking taylor expansion of 0 in n 3.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.448 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.448 * [taylor]: Taking taylor expansion of +nan.0 in n 3.448 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.448 * [taylor]: Taking taylor expansion of 0.5 in n 3.448 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.448 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.448 * [taylor]: Taking taylor expansion of 1.0 in n 3.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.448 * [taylor]: Taking taylor expansion of 2.0 in n 3.450 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.450 * [taylor]: Taking taylor expansion of 1.0 in n 3.450 * [taylor]: Taking taylor expansion of (log n) in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.451 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.451 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.451 * [taylor]: Taking taylor expansion of 1.0 in n 3.451 * [taylor]: Taking taylor expansion of (log PI) in n 3.451 * [taylor]: Taking taylor expansion of PI in n 3.488 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.488 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.488 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.488 * [taylor]: Taking taylor expansion of +nan.0 in n 3.488 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.488 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.488 * [taylor]: Taking taylor expansion of 0.5 in n 3.488 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.488 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.488 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.488 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.488 * [taylor]: Taking taylor expansion of 2.0 in n 3.490 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.490 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.490 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.490 * [taylor]: Taking taylor expansion of 1.0 in n 3.490 * [taylor]: Taking taylor expansion of (log n) in n 3.490 * [taylor]: Taking taylor expansion of n in n 3.490 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.491 * [taylor]: Taking taylor expansion of (log PI) in n 3.491 * [taylor]: Taking taylor expansion of PI in n 3.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.496 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.496 * [taylor]: Taking taylor expansion of +nan.0 in n 3.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.496 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.496 * [taylor]: Taking taylor expansion of 0.5 in n 3.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.496 * [taylor]: Taking taylor expansion of 1.0 in n 3.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.496 * [taylor]: Taking taylor expansion of 2.0 in n 3.498 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.498 * [taylor]: Taking taylor expansion of 1.0 in n 3.498 * [taylor]: Taking taylor expansion of (log PI) in n 3.498 * [taylor]: Taking taylor expansion of PI in n 3.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.500 * [taylor]: Taking taylor expansion of 1.0 in n 3.500 * [taylor]: Taking taylor expansion of (log n) in n 3.500 * [taylor]: Taking taylor expansion of n in n 3.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.510 * [taylor]: Taking taylor expansion of 2.0 in n 3.510 * [taylor]: Taking taylor expansion of (* n PI) in n 3.510 * [taylor]: Taking taylor expansion of n in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.584 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.584 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.584 * [taylor]: Taking taylor expansion of +nan.0 in n 3.584 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.584 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.584 * [taylor]: Taking taylor expansion of 0.5 in n 3.584 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.584 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.585 * [taylor]: Taking taylor expansion of 1.0 in n 3.585 * [taylor]: Taking taylor expansion of (log PI) in n 3.585 * [taylor]: Taking taylor expansion of PI in n 3.586 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.587 * [taylor]: Taking taylor expansion of 1.0 in n 3.587 * [taylor]: Taking taylor expansion of (log n) in n 3.587 * [taylor]: Taking taylor expansion of n in n 3.587 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.587 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.587 * [taylor]: Taking taylor expansion of 1.0 in n 3.587 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.587 * [taylor]: Taking taylor expansion of 2.0 in n 3.598 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.598 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.598 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.598 * [taylor]: Taking taylor expansion of +nan.0 in n 3.598 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.598 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.598 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.598 * [taylor]: Taking taylor expansion of 0.5 in n 3.598 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.598 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.599 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.599 * [taylor]: Taking taylor expansion of 1.0 in n 3.599 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.599 * [taylor]: Taking taylor expansion of 2.0 in n 3.600 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.600 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.601 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.601 * [taylor]: Taking taylor expansion of 1.0 in n 3.601 * [taylor]: Taking taylor expansion of (log PI) in n 3.601 * [taylor]: Taking taylor expansion of PI in n 3.602 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.603 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.603 * [taylor]: Taking taylor expansion of 1.0 in n 3.603 * [taylor]: Taking taylor expansion of (log n) in n 3.603 * [taylor]: Taking taylor expansion of n in n 3.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.607 * [taylor]: Taking taylor expansion of 2.0 in n 3.607 * [taylor]: Taking taylor expansion of (* n PI) in n 3.607 * [taylor]: Taking taylor expansion of n in n 3.607 * [taylor]: Taking taylor expansion of PI in n 3.610 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.610 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.610 * [taylor]: Taking taylor expansion of +nan.0 in n 3.610 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.610 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.610 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.610 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.610 * [taylor]: Taking taylor expansion of 0.5 in n 3.610 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.610 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.610 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.610 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.610 * [taylor]: Taking taylor expansion of 1.0 in n 3.610 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.610 * [taylor]: Taking taylor expansion of 2.0 in n 3.612 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.612 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.612 * [taylor]: Taking taylor expansion of 1.0 in n 3.612 * [taylor]: Taking taylor expansion of (log PI) in n 3.612 * [taylor]: Taking taylor expansion of PI in n 3.614 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.614 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.614 * [taylor]: Taking taylor expansion of 1.0 in n 3.614 * [taylor]: Taking taylor expansion of (log n) in n 3.614 * [taylor]: Taking taylor expansion of n in n 3.619 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.619 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.619 * [taylor]: Taking taylor expansion of 2.0 in n 3.619 * [taylor]: Taking taylor expansion of (* n PI) in n 3.619 * [taylor]: Taking taylor expansion of n in n 3.619 * [taylor]: Taking taylor expansion of PI in n 3.699 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 3.699 * [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 3.699 * [taylor]: Taking taylor expansion of 1.0 in n 3.699 * [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 3.699 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.699 * [taylor]: Taking taylor expansion of k in n 3.699 * [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 3.699 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.700 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.700 * [taylor]: Taking taylor expansion of 0.5 in n 3.700 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.700 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.700 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.700 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.700 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.700 * [taylor]: Taking taylor expansion of 1.0 in n 3.700 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.700 * [taylor]: Taking taylor expansion of 2.0 in n 3.702 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.702 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.702 * [taylor]: Taking taylor expansion of 1.0 in n 3.702 * [taylor]: Taking taylor expansion of (log PI) in n 3.702 * [taylor]: Taking taylor expansion of PI in n 3.704 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.704 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.704 * [taylor]: Taking taylor expansion of 1.0 in n 3.704 * [taylor]: Taking taylor expansion of (log n) in n 3.704 * [taylor]: Taking taylor expansion of n in n 3.711 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.711 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.711 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.711 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.711 * [taylor]: Taking taylor expansion of 0.5 in n 3.711 * [taylor]: Taking taylor expansion of k in n 3.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.711 * [taylor]: Taking taylor expansion of 2.0 in n 3.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.711 * [taylor]: Taking taylor expansion of PI in n 3.711 * [taylor]: Taking taylor expansion of n in n 3.716 * [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 3.716 * [taylor]: Taking taylor expansion of 1.0 in k 3.716 * [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 3.716 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.716 * [taylor]: Taking taylor expansion of k in k 3.717 * [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 3.717 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.717 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.717 * [taylor]: Taking taylor expansion of 0.5 in k 3.717 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.717 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.717 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.717 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.717 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.717 * [taylor]: Taking taylor expansion of 1.0 in k 3.717 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.717 * [taylor]: Taking taylor expansion of 2.0 in k 3.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.719 * [taylor]: Taking taylor expansion of 1.0 in k 3.719 * [taylor]: Taking taylor expansion of (log PI) in k 3.719 * [taylor]: Taking taylor expansion of PI in k 3.721 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.721 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.721 * [taylor]: Taking taylor expansion of 1.0 in k 3.721 * [taylor]: Taking taylor expansion of (log n) in k 3.721 * [taylor]: Taking taylor expansion of n in k 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.727 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.727 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.728 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.728 * [taylor]: Taking taylor expansion of 0.5 in k 3.728 * [taylor]: Taking taylor expansion of k in k 3.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.728 * [taylor]: Taking taylor expansion of 2.0 in k 3.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.728 * [taylor]: Taking taylor expansion of PI in k 3.728 * [taylor]: Taking taylor expansion of n in k 3.728 * [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 3.728 * [taylor]: Taking taylor expansion of 1.0 in k 3.728 * [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 3.728 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.728 * [taylor]: Taking taylor expansion of k in k 3.729 * [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 3.729 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.729 * [taylor]: Taking taylor expansion of 0.5 in k 3.730 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.730 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.730 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.730 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.730 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.730 * [taylor]: Taking taylor expansion of 1.0 in k 3.730 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.730 * [taylor]: Taking taylor expansion of 2.0 in k 3.731 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.731 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.731 * [taylor]: Taking taylor expansion of 1.0 in k 3.732 * [taylor]: Taking taylor expansion of (log PI) in k 3.732 * [taylor]: Taking taylor expansion of PI in k 3.733 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.733 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.733 * [taylor]: Taking taylor expansion of 1.0 in k 3.733 * [taylor]: Taking taylor expansion of (log n) in k 3.733 * [taylor]: Taking taylor expansion of n in k 3.740 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.740 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.740 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.740 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.740 * [taylor]: Taking taylor expansion of 0.5 in k 3.740 * [taylor]: Taking taylor expansion of k in k 3.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.741 * [taylor]: Taking taylor expansion of 2.0 in k 3.741 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.741 * [taylor]: Taking taylor expansion of PI in k 3.741 * [taylor]: Taking taylor expansion of n in k 3.744 * [taylor]: Taking taylor expansion of 0 in n 3.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.762 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.762 * [taylor]: Taking taylor expansion of +nan.0 in n 3.762 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.762 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.762 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.762 * [taylor]: Taking taylor expansion of 0.5 in n 3.762 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.762 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.762 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.762 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.762 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.762 * [taylor]: Taking taylor expansion of 1.0 in n 3.762 * [taylor]: Taking taylor expansion of (log PI) in n 3.762 * [taylor]: Taking taylor expansion of PI in n 3.764 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.764 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.764 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.764 * [taylor]: Taking taylor expansion of 1.0 in n 3.764 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.764 * [taylor]: Taking taylor expansion of 2.0 in n 3.766 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.766 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.766 * [taylor]: Taking taylor expansion of 1.0 in n 3.766 * [taylor]: Taking taylor expansion of (log n) in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.774 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.774 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.774 * [taylor]: Taking taylor expansion of 0.5 in n 3.774 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.774 * [taylor]: Taking taylor expansion of 2.0 in n 3.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.774 * [taylor]: Taking taylor expansion of PI in n 3.774 * [taylor]: Taking taylor expansion of n in n 3.775 * [taylor]: Taking taylor expansion of k in n 3.822 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.822 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.822 * [taylor]: Taking taylor expansion of +nan.0 in n 3.822 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.822 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.822 * [taylor]: Taking taylor expansion of 0.5 in n 3.822 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.822 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.822 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.822 * [taylor]: Taking taylor expansion of 1.0 in n 3.822 * [taylor]: Taking taylor expansion of (log PI) in n 3.822 * [taylor]: Taking taylor expansion of PI in n 3.824 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.824 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.824 * [taylor]: Taking taylor expansion of 1.0 in n 3.824 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.824 * [taylor]: Taking taylor expansion of 2.0 in n 3.826 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.826 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.826 * [taylor]: Taking taylor expansion of 1.0 in n 3.826 * [taylor]: Taking taylor expansion of (log n) in n 3.826 * [taylor]: Taking taylor expansion of n in n 3.833 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.833 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.833 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.833 * [taylor]: Taking taylor expansion of 0.5 in n 3.833 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.833 * [taylor]: Taking taylor expansion of 2.0 in n 3.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.833 * [taylor]: Taking taylor expansion of PI in n 3.833 * [taylor]: Taking taylor expansion of n in n 3.835 * [taylor]: Taking taylor expansion of k in n 3.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.914 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.914 * [taylor]: Taking taylor expansion of +nan.0 in n 3.914 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.914 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.914 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.914 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.914 * [taylor]: Taking taylor expansion of 0.5 in n 3.914 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.914 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.914 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.914 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.914 * [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 3.916 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.916 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.916 * [taylor]: Taking taylor expansion of 1.0 in n 3.916 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.917 * [taylor]: Taking taylor expansion of 2.0 in n 3.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [taylor]: Taking taylor expansion of (log n) in n 3.918 * [taylor]: Taking taylor expansion of n in n 3.925 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.925 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.925 * [taylor]: Taking taylor expansion of 0.5 in n 3.925 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) 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 3.926 * [taylor]: Taking taylor expansion of n in n 3.927 * [taylor]: Taking taylor expansion of k in n 3.948 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.948 * [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 3.948 * [taylor]: Taking taylor expansion of 1.0 in n 3.948 * [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 3.948 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.948 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.948 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.948 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.948 * [taylor]: Taking taylor expansion of -1 in n 3.948 * [taylor]: Taking taylor expansion of k in n 3.948 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.948 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.948 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.948 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.948 * [taylor]: Taking taylor expansion of -0.5 in n 3.948 * [taylor]: Taking taylor expansion of k in n 3.948 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.948 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.948 * [taylor]: Taking taylor expansion of -2.0 in n 3.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.948 * [taylor]: Taking taylor expansion of PI in n 3.948 * [taylor]: Taking taylor expansion of n in n 3.953 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 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 n 3.953 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.953 * [taylor]: Taking taylor expansion of 0.5 in n 3.953 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.953 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.953 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.953 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.953 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.953 * [taylor]: Taking taylor expansion of 1.0 in n 3.953 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.953 * [taylor]: Taking taylor expansion of -2.0 in n 3.955 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.955 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.955 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.955 * [taylor]: Taking taylor expansion of 1.0 in n 3.955 * [taylor]: Taking taylor expansion of (log PI) in n 3.955 * [taylor]: Taking taylor expansion of PI in n 3.957 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.957 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.957 * [taylor]: Taking taylor expansion of 1.0 in n 3.957 * [taylor]: Taking taylor expansion of (log n) in n 3.957 * [taylor]: Taking taylor expansion of n in n 3.970 * [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 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.970 * [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 3.970 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.970 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.970 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.970 * [taylor]: Taking taylor expansion of -1 in k 3.970 * [taylor]: Taking taylor expansion of k in k 3.972 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.972 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.972 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.972 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.972 * [taylor]: Taking taylor expansion of -0.5 in k 3.972 * [taylor]: Taking taylor expansion of k in k 3.972 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.972 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.972 * [taylor]: Taking taylor expansion of -2.0 in k 3.972 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.972 * [taylor]: Taking taylor expansion of PI in k 3.972 * [taylor]: Taking taylor expansion of n in k 3.973 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.973 * [taylor]: Taking taylor expansion of 0.5 in k 3.973 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.973 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.973 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.973 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.973 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.973 * [taylor]: Taking taylor expansion of 1.0 in k 3.973 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.973 * [taylor]: Taking taylor expansion of -2.0 in k 3.975 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.975 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.975 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.975 * [taylor]: Taking taylor expansion of 1.0 in k 3.975 * [taylor]: Taking taylor expansion of (log PI) in k 3.975 * [taylor]: Taking taylor expansion of PI in k 3.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 3.977 * [taylor]: Taking taylor expansion of (log n) in k 3.977 * [taylor]: Taking taylor expansion of n in k 3.984 * [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 3.984 * [taylor]: Taking taylor expansion of 1.0 in k 3.984 * [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 3.984 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.984 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.984 * [taylor]: Taking taylor expansion of -1 in k 3.984 * [taylor]: Taking taylor expansion of k in k 3.985 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.985 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.985 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.985 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.985 * [taylor]: Taking taylor expansion of -0.5 in k 3.985 * [taylor]: Taking taylor expansion of k in k 3.986 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.986 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.986 * [taylor]: Taking taylor expansion of -2.0 in k 3.986 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.986 * [taylor]: Taking taylor expansion of PI in k 3.986 * [taylor]: Taking taylor expansion of n in k 3.986 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.986 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.986 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.986 * [taylor]: Taking taylor expansion of 0.5 in k 3.986 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.987 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.987 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.987 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.987 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.987 * [taylor]: Taking taylor expansion of 1.0 in k 3.987 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.987 * [taylor]: Taking taylor expansion of -2.0 in k 3.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.988 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.989 * [taylor]: Taking taylor expansion of 1.0 in k 3.989 * [taylor]: Taking taylor expansion of (log PI) in k 3.989 * [taylor]: Taking taylor expansion of PI in k 3.991 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.991 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.991 * [taylor]: Taking taylor expansion of 1.0 in k 3.991 * [taylor]: Taking taylor expansion of (log n) in k 3.991 * [taylor]: Taking taylor expansion of n in k 4.000 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.000 * [taylor]: Taking taylor expansion of +nan.0 in n 4.000 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.000 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.000 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.000 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.001 * [taylor]: Taking taylor expansion of -0.5 in n 4.001 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.001 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.001 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.001 * [taylor]: Taking taylor expansion of -2.0 in n 4.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.001 * [taylor]: Taking taylor expansion of PI in n 4.001 * [taylor]: Taking taylor expansion of n in n 4.002 * [taylor]: Taking taylor expansion of k in n 4.006 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.006 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.007 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.007 * [taylor]: Taking taylor expansion of 0.5 in n 4.007 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.007 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.007 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.007 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.007 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.007 * [taylor]: Taking taylor expansion of 1.0 in n 4.007 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.007 * [taylor]: Taking taylor expansion of -2.0 in n 4.008 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.008 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.008 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.009 * [taylor]: Taking taylor expansion of 1.0 in n 4.009 * [taylor]: Taking taylor expansion of (log PI) in n 4.009 * [taylor]: Taking taylor expansion of PI in n 4.010 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.010 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.010 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.010 * [taylor]: Taking taylor expansion of 1.0 in n 4.010 * [taylor]: Taking taylor expansion of (log n) in n 4.010 * [taylor]: Taking taylor expansion of n in n 4.044 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 4.044 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.044 * [taylor]: Taking taylor expansion of +nan.0 in n 4.044 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.044 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.044 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.044 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.044 * [taylor]: Taking taylor expansion of -0.5 in n 4.044 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.044 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.044 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.044 * [taylor]: Taking taylor expansion of -2.0 in n 4.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.044 * [taylor]: Taking taylor expansion of PI in n 4.044 * [taylor]: Taking taylor expansion of n in n 4.045 * [taylor]: Taking taylor expansion of k in n 4.050 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.050 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.050 * [taylor]: Taking taylor expansion of 0.5 in n 4.050 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.050 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.050 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.050 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.050 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.050 * [taylor]: Taking taylor expansion of 1.0 in n 4.050 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.050 * [taylor]: Taking taylor expansion of -2.0 in n 4.058 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.058 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.058 * [taylor]: Taking taylor expansion of 1.0 in n 4.058 * [taylor]: Taking taylor expansion of (log PI) in n 4.058 * [taylor]: Taking taylor expansion of PI in n 4.060 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.060 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.060 * [taylor]: Taking taylor expansion of 1.0 in n 4.060 * [taylor]: Taking taylor expansion of (log n) in n 4.060 * [taylor]: Taking taylor expansion of n in n 4.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 4.129 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.129 * [taylor]: Taking taylor expansion of +nan.0 in n 4.129 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.129 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.129 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.129 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.129 * [taylor]: Taking taylor expansion of -0.5 in n 4.129 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.129 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.129 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.129 * [taylor]: Taking taylor expansion of -2.0 in n 4.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.129 * [taylor]: Taking taylor expansion of PI in n 4.129 * [taylor]: Taking taylor expansion of n in n 4.131 * [taylor]: Taking taylor expansion of k in n 4.135 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.135 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.135 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.135 * [taylor]: Taking taylor expansion of 0.5 in n 4.136 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.136 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.136 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.136 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.136 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.136 * [taylor]: Taking taylor expansion of 1.0 in n 4.136 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.136 * [taylor]: Taking taylor expansion of -2.0 in n 4.137 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.137 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.137 * [taylor]: Taking taylor expansion of 1.0 in n 4.138 * [taylor]: Taking taylor expansion of (log PI) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.139 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.139 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.139 * [taylor]: Taking taylor expansion of 1.0 in n 4.139 * [taylor]: Taking taylor expansion of (log n) in n 4.139 * [taylor]: Taking taylor expansion of n in n 4.168 * * * [progress]: simplifying candidates 4.172 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow 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PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (fma +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))) 4.224 * * * [progress]: adding candidates to table 4.726 * * [progress]: iteration 4 / 4 4.726 * * * [progress]: picking best candidate 4.753 * * * * [pick]: Picked # 4.753 * * * [progress]: localizing error 4.775 * * * [progress]: generating rewritten candidates 4.775 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.783 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.788 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 4.793 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 4.800 * * * [progress]: generating series expansions 4.800 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.802 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in (n k) around 0 4.802 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in k 4.802 * [taylor]: Taking taylor expansion of 1.0 in k 4.802 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in k 4.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.802 * [taylor]: Taking taylor expansion of k in k 4.803 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in k 4.803 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.803 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.803 * [taylor]: Taking taylor expansion of 0.25 in k 4.803 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.803 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.803 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.803 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.803 * [taylor]: Taking taylor expansion of 1.0 in k 4.803 * [taylor]: Taking taylor expansion of (log PI) in k 4.804 * [taylor]: Taking taylor expansion of PI in k 4.805 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.805 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.805 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [taylor]: Taking taylor expansion of (log n) in k 4.806 * [taylor]: Taking taylor expansion of n in k 4.806 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.806 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.806 * [taylor]: Taking taylor expansion of 2.0 in k 4.811 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.811 * [taylor]: Taking taylor expansion of 1.0 in n 4.811 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.811 * [taylor]: Taking taylor expansion of k in n 4.811 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.811 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.811 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.811 * [taylor]: Taking taylor expansion of 0.25 in n 4.811 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.811 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.811 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.811 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.812 * [taylor]: Taking taylor expansion of 1.0 in n 4.812 * [taylor]: Taking taylor expansion of (log PI) in n 4.812 * [taylor]: Taking taylor expansion of PI in n 4.813 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.813 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.814 * [taylor]: Taking taylor expansion of 1.0 in n 4.814 * [taylor]: Taking taylor expansion of (log n) in n 4.814 * [taylor]: Taking taylor expansion of n in n 4.814 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.814 * [taylor]: Taking taylor expansion of 1.0 in n 4.814 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.814 * [taylor]: Taking taylor expansion of 2.0 in n 4.820 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.820 * [taylor]: Taking taylor expansion of k in n 4.820 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.820 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.820 * [taylor]: Taking taylor expansion of 0.25 in n 4.820 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.820 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (log PI) in n 4.820 * [taylor]: Taking taylor expansion of PI in n 4.822 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 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 2.0 1.0) in n 4.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.823 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.823 * [taylor]: Taking taylor expansion of 1.0 in n 4.823 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.823 * [taylor]: Taking taylor expansion of 2.0 in n 4.830 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in k 4.830 * [taylor]: Taking taylor expansion of 1.0 in k 4.830 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in k 4.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.830 * [taylor]: Taking taylor expansion of k in k 4.831 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in k 4.831 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.831 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.831 * [taylor]: Taking taylor expansion of 0.25 in k 4.836 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.836 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.836 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.836 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.836 * [taylor]: Taking taylor expansion of 1.0 in k 4.836 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.836 * [taylor]: Taking taylor expansion of 2.0 in k 4.839 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.839 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.839 * [taylor]: Taking taylor expansion of 1.0 in k 4.839 * [taylor]: Taking taylor expansion of (log n) in k 4.839 * [taylor]: Taking taylor expansion of n in k 4.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.839 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.839 * [taylor]: Taking taylor expansion of 1.0 in k 4.839 * [taylor]: Taking taylor expansion of (log PI) in k 4.839 * [taylor]: Taking taylor expansion of PI in k 4.859 * [taylor]: Taking taylor expansion of 0 in k 4.892 * [taylor]: Taking taylor expansion of 0 in k 4.949 * [taylor]: Taking taylor expansion of 0 in k 4.985 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 4.985 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 4.986 * [taylor]: Taking taylor expansion of 1.0 in k 4.986 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 4.986 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.986 * [taylor]: Taking taylor expansion of k in k 4.988 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 4.988 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.988 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.988 * [taylor]: Taking taylor expansion of 0.25 in k 4.988 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.988 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.988 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.988 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.988 * [taylor]: Taking taylor expansion of 1.0 in k 4.988 * [taylor]: Taking taylor expansion of (log PI) in k 4.988 * [taylor]: Taking taylor expansion of PI in k 4.991 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.991 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.991 * [taylor]: Taking taylor expansion of 1.0 in k 4.991 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.991 * [taylor]: Taking taylor expansion of 2.0 in k 4.994 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.994 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.994 * [taylor]: Taking taylor expansion of 1.0 in k 4.994 * [taylor]: Taking taylor expansion of (log n) in k 4.994 * [taylor]: Taking taylor expansion of n in k 5.004 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 5.004 * [taylor]: Taking taylor expansion of 1.0 in n 5.004 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 5.004 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.004 * [taylor]: Taking taylor expansion of k in n 5.004 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.005 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.005 * [taylor]: Taking taylor expansion of 0.25 in n 5.005 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.005 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.005 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.005 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.005 * [taylor]: Taking taylor expansion of 1.0 in n 5.005 * [taylor]: Taking taylor expansion of (log PI) in n 5.005 * [taylor]: Taking taylor expansion of PI in n 5.008 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.008 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.008 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.008 * [taylor]: Taking taylor expansion of 1.0 in n 5.008 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.008 * [taylor]: Taking taylor expansion of 2.0 in n 5.010 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.010 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.010 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.010 * [taylor]: Taking taylor expansion of 1.0 in n 5.010 * [taylor]: Taking taylor expansion of (log n) in n 5.011 * [taylor]: Taking taylor expansion of n in n 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 5.022 * [taylor]: Taking taylor expansion of 1.0 in n 5.022 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 5.022 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.022 * [taylor]: Taking taylor expansion of k in n 5.022 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.022 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.022 * [taylor]: Taking taylor expansion of 0.25 in n 5.022 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.022 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.022 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.022 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.022 * [taylor]: Taking taylor expansion of 1.0 in n 5.022 * [taylor]: Taking taylor expansion of (log PI) in n 5.022 * [taylor]: Taking taylor expansion of PI in n 5.025 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.025 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.025 * [taylor]: Taking taylor expansion of 1.0 in n 5.025 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.025 * [taylor]: Taking taylor expansion of 2.0 in n 5.038 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.038 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.038 * [taylor]: Taking taylor expansion of 1.0 in n 5.038 * [taylor]: Taking taylor expansion of (log n) in n 5.038 * [taylor]: Taking taylor expansion of n in n 5.053 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 5.053 * [taylor]: Taking taylor expansion of 1.0 in k 5.053 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 5.053 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.053 * [taylor]: Taking taylor expansion of k in k 5.055 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 5.055 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 5.055 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 5.055 * [taylor]: Taking taylor expansion of 0.25 in k 5.055 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 5.055 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 5.055 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.055 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.055 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.055 * [taylor]: Taking taylor expansion of 1.0 in k 5.055 * [taylor]: Taking taylor expansion of (log PI) in k 5.055 * [taylor]: Taking taylor expansion of PI in k 5.058 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.058 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.058 * [taylor]: Taking taylor expansion of 1.0 in k 5.058 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.058 * [taylor]: Taking taylor expansion of 2.0 in k 5.061 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.061 * [taylor]: Taking taylor expansion of 1.0 in k 5.061 * [taylor]: Taking taylor expansion of (log n) in k 5.061 * [taylor]: Taking taylor expansion of n in k 5.091 * [taylor]: Taking taylor expansion of 0 in k 5.131 * [taylor]: Taking taylor expansion of 0 in k 5.195 * [taylor]: Taking taylor expansion of 0 in k 5.241 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 5.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.241 * [taylor]: Taking taylor expansion of 1.0 in k 5.241 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.241 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.241 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.241 * [taylor]: Taking taylor expansion of -1 in k 5.241 * [taylor]: Taking taylor expansion of k in k 5.243 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.243 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.243 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.243 * [taylor]: Taking taylor expansion of 0.25 in k 5.243 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.243 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.243 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.243 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.243 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.243 * [taylor]: Taking taylor expansion of 1.0 in k 5.243 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.243 * [taylor]: Taking taylor expansion of -2.0 in k 5.245 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.245 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.245 * [taylor]: Taking taylor expansion of 1.0 in k 5.245 * [taylor]: Taking taylor expansion of (log PI) in k 5.245 * [taylor]: Taking taylor expansion of PI in k 5.247 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.247 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.247 * [taylor]: Taking taylor expansion of 1.0 in k 5.247 * [taylor]: Taking taylor expansion of (log n) in k 5.247 * [taylor]: Taking taylor expansion of n in k 5.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.254 * [taylor]: Taking taylor expansion of 1.0 in n 5.254 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.254 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.254 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.254 * [taylor]: Taking taylor expansion of -1 in n 5.254 * [taylor]: Taking taylor expansion of k in n 5.254 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.254 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.254 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.254 * [taylor]: Taking taylor expansion of 0.25 in n 5.254 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.254 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.254 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.254 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.254 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.254 * [taylor]: Taking taylor expansion of 1.0 in n 5.254 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.254 * [taylor]: Taking taylor expansion of -2.0 in n 5.256 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.256 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.256 * [taylor]: Taking taylor expansion of 1.0 in n 5.256 * [taylor]: Taking taylor expansion of (log PI) in n 5.256 * [taylor]: Taking taylor expansion of PI in n 5.258 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.258 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.258 * [taylor]: Taking taylor expansion of 1.0 in n 5.258 * [taylor]: Taking taylor expansion of (log n) in n 5.258 * [taylor]: Taking taylor expansion of n in n 5.265 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.265 * [taylor]: Taking taylor expansion of 1.0 in n 5.265 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.265 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.265 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.265 * [taylor]: Taking taylor expansion of -1 in n 5.265 * [taylor]: Taking taylor expansion of k in n 5.266 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.266 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.266 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.266 * [taylor]: Taking taylor expansion of 0.25 in n 5.266 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.266 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.266 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.266 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.266 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.266 * [taylor]: Taking taylor expansion of 1.0 in n 5.266 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.266 * [taylor]: Taking taylor expansion of -2.0 in n 5.267 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.268 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.268 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.268 * [taylor]: Taking taylor expansion of 1.0 in n 5.268 * [taylor]: Taking taylor expansion of (log PI) in n 5.268 * [taylor]: Taking taylor expansion of PI in n 5.269 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.269 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.269 * [taylor]: Taking taylor expansion of 1.0 in n 5.269 * [taylor]: Taking taylor expansion of (log n) in n 5.269 * [taylor]: Taking taylor expansion of n in n 5.279 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.279 * [taylor]: Taking taylor expansion of 1.0 in k 5.279 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.279 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.279 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.279 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.279 * [taylor]: Taking taylor expansion of -1 in k 5.280 * [taylor]: Taking taylor expansion of k in k 5.281 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.281 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.281 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.281 * [taylor]: Taking taylor expansion of 0.25 in k 5.281 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.281 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.281 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.281 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.281 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.281 * [taylor]: Taking taylor expansion of 1.0 in k 5.281 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.281 * [taylor]: Taking taylor expansion of -2.0 in k 5.283 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.283 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.283 * [taylor]: Taking taylor expansion of 1.0 in k 5.283 * [taylor]: Taking taylor expansion of (log PI) in k 5.283 * [taylor]: Taking taylor expansion of PI in k 5.285 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.285 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.285 * [taylor]: Taking taylor expansion of 1.0 in k 5.285 * [taylor]: Taking taylor expansion of (log n) in k 5.285 * [taylor]: Taking taylor expansion of n in k 5.312 * [taylor]: Taking taylor expansion of 0 in k 5.363 * [taylor]: Taking taylor expansion of 0 in k 5.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.399 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.399 * [taylor]: Taking taylor expansion of 2.0 in n 5.400 * [taylor]: Taking taylor expansion of (* n PI) in n 5.400 * [taylor]: Taking taylor expansion of n in n 5.400 * [taylor]: Taking taylor expansion of PI in n 5.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.400 * [taylor]: Taking taylor expansion of 2.0 in n 5.400 * [taylor]: Taking taylor expansion of (* n PI) in n 5.400 * [taylor]: Taking taylor expansion of n in n 5.400 * [taylor]: Taking taylor expansion of PI in n 5.419 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.419 * [taylor]: Taking taylor expansion of 2.0 in n 5.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.419 * [taylor]: Taking taylor expansion of PI in n 5.419 * [taylor]: Taking taylor expansion of n in n 5.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.419 * [taylor]: Taking taylor expansion of 2.0 in n 5.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.419 * [taylor]: Taking taylor expansion of PI in n 5.419 * [taylor]: Taking taylor expansion of n in n 5.428 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.428 * [taylor]: Taking taylor expansion of -2.0 in n 5.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.429 * [taylor]: Taking taylor expansion of PI in n 5.429 * [taylor]: Taking taylor expansion of n in n 5.429 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.429 * [taylor]: Taking taylor expansion of -2.0 in n 5.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.429 * [taylor]: Taking taylor expansion of PI in n 5.429 * [taylor]: Taking taylor expansion of n in n 5.438 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.438 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.438 * [taylor]: Taking taylor expansion of 2.0 in n 5.438 * [taylor]: Taking taylor expansion of (* n PI) in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.438 * [taylor]: Taking taylor expansion of PI in n 5.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.438 * [taylor]: Taking taylor expansion of 2.0 in n 5.438 * [taylor]: Taking taylor expansion of (* n PI) in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.438 * [taylor]: Taking taylor expansion of PI in n 5.451 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.451 * [taylor]: Taking taylor expansion of 2.0 in n 5.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.451 * [taylor]: Taking taylor expansion of PI in n 5.451 * [taylor]: Taking taylor expansion of n in n 5.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.452 * [taylor]: Taking taylor expansion of 2.0 in n 5.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.452 * [taylor]: Taking taylor expansion of PI in n 5.452 * [taylor]: Taking taylor expansion of n in n 5.461 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.461 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.461 * [taylor]: Taking taylor expansion of -2.0 in n 5.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.461 * [taylor]: Taking taylor expansion of PI in n 5.461 * [taylor]: Taking taylor expansion of n in n 5.461 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.461 * [taylor]: Taking taylor expansion of -2.0 in n 5.461 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.461 * [taylor]: Taking taylor expansion of PI in n 5.461 * [taylor]: Taking taylor expansion of n in n 5.470 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 5.471 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.471 * [taylor]: Taking taylor expansion of 2.0 in n 5.471 * [taylor]: Taking taylor expansion of (* n PI) in n 5.471 * [taylor]: Taking taylor expansion of n in n 5.471 * [taylor]: Taking taylor expansion of PI in n 5.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.471 * [taylor]: Taking taylor expansion of 2.0 in n 5.471 * [taylor]: Taking taylor expansion of (* n PI) in n 5.471 * [taylor]: Taking taylor expansion of n in n 5.471 * [taylor]: Taking taylor expansion of PI in n 5.484 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.484 * [taylor]: Taking taylor expansion of 2.0 in n 5.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.484 * [taylor]: Taking taylor expansion of PI in n 5.484 * [taylor]: Taking taylor expansion of n in n 5.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.484 * [taylor]: Taking taylor expansion of 2.0 in n 5.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.484 * [taylor]: Taking taylor expansion of PI in n 5.484 * [taylor]: Taking taylor expansion of n in n 5.501 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.501 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.501 * [taylor]: Taking taylor expansion of -2.0 in n 5.501 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.501 * [taylor]: Taking taylor expansion of PI in n 5.501 * [taylor]: Taking taylor expansion of n in n 5.501 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.501 * [taylor]: Taking taylor expansion of -2.0 in n 5.501 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.501 * [taylor]: Taking taylor expansion of PI in n 5.501 * [taylor]: Taking taylor expansion of n in n 5.510 * * * [progress]: simplifying candidates 5.511 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log1p (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (+ (log 1.0) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (- (log (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (* (* (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt 1)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (- (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 (pow k 2)))) (- (+ (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 k)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.518 * * [simplify]: iteration 0 : 409 enodes (cost 636 ) 5.526 * * [simplify]: iteration 1 : 1841 enodes (cost 537 ) 5.561 * * [simplify]: iteration 2 : 5002 enodes (cost 522 ) 5.565 * [simplify]: Simplified to: (expm1 (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log1p (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (- (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (+ (- +nan.0) (- (* +nan.0 k) (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (pow k 2)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (pow k 2)) (* +nan.0 (+ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) k)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.565 * * * [progress]: adding candidates to table 5.839 * [progress]: [Phase 3 of 3] Extracting. 5.839 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.842 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.842 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.888 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.937 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.981 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.025 * * * [regime]: Found split indices: #