10.176 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.217 * * * [progress]: [2/2] Setting up program. 0.220 * [progress]: [Phase 2 of 3] Improving. 0.220 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.222 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.224 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.226 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.228 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.234 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.257 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.257 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.257 * * [progress]: iteration 1 / 4 0.257 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.273 * * * [progress]: generating rewritten candidates 0.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.282 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.314 * * * [progress]: generating series expansions 0.314 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.314 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.315 * [taylor]: Taking taylor expansion of 0.5 in k 0.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.315 * [taylor]: Taking taylor expansion of 2.0 in k 0.315 * [taylor]: Taking taylor expansion of (* n PI) in k 0.315 * [taylor]: Taking taylor expansion of n in k 0.315 * [taylor]: Taking taylor expansion of PI in k 0.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.316 * [taylor]: Taking taylor expansion of 0.5 in n 0.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of k in n 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.317 * [taylor]: Taking taylor expansion of 2.0 in n 0.317 * [taylor]: Taking taylor expansion of (* n PI) in n 0.317 * [taylor]: Taking taylor expansion of n in n 0.317 * [taylor]: Taking taylor expansion of PI in n 0.322 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.323 * [taylor]: Taking taylor expansion of 0.5 in n 0.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.323 * [taylor]: Taking taylor expansion of 1.0 in n 0.323 * [taylor]: Taking taylor expansion of k in n 0.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (* n PI) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.333 * [taylor]: Taking taylor expansion of 0.5 in k 0.333 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.333 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.333 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.333 * [taylor]: Taking taylor expansion of 2.0 in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.334 * [taylor]: Taking taylor expansion of (log n) in k 0.334 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of 0 in k 0.359 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.379 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.379 * [taylor]: Taking taylor expansion of 0.5 in k 0.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.379 * [taylor]: Taking taylor expansion of 1.0 in k 0.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.379 * [taylor]: Taking taylor expansion of k in k 0.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.379 * [taylor]: Taking taylor expansion of 2.0 in k 0.379 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.380 * [taylor]: Taking taylor expansion of PI in k 0.380 * [taylor]: Taking taylor expansion of n in k 0.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.381 * [taylor]: Taking taylor expansion of 0.5 in n 0.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.381 * [taylor]: Taking taylor expansion of 1.0 in n 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.381 * [taylor]: Taking taylor expansion of k in n 0.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.381 * [taylor]: Taking taylor expansion of 2.0 in n 0.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.381 * [taylor]: Taking taylor expansion of PI in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.385 * [taylor]: Taking taylor expansion of 0.5 in n 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.385 * [taylor]: Taking taylor expansion of 1.0 in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.385 * [taylor]: Taking taylor expansion of k in n 0.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.385 * [taylor]: Taking taylor expansion of 2.0 in n 0.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.385 * [taylor]: Taking taylor expansion of PI in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.389 * [taylor]: Taking taylor expansion of 0.5 in k 0.389 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.389 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.389 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.389 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.389 * [taylor]: Taking taylor expansion of 2.0 in k 0.389 * [taylor]: Taking taylor expansion of PI in k 0.390 * [taylor]: Taking taylor expansion of (log n) in k 0.390 * [taylor]: Taking taylor expansion of n in k 0.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.390 * [taylor]: Taking taylor expansion of k in k 0.399 * [taylor]: Taking taylor expansion of 0 in k 0.406 * [taylor]: Taking taylor expansion of 0 in k 0.422 * [taylor]: Taking taylor expansion of 0 in k 0.423 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.423 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.423 * [taylor]: Taking taylor expansion of 0.5 in k 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.423 * [taylor]: Taking taylor expansion of k in k 0.424 * [taylor]: Taking taylor expansion of 1.0 in k 0.424 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.424 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.424 * [taylor]: Taking taylor expansion of -2.0 in k 0.424 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.424 * [taylor]: Taking taylor expansion of PI in k 0.424 * [taylor]: Taking taylor expansion of n in k 0.425 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.425 * [taylor]: Taking taylor expansion of 0.5 in n 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.425 * [taylor]: Taking taylor expansion of k in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.425 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.425 * [taylor]: Taking taylor expansion of -2.0 in n 0.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.428 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.429 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.429 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.429 * [taylor]: Taking taylor expansion of 0.5 in n 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.429 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.429 * [taylor]: Taking taylor expansion of k in n 0.429 * [taylor]: Taking taylor expansion of 1.0 in n 0.429 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.429 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.429 * [taylor]: Taking taylor expansion of -2.0 in n 0.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.429 * [taylor]: Taking taylor expansion of PI in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.433 * [taylor]: Taking taylor expansion of 0.5 in k 0.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.433 * [taylor]: Taking taylor expansion of k in k 0.433 * [taylor]: Taking taylor expansion of 1.0 in k 0.433 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.433 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.433 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.433 * [taylor]: Taking taylor expansion of -2.0 in k 0.433 * [taylor]: Taking taylor expansion of PI in k 0.434 * [taylor]: Taking taylor expansion of (log n) in k 0.434 * [taylor]: Taking taylor expansion of n in k 0.443 * [taylor]: Taking taylor expansion of 0 in k 0.450 * [taylor]: Taking taylor expansion of 0 in k 0.459 * [taylor]: Taking taylor expansion of 0 in k 0.460 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.461 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.461 * [taylor]: Taking taylor expansion of 2.0 in n 0.461 * [taylor]: Taking taylor expansion of (* n PI) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of PI in n 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.461 * [taylor]: Taking taylor expansion of 2.0 in n 0.461 * [taylor]: Taking taylor expansion of (* n PI) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of PI in n 0.473 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.473 * [taylor]: Taking taylor expansion of 2.0 in n 0.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.473 * [taylor]: Taking taylor expansion of PI in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.483 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.483 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.483 * [taylor]: Taking taylor expansion of -2.0 in n 0.483 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.483 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.483 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.483 * [taylor]: Taking taylor expansion of -2.0 in n 0.483 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.483 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.492 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.492 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.492 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.511 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.512 * [taylor]: Taking taylor expansion of 1.0 in k 0.512 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.512 * [taylor]: Taking taylor expansion of k in k 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.513 * [taylor]: Taking taylor expansion of 1.0 in k 0.513 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.513 * [taylor]: Taking taylor expansion of k in k 0.523 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.523 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.523 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.523 * [taylor]: Taking taylor expansion of -1 in k 0.523 * [taylor]: Taking taylor expansion of k in k 0.525 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.525 * [taylor]: Taking taylor expansion of 1.0 in k 0.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.525 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.525 * [taylor]: Taking taylor expansion of -1 in k 0.525 * [taylor]: Taking taylor expansion of k in k 0.537 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.537 * [taylor]: Taking taylor expansion of k in n 0.538 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.538 * [taylor]: Taking taylor expansion of 0.5 in n 0.538 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of k in n 0.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.538 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.543 * [taylor]: Taking taylor expansion of 1.0 in k 0.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.543 * [taylor]: Taking taylor expansion of k in k 0.545 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.545 * [taylor]: Taking taylor expansion of 0.5 in k 0.545 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.545 * [taylor]: Taking taylor expansion of 1.0 in k 0.545 * [taylor]: Taking taylor expansion of k in k 0.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.545 * [taylor]: Taking taylor expansion of 2.0 in k 0.545 * [taylor]: Taking taylor expansion of (* n PI) in k 0.545 * [taylor]: Taking taylor expansion of n in k 0.545 * [taylor]: Taking taylor expansion of PI in k 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.546 * [taylor]: Taking taylor expansion of 1.0 in k 0.546 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.547 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.547 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.547 * [taylor]: Taking taylor expansion of 0.5 in k 0.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.547 * [taylor]: Taking taylor expansion of 1.0 in k 0.547 * [taylor]: Taking taylor expansion of k in k 0.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.547 * [taylor]: Taking taylor expansion of 2.0 in k 0.547 * [taylor]: Taking taylor expansion of (* n PI) in k 0.547 * [taylor]: Taking taylor expansion of n in k 0.547 * [taylor]: Taking taylor expansion of PI in k 0.549 * [taylor]: Taking taylor expansion of 0 in n 0.554 * [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 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.555 * [taylor]: Taking taylor expansion of 0.5 in n 0.555 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.555 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.555 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log PI) in n 0.555 * [taylor]: Taking taylor expansion of PI in n 0.557 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log n) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.557 * [taylor]: Taking taylor expansion of 2.0 in n 0.577 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.577 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.577 * [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 0.577 * [taylor]: Taking taylor expansion of +nan.0 in n 0.577 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.577 * [taylor]: Taking taylor expansion of 0.5 in n 0.577 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.577 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.577 * [taylor]: Taking taylor expansion of 1.0 in n 0.577 * [taylor]: Taking taylor expansion of (log PI) in n 0.577 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log n) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.580 * [taylor]: Taking taylor expansion of 1.0 in n 0.580 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.585 * [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 0.585 * [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 0.585 * [taylor]: Taking taylor expansion of +nan.0 in n 0.585 * [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 0.585 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.585 * [taylor]: Taking taylor expansion of 0.5 in n 0.585 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.585 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.585 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.587 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.587 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.587 * [taylor]: Taking taylor expansion of (log PI) in n 0.587 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log n) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.600 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (* n PI) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of PI in n 0.651 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.651 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.651 * [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 0.651 * [taylor]: Taking taylor expansion of +nan.0 in n 0.651 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.651 * [taylor]: Taking taylor expansion of 0.5 in n 0.651 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.651 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.651 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.651 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.651 * [taylor]: Taking taylor expansion of 1.0 in n 0.651 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.651 * [taylor]: Taking taylor expansion of 2.0 in n 0.653 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.653 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.653 * [taylor]: Taking taylor expansion of 1.0 in n 0.653 * [taylor]: Taking taylor expansion of (log n) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.653 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [taylor]: Taking taylor expansion of (log PI) in n 0.654 * [taylor]: Taking taylor expansion of PI in n 0.659 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.659 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.659 * [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 0.659 * [taylor]: Taking taylor expansion of +nan.0 in n 0.659 * [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 0.659 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.659 * [taylor]: Taking taylor expansion of 0.5 in n 0.659 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.659 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.659 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.659 * [taylor]: Taking taylor expansion of 2.0 in n 0.661 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.661 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.661 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.661 * [taylor]: Taking taylor expansion of 1.0 in n 0.661 * [taylor]: Taking taylor expansion of (log PI) in n 0.661 * [taylor]: Taking taylor expansion of PI in n 0.663 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (log n) in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.667 * [taylor]: Taking taylor expansion of 2.0 in n 0.667 * [taylor]: Taking taylor expansion of (* n PI) in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of PI in n 0.671 * [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 0.671 * [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 0.671 * [taylor]: Taking taylor expansion of +nan.0 in n 0.671 * [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 0.671 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.671 * [taylor]: Taking taylor expansion of 0.5 in n 0.671 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.671 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.671 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.671 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.671 * [taylor]: Taking taylor expansion of 2.0 in n 0.673 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.673 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (log PI) in n 0.673 * [taylor]: Taking taylor expansion of PI in n 0.675 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.675 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.675 * [taylor]: Taking taylor expansion of 1.0 in n 0.675 * [taylor]: Taking taylor expansion of (log n) in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.679 * [taylor]: Taking taylor expansion of 2.0 in n 0.679 * [taylor]: Taking taylor expansion of (* n PI) in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.759 * [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 0.759 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.759 * [taylor]: Taking taylor expansion of 1.0 in n 0.759 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.759 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.759 * [taylor]: Taking taylor expansion of k in n 0.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.759 * [taylor]: Taking taylor expansion of 0.5 in n 0.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.759 * [taylor]: Taking taylor expansion of 1.0 in n 0.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.759 * [taylor]: Taking taylor expansion of k in n 0.759 * [taylor]: Taking taylor expansion of (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 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.763 * [taylor]: Taking taylor expansion of 1.0 in k 0.763 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.763 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.763 * [taylor]: Taking taylor expansion of k in k 0.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.764 * [taylor]: Taking taylor expansion of 0.5 in k 0.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.764 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.765 * [taylor]: Taking taylor expansion of k in k 0.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.765 * [taylor]: Taking taylor expansion of 2.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.765 * [taylor]: Taking taylor expansion of PI in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.766 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.766 * [taylor]: Taking taylor expansion of 1.0 in k 0.766 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.766 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.766 * [taylor]: Taking taylor expansion of k in k 0.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.767 * [taylor]: Taking taylor expansion of 0.5 in k 0.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.767 * [taylor]: Taking taylor expansion of 2.0 in k 0.767 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.768 * [taylor]: Taking taylor expansion of PI in k 0.768 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of 0 in n 0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.770 * [taylor]: Taking taylor expansion of +nan.0 in n 0.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.770 * [taylor]: Taking taylor expansion of 0.5 in n 0.770 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.770 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of 2.0 in n 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.776 * [taylor]: Taking taylor expansion of 1.0 in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.785 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.785 * [taylor]: Taking taylor expansion of +nan.0 in n 0.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.785 * [taylor]: Taking taylor expansion of 0.5 in n 0.785 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.785 * [taylor]: Taking taylor expansion of 2.0 in n 0.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.785 * [taylor]: Taking taylor expansion of PI in n 0.785 * [taylor]: Taking taylor expansion of n in n 0.786 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.786 * [taylor]: Taking taylor expansion of 1.0 in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.787 * [taylor]: Taking taylor expansion of k in n 0.804 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.804 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.804 * [taylor]: Taking taylor expansion of +nan.0 in n 0.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.804 * [taylor]: Taking taylor expansion of 0.5 in n 0.804 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.804 * [taylor]: Taking taylor expansion of 2.0 in n 0.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.804 * [taylor]: Taking taylor expansion of PI in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.805 * [taylor]: Taking taylor expansion of k in n 0.814 * [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 0.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.814 * [taylor]: Taking taylor expansion of 1.0 in n 0.814 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.814 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.815 * [taylor]: Taking taylor expansion of 0.5 in n 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.815 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.815 * [taylor]: Taking taylor expansion of k in n 0.815 * [taylor]: Taking taylor expansion of 1.0 in n 0.815 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.815 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.815 * [taylor]: Taking taylor expansion of -2.0 in n 0.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.815 * [taylor]: Taking taylor expansion of PI in n 0.815 * [taylor]: Taking taylor expansion of n in n 0.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.818 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.818 * [taylor]: Taking taylor expansion of -1 in n 0.818 * [taylor]: Taking taylor expansion of k in n 0.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.819 * [taylor]: Taking taylor expansion of 1.0 in k 0.819 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.819 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.820 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.820 * [taylor]: Taking taylor expansion of 0.5 in k 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.820 * [taylor]: Taking taylor expansion of k in k 0.820 * [taylor]: Taking taylor expansion of 1.0 in k 0.820 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.820 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.820 * [taylor]: Taking taylor expansion of -2.0 in k 0.820 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.820 * [taylor]: Taking taylor expansion of PI in k 0.820 * [taylor]: Taking taylor expansion of n in k 0.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.821 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.821 * [taylor]: Taking taylor expansion of -1 in k 0.821 * [taylor]: Taking taylor expansion of k in k 0.823 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.823 * [taylor]: Taking taylor expansion of 1.0 in k 0.823 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.823 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.823 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.823 * [taylor]: Taking taylor expansion of 0.5 in k 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.823 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.823 * [taylor]: Taking taylor expansion of k in k 0.823 * [taylor]: Taking taylor expansion of 1.0 in k 0.823 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.823 * [taylor]: Taking taylor expansion of -2.0 in k 0.823 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.823 * [taylor]: Taking taylor expansion of PI in k 0.823 * [taylor]: Taking taylor expansion of n in k 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.824 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.824 * [taylor]: Taking taylor expansion of -1 in k 0.824 * [taylor]: Taking taylor expansion of k in k 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 0.826 * [taylor]: Taking taylor expansion of 1.0 in n 0.826 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.826 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.826 * [taylor]: Taking taylor expansion of -2.0 in n 0.826 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.826 * [taylor]: Taking taylor expansion of PI in n 0.826 * [taylor]: Taking taylor expansion of n in n 0.835 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.835 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.835 * [taylor]: Taking taylor expansion of +nan.0 in n 0.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.835 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.835 * [taylor]: Taking taylor expansion of 0.5 in n 0.835 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.835 * [taylor]: Taking taylor expansion of k in n 0.835 * [taylor]: Taking taylor expansion of 1.0 in n 0.835 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.835 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.835 * [taylor]: Taking taylor expansion of -2.0 in n 0.835 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.835 * [taylor]: Taking taylor expansion of PI in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.853 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.853 * [taylor]: Taking taylor expansion of +nan.0 in n 0.853 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.853 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.853 * [taylor]: Taking taylor expansion of 0.5 in n 0.853 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.853 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.853 * [taylor]: Taking taylor expansion of k in n 0.854 * [taylor]: Taking taylor expansion of 1.0 in n 0.854 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.854 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.854 * [taylor]: Taking taylor expansion of -2.0 in n 0.854 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.854 * [taylor]: Taking taylor expansion of PI in n 0.854 * [taylor]: Taking taylor expansion of n in n 0.868 * * * [progress]: simplifying candidates 0.871 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.971 * * * [progress]: adding candidates to table 1.412 * * [progress]: iteration 2 / 4 1.412 * * * [progress]: picking best candidate 1.440 * * * * [pick]: Picked # 1.440 * * * [progress]: localizing error 1.458 * * * [progress]: generating rewritten candidates 1.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.472 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.492 * * * [progress]: generating series expansions 1.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.493 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.493 * [taylor]: Taking taylor expansion of 0.5 in n 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.493 * [taylor]: Taking taylor expansion of 2.0 in n 1.493 * [taylor]: Taking taylor expansion of (* n PI) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.499 * [taylor]: Taking taylor expansion of 0.5 in n 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.499 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.499 * [taylor]: Taking taylor expansion of 2.0 in n 1.499 * [taylor]: Taking taylor expansion of (* n PI) in n 1.499 * [taylor]: Taking taylor expansion of n in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.585 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.585 * [taylor]: Taking taylor expansion of 0.5 in n 1.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.585 * [taylor]: Taking taylor expansion of 2.0 in n 1.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.585 * [taylor]: Taking taylor expansion of PI in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.589 * [taylor]: Taking taylor expansion of 0.5 in n 1.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.589 * [taylor]: Taking taylor expansion of 2.0 in n 1.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.589 * [taylor]: Taking taylor expansion of PI in n 1.589 * [taylor]: Taking taylor expansion of n in n 1.670 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.670 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.670 * [taylor]: Taking taylor expansion of 0.5 in n 1.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.671 * [taylor]: Taking taylor expansion of -2.0 in n 1.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.671 * [taylor]: Taking taylor expansion of PI in n 1.671 * [taylor]: Taking taylor expansion of n in n 1.674 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.674 * [taylor]: Taking taylor expansion of 0.5 in n 1.674 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.674 * [taylor]: Taking taylor expansion of -2.0 in n 1.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.756 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.756 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.756 * [taylor]: Taking taylor expansion of 2.0 in n 1.756 * [taylor]: Taking taylor expansion of (* n PI) in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.756 * [taylor]: Taking taylor expansion of 2.0 in n 1.756 * [taylor]: Taking taylor expansion of (* n PI) in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.769 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.769 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.769 * [taylor]: Taking taylor expansion of 2.0 in n 1.769 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.769 * [taylor]: Taking taylor expansion of PI in n 1.769 * [taylor]: Taking taylor expansion of n in n 1.769 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.769 * [taylor]: Taking taylor expansion of 2.0 in n 1.769 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.769 * [taylor]: Taking taylor expansion of PI in n 1.769 * [taylor]: Taking taylor expansion of n in n 1.778 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.778 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.778 * [taylor]: Taking taylor expansion of -2.0 in n 1.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.778 * [taylor]: Taking taylor expansion of PI in n 1.778 * [taylor]: Taking taylor expansion of n in n 1.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.779 * [taylor]: Taking taylor expansion of -2.0 in n 1.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.779 * [taylor]: Taking taylor expansion of PI in n 1.779 * [taylor]: Taking taylor expansion of n in n 1.787 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.788 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.788 * [taylor]: Taking taylor expansion of 2.0 in n 1.788 * [taylor]: Taking taylor expansion of (* n PI) in n 1.788 * [taylor]: Taking taylor expansion of n in n 1.788 * [taylor]: Taking taylor expansion of PI in n 1.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.788 * [taylor]: Taking taylor expansion of 2.0 in n 1.788 * [taylor]: Taking taylor expansion of (* n PI) in n 1.788 * [taylor]: Taking taylor expansion of n in n 1.788 * [taylor]: Taking taylor expansion of PI in n 1.801 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.801 * [taylor]: Taking taylor expansion of 2.0 in n 1.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.801 * [taylor]: Taking taylor expansion of PI in n 1.801 * [taylor]: Taking taylor expansion of n in n 1.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.801 * [taylor]: Taking taylor expansion of 2.0 in n 1.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.801 * [taylor]: Taking taylor expansion of PI in n 1.801 * [taylor]: Taking taylor expansion of n in n 1.816 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.816 * [taylor]: Taking taylor expansion of -2.0 in n 1.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.816 * [taylor]: Taking taylor expansion of PI in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.817 * [taylor]: Taking taylor expansion of -2.0 in n 1.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.817 * [taylor]: Taking taylor expansion of PI in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.825 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.826 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.826 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.826 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.826 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.826 * [taylor]: Taking taylor expansion of 0.5 in k 1.826 * [taylor]: Taking taylor expansion of k in k 1.826 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.826 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.826 * [taylor]: Taking taylor expansion of 2.0 in k 1.826 * [taylor]: Taking taylor expansion of (* n PI) in k 1.826 * [taylor]: Taking taylor expansion of n in k 1.826 * [taylor]: Taking taylor expansion of PI in k 1.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.829 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.829 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.829 * [taylor]: Taking taylor expansion of 0.5 in n 1.829 * [taylor]: Taking taylor expansion of k in n 1.829 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.829 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.829 * [taylor]: Taking taylor expansion of 2.0 in n 1.829 * [taylor]: Taking taylor expansion of (* n PI) in n 1.829 * [taylor]: Taking taylor expansion of n in n 1.829 * [taylor]: Taking taylor expansion of PI in n 1.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.834 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.834 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.834 * [taylor]: Taking taylor expansion of 0.5 in n 1.834 * [taylor]: Taking taylor expansion of k in n 1.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.834 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.834 * [taylor]: Taking taylor expansion of 2.0 in n 1.834 * [taylor]: Taking taylor expansion of (* n PI) in n 1.834 * [taylor]: Taking taylor expansion of n in n 1.834 * [taylor]: Taking taylor expansion of PI in n 1.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.840 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.840 * [taylor]: Taking taylor expansion of 0.5 in k 1.840 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.840 * [taylor]: Taking taylor expansion of k in k 1.840 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.840 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.840 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.840 * [taylor]: Taking taylor expansion of 2.0 in k 1.840 * [taylor]: Taking taylor expansion of PI in k 1.841 * [taylor]: Taking taylor expansion of (log n) in k 1.841 * [taylor]: Taking taylor expansion of n in k 1.851 * [taylor]: Taking taylor expansion of 0 in k 1.861 * [taylor]: Taking taylor expansion of 0 in k 1.876 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.876 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.876 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.876 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.876 * [taylor]: Taking taylor expansion of 0.5 in k 1.876 * [taylor]: Taking taylor expansion of k in k 1.876 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.876 * [taylor]: Taking taylor expansion of 2.0 in k 1.876 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.876 * [taylor]: Taking taylor expansion of PI in k 1.876 * [taylor]: Taking taylor expansion of n in k 1.877 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.877 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.877 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.877 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.877 * [taylor]: Taking taylor expansion of 0.5 in n 1.877 * [taylor]: Taking taylor expansion of k in n 1.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.880 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.880 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.880 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.880 * [taylor]: Taking taylor expansion of 0.5 in n 1.880 * [taylor]: Taking taylor expansion of k in n 1.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.880 * [taylor]: Taking taylor expansion of 2.0 in n 1.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.881 * [taylor]: Taking taylor expansion of PI in n 1.881 * [taylor]: Taking taylor expansion of n in n 1.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.884 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.884 * [taylor]: Taking taylor expansion of 0.5 in k 1.884 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.884 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.884 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.884 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.884 * [taylor]: Taking taylor expansion of 2.0 in k 1.884 * [taylor]: Taking taylor expansion of PI in k 1.885 * [taylor]: Taking taylor expansion of (log n) in k 1.885 * [taylor]: Taking taylor expansion of n in k 1.885 * [taylor]: Taking taylor expansion of k in k 1.899 * [taylor]: Taking taylor expansion of 0 in k 1.906 * [taylor]: Taking taylor expansion of 0 in k 1.913 * [taylor]: Taking taylor expansion of 0 in k 1.915 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.915 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.915 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.915 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.915 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.915 * [taylor]: Taking taylor expansion of -0.5 in k 1.915 * [taylor]: Taking taylor expansion of k in k 1.915 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.915 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.915 * [taylor]: Taking taylor expansion of -2.0 in k 1.915 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.915 * [taylor]: Taking taylor expansion of PI in k 1.915 * [taylor]: Taking taylor expansion of n in k 1.915 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.915 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.915 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.916 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.916 * [taylor]: Taking taylor expansion of -0.5 in n 1.916 * [taylor]: Taking taylor expansion of k in n 1.916 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.916 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.916 * [taylor]: Taking taylor expansion of -2.0 in n 1.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.919 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.919 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.919 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.919 * [taylor]: Taking taylor expansion of -0.5 in n 1.919 * [taylor]: Taking taylor expansion of k in n 1.919 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.919 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.919 * [taylor]: Taking taylor expansion of -2.0 in n 1.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.919 * [taylor]: Taking taylor expansion of PI in n 1.919 * [taylor]: Taking taylor expansion of n in n 1.923 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.923 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.923 * [taylor]: Taking taylor expansion of -0.5 in k 1.923 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.923 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.923 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.923 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.923 * [taylor]: Taking taylor expansion of -2.0 in k 1.923 * [taylor]: Taking taylor expansion of PI in k 1.924 * [taylor]: Taking taylor expansion of (log n) in k 1.924 * [taylor]: Taking taylor expansion of n in k 1.924 * [taylor]: Taking taylor expansion of k in k 1.933 * [taylor]: Taking taylor expansion of 0 in k 1.939 * [taylor]: Taking taylor expansion of 0 in k 1.948 * [taylor]: Taking taylor expansion of 0 in k 1.949 * * * [progress]: simplifying candidates 1.950 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (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)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.956 * * [simplify]: iteration 0 : 463 enodes (cost 557 ) 1.963 * * [simplify]: iteration 1 : 1809 enodes (cost 510 ) 1.996 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 2.000 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.000 * * * [progress]: adding candidates to table 2.309 * * [progress]: iteration 3 / 4 2.309 * * * [progress]: picking best candidate 2.332 * * * * [pick]: Picked # 2.333 * * * [progress]: localizing error 2.349 * * * [progress]: generating rewritten candidates 2.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.369 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.372 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.385 * * * [progress]: generating series expansions 2.385 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.386 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 2.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.386 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.386 * [taylor]: Taking taylor expansion of 0.5 in k 2.386 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.386 * [taylor]: Taking taylor expansion of 1.0 in k 2.386 * [taylor]: Taking taylor expansion of k in k 2.386 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.386 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.386 * [taylor]: Taking taylor expansion of 2.0 in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.391 * [taylor]: Taking taylor expansion of 0.5 in k 2.391 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.391 * [taylor]: Taking taylor expansion of 1.0 in k 2.391 * [taylor]: Taking taylor expansion of k in k 2.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.391 * [taylor]: Taking taylor expansion of 2.0 in k 2.391 * [taylor]: Taking taylor expansion of PI in k 2.439 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.440 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.440 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.440 * [taylor]: Taking taylor expansion of 0.5 in k 2.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.440 * [taylor]: Taking taylor expansion of 1.0 in k 2.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.440 * [taylor]: Taking taylor expansion of k in k 2.440 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.440 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.440 * [taylor]: Taking taylor expansion of 2.0 in k 2.440 * [taylor]: Taking taylor expansion of PI in k 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.443 * [taylor]: Taking taylor expansion of 0.5 in k 2.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.444 * [taylor]: Taking taylor expansion of k in k 2.444 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.444 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.444 * [taylor]: Taking taylor expansion of 2.0 in k 2.444 * [taylor]: Taking taylor expansion of PI in k 2.449 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.449 * [taylor]: Taking taylor expansion of 0.5 in k 2.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.449 * [taylor]: Taking taylor expansion of k in k 2.450 * [taylor]: Taking taylor expansion of 1.0 in k 2.450 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.450 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.450 * [taylor]: Taking taylor expansion of 2.0 in k 2.450 * [taylor]: Taking taylor expansion of PI in k 2.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.461 * [taylor]: Taking taylor expansion of 0.5 in k 2.461 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.461 * [taylor]: Taking taylor expansion of k in k 2.461 * [taylor]: Taking taylor expansion of 1.0 in k 2.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.461 * [taylor]: Taking taylor expansion of 2.0 in k 2.461 * [taylor]: Taking taylor expansion of PI in k 2.466 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.467 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 2.467 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 2.467 * [taylor]: Taking taylor expansion of 1.0 in k 2.467 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 2.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.467 * [taylor]: Taking taylor expansion of k in k 2.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.469 * [taylor]: Taking taylor expansion of 0.5 in k 2.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.469 * [taylor]: Taking taylor expansion of 1.0 in k 2.469 * [taylor]: Taking taylor expansion of k in k 2.469 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.469 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.469 * [taylor]: Taking taylor expansion of 2.0 in k 2.469 * [taylor]: Taking taylor expansion of PI in k 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 2.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.474 * [taylor]: Taking taylor expansion of 0.5 in k 2.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.474 * [taylor]: Taking taylor expansion of 1.0 in k 2.474 * [taylor]: Taking taylor expansion of k in k 2.474 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.474 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.475 * [taylor]: Taking taylor expansion of 2.0 in k 2.475 * [taylor]: Taking taylor expansion of PI in k 2.687 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 2.687 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.687 * [taylor]: Taking taylor expansion of 1.0 in k 2.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.687 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.687 * [taylor]: Taking taylor expansion of k in k 2.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.688 * [taylor]: Taking taylor expansion of 0.5 in k 2.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.688 * [taylor]: Taking taylor expansion of 1.0 in k 2.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.688 * [taylor]: Taking taylor expansion of k in k 2.689 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.689 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.689 * [taylor]: Taking taylor expansion of 2.0 in k 2.689 * [taylor]: Taking taylor expansion of PI in k 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.692 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.692 * [taylor]: Taking taylor expansion of k in k 2.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.693 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.693 * [taylor]: Taking taylor expansion of 0.5 in k 2.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.693 * [taylor]: Taking taylor expansion of 1.0 in k 2.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.693 * [taylor]: Taking taylor expansion of k in k 2.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.694 * [taylor]: Taking taylor expansion of 2.0 in k 2.694 * [taylor]: Taking taylor expansion of PI in k 2.723 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 2.723 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.723 * [taylor]: Taking taylor expansion of 1.0 in k 2.723 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.723 * [taylor]: Taking taylor expansion of 0.5 in k 2.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.723 * [taylor]: Taking taylor expansion of k in k 2.724 * [taylor]: Taking taylor expansion of 1.0 in k 2.724 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.724 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.724 * [taylor]: Taking taylor expansion of 2.0 in k 2.724 * [taylor]: Taking taylor expansion of PI in k 2.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.727 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.727 * [taylor]: Taking taylor expansion of -1 in k 2.727 * [taylor]: Taking taylor expansion of k in k 2.729 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.729 * [taylor]: Taking taylor expansion of 1.0 in k 2.729 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.729 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.729 * [taylor]: Taking taylor expansion of 0.5 in k 2.729 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.729 * [taylor]: Taking taylor expansion of k in k 2.730 * [taylor]: Taking taylor expansion of 1.0 in k 2.730 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.730 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.730 * [taylor]: Taking taylor expansion of 2.0 in k 2.730 * [taylor]: Taking taylor expansion of PI in k 2.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.733 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.733 * [taylor]: Taking taylor expansion of -1 in k 2.733 * [taylor]: Taking taylor expansion of k in k 2.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.753 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.753 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.753 * [taylor]: Taking taylor expansion of 1.0 in k 2.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.754 * [taylor]: Taking taylor expansion of k in k 2.755 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.755 * [taylor]: Taking taylor expansion of 1.0 in k 2.755 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.755 * [taylor]: Taking taylor expansion of k in k 2.767 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.767 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.767 * [taylor]: Taking taylor expansion of 1.0 in k 2.767 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.767 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.778 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.778 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.778 * [taylor]: Taking taylor expansion of 1.0 in k 2.778 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.778 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.778 * [taylor]: Taking taylor expansion of -1 in k 2.778 * [taylor]: Taking taylor expansion of k in k 2.780 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.780 * [taylor]: Taking taylor expansion of 1.0 in k 2.780 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.780 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.780 * [taylor]: Taking taylor expansion of -1 in k 2.780 * [taylor]: Taking taylor expansion of k in k 2.799 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.799 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.799 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.799 * [taylor]: Taking taylor expansion of 0.5 in k 2.799 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.799 * [taylor]: Taking taylor expansion of 1.0 in k 2.799 * [taylor]: Taking taylor expansion of k in k 2.799 * [taylor]: Taking taylor expansion of (log n) in k 2.799 * [taylor]: Taking taylor expansion of n in k 2.800 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.800 * [taylor]: Taking taylor expansion of 0.5 in n 2.800 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.800 * [taylor]: Taking taylor expansion of 1.0 in n 2.800 * [taylor]: Taking taylor expansion of k in n 2.800 * [taylor]: Taking taylor expansion of (log n) in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.801 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.801 * [taylor]: Taking taylor expansion of 0.5 in n 2.801 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of k in n 2.801 * [taylor]: Taking taylor expansion of (log n) in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.802 * [taylor]: Taking taylor expansion of 0.5 in k 2.802 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.802 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.802 * [taylor]: Taking taylor expansion of 1.0 in k 2.802 * [taylor]: Taking taylor expansion of k in k 2.802 * [taylor]: Taking taylor expansion of (log n) in k 2.802 * [taylor]: Taking taylor expansion of n in k 2.805 * [taylor]: Taking taylor expansion of 0 in k 2.810 * [taylor]: Taking taylor expansion of 0 in k 2.814 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.814 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.814 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.814 * [taylor]: Taking taylor expansion of 0.5 in k 2.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.814 * [taylor]: Taking taylor expansion of 1.0 in k 2.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.814 * [taylor]: Taking taylor expansion of k in k 2.815 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.815 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.815 * [taylor]: Taking taylor expansion of n in k 2.816 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.816 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.816 * [taylor]: Taking taylor expansion of 0.5 in n 2.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.816 * [taylor]: Taking taylor expansion of 1.0 in n 2.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.816 * [taylor]: Taking taylor expansion of k in n 2.816 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.816 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.816 * [taylor]: Taking taylor expansion of n in n 2.817 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.817 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.817 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.817 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.817 * [taylor]: Taking taylor expansion of 0.5 in n 2.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.817 * [taylor]: Taking taylor expansion of k in n 2.817 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.817 * [taylor]: Taking taylor expansion of n in n 2.818 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.818 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.818 * [taylor]: Taking taylor expansion of -0.5 in k 2.818 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.818 * [taylor]: Taking taylor expansion of (log n) in k 2.818 * [taylor]: Taking taylor expansion of n in k 2.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.818 * [taylor]: Taking taylor expansion of 1.0 in k 2.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.818 * [taylor]: Taking taylor expansion of k in k 2.822 * [taylor]: Taking taylor expansion of 0 in k 2.827 * [taylor]: Taking taylor expansion of 0 in k 2.833 * [taylor]: Taking taylor expansion of 0 in k 2.833 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.833 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.833 * [taylor]: Taking taylor expansion of 0.5 in k 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.833 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.833 * [taylor]: Taking taylor expansion of k in k 2.834 * [taylor]: Taking taylor expansion of 1.0 in k 2.834 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.834 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.834 * [taylor]: Taking taylor expansion of -1 in k 2.834 * [taylor]: Taking taylor expansion of n in k 2.834 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.834 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.834 * [taylor]: Taking taylor expansion of 0.5 in n 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.835 * [taylor]: Taking taylor expansion of k in n 2.835 * [taylor]: Taking taylor expansion of 1.0 in n 2.835 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.835 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.835 * [taylor]: Taking taylor expansion of -1 in n 2.835 * [taylor]: Taking taylor expansion of n in n 2.836 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.837 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.837 * [taylor]: Taking taylor expansion of 0.5 in n 2.837 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.837 * [taylor]: Taking taylor expansion of k in n 2.837 * [taylor]: Taking taylor expansion of 1.0 in n 2.837 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.837 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.837 * [taylor]: Taking taylor expansion of -1 in n 2.837 * [taylor]: Taking taylor expansion of n in n 2.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.839 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.839 * [taylor]: Taking taylor expansion of 0.5 in k 2.839 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.839 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.839 * [taylor]: Taking taylor expansion of (log -1) in k 2.839 * [taylor]: Taking taylor expansion of -1 in k 2.839 * [taylor]: Taking taylor expansion of (log n) in k 2.839 * [taylor]: Taking taylor expansion of n in k 2.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.839 * [taylor]: Taking taylor expansion of k in k 2.839 * [taylor]: Taking taylor expansion of 1.0 in k 2.845 * [taylor]: Taking taylor expansion of 0 in k 2.849 * [taylor]: Taking taylor expansion of 0 in k 2.856 * [taylor]: Taking taylor expansion of 0 in k 2.857 * * * [progress]: simplifying candidates 2.859 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2.869 * * [simplify]: iteration 0 : 844 enodes (cost 1367 ) 2.882 * * [simplify]: iteration 1 : 3255 enodes (cost 1284 ) 2.930 * * [simplify]: iteration 2 : 5002 enodes (cost 1267 ) 2.937 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (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))) (/ 1.0 (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) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 2.938 * * * [progress]: adding candidates to table 3.464 * * [progress]: iteration 4 / 4 3.464 * * * [progress]: picking best candidate 3.489 * * * * [pick]: Picked # 3.489 * * * [progress]: localizing error 3.513 * * * [progress]: generating rewritten candidates 3.514 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.519 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.595 * * * [progress]: generating series expansions 3.595 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.596 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.596 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.596 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.596 * [taylor]: Taking taylor expansion of 0.5 in k 3.596 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.596 * [taylor]: Taking taylor expansion of 1.0 in k 3.596 * [taylor]: Taking taylor expansion of k in k 3.596 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.596 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.596 * [taylor]: Taking taylor expansion of 2.0 in k 3.596 * [taylor]: Taking taylor expansion of PI in k 3.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.601 * [taylor]: Taking taylor expansion of 0.5 in k 3.601 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.601 * [taylor]: Taking taylor expansion of 1.0 in k 3.601 * [taylor]: Taking taylor expansion of k in k 3.601 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.601 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.601 * [taylor]: Taking taylor expansion of 2.0 in k 3.601 * [taylor]: Taking taylor expansion of PI in k 3.656 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.656 * [taylor]: Taking taylor expansion of 0.5 in k 3.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.656 * [taylor]: Taking taylor expansion of 1.0 in k 3.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.656 * [taylor]: Taking taylor expansion of k in k 3.656 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.656 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.656 * [taylor]: Taking taylor expansion of 2.0 in k 3.656 * [taylor]: Taking taylor expansion of PI in k 3.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.660 * [taylor]: Taking taylor expansion of 0.5 in k 3.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.660 * [taylor]: Taking taylor expansion of 1.0 in k 3.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.660 * [taylor]: Taking taylor expansion of k in k 3.660 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.660 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.660 * [taylor]: Taking taylor expansion of 2.0 in k 3.660 * [taylor]: Taking taylor expansion of PI in k 3.665 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.665 * [taylor]: Taking taylor expansion of 0.5 in k 3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.665 * [taylor]: Taking taylor expansion of k in k 3.666 * [taylor]: Taking taylor expansion of 1.0 in k 3.666 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.666 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.666 * [taylor]: Taking taylor expansion of 2.0 in k 3.666 * [taylor]: Taking taylor expansion of PI in k 3.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.669 * [taylor]: Taking taylor expansion of 0.5 in k 3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.669 * [taylor]: Taking taylor expansion of k in k 3.669 * [taylor]: Taking taylor expansion of 1.0 in k 3.669 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.670 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.670 * [taylor]: Taking taylor expansion of 2.0 in k 3.670 * [taylor]: Taking taylor expansion of PI in k 3.674 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.675 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 3.675 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.675 * [taylor]: Taking taylor expansion of 1.0 in k 3.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.675 * [taylor]: Taking taylor expansion of k in k 3.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.676 * [taylor]: Taking taylor expansion of 0.5 in k 3.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.676 * [taylor]: Taking taylor expansion of 1.0 in k 3.676 * [taylor]: Taking taylor expansion of k in k 3.676 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.676 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.676 * [taylor]: Taking taylor expansion of 2.0 in k 3.676 * [taylor]: Taking taylor expansion of PI in k 3.681 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.681 * [taylor]: Taking taylor expansion of 1.0 in k 3.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.681 * [taylor]: Taking taylor expansion of k in k 3.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.682 * [taylor]: Taking taylor expansion of 0.5 in k 3.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.682 * [taylor]: Taking taylor expansion of 1.0 in k 3.682 * [taylor]: Taking taylor expansion of k in k 3.682 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.682 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.682 * [taylor]: Taking taylor expansion of 2.0 in k 3.682 * [taylor]: Taking taylor expansion of PI in k 3.906 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 3.906 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.906 * [taylor]: Taking taylor expansion of 1.0 in k 3.906 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.906 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.906 * [taylor]: Taking taylor expansion of k in k 3.908 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.908 * [taylor]: Taking taylor expansion of 0.5 in k 3.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.908 * [taylor]: Taking taylor expansion of 1.0 in k 3.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.908 * [taylor]: Taking taylor expansion of k in k 3.908 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.908 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.908 * [taylor]: Taking taylor expansion of 2.0 in k 3.908 * [taylor]: Taking taylor expansion of PI in k 3.912 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.912 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.912 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.913 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.913 * [taylor]: Taking taylor expansion of 0.5 in k 3.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.913 * [taylor]: Taking taylor expansion of 1.0 in k 3.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.913 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.913 * [taylor]: Taking taylor expansion of 2.0 in k 3.913 * [taylor]: Taking taylor expansion of PI in k 3.936 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 3.936 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.936 * [taylor]: Taking taylor expansion of 1.0 in k 3.936 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.936 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.936 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.936 * [taylor]: Taking taylor expansion of 0.5 in k 3.936 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.936 * [taylor]: Taking taylor expansion of k in k 3.937 * [taylor]: Taking taylor expansion of 1.0 in k 3.937 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.937 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.937 * [taylor]: Taking taylor expansion of 2.0 in k 3.937 * [taylor]: Taking taylor expansion of PI in k 3.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.940 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.940 * [taylor]: Taking taylor expansion of -1 in k 3.940 * [taylor]: Taking taylor expansion of k in k 3.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.942 * [taylor]: Taking taylor expansion of 1.0 in k 3.942 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.942 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.942 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.942 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.942 * [taylor]: Taking taylor expansion of 0.5 in k 3.942 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.942 * [taylor]: Taking taylor expansion of k in k 3.942 * [taylor]: Taking taylor expansion of 1.0 in k 3.942 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.942 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.943 * [taylor]: Taking taylor expansion of 2.0 in k 3.943 * [taylor]: Taking taylor expansion of PI in k 3.946 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.946 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.946 * [taylor]: Taking taylor expansion of -1 in k 3.946 * [taylor]: Taking taylor expansion of k in k 3.972 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.972 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.972 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.972 * [taylor]: Taking taylor expansion of 1.0 in k 3.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.972 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.972 * [taylor]: Taking taylor expansion of k in k 3.974 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.974 * [taylor]: Taking taylor expansion of 1.0 in k 3.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.974 * [taylor]: Taking taylor expansion of k in k 3.985 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.985 * [taylor]: Taking taylor expansion of 1.0 in k 3.985 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.985 * [taylor]: Taking taylor expansion of k in k 3.986 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.986 * [taylor]: Taking taylor expansion of 1.0 in k 3.986 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.986 * [taylor]: Taking taylor expansion of k in k 3.998 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.998 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.998 * [taylor]: Taking taylor expansion of 1.0 in k 3.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.998 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.998 * [taylor]: Taking taylor expansion of -1 in k 3.998 * [taylor]: Taking taylor expansion of k in k 3.999 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.999 * [taylor]: Taking taylor expansion of 1.0 in k 3.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.999 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.999 * [taylor]: Taking taylor expansion of -1 in k 3.999 * [taylor]: Taking taylor expansion of k in k 4.011 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.012 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)))) in (k n) around 0 4.012 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)))) in n 4.012 * [taylor]: Taking taylor expansion of 1.0 in n 4.012 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5))) in n 4.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.012 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.012 * [taylor]: Taking taylor expansion of k in n 4.013 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)) in n 4.013 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) in n 4.013 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.013 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.013 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.013 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.013 * [taylor]: Taking taylor expansion of 0.5 in n 4.013 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.013 * [taylor]: Taking taylor expansion of 1.0 in n 4.013 * [taylor]: Taking taylor expansion of k in n 4.013 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.013 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.013 * [taylor]: Taking taylor expansion of 2.0 in n 4.013 * [taylor]: Taking taylor expansion of PI in n 4.015 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in n 4.015 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in n 4.015 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in n 4.015 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.015 * [taylor]: Taking taylor expansion of 0.5 in n 4.015 * [taylor]: Taking taylor expansion of k in n 4.015 * [taylor]: Taking taylor expansion of (log n) in n 4.015 * [taylor]: Taking taylor expansion of n in n 4.017 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in n 4.017 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in n 4.017 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in n 4.017 * [taylor]: Taking taylor expansion of 0.5 in n 4.017 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.017 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.017 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.017 * [taylor]: Taking taylor expansion of 1.0 in n 4.017 * [taylor]: Taking taylor expansion of (log n) in n 4.017 * [taylor]: Taking taylor expansion of n in n 4.018 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)))) in k 4.018 * [taylor]: Taking taylor expansion of 1.0 in k 4.018 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5))) in k 4.018 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.018 * [taylor]: Taking taylor expansion of k in k 4.019 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)) in k 4.019 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) in k 4.019 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.019 * [taylor]: Taking taylor expansion of 0.5 in k 4.019 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.019 * [taylor]: Taking taylor expansion of 1.0 in k 4.019 * [taylor]: Taking taylor expansion of k in k 4.019 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.019 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.019 * [taylor]: Taking taylor expansion of 2.0 in k 4.019 * [taylor]: Taking taylor expansion of PI in k 4.024 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in k 4.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in k 4.024 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in k 4.024 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.024 * [taylor]: Taking taylor expansion of 0.5 in k 4.024 * [taylor]: Taking taylor expansion of k in k 4.024 * [taylor]: Taking taylor expansion of (log n) in k 4.024 * [taylor]: Taking taylor expansion of n in k 4.027 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.027 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.027 * [taylor]: Taking taylor expansion of 0.5 in k 4.027 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.027 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.027 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.027 * [taylor]: Taking taylor expansion of 1.0 in k 4.027 * [taylor]: Taking taylor expansion of (log n) in k 4.027 * [taylor]: Taking taylor expansion of n in k 4.027 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)))) in k 4.027 * [taylor]: Taking taylor expansion of 1.0 in k 4.027 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5))) in k 4.027 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.027 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.027 * [taylor]: Taking taylor expansion of k in k 4.029 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) (pow (pow n 1.0) 0.5)) in k 4.029 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 k))) in k 4.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.029 * [taylor]: Taking taylor expansion of 0.5 in k 4.029 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.029 * [taylor]: Taking taylor expansion of 1.0 in k 4.029 * [taylor]: Taking taylor expansion of k in k 4.029 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.029 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.029 * [taylor]: Taking taylor expansion of 2.0 in k 4.029 * [taylor]: Taking taylor expansion of PI in k 4.033 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in k 4.033 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in k 4.033 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in k 4.033 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.033 * [taylor]: Taking taylor expansion of 0.5 in k 4.033 * [taylor]: Taking taylor expansion of k in k 4.033 * [taylor]: Taking taylor expansion of (log n) in k 4.033 * [taylor]: Taking taylor expansion of n in k 4.036 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.037 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.037 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.037 * [taylor]: Taking taylor expansion of 0.5 in k 4.037 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.037 * [taylor]: Taking taylor expansion of 1.0 in k 4.037 * [taylor]: Taking taylor expansion of (log n) in k 4.037 * [taylor]: Taking taylor expansion of n in k 4.040 * [taylor]: Taking taylor expansion of 0 in n 4.080 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.080 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.080 * [taylor]: Taking taylor expansion of +nan.0 in n 4.080 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.080 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.080 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.080 * [taylor]: Taking taylor expansion of 0.5 in n 4.080 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.080 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.080 * [taylor]: Taking taylor expansion of 1.0 in n 4.080 * [taylor]: Taking taylor expansion of (log PI) in n 4.080 * [taylor]: Taking taylor expansion of PI in n 4.082 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.082 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.082 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.082 * [taylor]: Taking taylor expansion of 1.0 in n 4.082 * [taylor]: Taking taylor expansion of (log n) in n 4.082 * [taylor]: Taking taylor expansion of n in n 4.082 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.082 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.083 * [taylor]: Taking taylor expansion of 1.0 in n 4.083 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.083 * [taylor]: Taking taylor expansion of 2.0 in n 4.161 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 4.161 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 4.161 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.161 * [taylor]: Taking taylor expansion of +nan.0 in n 4.161 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.161 * [taylor]: Taking taylor expansion of 0.5 in n 4.161 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.161 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.161 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.162 * [taylor]: Taking taylor expansion of 1.0 in n 4.162 * [taylor]: Taking taylor expansion of (log PI) in n 4.162 * [taylor]: Taking taylor expansion of PI in n 4.163 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.163 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.164 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.164 * [taylor]: Taking taylor expansion of 1.0 in n 4.164 * [taylor]: Taking taylor expansion of (log n) in n 4.164 * [taylor]: Taking taylor expansion of n in n 4.164 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.164 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.164 * [taylor]: Taking taylor expansion of 1.0 in n 4.164 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.164 * [taylor]: Taking taylor expansion of 2.0 in n 4.170 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) in n 4.170 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 4.170 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.170 * [taylor]: Taking taylor expansion of +nan.0 in n 4.170 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.170 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.170 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.170 * [taylor]: Taking taylor expansion of 2.0 in n 4.170 * [taylor]: Taking taylor expansion of PI in n 4.171 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.171 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.171 * [taylor]: Taking taylor expansion of 0.5 in n 4.171 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.171 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.171 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.171 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.171 * [taylor]: Taking taylor expansion of 1.0 in n 4.171 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.171 * [taylor]: Taking taylor expansion of 2.0 in n 4.173 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.173 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.173 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.173 * [taylor]: Taking taylor expansion of 1.0 in n 4.173 * [taylor]: Taking taylor expansion of (log n) in n 4.173 * [taylor]: Taking taylor expansion of n in n 4.174 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.174 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.174 * [taylor]: Taking taylor expansion of 1.0 in n 4.174 * [taylor]: Taking taylor expansion of (log PI) in n 4.174 * [taylor]: Taking taylor expansion of PI in n 4.180 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 4.180 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.180 * [taylor]: Taking taylor expansion of +nan.0 in n 4.180 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.180 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.180 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.180 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.180 * [taylor]: Taking taylor expansion of 0.5 in n 4.180 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.180 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.180 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.180 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.180 * [taylor]: Taking taylor expansion of 1.0 in n 4.180 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.180 * [taylor]: Taking taylor expansion of 2.0 in n 4.182 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.182 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.182 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.182 * [taylor]: Taking taylor expansion of 1.0 in n 4.182 * [taylor]: Taking taylor expansion of (log PI) in n 4.182 * [taylor]: Taking taylor expansion of PI in n 4.184 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.184 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.184 * [taylor]: Taking taylor expansion of 1.0 in n 4.184 * [taylor]: Taking taylor expansion of (log n) in n 4.184 * [taylor]: Taking taylor expansion of n in n 4.188 * [taylor]: Taking taylor expansion of (log n) in n 4.188 * [taylor]: Taking taylor expansion of n in n 4.347 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))) in n 4.347 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))))) in n 4.347 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.347 * [taylor]: Taking taylor expansion of +nan.0 in n 4.347 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.347 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.347 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.347 * [taylor]: Taking taylor expansion of 2.0 in n 4.347 * [taylor]: Taking taylor expansion of PI in n 4.348 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.348 * [taylor]: Taking taylor expansion of 0.5 in n 4.348 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.348 * [taylor]: Taking taylor expansion of 1.0 in n 4.349 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.349 * [taylor]: Taking taylor expansion of 2.0 in n 4.350 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.350 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.350 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.350 * [taylor]: Taking taylor expansion of 1.0 in n 4.350 * [taylor]: Taking taylor expansion of (log n) in n 4.350 * [taylor]: Taking taylor expansion of n in n 4.351 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.351 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.351 * [taylor]: Taking taylor expansion of 1.0 in n 4.351 * [taylor]: Taking taylor expansion of (log PI) in n 4.351 * [taylor]: Taking taylor expansion of PI in n 4.356 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))) in n 4.357 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))))) in n 4.357 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 4.357 * [taylor]: Taking taylor expansion of +nan.0 in n 4.357 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 4.357 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 4.357 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.357 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.357 * [taylor]: Taking taylor expansion of 2.0 in n 4.357 * [taylor]: Taking taylor expansion of PI in n 4.358 * [taylor]: Taking taylor expansion of (log n) in n 4.358 * [taylor]: Taking taylor expansion of n in n 4.358 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.358 * [taylor]: Taking taylor expansion of 0.5 in n 4.358 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.358 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.358 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.358 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.358 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.358 * [taylor]: Taking taylor expansion of 1.0 in n 4.358 * [taylor]: Taking taylor expansion of (log PI) in n 4.358 * [taylor]: Taking taylor expansion of PI in n 4.361 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.361 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.361 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.361 * [taylor]: Taking taylor expansion of 1.0 in n 4.361 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.361 * [taylor]: Taking taylor expansion of 2.0 in n 4.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.363 * [taylor]: Taking taylor expansion of 1.0 in n 4.363 * [taylor]: Taking taylor expansion of (log n) in n 4.363 * [taylor]: Taking taylor expansion of n in n 4.367 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) in n 4.367 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) in n 4.367 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.367 * [taylor]: Taking taylor expansion of +nan.0 in n 4.367 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.367 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.367 * [taylor]: Taking taylor expansion of 0.5 in n 4.367 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.367 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.367 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.367 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.367 * [taylor]: Taking taylor expansion of 1.0 in n 4.367 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.367 * [taylor]: Taking taylor expansion of 2.0 in n 4.369 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.369 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.369 * [taylor]: Taking taylor expansion of 1.0 in n 4.369 * [taylor]: Taking taylor expansion of (log PI) in n 4.369 * [taylor]: Taking taylor expansion of PI in n 4.371 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.371 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.371 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.371 * [taylor]: Taking taylor expansion of 1.0 in n 4.371 * [taylor]: Taking taylor expansion of (log n) in n 4.371 * [taylor]: Taking taylor expansion of n in n 4.376 * [taylor]: Taking taylor expansion of (log n) in n 4.376 * [taylor]: Taking taylor expansion of n in n 4.376 * [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 n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 4.376 * [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 n) 2))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 4.376 * [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 n) 2))) in n 4.376 * [taylor]: Taking taylor expansion of +nan.0 in n 4.376 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.376 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.376 * [taylor]: Taking taylor expansion of 0.5 in n 4.376 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.376 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.376 * [taylor]: Taking taylor expansion of 1.0 in n 4.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.376 * [taylor]: Taking taylor expansion of 2.0 in n 4.378 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.378 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [taylor]: Taking taylor expansion of (log PI) in n 4.378 * [taylor]: Taking taylor expansion of PI in n 4.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.380 * [taylor]: Taking taylor expansion of (log n) in n 4.380 * [taylor]: Taking taylor expansion of n in n 4.384 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.384 * [taylor]: Taking taylor expansion of (log n) in n 4.384 * [taylor]: Taking taylor expansion of n in n 4.385 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 4.385 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.385 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.385 * [taylor]: Taking taylor expansion of +nan.0 in n 4.385 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.385 * [taylor]: Taking taylor expansion of 0.5 in n 4.385 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.385 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.385 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.385 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.385 * [taylor]: Taking taylor expansion of 1.0 in n 4.385 * [taylor]: Taking taylor expansion of (log PI) in n 4.385 * [taylor]: Taking taylor expansion of PI in n 4.387 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.387 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.387 * [taylor]: Taking taylor expansion of 1.0 in n 4.387 * [taylor]: Taking taylor expansion of (log n) in n 4.387 * [taylor]: Taking taylor expansion of n in n 4.388 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.388 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.388 * [taylor]: Taking taylor expansion of 1.0 in n 4.388 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.388 * [taylor]: Taking taylor expansion of 2.0 in n 4.393 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.393 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.393 * [taylor]: Taking taylor expansion of +nan.0 in n 4.393 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.393 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.393 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.393 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.393 * [taylor]: Taking taylor expansion of 2.0 in n 4.394 * [taylor]: Taking taylor expansion of PI in n 4.394 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.395 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.395 * [taylor]: Taking taylor expansion of 0.5 in n 4.395 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.395 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log PI) in n 4.395 * [taylor]: Taking taylor expansion of PI in n 4.397 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.397 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [taylor]: Taking taylor expansion of (log n) in n 4.397 * [taylor]: Taking taylor expansion of n in n 4.397 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.397 * [taylor]: Taking taylor expansion of 2.0 in n 4.517 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)))) in (k n) around 0 4.517 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)))) in n 4.517 * [taylor]: Taking taylor expansion of 1.0 in n 4.517 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5))) in n 4.517 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.517 * [taylor]: Taking taylor expansion of k in n 4.517 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.517 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) in n 4.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.517 * [taylor]: Taking taylor expansion of 0.5 in n 4.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.517 * [taylor]: Taking taylor expansion of 1.0 in n 4.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.517 * [taylor]: Taking taylor expansion of k in n 4.517 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.517 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.517 * [taylor]: Taking taylor expansion of 2.0 in n 4.517 * [taylor]: Taking taylor expansion of PI in n 4.519 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in n 4.520 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in n 4.520 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in n 4.520 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.520 * [taylor]: Taking taylor expansion of 0.5 in n 4.520 * [taylor]: Taking taylor expansion of k in n 4.520 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.520 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.520 * [taylor]: Taking taylor expansion of n in n 4.521 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.521 * [taylor]: Taking taylor expansion of 0.5 in n 4.521 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.521 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.522 * [taylor]: Taking taylor expansion of 1.0 in n 4.522 * [taylor]: Taking taylor expansion of (log n) in n 4.522 * [taylor]: Taking taylor expansion of n in n 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)))) in k 4.523 * [taylor]: Taking taylor expansion of 1.0 in k 4.523 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5))) in k 4.523 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.523 * [taylor]: Taking taylor expansion of k in k 4.524 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in k 4.524 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) in k 4.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.524 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.524 * [taylor]: Taking taylor expansion of 0.5 in k 4.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.524 * [taylor]: Taking taylor expansion of 1.0 in k 4.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.524 * [taylor]: Taking taylor expansion of k in k 4.524 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.524 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.524 * [taylor]: Taking taylor expansion of 2.0 in k 4.524 * [taylor]: Taking taylor expansion of PI in k 4.528 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in k 4.528 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in k 4.528 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in k 4.528 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.528 * [taylor]: Taking taylor expansion of 0.5 in k 4.528 * [taylor]: Taking taylor expansion of k in k 4.528 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.528 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.528 * [taylor]: Taking taylor expansion of n in k 4.529 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.529 * [taylor]: Taking taylor expansion of 0.5 in k 4.529 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.529 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.529 * [taylor]: Taking taylor expansion of 1.0 in k 4.529 * [taylor]: Taking taylor expansion of (log n) in k 4.529 * [taylor]: Taking taylor expansion of n in k 4.530 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)))) in k 4.530 * [taylor]: Taking taylor expansion of 1.0 in k 4.530 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5))) in k 4.530 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.530 * [taylor]: Taking taylor expansion of k in k 4.531 * [taylor]: Taking taylor expansion of (* (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in k 4.531 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (/ 0.5 k))) in k 4.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.531 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.531 * [taylor]: Taking taylor expansion of 0.5 in k 4.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.531 * [taylor]: Taking taylor expansion of 1.0 in k 4.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.531 * [taylor]: Taking taylor expansion of k in k 4.532 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.532 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.532 * [taylor]: Taking taylor expansion of 2.0 in k 4.532 * [taylor]: Taking taylor expansion of PI in k 4.535 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in k 4.535 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in k 4.535 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in k 4.535 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.535 * [taylor]: Taking taylor expansion of 0.5 in k 4.535 * [taylor]: Taking taylor expansion of k in k 4.535 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.536 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.536 * [taylor]: Taking taylor expansion of n in k 4.536 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.537 * [taylor]: Taking taylor expansion of 0.5 in k 4.537 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.537 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.537 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.537 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.537 * [taylor]: Taking taylor expansion of 1.0 in k 4.537 * [taylor]: Taking taylor expansion of (log n) in k 4.537 * [taylor]: Taking taylor expansion of n in k 4.540 * [taylor]: Taking taylor expansion of 0 in n 4.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)))) in n 4.548 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5))) in n 4.548 * [taylor]: Taking taylor expansion of +nan.0 in n 4.548 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.548 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) in n 4.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.548 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.548 * [taylor]: Taking taylor expansion of 0.5 in n 4.548 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.548 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.548 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.548 * [taylor]: Taking taylor expansion of 2.0 in n 4.548 * [taylor]: Taking taylor expansion of PI in n 4.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.549 * [taylor]: Taking taylor expansion of k in n 4.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (/ 1 n)) k))) in n 4.551 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (/ 1 n)) k)) in n 4.551 * [taylor]: Taking taylor expansion of 0.5 in n 4.551 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) k) in n 4.551 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.551 * [taylor]: Taking taylor expansion of n in n 4.552 * [taylor]: Taking taylor expansion of k in n 4.553 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.553 * [taylor]: Taking taylor expansion of 0.5 in n 4.553 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.553 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.553 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.553 * [taylor]: Taking taylor expansion of 1.0 in n 4.554 * [taylor]: Taking taylor expansion of (log n) in n 4.554 * [taylor]: Taking taylor expansion of n in n 4.572 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)))) in n 4.573 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5))) in n 4.573 * [taylor]: Taking taylor expansion of +nan.0 in n 4.573 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.573 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) in n 4.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.573 * [taylor]: Taking taylor expansion of 0.5 in n 4.573 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.573 * [taylor]: Taking taylor expansion of 2.0 in n 4.573 * [taylor]: Taking taylor expansion of PI in n 4.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.574 * [taylor]: Taking taylor expansion of 1.0 in n 4.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.574 * [taylor]: Taking taylor expansion of k in n 4.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (/ 1 n)) k))) in n 4.576 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (/ 1 n)) k)) in n 4.576 * [taylor]: Taking taylor expansion of 0.5 in n 4.576 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) k) in n 4.576 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.576 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.576 * [taylor]: Taking taylor expansion of n in n 4.577 * [taylor]: Taking taylor expansion of k in n 4.578 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.578 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.578 * [taylor]: Taking taylor expansion of 0.5 in n 4.578 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.578 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.578 * [taylor]: Taking taylor expansion of 1.0 in n 4.578 * [taylor]: Taking taylor expansion of (log n) in n 4.578 * [taylor]: Taking taylor expansion of n in n 4.621 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)))) in n 4.621 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5))) in n 4.621 * [taylor]: Taking taylor expansion of +nan.0 in n 4.621 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.621 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log (/ 1 n)) k)))) in n 4.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.622 * [taylor]: Taking taylor expansion of 0.5 in n 4.622 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.622 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.622 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.622 * [taylor]: Taking taylor expansion of 2.0 in n 4.622 * [taylor]: Taking taylor expansion of PI in n 4.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.623 * [taylor]: Taking taylor expansion of 1.0 in n 4.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.623 * [taylor]: Taking taylor expansion of k in n 4.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (/ 1 n)) k))) in n 4.625 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (/ 1 n)) k)) in n 4.625 * [taylor]: Taking taylor expansion of 0.5 in n 4.625 * [taylor]: Taking taylor expansion of (/ (log (/ 1 n)) k) in n 4.625 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.625 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.625 * [taylor]: Taking taylor expansion of n in n 4.626 * [taylor]: Taking taylor expansion of k in n 4.627 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.627 * [taylor]: Taking taylor expansion of 0.5 in n 4.627 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.627 * [taylor]: Taking taylor expansion of 1.0 in n 4.627 * [taylor]: Taking taylor expansion of (log n) in n 4.627 * [taylor]: Taking taylor expansion of n in n 4.637 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))))) in (k n) around 0 4.637 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))))) in n 4.637 * [taylor]: Taking taylor expansion of 1.0 in n 4.637 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))))) in n 4.637 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.637 * [taylor]: Taking taylor expansion of 0.5 in n 4.637 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.637 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.637 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.638 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.638 * [taylor]: Taking taylor expansion of 1.0 in n 4.638 * [taylor]: Taking taylor expansion of (log -1) in n 4.638 * [taylor]: Taking taylor expansion of -1 in n 4.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.639 * [taylor]: Taking taylor expansion of 1.0 in n 4.639 * [taylor]: Taking taylor expansion of (log n) in n 4.639 * [taylor]: Taking taylor expansion of n in n 4.642 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))) in n 4.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.642 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.642 * [taylor]: Taking taylor expansion of 0.5 in n 4.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.642 * [taylor]: Taking taylor expansion of k in n 4.642 * [taylor]: Taking taylor expansion of 1.0 in n 4.642 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.642 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.642 * [taylor]: Taking taylor expansion of 2.0 in n 4.642 * [taylor]: Taking taylor expansion of PI in n 4.645 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))) in n 4.645 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.645 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.645 * [taylor]: Taking taylor expansion of -1 in n 4.645 * [taylor]: Taking taylor expansion of k in n 4.645 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in n 4.645 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in n 4.645 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in n 4.645 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.645 * [taylor]: Taking taylor expansion of -0.5 in n 4.645 * [taylor]: Taking taylor expansion of k in n 4.645 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.645 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.645 * [taylor]: Taking taylor expansion of -1 in n 4.645 * [taylor]: Taking taylor expansion of n in n 4.648 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))))) in k 4.648 * [taylor]: Taking taylor expansion of 1.0 in k 4.648 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))))) in k 4.648 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.648 * [taylor]: Taking taylor expansion of 0.5 in k 4.648 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.648 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.648 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.648 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.648 * [taylor]: Taking taylor expansion of 1.0 in k 4.648 * [taylor]: Taking taylor expansion of (log -1) in k 4.648 * [taylor]: Taking taylor expansion of -1 in k 4.650 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.650 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.650 * [taylor]: Taking taylor expansion of 1.0 in k 4.650 * [taylor]: Taking taylor expansion of (log n) in k 4.650 * [taylor]: Taking taylor expansion of n in k 4.652 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))) in k 4.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.652 * [taylor]: Taking taylor expansion of 0.5 in k 4.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.652 * [taylor]: Taking taylor expansion of k in k 4.653 * [taylor]: Taking taylor expansion of 1.0 in k 4.653 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.653 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.653 * [taylor]: Taking taylor expansion of 2.0 in k 4.653 * [taylor]: Taking taylor expansion of PI in k 4.656 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))) in k 4.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.656 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.656 * [taylor]: Taking taylor expansion of -1 in k 4.656 * [taylor]: Taking taylor expansion of k in k 4.657 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in k 4.657 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in k 4.657 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in k 4.657 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.657 * [taylor]: Taking taylor expansion of -0.5 in k 4.657 * [taylor]: Taking taylor expansion of k in k 4.658 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.658 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.658 * [taylor]: Taking taylor expansion of -1 in k 4.658 * [taylor]: Taking taylor expansion of n in k 4.659 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))))) in k 4.659 * [taylor]: Taking taylor expansion of 1.0 in k 4.659 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))))) in k 4.659 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.659 * [taylor]: Taking taylor expansion of 0.5 in k 4.659 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.659 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.659 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.659 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.659 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.659 * [taylor]: Taking taylor expansion of 1.0 in k 4.659 * [taylor]: Taking taylor expansion of (log -1) in k 4.660 * [taylor]: Taking taylor expansion of -1 in k 4.661 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.661 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.661 * [taylor]: Taking taylor expansion of 1.0 in k 4.661 * [taylor]: Taking taylor expansion of (log n) in k 4.661 * [taylor]: Taking taylor expansion of n in k 4.663 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k)))) in k 4.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.663 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.663 * [taylor]: Taking taylor expansion of 0.5 in k 4.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.663 * [taylor]: Taking taylor expansion of k in k 4.664 * [taylor]: Taking taylor expansion of 1.0 in k 4.664 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.664 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.664 * [taylor]: Taking taylor expansion of 2.0 in k 4.664 * [taylor]: Taking taylor expansion of PI in k 4.667 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -1 n) (/ -0.5 k))) in k 4.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.667 * [taylor]: Taking taylor expansion of -1 in k 4.667 * [taylor]: Taking taylor expansion of k in k 4.669 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in k 4.669 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in k 4.669 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in k 4.669 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.669 * [taylor]: Taking taylor expansion of -0.5 in k 4.669 * [taylor]: Taking taylor expansion of k in k 4.669 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.669 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.669 * [taylor]: Taking taylor expansion of -1 in k 4.669 * [taylor]: Taking taylor expansion of n in k 4.674 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))))) in n 4.674 * [taylor]: Taking taylor expansion of +nan.0 in n 4.674 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k))))) in n 4.674 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.674 * [taylor]: Taking taylor expansion of 0.5 in n 4.674 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.674 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.674 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.674 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.674 * [taylor]: Taking taylor expansion of 1.0 in n 4.674 * [taylor]: Taking taylor expansion of (log -1) in n 4.674 * [taylor]: Taking taylor expansion of -1 in n 4.676 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.676 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.676 * [taylor]: Taking taylor expansion of 1.0 in n 4.676 * [taylor]: Taking taylor expansion of (log n) in n 4.676 * [taylor]: Taking taylor expansion of n in n 4.678 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))) in n 4.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.678 * [taylor]: Taking taylor expansion of 0.5 in n 4.678 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.678 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.678 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.678 * [taylor]: Taking taylor expansion of 2.0 in n 4.678 * [taylor]: Taking taylor expansion of PI in n 4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.679 * [taylor]: Taking taylor expansion of k in n 4.679 * [taylor]: Taking taylor expansion of 1.0 in n 4.681 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (/ -1 n)) k))) in n 4.682 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (/ -1 n)) k)) in n 4.682 * [taylor]: Taking taylor expansion of -0.5 in n 4.682 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) k) in n 4.682 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.682 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.682 * [taylor]: Taking taylor expansion of -1 in n 4.682 * [taylor]: Taking taylor expansion of n in n 4.682 * [taylor]: Taking taylor expansion of k in n 4.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k))))))) in n 4.712 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))))) in n 4.712 * [taylor]: Taking taylor expansion of +nan.0 in n 4.712 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k))))) in n 4.712 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.712 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.712 * [taylor]: Taking taylor expansion of 0.5 in n 4.712 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.712 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.712 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.713 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.713 * [taylor]: Taking taylor expansion of 1.0 in n 4.713 * [taylor]: Taking taylor expansion of (log -1) in n 4.713 * [taylor]: Taking taylor expansion of -1 in n 4.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.714 * [taylor]: Taking taylor expansion of 1.0 in n 4.714 * [taylor]: Taking taylor expansion of (log n) in n 4.714 * [taylor]: Taking taylor expansion of n in n 4.717 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))) in n 4.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.717 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.717 * [taylor]: Taking taylor expansion of 0.5 in n 4.717 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.717 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.717 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.717 * [taylor]: Taking taylor expansion of 2.0 in n 4.717 * [taylor]: Taking taylor expansion of PI in n 4.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.718 * [taylor]: Taking taylor expansion of k in n 4.718 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (/ -1 n)) k))) in n 4.720 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (/ -1 n)) k)) in n 4.720 * [taylor]: Taking taylor expansion of -0.5 in n 4.720 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) k) in n 4.720 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.720 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.720 * [taylor]: Taking taylor expansion of -1 in n 4.720 * [taylor]: Taking taylor expansion of n in n 4.721 * [taylor]: Taking taylor expansion of k in n 4.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k))))))) in n 4.774 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))))) in n 4.774 * [taylor]: Taking taylor expansion of +nan.0 in n 4.774 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k))))) in n 4.774 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.774 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.774 * [taylor]: Taking taylor expansion of 0.5 in n 4.774 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.774 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.774 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.774 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.774 * [taylor]: Taking taylor expansion of 1.0 in n 4.774 * [taylor]: Taking taylor expansion of (log -1) in n 4.774 * [taylor]: Taking taylor expansion of -1 in n 4.776 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.776 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.776 * [taylor]: Taking taylor expansion of 1.0 in n 4.776 * [taylor]: Taking taylor expansion of (log n) in n 4.776 * [taylor]: Taking taylor expansion of n in n 4.778 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (exp (* -0.5 (/ (log (/ -1 n)) k)))) in n 4.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.778 * [taylor]: Taking taylor expansion of 0.5 in n 4.778 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.779 * [taylor]: Taking taylor expansion of 2.0 in n 4.779 * [taylor]: Taking taylor expansion of PI in n 4.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.780 * [taylor]: Taking taylor expansion of k in n 4.780 * [taylor]: Taking taylor expansion of 1.0 in n 4.782 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (/ -1 n)) k))) in n 4.782 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (/ -1 n)) k)) in n 4.782 * [taylor]: Taking taylor expansion of -0.5 in n 4.782 * [taylor]: Taking taylor expansion of (/ (log (/ -1 n)) k) in n 4.782 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.782 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.782 * [taylor]: Taking taylor expansion of -1 in n 4.782 * [taylor]: Taking taylor expansion of n in n 4.782 * [taylor]: Taking taylor expansion of k in n 4.804 * * * [progress]: simplifying candidates 4.809 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))) (log1p (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0))))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0))))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ 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(cbrt n)) (/ k 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ k 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow (sqrt n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (sqrt (pow n (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow n (/ (/ k 2.0) 2)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (sqrt n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ 1.0 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ 1.0 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow n (/ (/ k 2.0) 2)))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ k 2.0) 2))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ 1.0 2.0) 2)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0)))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ 1.0 2.0) 2)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (fma +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +nan.0 (pow (* (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 n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (* (pow k 3) (exp (* -0.5 (* k (log (/ 1 n))))))) (pow (pow n 1.0) 0.5)))) (fma +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (* k (exp (* -0.5 (* k (log (/ 1 n))))))) (pow (pow n 1.0) 0.5)) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (* (pow k 2) (exp (* -0.5 (* k (log (/ 1 n))))))) (pow (pow n 1.0) 0.5)))))) (+ (* (- (* +nan.0 (exp (- (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* 0.5 (* k (- (log -1) (log (/ -1 n))))))))) (pow (pow n 1.0) 0.5)) (fma +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (* k (exp (* 0.5 (* k (- (log -1) (log (/ -1 n)))))))) (pow (pow n 1.0) 0.5)) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (* (pow k 2) (exp (* 0.5 (* k (- (log -1) (log (/ -1 n)))))))) (pow (pow n 1.0) 0.5)))))) 4.870 * * * [progress]: adding candidates to table 5.663 * [progress]: [Phase 3 of 3] Extracting. 5.663 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.665 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.665 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.704 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 5.733 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.770 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.803 * * * [regime]: Found split indices: #