11.026 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.194 * * * [progress]: [2/2] Setting up program. 0.196 * [progress]: [Phase 2 of 3] Improving. 0.197 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.199 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.201 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.202 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.205 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.211 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.235 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.235 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.235 * * [progress]: iteration 1 / 4 0.236 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.252 * * * [progress]: generating rewritten candidates 0.252 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.265 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.287 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.287 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.287 * [taylor]: Taking taylor expansion of 0.5 in k 0.287 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.287 * [taylor]: Taking taylor expansion of 1.0 in k 0.287 * [taylor]: Taking taylor expansion of k in k 0.287 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.287 * [taylor]: Taking taylor expansion of 2.0 in k 0.287 * [taylor]: Taking taylor expansion of (* n PI) in k 0.287 * [taylor]: Taking taylor expansion of n in k 0.287 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.305 * [taylor]: Taking taylor expansion of 0.5 in k 0.305 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.305 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.305 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.305 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.305 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.305 * [taylor]: Taking taylor expansion of 2.0 in k 0.305 * [taylor]: Taking taylor expansion of PI in k 0.306 * [taylor]: Taking taylor expansion of (log n) in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of 0 in k 0.332 * [taylor]: Taking taylor expansion of 0 in k 0.352 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.352 * [taylor]: Taking taylor expansion of 0.5 in k 0.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.352 * [taylor]: Taking taylor expansion of 2.0 in k 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.352 * [taylor]: Taking taylor expansion of PI in k 0.352 * [taylor]: Taking taylor expansion of n in k 0.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.354 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.354 * [taylor]: Taking taylor expansion of 2.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.358 * [taylor]: Taking taylor expansion of 0.5 in n 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.358 * [taylor]: Taking taylor expansion of 1.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.358 * [taylor]: Taking taylor expansion of k in n 0.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of 2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of 2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of (log n) in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of 0 in k 0.380 * [taylor]: Taking taylor expansion of 0 in k 0.396 * [taylor]: Taking taylor expansion of 0 in k 0.397 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.397 * [taylor]: Taking taylor expansion of 0.5 in k 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.397 * [taylor]: Taking taylor expansion of k in k 0.397 * [taylor]: Taking taylor expansion of 1.0 in k 0.398 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.398 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.398 * [taylor]: Taking taylor expansion of -2.0 in k 0.398 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.398 * [taylor]: Taking taylor expansion of PI in k 0.398 * [taylor]: Taking taylor expansion of n in k 0.398 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.399 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.399 * [taylor]: Taking taylor expansion of -2.0 in n 0.399 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.399 * [taylor]: Taking taylor expansion of PI in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.403 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.403 * [taylor]: Taking taylor expansion of 0.5 in n 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.403 * [taylor]: Taking taylor expansion of k in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.403 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.403 * [taylor]: Taking taylor expansion of -2.0 in n 0.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.403 * [taylor]: Taking taylor expansion of PI in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.407 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.407 * [taylor]: Taking taylor expansion of 0.5 in k 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.407 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.407 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.407 * [taylor]: Taking taylor expansion of -2.0 in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.408 * [taylor]: Taking taylor expansion of (log n) in k 0.408 * [taylor]: Taking taylor expansion of n in k 0.417 * [taylor]: Taking taylor expansion of 0 in k 0.425 * [taylor]: Taking taylor expansion of 0 in k 0.434 * [taylor]: Taking taylor expansion of 0 in k 0.434 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.435 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.435 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.436 * [taylor]: Taking taylor expansion of 1.0 in k 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.436 * [taylor]: Taking taylor expansion of k in k 0.448 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.460 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.460 * [taylor]: Taking taylor expansion of -1 in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.461 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.462 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.462 * [taylor]: Taking taylor expansion of -1 in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.480 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.480 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.480 * [taylor]: Taking taylor expansion of 2.0 in n 0.480 * [taylor]: Taking taylor expansion of (* n PI) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [taylor]: Taking taylor expansion of PI in n 0.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.480 * [taylor]: Taking taylor expansion of 2.0 in n 0.480 * [taylor]: Taking taylor expansion of (* n PI) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [taylor]: Taking taylor expansion of PI in n 0.493 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.503 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.503 * [taylor]: Taking taylor expansion of -2.0 in n 0.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.503 * [taylor]: Taking taylor expansion of -2.0 in n 0.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.504 * [taylor]: Taking taylor expansion of n in n 0.512 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.513 * [taylor]: Taking taylor expansion of k in n 0.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.513 * [taylor]: Taking taylor expansion of 0.5 in n 0.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of k in n 0.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.513 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* n PI) in n 0.513 * [taylor]: Taking taylor expansion of n in n 0.513 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.519 * [taylor]: Taking taylor expansion of 1.0 in k 0.519 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.519 * [taylor]: Taking taylor expansion of k in k 0.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.520 * [taylor]: Taking taylor expansion of 0.5 in k 0.520 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.520 * [taylor]: Taking taylor expansion of 1.0 in k 0.520 * [taylor]: Taking taylor expansion of k in k 0.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.521 * [taylor]: Taking taylor expansion of 2.0 in k 0.521 * [taylor]: Taking taylor expansion of (* n PI) in k 0.521 * [taylor]: Taking taylor expansion of n in k 0.521 * [taylor]: Taking taylor expansion of PI in k 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.522 * [taylor]: Taking taylor expansion of 1.0 in k 0.522 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.522 * [taylor]: Taking taylor expansion of k in k 0.523 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.523 * [taylor]: Taking taylor expansion of 0.5 in k 0.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of k in k 0.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.523 * [taylor]: Taking taylor expansion of 2.0 in k 0.523 * [taylor]: Taking taylor expansion of (* n PI) in k 0.523 * [taylor]: Taking taylor expansion of n in k 0.523 * [taylor]: Taking taylor expansion of PI in k 0.525 * [taylor]: Taking taylor expansion of 0 in n 0.530 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.530 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log PI) in n 0.530 * [taylor]: Taking taylor expansion of PI in n 0.532 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log n) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.533 * [taylor]: Taking taylor expansion of 2.0 in n 0.553 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.553 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.553 * [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 0.553 * [taylor]: Taking taylor expansion of +nan.0 in n 0.553 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.553 * [taylor]: Taking taylor expansion of 0.5 in n 0.553 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.553 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.553 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.553 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.553 * [taylor]: Taking taylor expansion of 1.0 in n 0.553 * [taylor]: Taking taylor expansion of (log PI) in n 0.553 * [taylor]: Taking taylor expansion of PI in n 0.555 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.555 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log n) in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.556 * [taylor]: Taking taylor expansion of 2.0 in n 0.561 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.561 * [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 0.561 * [taylor]: Taking taylor expansion of +nan.0 in n 0.561 * [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 0.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.561 * [taylor]: Taking taylor expansion of 0.5 in n 0.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.561 * [taylor]: Taking taylor expansion of 2.0 in n 0.568 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.569 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log PI) in n 0.569 * [taylor]: Taking taylor expansion of PI in n 0.570 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log n) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.575 * [taylor]: Taking taylor expansion of (* n PI) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.625 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.625 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of +nan.0 in n 0.625 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 n 1.0) (pow PI 1.0)))) in n 0.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 n 1.0) (pow PI 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log n) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (log PI) in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.633 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.633 * [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 0.633 * [taylor]: Taking taylor expansion of +nan.0 in n 0.633 * [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 0.633 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.633 * [taylor]: Taking taylor expansion of 0.5 in n 0.633 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.633 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.633 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.635 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.635 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log PI) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.637 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log n) in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.641 * [taylor]: Taking taylor expansion of 2.0 in n 0.641 * [taylor]: Taking taylor expansion of (* n PI) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of PI in n 0.644 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.644 * [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 0.644 * [taylor]: Taking taylor expansion of +nan.0 in n 0.644 * [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 0.645 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.645 * [taylor]: Taking taylor expansion of 0.5 in n 0.645 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.645 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.645 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.645 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.645 * [taylor]: Taking taylor expansion of 1.0 in n 0.645 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.645 * [taylor]: Taking taylor expansion of 2.0 in n 0.647 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.647 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (log PI) in n 0.647 * [taylor]: Taking taylor expansion of PI in n 0.649 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.649 * [taylor]: Taking taylor expansion of 1.0 in n 0.649 * [taylor]: Taking taylor expansion of (log n) in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.653 * [taylor]: Taking taylor expansion of 2.0 in n 0.653 * [taylor]: Taking taylor expansion of (* n PI) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of PI in n 0.732 * [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 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.733 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.733 * [taylor]: Taking taylor expansion of 2.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.733 * [taylor]: Taking taylor expansion of PI in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.737 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.737 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.738 * [taylor]: Taking taylor expansion of 0.5 in k 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.738 * [taylor]: Taking taylor expansion of 2.0 in k 0.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.738 * [taylor]: Taking taylor expansion of PI in k 0.738 * [taylor]: Taking taylor expansion of n in k 0.739 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.739 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.741 * [taylor]: Taking taylor expansion of 0.5 in k 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.741 * [taylor]: Taking taylor expansion of 2.0 in k 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.741 * [taylor]: Taking taylor expansion of PI in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.742 * [taylor]: Taking taylor expansion of 0 in n 0.748 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.748 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.748 * [taylor]: Taking taylor expansion of +nan.0 in n 0.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.748 * [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 0.759 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.759 * [taylor]: Taking taylor expansion of +nan.0 in n 0.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.759 * [taylor]: Taking taylor expansion of 0.5 in n 0.759 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.759 * [taylor]: Taking taylor expansion of 2.0 in n 0.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.759 * [taylor]: Taking taylor expansion of PI in n 0.759 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.760 * [taylor]: Taking taylor expansion of k in n 0.777 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.777 * [taylor]: Taking taylor expansion of +nan.0 in n 0.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.777 * [taylor]: Taking taylor expansion of 0.5 in n 0.777 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.777 * [taylor]: Taking taylor expansion of 2.0 in n 0.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.777 * [taylor]: Taking taylor expansion of PI in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.778 * [taylor]: Taking taylor expansion of 1.0 in n 0.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.778 * [taylor]: Taking taylor expansion of k in n 0.787 * [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 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.788 * [taylor]: Taking taylor expansion of 1.0 in n 0.788 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.788 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.788 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.788 * [taylor]: Taking taylor expansion of 0.5 in n 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.788 * [taylor]: Taking taylor expansion of k in n 0.788 * [taylor]: Taking taylor expansion of 1.0 in n 0.788 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.788 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.788 * [taylor]: Taking taylor expansion of -2.0 in n 0.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.792 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.792 * [taylor]: Taking taylor expansion of -1 in n 0.792 * [taylor]: Taking taylor expansion of k in n 0.793 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.793 * [taylor]: Taking taylor expansion of 1.0 in k 0.793 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.793 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.793 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.793 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.793 * [taylor]: Taking taylor expansion of 0.5 in k 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.793 * [taylor]: Taking taylor expansion of k in k 0.793 * [taylor]: Taking taylor expansion of 1.0 in k 0.793 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.793 * [taylor]: Taking taylor expansion of -2.0 in k 0.793 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.793 * [taylor]: Taking taylor expansion of PI in k 0.793 * [taylor]: Taking taylor expansion of n in k 0.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.794 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.794 * [taylor]: Taking taylor expansion of -1 in k 0.794 * [taylor]: Taking taylor expansion of k in k 0.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.795 * [taylor]: Taking taylor expansion of 1.0 in k 0.795 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.795 * [taylor]: Taking taylor expansion of 0.5 in k 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.796 * [taylor]: Taking taylor expansion of k in k 0.796 * [taylor]: Taking taylor expansion of 1.0 in k 0.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.796 * [taylor]: Taking taylor expansion of -2.0 in k 0.796 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.796 * [taylor]: Taking taylor expansion of PI in k 0.796 * [taylor]: Taking taylor expansion of n in k 0.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.797 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.797 * [taylor]: Taking taylor expansion of -1 in k 0.797 * [taylor]: Taking taylor expansion of k in k 0.798 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.798 * [taylor]: Taking taylor expansion of +nan.0 in n 0.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.798 * [taylor]: Taking taylor expansion of 0.5 in n 0.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.799 * [taylor]: Taking taylor expansion of k in n 0.799 * [taylor]: Taking taylor expansion of 1.0 in n 0.799 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.799 * [taylor]: Taking taylor expansion of -2.0 in n 0.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.799 * [taylor]: Taking taylor expansion of PI in n 0.799 * [taylor]: Taking taylor expansion of n in n 0.808 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.808 * [taylor]: Taking taylor expansion of +nan.0 in n 0.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.808 * [taylor]: Taking taylor expansion of 0.5 in n 0.808 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.808 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.808 * [taylor]: Taking taylor expansion of k in n 0.808 * [taylor]: Taking taylor expansion of 1.0 in n 0.808 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.808 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.808 * [taylor]: Taking taylor expansion of -2.0 in n 0.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.808 * [taylor]: Taking taylor expansion of PI in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.826 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.826 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.826 * [taylor]: Taking taylor expansion of +nan.0 in n 0.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.826 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.826 * [taylor]: Taking taylor expansion of 0.5 in n 0.826 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.826 * [taylor]: Taking taylor expansion of k in n 0.827 * [taylor]: Taking taylor expansion of 1.0 in n 0.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.827 * [taylor]: Taking taylor expansion of -2.0 in n 0.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.827 * [taylor]: Taking taylor expansion of PI in n 0.827 * [taylor]: Taking taylor expansion of n in n 0.841 * * * [progress]: simplifying candidates 0.844 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (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)))) (* (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))))) (cbrt (* (/ 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))) (* (/ 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)))) (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) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (neg (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (neg (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.854 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.871 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.933 * * [simplify]: iteration 2 : 5003 enodes (cost 1344 ) 0.940 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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))))) (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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (+ (/ 1 k) (/ -1 (pow k 3)))) (/ (neg +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (neg +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.941 * * * [progress]: adding candidates to table 1.317 * * [progress]: iteration 2 / 4 1.317 * * * [progress]: picking best candidate 1.345 * * * * [pick]: Picked # 1.345 * * * [progress]: localizing error 1.365 * * * [progress]: generating rewritten candidates 1.365 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.392 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.407 * * * [progress]: generating series expansions 1.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.408 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.408 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.408 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.408 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.409 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.409 * [taylor]: Taking taylor expansion of 1.0 in k 1.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.410 * [taylor]: Taking taylor expansion of 2.0 in k 1.410 * [taylor]: Taking taylor expansion of (* n PI) in k 1.410 * [taylor]: Taking taylor expansion of n in k 1.410 * [taylor]: Taking taylor expansion of PI in k 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.411 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.411 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.411 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.411 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.411 * [taylor]: Taking taylor expansion of k in n 1.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.411 * [taylor]: Taking taylor expansion of 1.0 in n 1.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.412 * [taylor]: Taking taylor expansion of (* n PI) in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of PI in n 1.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.418 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.418 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.419 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.419 * [taylor]: Taking taylor expansion of k in n 1.419 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.419 * [taylor]: Taking taylor expansion of 1.0 in n 1.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.419 * [taylor]: Taking taylor expansion of 2.0 in n 1.419 * [taylor]: Taking taylor expansion of (* n PI) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.419 * [taylor]: Taking taylor expansion of PI in n 1.426 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 1.426 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 1.426 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.426 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.426 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.426 * [taylor]: Taking taylor expansion of 2.0 in k 1.426 * [taylor]: Taking taylor expansion of PI in k 1.427 * [taylor]: Taking taylor expansion of (log n) in k 1.427 * [taylor]: Taking taylor expansion of n in k 1.427 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.427 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.427 * [taylor]: Taking taylor expansion of k in k 1.428 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.428 * [taylor]: Taking taylor expansion of 1.0 in k 1.438 * [taylor]: Taking taylor expansion of 0 in k 1.454 * [taylor]: Taking taylor expansion of 0 in k 1.487 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 1.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.487 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.487 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.487 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.487 * [taylor]: Taking taylor expansion of 1.0 in k 1.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.488 * [taylor]: Taking taylor expansion of k in k 1.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.489 * [taylor]: Taking taylor expansion of 2.0 in k 1.489 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.489 * [taylor]: Taking taylor expansion of PI in k 1.489 * [taylor]: Taking taylor expansion of n in k 1.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.493 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.493 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.493 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.493 * [taylor]: Taking taylor expansion of 1.0 in n 1.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.493 * [taylor]: Taking taylor expansion of k in n 1.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.494 * [taylor]: Taking taylor expansion of 2.0 in n 1.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.494 * [taylor]: Taking taylor expansion of PI in n 1.494 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.498 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.498 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.499 * [taylor]: Taking taylor expansion of k in n 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.499 * [taylor]: Taking taylor expansion of 2.0 in n 1.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.499 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.504 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.504 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.504 * [taylor]: Taking taylor expansion of 2.0 in k 1.504 * [taylor]: Taking taylor expansion of PI in k 1.505 * [taylor]: Taking taylor expansion of (log n) in k 1.505 * [taylor]: Taking taylor expansion of n in k 1.505 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.505 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.505 * [taylor]: Taking taylor expansion of 1.0 in k 1.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.506 * [taylor]: Taking taylor expansion of k in k 1.524 * [taylor]: Taking taylor expansion of 0 in k 1.548 * [taylor]: Taking taylor expansion of 0 in k 1.594 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 1.594 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 1.594 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 1.594 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 1.594 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.594 * [taylor]: Taking taylor expansion of -1 in k 1.595 * [taylor]: Taking taylor expansion of k in k 1.596 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.597 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.597 * [taylor]: Taking taylor expansion of -2.0 in k 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.597 * [taylor]: Taking taylor expansion of PI in k 1.597 * [taylor]: Taking taylor expansion of n in k 1.600 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.600 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.600 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.600 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.600 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.600 * [taylor]: Taking taylor expansion of -1 in n 1.600 * [taylor]: Taking taylor expansion of k in n 1.600 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.600 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.601 * [taylor]: Taking taylor expansion of -2.0 in n 1.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.601 * [taylor]: Taking taylor expansion of PI in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.606 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.606 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.606 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.606 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.606 * [taylor]: Taking taylor expansion of -1 in n 1.606 * [taylor]: Taking taylor expansion of k in n 1.606 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of -2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 1.611 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 1.611 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.611 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.611 * [taylor]: Taking taylor expansion of -1 in k 1.611 * [taylor]: Taking taylor expansion of k in k 1.613 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.613 * [taylor]: Taking taylor expansion of 1.0 in k 1.614 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.614 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.614 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.614 * [taylor]: Taking taylor expansion of -2.0 in k 1.614 * [taylor]: Taking taylor expansion of PI in k 1.615 * [taylor]: Taking taylor expansion of (log n) in k 1.615 * [taylor]: Taking taylor expansion of n in k 1.632 * [taylor]: Taking taylor expansion of 0 in k 1.665 * [taylor]: Taking taylor expansion of 0 in k 1.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.710 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 1.710 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 1.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 1.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 1.710 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 1.710 * [taylor]: Taking taylor expansion of 0.5 in k 1.710 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.710 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 1.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.712 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.712 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.712 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.712 * [taylor]: Taking taylor expansion of k in k 1.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.713 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.714 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.714 * [taylor]: Taking taylor expansion of 2.0 in k 1.714 * [taylor]: Taking taylor expansion of (* n PI) in k 1.714 * [taylor]: Taking taylor expansion of n in k 1.714 * [taylor]: Taking taylor expansion of PI in k 1.718 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.719 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.719 * [taylor]: Taking taylor expansion of 0.5 in n 1.719 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.719 * [taylor]: Taking taylor expansion of 1.0 in n 1.719 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.719 * [taylor]: Taking taylor expansion of k in n 1.719 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.719 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.719 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.719 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.720 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.720 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.720 * [taylor]: Taking taylor expansion of k in n 1.720 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.720 * [taylor]: Taking taylor expansion of 1.0 in n 1.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.720 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.720 * [taylor]: Taking taylor expansion of 2.0 in n 1.720 * [taylor]: Taking taylor expansion of (* n PI) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.720 * [taylor]: Taking taylor expansion of PI in n 1.731 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.731 * [taylor]: Taking taylor expansion of 0.5 in n 1.731 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.731 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.731 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.732 * [taylor]: Taking taylor expansion of k in n 1.732 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.732 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.732 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.732 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.732 * [taylor]: Taking taylor expansion of k in n 1.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.733 * [taylor]: Taking taylor expansion of 2.0 in n 1.733 * [taylor]: Taking taylor expansion of (* n PI) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 1.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 1.743 * [taylor]: Taking taylor expansion of 0.5 in k 1.743 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 1.743 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.743 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.743 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.743 * [taylor]: Taking taylor expansion of 2.0 in k 1.743 * [taylor]: Taking taylor expansion of PI in k 1.744 * [taylor]: Taking taylor expansion of (log n) in k 1.744 * [taylor]: Taking taylor expansion of n in k 1.744 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 1.744 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.744 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.745 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.746 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.747 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.747 * [taylor]: Taking taylor expansion of k in k 1.775 * [taylor]: Taking taylor expansion of 0 in k 1.812 * [taylor]: Taking taylor expansion of 0 in k 1.879 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 1.879 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.879 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.879 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.879 * [taylor]: Taking taylor expansion of 0.5 in k 1.879 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.879 * [taylor]: Taking taylor expansion of 1.0 in k 1.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.880 * [taylor]: Taking taylor expansion of k in k 1.881 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.881 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.881 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.881 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.881 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.881 * [taylor]: Taking taylor expansion of 1.0 in k 1.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.882 * [taylor]: Taking taylor expansion of k in k 1.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.883 * [taylor]: Taking taylor expansion of 2.0 in k 1.883 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.883 * [taylor]: Taking taylor expansion of PI in k 1.883 * [taylor]: Taking taylor expansion of n in k 1.901 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.901 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.901 * [taylor]: Taking taylor expansion of 0.5 in n 1.901 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.901 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.901 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.902 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.902 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.902 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.902 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.903 * [taylor]: Taking taylor expansion of k in n 1.903 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.903 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.903 * [taylor]: Taking taylor expansion of 2.0 in n 1.903 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.903 * [taylor]: Taking taylor expansion of PI in n 1.903 * [taylor]: Taking taylor expansion of n in n 1.911 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.912 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.912 * [taylor]: Taking taylor expansion of 0.5 in n 1.912 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.912 * [taylor]: Taking taylor expansion of 1.0 in n 1.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.912 * [taylor]: Taking taylor expansion of k in n 1.913 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.913 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.913 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.913 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.913 * [taylor]: Taking taylor expansion of 1.0 in n 1.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.913 * [taylor]: Taking taylor expansion of k in n 1.914 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.914 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.914 * [taylor]: Taking taylor expansion of 2.0 in n 1.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.914 * [taylor]: Taking taylor expansion of PI in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.922 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.922 * [taylor]: Taking taylor expansion of 0.5 in k 1.922 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.922 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.922 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.922 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.922 * [taylor]: Taking taylor expansion of 2.0 in k 1.922 * [taylor]: Taking taylor expansion of PI in k 1.923 * [taylor]: Taking taylor expansion of (log n) in k 1.923 * [taylor]: Taking taylor expansion of n in k 1.923 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.923 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.923 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.923 * [taylor]: Taking taylor expansion of 1.0 in k 1.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.924 * [taylor]: Taking taylor expansion of k in k 1.926 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.926 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.926 * [taylor]: Taking taylor expansion of 1.0 in k 1.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.926 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.926 * [taylor]: Taking taylor expansion of k in k 1.990 * [taylor]: Taking taylor expansion of 0 in k 2.069 * [taylor]: Taking taylor expansion of 0 in k 2.214 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 2.214 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 2.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 2.214 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.214 * [taylor]: Taking taylor expansion of 0.5 in k 2.214 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.214 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.214 * [taylor]: Taking taylor expansion of 1.0 in k 2.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.215 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.215 * [taylor]: Taking taylor expansion of -1 in k 2.215 * [taylor]: Taking taylor expansion of k in k 2.216 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 2.216 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 2.216 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 2.216 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 2.216 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.216 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.216 * [taylor]: Taking taylor expansion of -1 in k 2.216 * [taylor]: Taking taylor expansion of k in k 2.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.218 * [taylor]: Taking taylor expansion of 1.0 in k 2.218 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.218 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.218 * [taylor]: Taking taylor expansion of -2.0 in k 2.219 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.219 * [taylor]: Taking taylor expansion of PI in k 2.219 * [taylor]: Taking taylor expansion of n in k 2.236 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.236 * [taylor]: Taking taylor expansion of 0.5 in n 2.236 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.236 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.236 * [taylor]: Taking taylor expansion of 1.0 in n 2.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.237 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.237 * [taylor]: Taking taylor expansion of -1 in n 2.237 * [taylor]: Taking taylor expansion of k in n 2.237 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.237 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.237 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.237 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.237 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.237 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.237 * [taylor]: Taking taylor expansion of -1 in n 2.237 * [taylor]: Taking taylor expansion of k in n 2.237 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.237 * [taylor]: Taking taylor expansion of 1.0 in n 2.238 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.238 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.238 * [taylor]: Taking taylor expansion of -2.0 in n 2.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.238 * [taylor]: Taking taylor expansion of PI in n 2.238 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.247 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.247 * [taylor]: Taking taylor expansion of 0.5 in n 2.247 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.247 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.247 * [taylor]: Taking taylor expansion of 1.0 in n 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.248 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.248 * [taylor]: Taking taylor expansion of -1 in n 2.248 * [taylor]: Taking taylor expansion of k in n 2.248 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.248 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.248 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.248 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.248 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.248 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.248 * [taylor]: Taking taylor expansion of -1 in n 2.248 * [taylor]: Taking taylor expansion of k in n 2.248 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.248 * [taylor]: Taking taylor expansion of 1.0 in n 2.249 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.249 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.249 * [taylor]: Taking taylor expansion of -2.0 in n 2.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.249 * [taylor]: Taking taylor expansion of PI in n 2.249 * [taylor]: Taking taylor expansion of n in n 2.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 2.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 2.258 * [taylor]: Taking taylor expansion of 0.5 in k 2.258 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.258 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.258 * [taylor]: Taking taylor expansion of -1 in k 2.258 * [taylor]: Taking taylor expansion of k in k 2.259 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.259 * [taylor]: Taking taylor expansion of 1.0 in k 2.260 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.260 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.260 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.260 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.260 * [taylor]: Taking taylor expansion of -2.0 in k 2.260 * [taylor]: Taking taylor expansion of PI in k 2.261 * [taylor]: Taking taylor expansion of (log n) in k 2.261 * [taylor]: Taking taylor expansion of n in k 2.261 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.261 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.261 * [taylor]: Taking taylor expansion of 1.0 in k 2.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.262 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.262 * [taylor]: Taking taylor expansion of -1 in k 2.262 * [taylor]: Taking taylor expansion of k in k 2.331 * [taylor]: Taking taylor expansion of 0 in k 2.410 * [taylor]: Taking taylor expansion of 0 in k 2.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.563 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.565 * [taylor]: Taking taylor expansion of 1.0 in k 2.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.565 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.565 * [taylor]: Taking taylor expansion of k in k 2.577 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.577 * [taylor]: Taking taylor expansion of k in k 2.578 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.578 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.578 * [taylor]: Taking taylor expansion of k in k 2.588 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.588 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.588 * [taylor]: Taking taylor expansion of 1.0 in k 2.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.588 * [taylor]: Taking taylor expansion of -1 in k 2.588 * [taylor]: Taking taylor expansion of k in k 2.590 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.590 * [taylor]: Taking taylor expansion of 1.0 in k 2.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.590 * [taylor]: Taking taylor expansion of -1 in k 2.590 * [taylor]: Taking taylor expansion of k in k 2.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.602 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.602 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.602 * [taylor]: Taking taylor expansion of 2.0 in n 2.603 * [taylor]: Taking taylor expansion of (* n PI) in n 2.603 * [taylor]: Taking taylor expansion of n in n 2.603 * [taylor]: Taking taylor expansion of PI in n 2.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.603 * [taylor]: Taking taylor expansion of 2.0 in n 2.603 * [taylor]: Taking taylor expansion of (* n PI) in n 2.603 * [taylor]: Taking taylor expansion of n in n 2.603 * [taylor]: Taking taylor expansion of PI in n 2.615 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of 2.0 in n 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [taylor]: Taking taylor expansion of n in n 2.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of 2.0 in n 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [taylor]: Taking taylor expansion of n in n 2.632 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.632 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.632 * [taylor]: Taking taylor expansion of -2.0 in n 2.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.632 * [taylor]: Taking taylor expansion of PI in n 2.632 * [taylor]: Taking taylor expansion of n in n 2.632 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.633 * [taylor]: Taking taylor expansion of -2.0 in n 2.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.633 * [taylor]: Taking taylor expansion of PI in n 2.633 * [taylor]: Taking taylor expansion of n in n 2.641 * * * [progress]: simplifying candidates 2.644 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) 1) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (log (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (exp (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (pow (log n) 2)))) (neg (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (neg (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))) (neg (+ (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n)))) (neg (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (neg (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0)))))) (neg (* +nan.0 (* k (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (log n))))))))))))))))) (- (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (neg (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2)))))))))))))))) (- (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) k)) (neg (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n)))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) k)) (neg (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2)))))))))))))))) (- (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (neg (+ (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (neg (+ (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (neg (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (neg (+ (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (neg (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (neg (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (neg (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (neg (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))))))))))))))))))) (- (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))) (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) k)) (neg (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) k)) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) k)) (neg (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (neg (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) k))))))))))))))))))))))))))))))))))) (- (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))) (neg (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k))))))))))))))))))))))))))))))))))) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.670 * * [simplify]: iteration 0 : 1827 enodes (cost 3752 ) 2.697 * * [simplify]: iteration 1 : 5001 enodes (cost 3640 ) 2.711 * [simplify]: Simplified to: (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n))) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n))) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n))) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n))) (+ (sqrt 1.0) (sqrt k)) (+ (sqrt 1.0) (sqrt k)) (+ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) 3) (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 2)) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (/ (* (+ (sqrt 1.0) (sqrt k)) (- (sqrt 1.0) (sqrt k))) 2.0) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 1 (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (- (sqrt 1.0) (sqrt k)) 2.0) (* (+ (sqrt 1.0) (sqrt k)) (log (* (* 2.0 PI) n)))) (exp (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) 3) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (/ (/ (- (sqrt 1.0) (sqrt k)) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (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 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 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)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (- (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0)) (* +nan.0 (* (pow k 2) (* (exp (* (+ (log (* 2.0 PI)) (log n)) (sqrt 1.0))) (pow (log n) 2))))) (* (neg (* +nan.0 (pow k 2))) (* (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0)) (log (* 2.0 PI))))) (+ (+ (* (* (* (* (log n) (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0))) (log (* 2.0 PI))) (pow k 2)) +nan.0) (* (neg (* +nan.0 (pow k 2))) (* (log n) (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0))))) (+ (+ (* (* (* k (log (* 2.0 PI))) (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0))) +nan.0) (* (neg (* +nan.0 (pow k 2))) (* (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0)) (pow (log (* 2.0 PI)) 2)))) (* (* (* k (pow (exp (log (* (* 2.0 PI) n))) (sqrt 1.0))) (log n)) +nan.0)))) (- (- (- (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2)))) (* (neg +nan.0) (* (/ (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))) k) (/ (pow (log n) 2) k)))) (- (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) k)) (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* (log (* 2.0 PI)) (sqrt 1.0)) (+ (* +nan.0 (log (/ 1 n))) (- (* (log (/ 1 n)) (sqrt 1.0)) (* +nan.0 (log (* 2.0 PI)))))))) (pow k 2)))))))) (- (- (- (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) (pow k 2)))) (neg (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (* -2.0 PI))) k)) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (log (/ -1 n))) k)) (* +nan.0 (/ (* (exp (- (* (sqrt 1.0) (log (* -2.0 PI))) (+ (* (sqrt 1.0) (log (/ -1 n))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (log (* -2.0 PI))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2)))))))) (- (- (pow (exp (* 0.5 (log (* (* 2.0 PI) n)))) (pow (sqrt 1.0) 2)) (+ (neg (* +nan.0 (* k (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (* +nan.0 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (pow (log n) 2))))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))))) (- (* +nan.0 (* (pow k 2) (* (sqrt 1.0) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n))))) (- (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))) (log n)))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))) (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2)))))))))))))))) (* +nan.0 (* k (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (pow (sqrt 1.0) 2))))))))) (- (- (- (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))) (* +nan.0 (/ (* (log (/ 1 n)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2)))) (neg (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))))) (- (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) k)) (- (* +nan.0 (/ (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) k)) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) k)) (- (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (/ 1 n)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (* (pow (sqrt 1.0) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (pow (log (/ 1 n)) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (log (* 2.0 PI)) (* (sqrt 1.0) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI))))))))))))))) (pow k 2))) (- (* +nan.0 (/ (* (pow (log (* 2.0 PI)) 2) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) (pow k 2))) (* +nan.0 (/ (* (log (* 2.0 PI)) (exp (- (* 0.5 (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (+ (* 0.5 (* (log (/ 1 n)) (pow (sqrt 1.0) 2))) (neg (+ (* +nan.0 (* (log (* 2.0 PI)) (sqrt 1.0))) (neg (+ (* +nan.0 (log (/ 1 n))) (neg (+ (* +nan.0 (* (log (/ 1 n)) (sqrt 1.0))) (neg (* +nan.0 (log (* 2.0 PI)))))))))))))) k))))))))))))))))) (- (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (log (* -2.0 PI))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (/ -1 n)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (* -2.0 PI)) 2)) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI)))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (/ -1 n)))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (/ -1 n)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (log (* -2.0 PI))))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) k)) (neg (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (* -2.0 PI))) (pow k 2))) (neg (+ (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2))) (neg (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (neg (+ (* +nan.0 (log (/ -1 n))) (neg (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k))))))))))))))))))))))))))))))))))) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (neg (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (neg (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.713 * * * [progress]: adding candidates to table 3.194 * * [progress]: iteration 3 / 4 3.195 * * * [progress]: picking best candidate 3.226 * * * * [pick]: Picked # 3.226 * * * [progress]: localizing error 3.242 * * * [progress]: generating rewritten candidates 3.242 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.251 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.257 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.269 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.277 * * * [progress]: generating series expansions 3.277 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.278 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.278 * [taylor]: Taking taylor expansion of 2.0 in n 3.278 * [taylor]: Taking taylor expansion of (* n PI) in n 3.278 * [taylor]: Taking taylor expansion of n in n 3.278 * [taylor]: Taking taylor expansion of PI in n 3.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.278 * [taylor]: Taking taylor expansion of 2.0 in n 3.278 * [taylor]: Taking taylor expansion of (* n PI) in n 3.278 * [taylor]: Taking taylor expansion of n in n 3.278 * [taylor]: Taking taylor expansion of PI in n 3.291 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.291 * [taylor]: Taking taylor expansion of 2.0 in n 3.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.292 * [taylor]: Taking taylor expansion of PI in n 3.292 * [taylor]: Taking taylor expansion of n in n 3.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.292 * [taylor]: Taking taylor expansion of 2.0 in n 3.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.292 * [taylor]: Taking taylor expansion of PI in n 3.292 * [taylor]: Taking taylor expansion of n in n 3.301 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.301 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.301 * [taylor]: Taking taylor expansion of 2.0 in n 3.301 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.301 * [taylor]: Taking taylor expansion of PI in n 3.301 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.301 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.301 * [taylor]: Taking taylor expansion of -1 in n 3.301 * [taylor]: Taking taylor expansion of n in n 3.303 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.303 * [taylor]: Taking taylor expansion of 2.0 in n 3.303 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.303 * [taylor]: Taking taylor expansion of PI in n 3.303 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.303 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.303 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.303 * [taylor]: Taking taylor expansion of -1 in n 3.303 * [taylor]: Taking taylor expansion of n in n 3.329 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.329 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 3.329 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.329 * [taylor]: Taking taylor expansion of 2.0 in n 3.329 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.329 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.329 * [taylor]: Taking taylor expansion of n in n 3.330 * [taylor]: Taking taylor expansion of PI in n 3.330 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.330 * [taylor]: Taking taylor expansion of 2.0 in n 3.330 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.330 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.330 * [taylor]: Taking taylor expansion of n in n 3.331 * [taylor]: Taking taylor expansion of PI in n 3.352 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 3.352 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.353 * [taylor]: Taking taylor expansion of 2.0 in n 3.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.353 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.354 * [taylor]: Taking taylor expansion of PI in n 3.354 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.354 * [taylor]: Taking taylor expansion of 2.0 in n 3.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.354 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.354 * [taylor]: Taking taylor expansion of n in n 3.355 * [taylor]: Taking taylor expansion of PI in n 3.377 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 3.377 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.377 * [taylor]: Taking taylor expansion of 2.0 in n 3.377 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.377 * [taylor]: Taking taylor expansion of PI in n 3.377 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.377 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.377 * [taylor]: Taking taylor expansion of -1 in n 3.377 * [taylor]: Taking taylor expansion of n in n 3.379 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.379 * [taylor]: Taking taylor expansion of 2.0 in n 3.379 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.379 * [taylor]: Taking taylor expansion of PI in n 3.379 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.379 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.379 * [taylor]: Taking taylor expansion of -1 in n 3.379 * [taylor]: Taking taylor expansion of n in n 3.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.407 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.407 * [taylor]: Taking taylor expansion of 0.5 in k 3.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.407 * [taylor]: Taking taylor expansion of 1.0 in k 3.407 * [taylor]: Taking taylor expansion of k in k 3.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.407 * [taylor]: Taking taylor expansion of 2.0 in k 3.407 * [taylor]: Taking taylor expansion of (* n PI) in k 3.408 * [taylor]: Taking taylor expansion of n in k 3.408 * [taylor]: Taking taylor expansion of PI in k 3.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.409 * [taylor]: Taking taylor expansion of 0.5 in n 3.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.409 * [taylor]: Taking taylor expansion of 1.0 in n 3.409 * [taylor]: Taking taylor expansion of k in n 3.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.409 * [taylor]: Taking taylor expansion of 2.0 in n 3.409 * [taylor]: Taking taylor expansion of (* n PI) in n 3.409 * [taylor]: Taking taylor expansion of n in n 3.409 * [taylor]: Taking taylor expansion of PI in n 3.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.414 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.414 * [taylor]: Taking taylor expansion of 0.5 in n 3.414 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.414 * [taylor]: Taking taylor expansion of 1.0 in n 3.414 * [taylor]: Taking taylor expansion of k in n 3.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.414 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.414 * [taylor]: Taking taylor expansion of 2.0 in n 3.414 * [taylor]: Taking taylor expansion of (* n PI) in n 3.414 * [taylor]: Taking taylor expansion of n in n 3.414 * [taylor]: Taking taylor expansion of PI in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.420 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.420 * [taylor]: Taking taylor expansion of 0.5 in k 3.420 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.420 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.420 * [taylor]: Taking taylor expansion of 1.0 in k 3.420 * [taylor]: Taking taylor expansion of k in k 3.420 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.420 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.420 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.420 * [taylor]: Taking taylor expansion of 2.0 in k 3.420 * [taylor]: Taking taylor expansion of PI in k 3.421 * [taylor]: Taking taylor expansion of (log n) in k 3.421 * [taylor]: Taking taylor expansion of n in k 3.430 * [taylor]: Taking taylor expansion of 0 in k 3.446 * [taylor]: Taking taylor expansion of 0 in k 3.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.465 * [taylor]: Taking taylor expansion of 0.5 in k 3.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.465 * [taylor]: Taking taylor expansion of 1.0 in k 3.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.465 * [taylor]: Taking taylor expansion of k in k 3.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.466 * [taylor]: Taking taylor expansion of 2.0 in k 3.466 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.466 * [taylor]: Taking taylor expansion of PI in k 3.466 * [taylor]: Taking taylor expansion of n in k 3.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.467 * [taylor]: Taking taylor expansion of 0.5 in n 3.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.467 * [taylor]: Taking taylor expansion of 1.0 in n 3.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.467 * [taylor]: Taking taylor expansion of k in n 3.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.467 * [taylor]: Taking taylor expansion of 2.0 in n 3.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.467 * [taylor]: Taking taylor expansion of n in n 3.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.471 * [taylor]: Taking taylor expansion of 0.5 in n 3.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.471 * [taylor]: Taking taylor expansion of 1.0 in n 3.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.471 * [taylor]: Taking taylor expansion of k in n 3.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.471 * [taylor]: Taking taylor expansion of 2.0 in n 3.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.471 * [taylor]: Taking taylor expansion of PI in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.475 * [taylor]: Taking taylor expansion of 0.5 in k 3.475 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.475 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.475 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.475 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.475 * [taylor]: Taking taylor expansion of 2.0 in k 3.475 * [taylor]: Taking taylor expansion of PI in k 3.476 * [taylor]: Taking taylor expansion of (log n) in k 3.476 * [taylor]: Taking taylor expansion of n in k 3.476 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.476 * [taylor]: Taking taylor expansion of 1.0 in k 3.476 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.476 * [taylor]: Taking taylor expansion of k in k 3.485 * [taylor]: Taking taylor expansion of 0 in k 3.499 * [taylor]: Taking taylor expansion of 0 in k 3.509 * [taylor]: Taking taylor expansion of 0 in k 3.510 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 3.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 3.510 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.510 * [taylor]: Taking taylor expansion of 0.5 in k 3.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.510 * [taylor]: Taking taylor expansion of k in k 3.511 * [taylor]: Taking taylor expansion of 1.0 in k 3.511 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 3.511 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 3.511 * [taylor]: Taking taylor expansion of 2.0 in k 3.511 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 3.511 * [taylor]: Taking taylor expansion of PI in k 3.511 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 3.511 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.511 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.511 * [taylor]: Taking taylor expansion of -1 in k 3.511 * [taylor]: Taking taylor expansion of n in k 3.512 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.512 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.512 * [taylor]: Taking taylor expansion of 0.5 in n 3.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.512 * [taylor]: Taking taylor expansion of k in n 3.512 * [taylor]: Taking taylor expansion of 1.0 in n 3.512 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.512 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.512 * [taylor]: Taking taylor expansion of 2.0 in n 3.512 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.512 * [taylor]: Taking taylor expansion of PI in n 3.512 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.512 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.512 * [taylor]: Taking taylor expansion of -1 in n 3.512 * [taylor]: Taking taylor expansion of n in n 3.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.517 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.517 * [taylor]: Taking taylor expansion of 0.5 in n 3.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.517 * [taylor]: Taking taylor expansion of k in n 3.517 * [taylor]: Taking taylor expansion of 1.0 in n 3.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.517 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.517 * [taylor]: Taking taylor expansion of 2.0 in n 3.517 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.517 * [taylor]: Taking taylor expansion of PI in n 3.517 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.517 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.517 * [taylor]: Taking taylor expansion of -1 in n 3.517 * [taylor]: Taking taylor expansion of n in n 3.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.522 * [taylor]: Taking taylor expansion of 0.5 in k 3.522 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.522 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.522 * [taylor]: Taking taylor expansion of k in k 3.522 * [taylor]: Taking taylor expansion of 1.0 in k 3.522 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.522 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.522 * [taylor]: Taking taylor expansion of +nan.0 in k 3.522 * [taylor]: Taking taylor expansion of PI in k 3.542 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 k)) (neg +nan.0)))) in k 3.542 * [taylor]: Taking taylor expansion of -1 in k 3.542 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 k)) (neg +nan.0))) in k 3.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.542 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.542 * [taylor]: Taking taylor expansion of 0.5 in k 3.542 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.542 * [taylor]: Taking taylor expansion of k in k 3.543 * [taylor]: Taking taylor expansion of 1.0 in k 3.543 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.543 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.543 * [taylor]: Taking taylor expansion of +nan.0 in k 3.543 * [taylor]: Taking taylor expansion of PI in k 3.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (neg +nan.0)) in k 3.547 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.547 * [taylor]: Taking taylor expansion of +nan.0 in k 3.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.547 * [taylor]: Taking taylor expansion of k in k 3.547 * [taylor]: Taking taylor expansion of (neg +nan.0) in k 3.547 * [taylor]: Taking taylor expansion of +nan.0 in k 3.583 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 3.584 * [taylor]: Taking taylor expansion of -1 in k 3.584 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 3.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0)))) in k 3.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 3.584 * [taylor]: Taking taylor expansion of +nan.0 in k 3.584 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 3.584 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.584 * [taylor]: Taking taylor expansion of k in k 3.584 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))) in k 3.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (neg +nan.0)) in k 3.584 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.584 * [taylor]: Taking taylor expansion of +nan.0 in k 3.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.584 * [taylor]: Taking taylor expansion of k in k 3.584 * [taylor]: Taking taylor expansion of (neg +nan.0) in k 3.584 * [taylor]: Taking taylor expansion of +nan.0 in k 3.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.585 * [taylor]: Taking taylor expansion of 0.5 in k 3.585 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.585 * [taylor]: Taking taylor expansion of k in k 3.585 * [taylor]: Taking taylor expansion of 1.0 in k 3.585 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.585 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.585 * [taylor]: Taking taylor expansion of +nan.0 in k 3.585 * [taylor]: Taking taylor expansion of PI in k 3.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.607 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.607 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.607 * [taylor]: Taking taylor expansion of 1.0 in k 3.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.607 * [taylor]: Taking taylor expansion of k in k 3.608 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.608 * [taylor]: Taking taylor expansion of 1.0 in k 3.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.608 * [taylor]: Taking taylor expansion of k in k 3.619 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.620 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.620 * [taylor]: Taking taylor expansion of 1.0 in k 3.620 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.620 * [taylor]: Taking taylor expansion of k in k 3.621 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.621 * [taylor]: Taking taylor expansion of 1.0 in k 3.621 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.621 * [taylor]: Taking taylor expansion of k in k 3.631 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.631 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.631 * [taylor]: Taking taylor expansion of 1.0 in k 3.631 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.631 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.631 * [taylor]: Taking taylor expansion of -1 in k 3.631 * [taylor]: Taking taylor expansion of k in k 3.633 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.633 * [taylor]: Taking taylor expansion of 1.0 in k 3.633 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.633 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.633 * [taylor]: Taking taylor expansion of -1 in k 3.633 * [taylor]: Taking taylor expansion of k in k 3.645 * * * [progress]: simplifying candidates 3.647 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (neg (+ (* +nan.0 (* (pow n 2) PI)) (neg (+ (* +nan.0 (* n PI)) (neg (* +nan.0 (* (pow n 3) PI))))))) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (neg (+ (* +nan.0 (/ PI n)) (neg (+ (* +nan.0 (/ PI (pow n 2))) (neg (* +nan.0 PI)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) 3.655 * * [simplify]: iteration 0 : 732 enodes (cost 985 ) 3.667 * * [simplify]: iteration 1 : 3017 enodes (cost 833 ) 3.720 * * [simplify]: iteration 2 : 5002 enodes (cost 812 ) 3.725 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (neg (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* n PI) (* (pow n 3) PI))) (neg (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (neg (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (neg (* +nan.0 (/ PI n)))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (+ (/ 1 k) (/ -1 (pow k 3)))) (/ (neg +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (neg +nan.0) (pow k 2))) 3.726 * * * [progress]: adding candidates to table 4.008 * * [progress]: iteration 4 / 4 4.008 * * * [progress]: picking best candidate 4.037 * * * * [pick]: Picked # 4.037 * * * [progress]: localizing error 4.056 * * * [progress]: generating rewritten candidates 4.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.062 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.088 * * * [progress]: generating series expansions 4.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.090 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 4.090 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.090 * [taylor]: Taking taylor expansion of 0.5 in n 4.090 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.090 * [taylor]: Taking taylor expansion of 2.0 in n 4.090 * [taylor]: Taking taylor expansion of (* n PI) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [taylor]: Taking taylor expansion of PI in n 4.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.096 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.096 * [taylor]: Taking taylor expansion of 0.5 in n 4.096 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.096 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.096 * [taylor]: Taking taylor expansion of 2.0 in n 4.096 * [taylor]: Taking taylor expansion of (* n PI) in n 4.096 * [taylor]: Taking taylor expansion of n in n 4.096 * [taylor]: Taking taylor expansion of PI in n 4.186 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 4.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.186 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.186 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.186 * [taylor]: Taking taylor expansion of 0.5 in n 4.186 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.186 * [taylor]: Taking taylor expansion of 2.0 in n 4.186 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.186 * [taylor]: Taking taylor expansion of PI in n 4.186 * [taylor]: Taking taylor expansion of n in n 4.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.190 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.190 * [taylor]: Taking taylor expansion of 0.5 in n 4.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.190 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.190 * [taylor]: Taking taylor expansion of 2.0 in n 4.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.190 * [taylor]: Taking taylor expansion of PI in n 4.190 * [taylor]: Taking taylor expansion of n in n 4.271 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 4.271 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.271 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.271 * [taylor]: Taking taylor expansion of 0.5 in n 4.271 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.271 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.271 * [taylor]: Taking taylor expansion of -2.0 in n 4.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.271 * [taylor]: Taking taylor expansion of PI in n 4.271 * [taylor]: Taking taylor expansion of n in n 4.274 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.275 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.275 * [taylor]: Taking taylor expansion of 0.5 in n 4.275 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.275 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.275 * [taylor]: Taking taylor expansion of -2.0 in n 4.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.275 * [taylor]: Taking taylor expansion of PI in n 4.275 * [taylor]: Taking taylor expansion of n in n 4.355 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 4.356 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.356 * [taylor]: Taking taylor expansion of 2.0 in n 4.356 * [taylor]: Taking taylor expansion of (* n PI) in n 4.356 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of PI in n 4.356 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.356 * [taylor]: Taking taylor expansion of 2.0 in n 4.356 * [taylor]: Taking taylor expansion of (* n PI) in n 4.356 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of PI in n 4.368 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.368 * [taylor]: Taking taylor expansion of 2.0 in n 4.368 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.368 * [taylor]: Taking taylor expansion of PI in n 4.368 * [taylor]: Taking taylor expansion of n in n 4.369 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.369 * [taylor]: Taking taylor expansion of 2.0 in n 4.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.369 * [taylor]: Taking taylor expansion of PI in n 4.369 * [taylor]: Taking taylor expansion of n in n 4.378 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.378 * [taylor]: Taking taylor expansion of -2.0 in n 4.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.378 * [taylor]: Taking taylor expansion of PI in n 4.378 * [taylor]: Taking taylor expansion of n in n 4.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.378 * [taylor]: Taking taylor expansion of -2.0 in n 4.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.378 * [taylor]: Taking taylor expansion of PI in n 4.378 * [taylor]: Taking taylor expansion of n in n 4.387 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.388 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.388 * [taylor]: Taking taylor expansion of 2.0 in n 4.388 * [taylor]: Taking taylor expansion of (* n PI) in n 4.388 * [taylor]: Taking taylor expansion of n in n 4.388 * [taylor]: Taking taylor expansion of PI in n 4.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.388 * [taylor]: Taking taylor expansion of 2.0 in n 4.388 * [taylor]: Taking taylor expansion of (* n PI) in n 4.388 * [taylor]: Taking taylor expansion of n in n 4.388 * [taylor]: Taking taylor expansion of PI in n 4.400 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.400 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.400 * [taylor]: Taking taylor expansion of 2.0 in n 4.400 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.400 * [taylor]: Taking taylor expansion of PI in n 4.400 * [taylor]: Taking taylor expansion of n in n 4.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.401 * [taylor]: Taking taylor expansion of 2.0 in n 4.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.401 * [taylor]: Taking taylor expansion of PI in n 4.401 * [taylor]: Taking taylor expansion of n in n 4.409 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.409 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.409 * [taylor]: Taking taylor expansion of -2.0 in n 4.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.410 * [taylor]: Taking taylor expansion of PI in n 4.410 * [taylor]: Taking taylor expansion of n in n 4.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.410 * [taylor]: Taking taylor expansion of -2.0 in n 4.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.410 * [taylor]: Taking taylor expansion of PI in n 4.410 * [taylor]: Taking taylor expansion of n in n 4.418 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.420 * [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 4.420 * [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 4.420 * [taylor]: Taking taylor expansion of 1.0 in k 4.420 * [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 4.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.420 * [taylor]: Taking taylor expansion of k in k 4.428 * [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 4.428 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.428 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.428 * [taylor]: Taking taylor expansion of 0.5 in k 4.428 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.428 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.428 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.428 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.428 * [taylor]: Taking taylor expansion of 1.0 in k 4.428 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.428 * [taylor]: Taking taylor expansion of 2.0 in k 4.430 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.430 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.430 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.430 * [taylor]: Taking taylor expansion of 1.0 in k 4.430 * [taylor]: Taking taylor expansion of (log n) in k 4.430 * [taylor]: Taking taylor expansion of n in k 4.430 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.430 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.430 * [taylor]: Taking taylor expansion of 1.0 in k 4.430 * [taylor]: Taking taylor expansion of (log PI) in k 4.430 * [taylor]: Taking taylor expansion of PI in k 4.436 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.436 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.436 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.436 * [taylor]: Taking taylor expansion of 0.5 in k 4.436 * [taylor]: Taking taylor expansion of k in k 4.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.436 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.436 * [taylor]: Taking taylor expansion of 2.0 in k 4.436 * [taylor]: Taking taylor expansion of (* n PI) in k 4.436 * [taylor]: Taking taylor expansion of n in k 4.436 * [taylor]: Taking taylor expansion of PI in k 4.439 * [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 4.439 * [taylor]: Taking taylor expansion of 1.0 in n 4.439 * [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 4.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.439 * [taylor]: Taking taylor expansion of k in n 4.439 * [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 4.439 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.439 * [taylor]: Taking taylor expansion of 0.5 in n 4.439 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.439 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.439 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.439 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.439 * [taylor]: Taking taylor expansion of 1.0 in n 4.439 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.439 * [taylor]: Taking taylor expansion of 2.0 in n 4.441 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.441 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.441 * [taylor]: Taking taylor expansion of 1.0 in n 4.441 * [taylor]: Taking taylor expansion of (log n) in n 4.441 * [taylor]: Taking taylor expansion of n in n 4.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.442 * [taylor]: Taking taylor expansion of 1.0 in n 4.442 * [taylor]: Taking taylor expansion of (log PI) in n 4.442 * [taylor]: Taking taylor expansion of PI in n 4.447 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.448 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.448 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.448 * [taylor]: Taking taylor expansion of 0.5 in n 4.448 * [taylor]: Taking taylor expansion of k in n 4.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.448 * [taylor]: Taking taylor expansion of 2.0 in n 4.448 * [taylor]: Taking taylor expansion of (* n PI) in n 4.448 * [taylor]: Taking taylor expansion of n in n 4.448 * [taylor]: Taking taylor expansion of PI in n 4.454 * [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 4.454 * [taylor]: Taking taylor expansion of 1.0 in n 4.454 * [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 4.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.454 * [taylor]: Taking taylor expansion of k in n 4.454 * [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 4.454 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.454 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.454 * [taylor]: Taking taylor expansion of 0.5 in n 4.454 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.454 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.454 * [taylor]: Taking taylor expansion of 1.0 in n 4.454 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.454 * [taylor]: Taking taylor expansion of 2.0 in n 4.456 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.456 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.456 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [taylor]: Taking taylor expansion of (log n) in n 4.456 * [taylor]: Taking taylor expansion of n in n 4.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.457 * [taylor]: Taking taylor expansion of 1.0 in n 4.457 * [taylor]: Taking taylor expansion of (log PI) in n 4.457 * [taylor]: Taking taylor expansion of PI in n 4.462 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.463 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.463 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.463 * [taylor]: Taking taylor expansion of 0.5 in n 4.463 * [taylor]: Taking taylor expansion of k in n 4.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.463 * [taylor]: Taking taylor expansion of 2.0 in n 4.463 * [taylor]: Taking taylor expansion of (* n PI) in n 4.463 * [taylor]: Taking taylor expansion of n in n 4.463 * [taylor]: Taking taylor expansion of PI in n 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 4.474 * [taylor]: Taking taylor expansion of 1.0 in k 4.474 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 4.474 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.474 * [taylor]: Taking taylor expansion of k in k 4.475 * [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 4.475 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.475 * [taylor]: Taking taylor expansion of 0.5 in k 4.475 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.475 * [taylor]: Taking taylor expansion of 1.0 in k 4.475 * [taylor]: Taking taylor expansion of (log PI) in k 4.475 * [taylor]: Taking taylor expansion of PI in k 4.477 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.477 * [taylor]: Taking taylor expansion of 1.0 in k 4.477 * [taylor]: Taking taylor expansion of (log n) in k 4.477 * [taylor]: Taking taylor expansion of n in k 4.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.477 * [taylor]: Taking taylor expansion of 1.0 in k 4.477 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.477 * [taylor]: Taking taylor expansion of 2.0 in k 4.483 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.483 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.483 * [taylor]: Taking taylor expansion of 0.5 in k 4.483 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.483 * [taylor]: Taking taylor expansion of k in k 4.483 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.483 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.483 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.483 * [taylor]: Taking taylor expansion of 2.0 in k 4.483 * [taylor]: Taking taylor expansion of PI in k 4.484 * [taylor]: Taking taylor expansion of (log n) in k 4.484 * [taylor]: Taking taylor expansion of n in k 4.514 * [taylor]: Taking taylor expansion of 0 in k 4.573 * [taylor]: Taking taylor expansion of 0 in k 4.673 * [taylor]: Taking taylor expansion of 0 in k 4.800 * [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 4.800 * [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 4.800 * [taylor]: Taking taylor expansion of 1.0 in k 4.800 * [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 4.800 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.800 * [taylor]: Taking taylor expansion of k in k 4.801 * [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 4.801 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.801 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.801 * [taylor]: Taking taylor expansion of 0.5 in k 4.801 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.801 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.801 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.801 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.801 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.801 * [taylor]: Taking taylor expansion of 1.0 in k 4.801 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.801 * [taylor]: Taking taylor expansion of 2.0 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 4.803 * [taylor]: Taking taylor expansion of PI 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 4.805 * [taylor]: Taking taylor expansion of 1.0 in k 4.805 * [taylor]: Taking taylor expansion of (log n) in k 4.805 * [taylor]: Taking taylor expansion of n in k 4.811 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.811 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.811 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.811 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.812 * [taylor]: Taking taylor expansion of 0.5 in k 4.812 * [taylor]: Taking taylor expansion of k in k 4.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.812 * [taylor]: Taking taylor expansion of 2.0 in k 4.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.812 * [taylor]: Taking taylor expansion of PI in k 4.812 * [taylor]: Taking taylor expansion of n in k 4.812 * [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 4.812 * [taylor]: Taking taylor expansion of 1.0 in n 4.812 * [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 4.812 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.812 * [taylor]: Taking taylor expansion of k in n 4.812 * [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 4.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.812 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.813 * [taylor]: Taking taylor expansion of 0.5 in n 4.813 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.813 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.813 * [taylor]: Taking taylor expansion of 1.0 in n 4.813 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.813 * [taylor]: Taking taylor expansion of 2.0 in n 4.814 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.815 * [taylor]: Taking taylor expansion of 1.0 in n 4.815 * [taylor]: Taking taylor expansion of (log PI) in n 4.815 * [taylor]: Taking taylor expansion of PI in n 4.816 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.816 * [taylor]: Taking taylor expansion of 1.0 in n 4.816 * [taylor]: Taking taylor expansion of (log n) in n 4.816 * [taylor]: Taking taylor expansion of n in n 4.824 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.824 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.824 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.824 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.824 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.824 * [taylor]: Taking taylor expansion of 0.5 in n 4.824 * [taylor]: Taking taylor expansion of k in n 4.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.824 * [taylor]: Taking taylor expansion of 2.0 in n 4.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.824 * [taylor]: Taking taylor expansion of PI in n 4.824 * [taylor]: Taking taylor expansion of n in n 4.828 * [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 4.828 * [taylor]: Taking taylor expansion of 1.0 in n 4.828 * [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 4.828 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.828 * [taylor]: Taking taylor expansion of k in n 4.828 * [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 4.828 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.828 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.828 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.828 * [taylor]: Taking taylor expansion of 0.5 in n 4.828 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.828 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.828 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.828 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.828 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.828 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.829 * [taylor]: Taking taylor expansion of 1.0 in n 4.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.829 * [taylor]: Taking taylor expansion of 2.0 in n 4.830 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.830 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.830 * [taylor]: Taking taylor expansion of 1.0 in n 4.830 * [taylor]: Taking taylor expansion of (log PI) in n 4.830 * [taylor]: Taking taylor expansion of PI in n 4.832 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.832 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.832 * [taylor]: Taking taylor expansion of 1.0 in n 4.832 * [taylor]: Taking taylor expansion of (log n) in n 4.832 * [taylor]: Taking taylor expansion of n in n 4.840 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.840 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.840 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.840 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.840 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.840 * [taylor]: Taking taylor expansion of 0.5 in n 4.840 * [taylor]: Taking taylor expansion of k in n 4.840 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.840 * [taylor]: Taking taylor expansion of 2.0 in n 4.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.840 * [taylor]: Taking taylor expansion of PI in n 4.840 * [taylor]: Taking taylor expansion of n in n 4.850 * [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 4.850 * [taylor]: Taking taylor expansion of 1.0 in k 4.851 * [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 4.851 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.851 * [taylor]: Taking taylor expansion of k in k 4.852 * [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 4.852 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.852 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.852 * [taylor]: Taking taylor expansion of 0.5 in k 4.852 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.852 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.852 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.852 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.852 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.852 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.852 * [taylor]: Taking taylor expansion of 1.0 in k 4.852 * [taylor]: Taking taylor expansion of (log PI) in k 4.852 * [taylor]: Taking taylor expansion of PI in k 4.854 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.854 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.854 * [taylor]: Taking taylor expansion of 1.0 in k 4.854 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.854 * [taylor]: Taking taylor expansion of 2.0 in k 4.856 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.856 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.856 * [taylor]: Taking taylor expansion of 1.0 in k 4.856 * [taylor]: Taking taylor expansion of (log n) in k 4.856 * [taylor]: Taking taylor expansion of n in k 4.862 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.862 * [taylor]: Taking taylor expansion of 0.5 in k 4.862 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.862 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.862 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.862 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.862 * [taylor]: Taking taylor expansion of 2.0 in k 4.862 * [taylor]: Taking taylor expansion of PI in k 4.863 * [taylor]: Taking taylor expansion of (log n) in k 4.863 * [taylor]: Taking taylor expansion of n in k 4.863 * [taylor]: Taking taylor expansion of k in k 4.903 * [taylor]: Taking taylor expansion of 0 in k 4.968 * [taylor]: Taking taylor expansion of 0 in k 5.047 * [taylor]: Taking taylor expansion of 0 in k 5.107 * [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 5.107 * [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 5.107 * [taylor]: Taking taylor expansion of 1.0 in k 5.107 * [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 5.107 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.107 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.107 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.107 * [taylor]: Taking taylor expansion of -1 in k 5.107 * [taylor]: Taking taylor expansion of k in k 5.109 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.109 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.109 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.109 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.109 * [taylor]: Taking taylor expansion of -0.5 in k 5.109 * [taylor]: Taking taylor expansion of k in k 5.109 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.109 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.109 * [taylor]: Taking taylor expansion of -2.0 in k 5.109 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.109 * [taylor]: Taking taylor expansion of PI in k 5.109 * [taylor]: Taking taylor expansion of n in k 5.110 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.110 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.110 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.110 * [taylor]: Taking taylor expansion of 0.5 in k 5.110 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.110 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.110 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.110 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.110 * [taylor]: Taking taylor expansion of 1.0 in k 5.110 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.110 * [taylor]: Taking taylor expansion of -2.0 in k 5.112 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.112 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.112 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.112 * [taylor]: Taking taylor expansion of 1.0 in k 5.112 * [taylor]: Taking taylor expansion of (log PI) in k 5.112 * [taylor]: Taking taylor expansion of PI in k 5.114 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.114 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.114 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.114 * [taylor]: Taking taylor expansion of 1.0 in k 5.114 * [taylor]: Taking taylor expansion of (log n) in k 5.114 * [taylor]: Taking taylor expansion of n in k 5.121 * [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 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [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 5.121 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.121 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.121 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.121 * [taylor]: Taking taylor expansion of -1 in n 5.121 * [taylor]: Taking taylor expansion of k in n 5.121 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.121 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.121 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.121 * [taylor]: Taking taylor expansion of -0.5 in n 5.121 * [taylor]: Taking taylor expansion of k in n 5.121 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.121 * [taylor]: Taking taylor expansion of -2.0 in n 5.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.121 * [taylor]: Taking taylor expansion of PI in n 5.121 * [taylor]: Taking taylor expansion of n in n 5.126 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.127 * [taylor]: Taking taylor expansion of 0.5 in n 5.127 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.127 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.127 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.127 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.127 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.127 * [taylor]: Taking taylor expansion of 1.0 in n 5.127 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.127 * [taylor]: Taking taylor expansion of -2.0 in n 5.128 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.129 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.129 * [taylor]: Taking taylor expansion of 1.0 in n 5.129 * [taylor]: Taking taylor expansion of (log PI) in n 5.129 * [taylor]: Taking taylor expansion of PI in n 5.130 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.131 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.131 * [taylor]: Taking taylor expansion of 1.0 in n 5.131 * [taylor]: Taking taylor expansion of (log n) in n 5.131 * [taylor]: Taking taylor expansion of n in n 5.138 * [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 5.138 * [taylor]: Taking taylor expansion of 1.0 in n 5.138 * [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 5.138 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.138 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.138 * [taylor]: Taking taylor expansion of -1 in n 5.138 * [taylor]: Taking taylor expansion of k in n 5.138 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.138 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.138 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.138 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.138 * [taylor]: Taking taylor expansion of -0.5 in n 5.138 * [taylor]: Taking taylor expansion of k in n 5.138 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.138 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.138 * [taylor]: Taking taylor expansion of -2.0 in n 5.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.138 * [taylor]: Taking taylor expansion of PI in n 5.138 * [taylor]: Taking taylor expansion of n in n 5.150 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.150 * [taylor]: Taking taylor expansion of 0.5 in n 5.150 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.150 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.150 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.150 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.150 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.151 * [taylor]: Taking taylor expansion of 1.0 in n 5.151 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.151 * [taylor]: Taking taylor expansion of -2.0 in n 5.152 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.152 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.152 * [taylor]: Taking taylor expansion of 1.0 in n 5.152 * [taylor]: Taking taylor expansion of (log PI) in n 5.152 * [taylor]: Taking taylor expansion of PI in n 5.154 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.154 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.154 * [taylor]: Taking taylor expansion of 1.0 in n 5.154 * [taylor]: Taking taylor expansion of (log n) in n 5.154 * [taylor]: Taking taylor expansion of n in n 5.166 * [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 5.166 * [taylor]: Taking taylor expansion of 1.0 in k 5.166 * [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 5.166 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.166 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.166 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.166 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.166 * [taylor]: Taking taylor expansion of -0.5 in k 5.166 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.166 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.166 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.166 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.166 * [taylor]: Taking taylor expansion of -2.0 in k 5.166 * [taylor]: Taking taylor expansion of PI in k 5.167 * [taylor]: Taking taylor expansion of (log n) in k 5.167 * [taylor]: Taking taylor expansion of n in k 5.167 * [taylor]: Taking taylor expansion of k in k 5.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.170 * [taylor]: Taking taylor expansion of -1 in k 5.170 * [taylor]: Taking taylor expansion of k in k 5.173 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.174 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.174 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.174 * [taylor]: Taking taylor expansion of 0.5 in k 5.174 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.174 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.174 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.174 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.174 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.174 * [taylor]: Taking taylor expansion of 1.0 in k 5.174 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.174 * [taylor]: Taking taylor expansion of -2.0 in k 5.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.176 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.176 * [taylor]: Taking taylor expansion of 1.0 in k 5.176 * [taylor]: Taking taylor expansion of (log PI) in k 5.176 * [taylor]: Taking taylor expansion of PI in k 5.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.178 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.178 * [taylor]: Taking taylor expansion of 1.0 in k 5.178 * [taylor]: Taking taylor expansion of (log n) in k 5.178 * [taylor]: Taking taylor expansion of n in k 5.215 * [taylor]: Taking taylor expansion of 0 in k 5.284 * [taylor]: Taking taylor expansion of 0 in k 5.338 * * * [progress]: simplifying candidates 5.340 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 (* (* (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))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (neg (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (neg (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (neg (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (neg (* +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)))))))) 5.350 * * [simplify]: iteration 0 : 916 enodes (cost 1358 ) 5.365 * * [simplify]: iteration 1 : 3951 enodes (cost 1199 ) 5.430 * * [simplify]: iteration 2 : 5002 enodes (cost 1199 ) 5.437 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (neg (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (neg (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (neg (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 5.437 * * * [progress]: adding candidates to table 5.664 * [progress]: [Phase 3 of 3] Extracting. 5.664 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.667 * * * [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) 5.667 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.713 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.764 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# #) 5.789 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.834 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.879 * * * [regime]: Found split indices: #