15.571 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.189 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.193 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.195 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.196 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.197 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.200 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.205 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.228 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.228 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.228 * * [progress]: iteration 1 / 4 0.228 * * * [progress]: picking best candidate 0.232 * * * * [pick]: Picked # 0.232 * * * [progress]: localizing error 0.246 * * * [progress]: generating rewritten candidates 0.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.259 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.284 * * * [progress]: generating series expansions 0.284 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.285 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.285 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.285 * [taylor]: Taking taylor expansion of 0.5 in k 0.285 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.285 * [taylor]: Taking taylor expansion of 1.0 in k 0.285 * [taylor]: Taking taylor expansion of k in k 0.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.285 * [taylor]: Taking taylor expansion of 2.0 in k 0.285 * [taylor]: Taking taylor expansion of (* n PI) in k 0.285 * [taylor]: Taking taylor expansion of n in k 0.285 * [taylor]: Taking taylor expansion of PI in k 0.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.286 * [taylor]: Taking taylor expansion of 0.5 in n 0.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of k in n 0.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.286 * [taylor]: Taking taylor expansion of 2.0 in n 0.286 * [taylor]: Taking taylor expansion of (* n PI) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.292 * [taylor]: Taking taylor expansion of 2.0 in n 0.292 * [taylor]: Taking taylor expansion of (* n PI) in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.297 * [taylor]: Taking taylor expansion of 0.5 in k 0.297 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.297 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.297 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.297 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.297 * [taylor]: Taking taylor expansion of 2.0 in k 0.297 * [taylor]: Taking taylor expansion of PI in k 0.298 * [taylor]: Taking taylor expansion of (log n) in k 0.298 * [taylor]: Taking taylor expansion of n in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.344 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.345 * [taylor]: Taking taylor expansion of 2.0 in k 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.345 * [taylor]: Taking taylor expansion of PI in k 0.345 * [taylor]: Taking taylor expansion of n in k 0.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.346 * [taylor]: Taking taylor expansion of 0.5 in n 0.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.346 * [taylor]: Taking taylor expansion of 1.0 in n 0.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.346 * [taylor]: Taking taylor expansion of k in n 0.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.346 * [taylor]: Taking taylor expansion of 2.0 in n 0.346 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.346 * [taylor]: Taking taylor expansion of PI in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.350 * [taylor]: Taking taylor expansion of 0.5 in n 0.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.350 * [taylor]: Taking taylor expansion of k in n 0.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.350 * [taylor]: Taking taylor expansion of 2.0 in n 0.350 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.350 * [taylor]: Taking taylor expansion of PI in n 0.350 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.353 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.353 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.353 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.353 * [taylor]: Taking taylor expansion of 2.0 in k 0.353 * [taylor]: Taking taylor expansion of PI in k 0.354 * [taylor]: Taking taylor expansion of (log n) in k 0.354 * [taylor]: Taking taylor expansion of n in k 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.354 * [taylor]: Taking taylor expansion of 1.0 in k 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.354 * [taylor]: Taking taylor expansion of k in k 0.364 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [taylor]: Taking taylor expansion of 0 in k 0.380 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.380 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.380 * [taylor]: Taking taylor expansion of 0.5 in k 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.381 * [taylor]: Taking taylor expansion of -2.0 in k 0.381 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.381 * [taylor]: Taking taylor expansion of PI in k 0.381 * [taylor]: Taking taylor expansion of n in k 0.382 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.382 * [taylor]: Taking taylor expansion of 0.5 in n 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.382 * [taylor]: Taking taylor expansion of k in n 0.382 * [taylor]: Taking taylor expansion of 1.0 in n 0.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.382 * [taylor]: Taking taylor expansion of -2.0 in n 0.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.382 * [taylor]: Taking taylor expansion of PI in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.385 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.386 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.386 * [taylor]: Taking taylor expansion of 0.5 in n 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.386 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.386 * [taylor]: Taking taylor expansion of k in n 0.386 * [taylor]: Taking taylor expansion of 1.0 in n 0.386 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.386 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.386 * [taylor]: Taking taylor expansion of -2.0 in n 0.386 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.386 * [taylor]: Taking taylor expansion of PI in n 0.386 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.389 * [taylor]: Taking taylor expansion of 0.5 in k 0.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.389 * [taylor]: Taking taylor expansion of k in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.390 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.390 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.390 * [taylor]: Taking taylor expansion of -2.0 in k 0.390 * [taylor]: Taking taylor expansion of PI in k 0.391 * [taylor]: Taking taylor expansion of (log n) in k 0.391 * [taylor]: Taking taylor expansion of n in k 0.399 * [taylor]: Taking taylor expansion of 0 in k 0.406 * [taylor]: Taking taylor expansion of 0 in k 0.414 * [taylor]: Taking taylor expansion of 0 in k 0.415 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.415 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.431 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.440 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.440 * [taylor]: Taking taylor expansion of -2.0 in n 0.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.440 * [taylor]: Taking taylor expansion of -2.0 in n 0.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.448 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.448 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.467 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.467 * [taylor]: Taking taylor expansion of 1.0 in k 0.467 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.467 * [taylor]: Taking taylor expansion of k in k 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.485 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.485 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.485 * [taylor]: Taking taylor expansion of 1.0 in k 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.485 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.485 * [taylor]: Taking taylor expansion of -1 in k 0.485 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.486 * [taylor]: Taking taylor expansion of 1.0 in k 0.486 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.486 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.486 * [taylor]: Taking taylor expansion of -1 in k 0.486 * [taylor]: Taking taylor expansion of k in k 0.628 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.629 * [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 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.629 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (* n PI) in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.636 * [taylor]: Taking taylor expansion of 0.5 in k 0.636 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.636 * [taylor]: Taking taylor expansion of 2.0 in k 0.636 * [taylor]: Taking taylor expansion of (* n PI) in k 0.636 * [taylor]: Taking taylor expansion of n in k 0.636 * [taylor]: Taking taylor expansion of PI in k 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.637 * [taylor]: Taking taylor expansion of 1.0 in k 0.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.638 * [taylor]: Taking taylor expansion of k in k 0.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.639 * [taylor]: Taking taylor expansion of 0.5 in k 0.639 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.639 * [taylor]: Taking taylor expansion of 1.0 in k 0.639 * [taylor]: Taking taylor expansion of k in k 0.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.639 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.639 * [taylor]: Taking taylor expansion of 2.0 in k 0.639 * [taylor]: Taking taylor expansion of (* n PI) in k 0.639 * [taylor]: Taking taylor expansion of n in k 0.639 * [taylor]: Taking taylor expansion of PI in k 0.640 * [taylor]: Taking taylor expansion of 0 in n 0.648 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.648 * [taylor]: Taking taylor expansion of NAN in n 0.648 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.648 * [taylor]: Taking taylor expansion of 0.5 in n 0.648 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.648 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.648 * [taylor]: Taking taylor expansion of (log PI) in n 0.649 * [taylor]: Taking taylor expansion of PI in n 0.650 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.650 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.650 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.650 * [taylor]: Taking taylor expansion of 1.0 in n 0.650 * [taylor]: Taking taylor expansion of (log n) in n 0.650 * [taylor]: Taking taylor expansion of n 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 0.670 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.671 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 n 1.0) (pow PI 1.0)))) in n 0.671 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 0.672 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.672 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.672 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.672 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (log n) in n 0.673 * [taylor]: Taking taylor expansion of n 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 0.678 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.678 * [taylor]: Taking taylor expansion of NAN in n 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.678 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.678 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.678 * [taylor]: Taking taylor expansion of 2.0 in n 0.678 * [taylor]: Taking taylor expansion of (* n PI) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of NAN in n 0.682 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.682 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.682 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.682 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.684 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log n) in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log PI) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.742 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.742 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.742 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.743 * [taylor]: Taking taylor expansion of 0.125 in n 0.743 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.743 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.743 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.743 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.743 * [taylor]: Taking taylor expansion of 2.0 in n 0.743 * [taylor]: Taking taylor expansion of (* n PI) in n 0.743 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.746 * [taylor]: Taking taylor expansion of NAN in n 0.746 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.746 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.747 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.747 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.747 * [taylor]: Taking taylor expansion of 1.0 in n 0.747 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.747 * [taylor]: Taking taylor expansion of 2.0 in n 0.748 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.748 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.748 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.748 * [taylor]: Taking taylor expansion of 1.0 in n 0.748 * [taylor]: Taking taylor expansion of (log n) in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.749 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.749 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.749 * [taylor]: Taking taylor expansion of 1.0 in n 0.749 * [taylor]: Taking taylor expansion of (log PI) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.754 * [taylor]: Taking taylor expansion of 1.0 in n 0.754 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.754 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.754 * [taylor]: Taking taylor expansion of 0.5 in n 0.754 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.754 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.754 * [taylor]: Taking taylor expansion of 1.0 in n 0.754 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.754 * [taylor]: Taking taylor expansion of 2.0 in n 0.756 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.756 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.756 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.756 * [taylor]: Taking taylor expansion of 1.0 in n 0.756 * [taylor]: Taking taylor expansion of (log n) in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.757 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.757 * [taylor]: Taking taylor expansion of 1.0 in n 0.757 * [taylor]: Taking taylor expansion of (log PI) in n 0.757 * [taylor]: Taking taylor expansion of PI in n 0.762 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.762 * [taylor]: Taking taylor expansion of NAN in n 0.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.762 * [taylor]: Taking taylor expansion of 0.5 in n 0.762 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.762 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.762 * [taylor]: Taking taylor expansion of 2.0 in n 0.762 * [taylor]: Taking taylor expansion of (* n PI) in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of PI in n 0.765 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.765 * [taylor]: Taking taylor expansion of NAN in n 0.765 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.765 * [taylor]: Taking taylor expansion of 0.5 in n 0.765 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.765 * [taylor]: Taking taylor expansion of 2.0 in n 0.767 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.767 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.767 * [taylor]: Taking taylor expansion of 1.0 in n 0.767 * [taylor]: Taking taylor expansion of (log n) in n 0.767 * [taylor]: Taking taylor expansion of n in n 0.767 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.768 * [taylor]: Taking taylor expansion of 1.0 in n 0.768 * [taylor]: Taking taylor expansion of (log PI) in n 0.768 * [taylor]: Taking taylor expansion of PI in n 0.833 * [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 0.833 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.833 * [taylor]: Taking taylor expansion of 1.0 in n 0.833 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.833 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.833 * [taylor]: Taking taylor expansion of k in n 0.833 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.833 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.833 * [taylor]: Taking taylor expansion of 0.5 in n 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.833 * [taylor]: Taking taylor expansion of 1.0 in n 0.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.833 * [taylor]: Taking taylor expansion of k in n 0.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.834 * [taylor]: Taking taylor expansion of 2.0 in n 0.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.834 * [taylor]: Taking taylor expansion of PI in n 0.834 * [taylor]: Taking taylor expansion of n in n 0.837 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.837 * [taylor]: Taking taylor expansion of 1.0 in k 0.837 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.837 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.837 * [taylor]: Taking taylor expansion of k in k 0.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.838 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.838 * [taylor]: Taking taylor expansion of 0.5 in k 0.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.839 * [taylor]: Taking taylor expansion of 1.0 in k 0.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.839 * [taylor]: Taking taylor expansion of k in k 0.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.839 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.839 * [taylor]: Taking taylor expansion of 2.0 in k 0.839 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.839 * [taylor]: Taking taylor expansion of PI in k 0.839 * [taylor]: Taking taylor expansion of n in k 0.840 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.840 * [taylor]: Taking taylor expansion of 1.0 in k 0.840 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.840 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.840 * [taylor]: Taking taylor expansion of k in k 0.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.841 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.841 * [taylor]: Taking taylor expansion of 0.5 in k 0.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.842 * [taylor]: Taking taylor expansion of 1.0 in k 0.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.842 * [taylor]: Taking taylor expansion of k in k 0.842 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.842 * [taylor]: Taking taylor expansion of 2.0 in k 0.842 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.842 * [taylor]: Taking taylor expansion of PI in k 0.842 * [taylor]: Taking taylor expansion of n in k 0.843 * [taylor]: Taking taylor expansion of 0 in n 0.844 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.844 * [taylor]: Taking taylor expansion of 1.0 in n 0.844 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.844 * [taylor]: Taking taylor expansion of NAN in n 0.844 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.844 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.844 * [taylor]: Taking taylor expansion of 0.5 in n 0.844 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.844 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.844 * [taylor]: Taking taylor expansion of 2.0 in n 0.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.844 * [taylor]: Taking taylor expansion of PI in n 0.844 * [taylor]: Taking taylor expansion of n in n 0.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.846 * [taylor]: Taking taylor expansion of 1.0 in n 0.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.846 * [taylor]: Taking taylor expansion of k in n 0.855 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.855 * [taylor]: Taking taylor expansion of 1.0 in n 0.855 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.855 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.855 * [taylor]: Taking taylor expansion of NAN in n 0.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.855 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.855 * [taylor]: Taking taylor expansion of 0.5 in n 0.855 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.855 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.855 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.855 * [taylor]: Taking taylor expansion of 2.0 in n 0.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.855 * [taylor]: Taking taylor expansion of PI in n 0.855 * [taylor]: Taking taylor expansion of n in n 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.856 * [taylor]: Taking taylor expansion of 1.0 in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.856 * [taylor]: Taking taylor expansion of k in n 0.878 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.878 * [taylor]: Taking taylor expansion of 1.0 in n 0.878 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.878 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.878 * [taylor]: Taking taylor expansion of NAN in n 0.878 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.878 * [taylor]: Taking taylor expansion of 0.5 in n 0.878 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.878 * [taylor]: Taking taylor expansion of 2.0 in n 0.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.878 * [taylor]: Taking taylor expansion of PI in n 0.878 * [taylor]: Taking taylor expansion of n in n 0.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.880 * [taylor]: Taking taylor expansion of 1.0 in n 0.880 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.880 * [taylor]: Taking taylor expansion of k in n 0.892 * [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 0.892 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.892 * [taylor]: Taking taylor expansion of 1.0 in n 0.892 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.892 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.892 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.892 * [taylor]: Taking taylor expansion of 0.5 in n 0.892 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.892 * [taylor]: Taking taylor expansion of k in n 0.892 * [taylor]: Taking taylor expansion of 1.0 in n 0.892 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.893 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.893 * [taylor]: Taking taylor expansion of -2.0 in n 0.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.893 * [taylor]: Taking taylor expansion of PI in n 0.893 * [taylor]: Taking taylor expansion of n in n 0.896 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.896 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.896 * [taylor]: Taking taylor expansion of -1 in n 0.896 * [taylor]: Taking taylor expansion of k in n 0.897 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.897 * [taylor]: Taking taylor expansion of 1.0 in k 0.897 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.897 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.897 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.897 * [taylor]: Taking taylor expansion of 0.5 in k 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.897 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.897 * [taylor]: Taking taylor expansion of k in k 0.898 * [taylor]: Taking taylor expansion of 1.0 in k 0.898 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.898 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.898 * [taylor]: Taking taylor expansion of -2.0 in k 0.898 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.898 * [taylor]: Taking taylor expansion of PI in k 0.898 * [taylor]: Taking taylor expansion of n in k 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.899 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.899 * [taylor]: Taking taylor expansion of -1 in k 0.899 * [taylor]: Taking taylor expansion of k in k 0.900 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.900 * [taylor]: Taking taylor expansion of 1.0 in k 0.900 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.900 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.900 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.900 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.900 * [taylor]: Taking taylor expansion of 0.5 in k 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.900 * [taylor]: Taking taylor expansion of k in k 0.901 * [taylor]: Taking taylor expansion of 1.0 in k 0.901 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.901 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.901 * [taylor]: Taking taylor expansion of -2.0 in k 0.901 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.901 * [taylor]: Taking taylor expansion of PI in k 0.901 * [taylor]: Taking taylor expansion of n in k 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.905 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.905 * [taylor]: Taking taylor expansion of -1 in k 0.905 * [taylor]: Taking taylor expansion of k in k 0.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.907 * [taylor]: Taking taylor expansion of 1.0 in n 0.907 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.907 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.907 * [taylor]: Taking taylor expansion of 0.5 in n 0.907 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.907 * [taylor]: Taking taylor expansion of k in n 0.907 * [taylor]: Taking taylor expansion of 1.0 in n 0.907 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.907 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of -2.0 in n 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of NAN in n 0.918 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.918 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.918 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.918 * [taylor]: Taking taylor expansion of 0.5 in n 0.918 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.918 * [taylor]: Taking taylor expansion of k in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.918 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.918 * [taylor]: Taking taylor expansion of -2.0 in n 0.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.918 * [taylor]: Taking taylor expansion of PI in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.922 * [taylor]: Taking taylor expansion of NAN in n 0.941 * [taylor]: Taking taylor expansion of 0 in n 0.971 * [taylor]: Taking taylor expansion of 0 in n 0.973 * * * [progress]: simplifying candidates 0.975 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 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1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))) (* 1.0 (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2)))) (* 1.0 (* k (pow NAN 3)))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log (* 2.0 PI)))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 1.079 * * * [progress]: adding candidates to table 1.613 * * [progress]: iteration 2 / 4 1.613 * * * [progress]: picking best candidate 1.650 * * * * [pick]: Picked # 1.650 * * * [progress]: localizing error 1.669 * * * [progress]: generating rewritten candidates 1.669 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.676 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.686 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.709 * * * [progress]: generating series expansions 1.709 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.710 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.710 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.710 * [taylor]: Taking taylor expansion of 0.5 in k 1.710 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [taylor]: Taking taylor expansion of k in k 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.710 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.710 * [taylor]: Taking taylor expansion of 2.0 in k 1.710 * [taylor]: Taking taylor expansion of PI in k 1.714 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.715 * [taylor]: Taking taylor expansion of 0.5 in k 1.715 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [taylor]: Taking taylor expansion of k in k 1.715 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.715 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.715 * [taylor]: Taking taylor expansion of 2.0 in k 1.715 * [taylor]: Taking taylor expansion of PI in k 1.765 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.765 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.765 * [taylor]: Taking taylor expansion of 0.5 in k 1.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.765 * [taylor]: Taking taylor expansion of 1.0 in k 1.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.765 * [taylor]: Taking taylor expansion of k in k 1.765 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.765 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.765 * [taylor]: Taking taylor expansion of 2.0 in k 1.765 * [taylor]: Taking taylor expansion of PI in k 1.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.768 * [taylor]: Taking taylor expansion of 0.5 in k 1.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.768 * [taylor]: Taking taylor expansion of 1.0 in k 1.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.768 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.769 * [taylor]: Taking taylor expansion of 2.0 in k 1.769 * [taylor]: Taking taylor expansion of PI in k 1.774 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.774 * [taylor]: Taking taylor expansion of 0.5 in k 1.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.774 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.774 * [taylor]: Taking taylor expansion of k in k 1.774 * [taylor]: Taking taylor expansion of 1.0 in k 1.775 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.775 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.775 * [taylor]: Taking taylor expansion of 2.0 in k 1.775 * [taylor]: Taking taylor expansion of PI in k 1.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.778 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.778 * [taylor]: Taking taylor expansion of 0.5 in k 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.778 * [taylor]: Taking taylor expansion of k in k 1.778 * [taylor]: Taking taylor expansion of 1.0 in k 1.778 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.778 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.778 * [taylor]: Taking taylor expansion of 2.0 in k 1.778 * [taylor]: Taking taylor expansion of PI in k 1.783 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.783 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.783 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.783 * [taylor]: Taking taylor expansion of 1.0 in k 1.783 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.783 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.785 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.785 * [taylor]: Taking taylor expansion of 2.0 in k 1.785 * [taylor]: Taking taylor expansion of PI in k 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.789 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.789 * [taylor]: Taking taylor expansion of k in k 1.790 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.790 * [taylor]: Taking taylor expansion of 0.5 in k 1.790 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of k in k 1.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.790 * [taylor]: Taking taylor expansion of 2.0 in k 1.790 * [taylor]: Taking taylor expansion of PI in k 1.998 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.999 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.999 * [taylor]: Taking taylor expansion of 1.0 in k 1.999 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.999 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.999 * [taylor]: Taking taylor expansion of k in k 2.000 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.000 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.000 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.000 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.000 * [taylor]: Taking taylor expansion of 0.5 in k 2.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.000 * [taylor]: Taking taylor expansion of 1.0 in k 2.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.000 * [taylor]: Taking taylor expansion of k in k 2.000 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.000 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.000 * [taylor]: Taking taylor expansion of 2.0 in k 2.000 * [taylor]: Taking taylor expansion of PI in k 2.003 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.003 * [taylor]: Taking taylor expansion of 1.0 in k 2.004 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.004 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.004 * [taylor]: Taking taylor expansion of k in k 2.005 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.005 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.005 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.005 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.005 * [taylor]: Taking taylor expansion of 0.5 in k 2.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.005 * [taylor]: Taking taylor expansion of 1.0 in k 2.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.005 * [taylor]: Taking taylor expansion of k in k 2.005 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.005 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.005 * [taylor]: Taking taylor expansion of 2.0 in k 2.005 * [taylor]: Taking taylor expansion of PI in k 2.032 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 2.032 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.032 * [taylor]: Taking taylor expansion of 1.0 in k 2.032 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.032 * [taylor]: Taking taylor expansion of 0.5 in k 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.032 * [taylor]: Taking taylor expansion of k in k 2.032 * [taylor]: Taking taylor expansion of 1.0 in k 2.032 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.033 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.033 * [taylor]: Taking taylor expansion of 2.0 in k 2.033 * [taylor]: Taking taylor expansion of PI in k 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.036 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.036 * [taylor]: Taking taylor expansion of -1 in k 2.036 * [taylor]: Taking taylor expansion of k in k 2.038 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.038 * [taylor]: Taking taylor expansion of 1.0 in k 2.038 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.038 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.038 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.038 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.038 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.038 * [taylor]: Taking taylor expansion of 0.5 in k 2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.038 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.038 * [taylor]: Taking taylor expansion of k in k 2.038 * [taylor]: Taking taylor expansion of 1.0 in k 2.038 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.038 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.038 * [taylor]: Taking taylor expansion of 2.0 in k 2.038 * [taylor]: Taking taylor expansion of PI in k 2.041 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.041 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.041 * [taylor]: Taking taylor expansion of -1 in k 2.041 * [taylor]: Taking taylor expansion of k in k 2.165 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.165 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.165 * [taylor]: Taking taylor expansion of 1.0 in k 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.165 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.165 * [taylor]: Taking taylor expansion of k in k 2.167 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.167 * [taylor]: Taking taylor expansion of 1.0 in k 2.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.167 * [taylor]: Taking taylor expansion of k in k 2.184 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.184 * [taylor]: Taking taylor expansion of 1.0 in k 2.184 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.184 * [taylor]: Taking taylor expansion of k in k 2.185 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.185 * [taylor]: Taking taylor expansion of 1.0 in k 2.185 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.185 * [taylor]: Taking taylor expansion of k in k 2.201 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.201 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.201 * [taylor]: Taking taylor expansion of 1.0 in k 2.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.201 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.201 * [taylor]: Taking taylor expansion of -1 in k 2.201 * [taylor]: Taking taylor expansion of k in k 2.203 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.203 * [taylor]: Taking taylor expansion of 1.0 in k 2.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.203 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.203 * [taylor]: Taking taylor expansion of -1 in k 2.203 * [taylor]: Taking taylor expansion of k in k 2.350 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.350 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.350 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 2.351 * [taylor]: Taking taylor expansion of 1.0 in n 2.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.351 * [taylor]: Taking taylor expansion of k in n 2.351 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.351 * [taylor]: Taking taylor expansion of 0.5 in n 2.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.351 * [taylor]: Taking taylor expansion of 1.0 in n 2.351 * [taylor]: Taking taylor expansion of k in n 2.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.351 * [taylor]: Taking taylor expansion of 2.0 in n 2.351 * [taylor]: Taking taylor expansion of PI in n 2.353 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.353 * [taylor]: Taking taylor expansion of 0.5 in n 2.353 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.353 * [taylor]: Taking taylor expansion of 1.0 in n 2.353 * [taylor]: Taking taylor expansion of k in n 2.353 * [taylor]: Taking taylor expansion of (log n) in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.354 * [taylor]: Taking taylor expansion of 1.0 in k 2.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.354 * [taylor]: Taking taylor expansion of k in k 2.356 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.356 * [taylor]: Taking taylor expansion of 0.5 in k 2.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.356 * [taylor]: Taking taylor expansion of 1.0 in k 2.356 * [taylor]: Taking taylor expansion of k in k 2.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.356 * [taylor]: Taking taylor expansion of 2.0 in k 2.356 * [taylor]: Taking taylor expansion of PI in k 2.360 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.360 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.360 * [taylor]: Taking taylor expansion of 0.5 in k 2.360 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.360 * [taylor]: Taking taylor expansion of 1.0 in k 2.360 * [taylor]: Taking taylor expansion of k in k 2.360 * [taylor]: Taking taylor expansion of (log n) in k 2.360 * [taylor]: Taking taylor expansion of n in k 2.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.361 * [taylor]: Taking taylor expansion of 1.0 in k 2.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.361 * [taylor]: Taking taylor expansion of k in k 2.362 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.362 * [taylor]: Taking taylor expansion of 0.5 in k 2.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.362 * [taylor]: Taking taylor expansion of 1.0 in k 2.362 * [taylor]: Taking taylor expansion of k in k 2.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.362 * [taylor]: Taking taylor expansion of 2.0 in k 2.362 * [taylor]: Taking taylor expansion of PI in k 2.372 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.372 * [taylor]: Taking taylor expansion of 0.5 in k 2.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.372 * [taylor]: Taking taylor expansion of 1.0 in k 2.372 * [taylor]: Taking taylor expansion of k in k 2.372 * [taylor]: Taking taylor expansion of (log n) in k 2.372 * [taylor]: Taking taylor expansion of n in k 2.375 * [taylor]: Taking taylor expansion of 0 in n 2.397 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.397 * [taylor]: Taking taylor expansion of 1.0 in n 2.397 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.397 * [taylor]: Taking taylor expansion of NAN in n 2.397 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.397 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.397 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log PI) in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.399 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.399 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (log n) in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.400 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.400 * [taylor]: Taking taylor expansion of 2.0 in n 2.447 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))))) in n 2.447 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 2.447 * [taylor]: Taking taylor expansion of 1.0 in n 2.447 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 2.448 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.448 * [taylor]: Taking taylor expansion of 0.5 in n 2.448 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.448 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.448 * [taylor]: Taking taylor expansion of 1.0 in n 2.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.448 * [taylor]: Taking taylor expansion of 2.0 in n 2.455 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.455 * [taylor]: Taking taylor expansion of 1.0 in n 2.455 * [taylor]: Taking taylor expansion of (log n) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log PI) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.461 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.461 * [taylor]: Taking taylor expansion of NAN in n 2.461 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))))) in n 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.461 * [taylor]: Taking taylor expansion of 0.5 in n 2.461 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.461 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) NAN) in n 2.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.461 * [taylor]: Taking taylor expansion of 2.0 in n 2.461 * [taylor]: Taking taylor expansion of PI in n 2.462 * [taylor]: Taking taylor expansion of NAN in n 2.462 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.462 * [taylor]: Taking taylor expansion of 0.5 in n 2.462 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.462 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.462 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.463 * [taylor]: Taking taylor expansion of 2.0 in n 2.464 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.464 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.464 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.464 * [taylor]: Taking taylor expansion of 1.0 in n 2.464 * [taylor]: Taking taylor expansion of (log n) in n 2.464 * [taylor]: Taking taylor expansion of n in n 2.465 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.465 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.465 * [taylor]: Taking taylor expansion of 1.0 in n 2.465 * [taylor]: Taking taylor expansion of (log PI) in n 2.465 * [taylor]: Taking taylor expansion of PI in n 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))) in n 2.470 * [taylor]: Taking taylor expansion of 0.5 in n 2.470 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))) in n 2.470 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.470 * [taylor]: Taking taylor expansion of 0.5 in n 2.470 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.470 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (log PI) in n 2.470 * [taylor]: Taking taylor expansion of PI in n 2.472 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.472 * [taylor]: Taking taylor expansion of 1.0 in n 2.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.472 * [taylor]: Taking taylor expansion of 2.0 in n 2.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.474 * [taylor]: Taking taylor expansion of 1.0 in n 2.474 * [taylor]: Taking taylor expansion of (log n) in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.478 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 2.478 * [taylor]: Taking taylor expansion of NAN in n 2.478 * [taylor]: Taking taylor expansion of (log n) in n 2.478 * [taylor]: Taking taylor expansion of n in n 2.588 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.588 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) in n 2.588 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) in n 2.588 * [taylor]: Taking taylor expansion of 0.125 in n 2.588 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN)) in n 2.588 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.588 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.588 * [taylor]: Taking taylor expansion of 0.5 in n 2.588 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [taylor]: Taking taylor expansion of (log PI) in n 2.588 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.590 * [taylor]: Taking taylor expansion of (log n) in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.591 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.591 * [taylor]: Taking taylor expansion of 1.0 in n 2.591 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.591 * [taylor]: Taking taylor expansion of 2.0 in n 2.596 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) NAN) in n 2.596 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.596 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.596 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.596 * [taylor]: Taking taylor expansion of 2.0 in n 2.596 * [taylor]: Taking taylor expansion of PI in n 2.597 * [taylor]: Taking taylor expansion of NAN in n 2.597 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))))) in n 2.597 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.597 * [taylor]: Taking taylor expansion of 0.125 in n 2.597 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.597 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) in n 2.597 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.597 * [taylor]: Taking taylor expansion of (log n) in n 2.597 * [taylor]: Taking taylor expansion of n in n 2.597 * [taylor]: Taking taylor expansion of NAN in n 2.597 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.597 * [taylor]: Taking taylor expansion of 0.5 in n 2.597 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.597 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.598 * [taylor]: Taking taylor expansion of 2.0 in n 2.599 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.599 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.599 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.599 * [taylor]: Taking taylor expansion of 1.0 in n 2.599 * [taylor]: Taking taylor expansion of (log n) in n 2.599 * [taylor]: Taking taylor expansion of n in n 2.600 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.600 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.600 * [taylor]: Taking taylor expansion of 1.0 in n 2.600 * [taylor]: Taking taylor expansion of (log PI) in n 2.600 * [taylor]: Taking taylor expansion of PI in n 2.605 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 2.605 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.605 * [taylor]: Taking taylor expansion of 0.25 in n 2.605 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.605 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) NAN)) in n 2.605 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.605 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.605 * [taylor]: Taking taylor expansion of 2.0 in n 2.605 * [taylor]: Taking taylor expansion of PI in n 2.606 * [taylor]: Taking taylor expansion of (* (log n) NAN) in n 2.606 * [taylor]: Taking taylor expansion of (log n) in n 2.606 * [taylor]: Taking taylor expansion of n in n 2.607 * [taylor]: Taking taylor expansion of NAN in n 2.607 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.607 * [taylor]: Taking taylor expansion of 0.5 in n 2.607 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.607 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.607 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.607 * [taylor]: Taking taylor expansion of 1.0 in n 2.607 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.607 * [taylor]: Taking taylor expansion of 2.0 in n 2.609 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.609 * [taylor]: Taking taylor expansion of 1.0 in n 2.609 * [taylor]: Taking taylor expansion of (log n) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.609 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.609 * [taylor]: Taking taylor expansion of 1.0 in n 2.609 * [taylor]: Taking taylor expansion of (log PI) in n 2.609 * [taylor]: Taking taylor expansion of PI in n 2.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 2.615 * [taylor]: Taking taylor expansion of 1.0 in n 2.615 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 2.615 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.615 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.615 * [taylor]: Taking taylor expansion of 0.5 in n 2.615 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.615 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.615 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.615 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.615 * [taylor]: Taking taylor expansion of 1.0 in n 2.615 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.615 * [taylor]: Taking taylor expansion of 2.0 in n 2.617 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.617 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.617 * [taylor]: Taking taylor expansion of 1.0 in n 2.617 * [taylor]: Taking taylor expansion of (log n) in n 2.617 * [taylor]: Taking taylor expansion of n in n 2.617 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.617 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.617 * [taylor]: Taking taylor expansion of 1.0 in n 2.617 * [taylor]: Taking taylor expansion of (log PI) in n 2.617 * [taylor]: Taking taylor expansion of PI in n 2.628 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.628 * [taylor]: Taking taylor expansion of NAN in n 2.628 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.628 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) in n 2.628 * [taylor]: Taking taylor expansion of 0.5 in n 2.628 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n))) in n 2.628 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.628 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.628 * [taylor]: Taking taylor expansion of 0.5 in n 2.628 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.628 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.628 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.628 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.628 * [taylor]: Taking taylor expansion of 1.0 in n 2.628 * [taylor]: Taking taylor expansion of (log PI) in n 2.628 * [taylor]: Taking taylor expansion of PI in n 2.630 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.630 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.630 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.630 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.630 * [taylor]: Taking taylor expansion of 1.0 in n 2.630 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.630 * [taylor]: Taking taylor expansion of 2.0 in n 2.632 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.632 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.632 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.632 * [taylor]: Taking taylor expansion of 1.0 in n 2.632 * [taylor]: Taking taylor expansion of (log n) in n 2.632 * [taylor]: Taking taylor expansion of n in n 2.636 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 2.636 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.636 * [taylor]: Taking taylor expansion of NAN in n 2.636 * [taylor]: Taking taylor expansion of (log n) in n 2.636 * [taylor]: Taking taylor expansion of n in n 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.636 * [taylor]: Taking taylor expansion of 0.5 in n 2.636 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.636 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow NAN 3)) in n 2.636 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.636 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.636 * [taylor]: Taking taylor expansion of 2.0 in n 2.636 * [taylor]: Taking taylor expansion of PI in n 2.637 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.637 * [taylor]: Taking taylor expansion of NAN in n 2.637 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.637 * [taylor]: Taking taylor expansion of 0.5 in n 2.637 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.637 * [taylor]: Taking taylor expansion of 1.0 in n 2.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.637 * [taylor]: Taking taylor expansion of 2.0 in n 2.639 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.639 * [taylor]: Taking taylor expansion of 1.0 in n 2.639 * [taylor]: Taking taylor expansion of (log n) in n 2.639 * [taylor]: Taking taylor expansion of n in n 2.640 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.640 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.640 * [taylor]: Taking taylor expansion of 1.0 in n 2.640 * [taylor]: Taking taylor expansion of (log PI) in n 2.640 * [taylor]: Taking taylor expansion of PI in n 2.733 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 2.733 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 2.733 * [taylor]: Taking taylor expansion of 1.0 in n 2.733 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.733 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.733 * [taylor]: Taking taylor expansion of k in n 2.733 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.733 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.734 * [taylor]: Taking taylor expansion of 0.5 in n 2.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.734 * [taylor]: Taking taylor expansion of 1.0 in n 2.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.734 * [taylor]: Taking taylor expansion of k in n 2.734 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.734 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.734 * [taylor]: Taking taylor expansion of n in n 2.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.735 * [taylor]: Taking taylor expansion of 0.5 in n 2.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.735 * [taylor]: Taking taylor expansion of 1.0 in n 2.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.735 * [taylor]: Taking taylor expansion of k in n 2.735 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.735 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.735 * [taylor]: Taking taylor expansion of 2.0 in n 2.735 * [taylor]: Taking taylor expansion of PI in n 2.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.737 * [taylor]: Taking taylor expansion of 1.0 in k 2.737 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.737 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.737 * [taylor]: Taking taylor expansion of k in k 2.738 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.738 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.738 * [taylor]: Taking taylor expansion of 0.5 in k 2.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.738 * [taylor]: Taking taylor expansion of 1.0 in k 2.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.739 * [taylor]: Taking taylor expansion of k in k 2.739 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.739 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.739 * [taylor]: Taking taylor expansion of n in k 2.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.740 * [taylor]: Taking taylor expansion of 0.5 in k 2.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.740 * [taylor]: Taking taylor expansion of 1.0 in k 2.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.740 * [taylor]: Taking taylor expansion of k in k 2.740 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.740 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.740 * [taylor]: Taking taylor expansion of 2.0 in k 2.740 * [taylor]: Taking taylor expansion of PI in k 2.743 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 2.743 * [taylor]: Taking taylor expansion of 1.0 in k 2.744 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.744 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.744 * [taylor]: Taking taylor expansion of k in k 2.745 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.745 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.745 * [taylor]: Taking taylor expansion of 0.5 in k 2.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.745 * [taylor]: Taking taylor expansion of 1.0 in k 2.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.745 * [taylor]: Taking taylor expansion of k in k 2.745 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.745 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.745 * [taylor]: Taking taylor expansion of n in k 2.746 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.746 * [taylor]: Taking taylor expansion of 0.5 in k 2.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.746 * [taylor]: Taking taylor expansion of 1.0 in k 2.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.746 * [taylor]: Taking taylor expansion of k in k 2.746 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.746 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.746 * [taylor]: Taking taylor expansion of 2.0 in k 2.746 * [taylor]: Taking taylor expansion of PI in k 2.751 * [taylor]: Taking taylor expansion of 0 in n 2.754 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN))) in n 2.754 * [taylor]: Taking taylor expansion of 1.0 in n 2.754 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN)) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.754 * [taylor]: Taking taylor expansion of 0.5 in n 2.754 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.754 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.754 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.754 * [taylor]: Taking taylor expansion of n in n 2.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.755 * [taylor]: Taking taylor expansion of 1.0 in n 2.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.755 * [taylor]: Taking taylor expansion of k in n 2.756 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN) in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.756 * [taylor]: Taking taylor expansion of 0.5 in n 2.756 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.756 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.756 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.756 * [taylor]: Taking taylor expansion of 2.0 in n 2.756 * [taylor]: Taking taylor expansion of PI in n 2.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.757 * [taylor]: Taking taylor expansion of 1.0 in n 2.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.757 * [taylor]: Taking taylor expansion of k in n 2.759 * [taylor]: Taking taylor expansion of NAN in n 2.769 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)))) in n 2.769 * [taylor]: Taking taylor expansion of 1.0 in n 2.769 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3))) in n 2.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.769 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.769 * [taylor]: Taking taylor expansion of 0.5 in n 2.769 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.769 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.769 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.769 * [taylor]: Taking taylor expansion of n in n 2.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.770 * [taylor]: Taking taylor expansion of k in n 2.770 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.770 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.771 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.771 * [taylor]: Taking taylor expansion of 2.0 in n 2.771 * [taylor]: Taking taylor expansion of PI in n 2.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.771 * [taylor]: Taking taylor expansion of 1.0 in n 2.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.771 * [taylor]: Taking taylor expansion of k in n 2.774 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.774 * [taylor]: Taking taylor expansion of NAN in n 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)))) in n 2.804 * [taylor]: Taking taylor expansion of 1.0 in n 2.804 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5))) in n 2.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.804 * [taylor]: Taking taylor expansion of 0.5 in n 2.804 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.804 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.804 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.804 * [taylor]: Taking taylor expansion of n in n 2.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.805 * [taylor]: Taking taylor expansion of 1.0 in n 2.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.805 * [taylor]: Taking taylor expansion of k in n 2.805 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)) in n 2.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.805 * [taylor]: Taking taylor expansion of 0.5 in n 2.805 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.805 * [taylor]: Taking taylor expansion of 2.0 in n 2.805 * [taylor]: Taking taylor expansion of PI in n 2.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.806 * [taylor]: Taking taylor expansion of 1.0 in n 2.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.806 * [taylor]: Taking taylor expansion of k in n 2.809 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.809 * [taylor]: Taking taylor expansion of NAN in n 2.819 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 2.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 2.819 * [taylor]: Taking taylor expansion of 1.0 in n 2.819 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.819 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.819 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.819 * [taylor]: Taking taylor expansion of 0.5 in n 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.819 * [taylor]: Taking taylor expansion of k in n 2.819 * [taylor]: Taking taylor expansion of 1.0 in n 2.819 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.819 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.819 * [taylor]: Taking taylor expansion of -1 in n 2.819 * [taylor]: Taking taylor expansion of n in n 2.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.821 * [taylor]: Taking taylor expansion of 0.5 in n 2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.821 * [taylor]: Taking taylor expansion of k in n 2.821 * [taylor]: Taking taylor expansion of 1.0 in n 2.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.821 * [taylor]: Taking taylor expansion of 2.0 in n 2.821 * [taylor]: Taking taylor expansion of PI in n 2.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.824 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.824 * [taylor]: Taking taylor expansion of -1 in n 2.824 * [taylor]: Taking taylor expansion of k in n 2.826 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.826 * [taylor]: Taking taylor expansion of 1.0 in k 2.826 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.826 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.826 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.826 * [taylor]: Taking taylor expansion of 0.5 in k 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.826 * [taylor]: Taking taylor expansion of k in k 2.826 * [taylor]: Taking taylor expansion of 1.0 in k 2.826 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.827 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.827 * [taylor]: Taking taylor expansion of -1 in k 2.827 * [taylor]: Taking taylor expansion of n in k 2.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.827 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.827 * [taylor]: Taking taylor expansion of 0.5 in k 2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.827 * [taylor]: Taking taylor expansion of k in k 2.828 * [taylor]: Taking taylor expansion of 1.0 in k 2.828 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.828 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.828 * [taylor]: Taking taylor expansion of 2.0 in k 2.828 * [taylor]: Taking taylor expansion of PI in k 2.831 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.831 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.831 * [taylor]: Taking taylor expansion of -1 in k 2.831 * [taylor]: Taking taylor expansion of k in k 2.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 2.834 * [taylor]: Taking taylor expansion of 1.0 in k 2.834 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.834 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.834 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.834 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.834 * [taylor]: Taking taylor expansion of 0.5 in k 2.834 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.834 * [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 2.835 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.835 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.835 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.835 * [taylor]: Taking taylor expansion of 0.5 in k 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.835 * [taylor]: Taking taylor expansion of k in k 2.835 * [taylor]: Taking taylor expansion of 1.0 in k 2.835 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.835 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.835 * [taylor]: Taking taylor expansion of 2.0 in k 2.835 * [taylor]: Taking taylor expansion of PI in k 2.838 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.838 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.838 * [taylor]: Taking taylor expansion of -1 in k 2.838 * [taylor]: Taking taylor expansion of k in k 2.842 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN)) in n 2.842 * [taylor]: Taking taylor expansion of 1.0 in n 2.842 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN) in n 2.842 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.842 * [taylor]: Taking taylor expansion of 0.5 in n 2.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.842 * [taylor]: Taking taylor expansion of k in n 2.842 * [taylor]: Taking taylor expansion of 1.0 in n 2.842 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.842 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.842 * [taylor]: Taking taylor expansion of -1 in n 2.842 * [taylor]: Taking taylor expansion of n in n 2.844 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.844 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.844 * [taylor]: Taking taylor expansion of 0.5 in n 2.844 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.844 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.844 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.844 * [taylor]: Taking taylor expansion of 2.0 in n 2.844 * [taylor]: Taking taylor expansion of PI in n 2.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.845 * [taylor]: Taking taylor expansion of k in n 2.845 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [taylor]: Taking taylor expansion of NAN in n 2.858 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) in n 2.859 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 2.859 * [taylor]: Taking taylor expansion of 1.0 in n 2.859 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 2.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.859 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.859 * [taylor]: Taking taylor expansion of 0.5 in n 2.859 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.859 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.859 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.859 * [taylor]: Taking taylor expansion of 2.0 in n 2.859 * [taylor]: Taking taylor expansion of PI in n 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.860 * [taylor]: Taking taylor expansion of k in n 2.860 * [taylor]: Taking taylor expansion of 1.0 in n 2.862 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 2.862 * [taylor]: Taking taylor expansion of NAN in n 2.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.862 * [taylor]: Taking taylor expansion of 0.5 in n 2.862 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.862 * [taylor]: Taking taylor expansion of k in n 2.862 * [taylor]: Taking taylor expansion of 1.0 in n 2.862 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.862 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.862 * [taylor]: Taking taylor expansion of -1 in n 2.862 * [taylor]: Taking taylor expansion of n in n 2.896 * [taylor]: Taking taylor expansion of 0 in n 2.936 * [taylor]: Taking taylor expansion of 0 in n 2.939 * * * [progress]: simplifying candidates 2.942 * [simplify]: Simplifying using # : (* (+ (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)) (+ (- (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))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 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 (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 1) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 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 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 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))))) (- (+ (* 0.125 (* (* (pow (log (* 2.0 PI)) 2) (* NAN (pow k 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (+ (* 1.0 (* NAN (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 1.0 (* (* (pow NAN 5) (pow k 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))) (+ (* 0.5 (* (* (log (* 2.0 PI)) (* (pow NAN 3) (pow k 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (+ (* 1.0 (/ (* (pow NAN 3) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (+ (* 1.0 (/ (* (pow NAN 5) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3))) (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)))) (+ (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)) (* 1.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) NAN))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log n) 2) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow PI 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(exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) 2.953 * * [simplify]: iteration 0 : 1119 enodes (cost 2024 ) 2.973 * * [simplify]: iteration 1 : 5001 enodes (cost 1849 ) 2.983 * [simplify]: Simplified to: (* (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 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(pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 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))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 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 n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 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 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 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))))) (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (- (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* 1.0 (+ (* (pow NAN 5) (pow k 2)) NAN))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.5 (* k (* (log (* 2.0 PI)) NAN))))))) (* 1.0 (+ (/ (* (pow NAN 3) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2)) (+ (/ (* (pow NAN 5) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3)) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)))) (* 1.0 (+ (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) NAN))) (* 1.0 (+ (* (pow NAN 5) (pow k 2)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log n) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 1.0 (+ (/ (pow NAN 5) (/ (pow k 3) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (+ (/ (* (pow NAN 3) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2)) (/ (* NAN (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k)))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) k) (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) 2.989 * * * [progress]: adding candidates to table 3.598 * * [progress]: iteration 3 / 4 3.598 * * * [progress]: picking best candidate 3.643 * * * * [pick]: Picked # 3.643 * * * [progress]: localizing error 3.660 * * * [progress]: generating rewritten candidates 3.660 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.668 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.676 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.687 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.702 * * * [progress]: generating series expansions 3.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.703 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.703 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.703 * [taylor]: Taking taylor expansion of 0.5 in k 3.703 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.703 * [taylor]: Taking taylor expansion of 1.0 in k 3.703 * [taylor]: Taking taylor expansion of k in k 3.703 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.703 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.703 * [taylor]: Taking taylor expansion of 2.0 in k 3.703 * [taylor]: Taking taylor expansion of PI in k 3.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.707 * [taylor]: Taking taylor expansion of 0.5 in k 3.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.707 * [taylor]: Taking taylor expansion of 1.0 in k 3.707 * [taylor]: Taking taylor expansion of k in k 3.707 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.707 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.707 * [taylor]: Taking taylor expansion of 2.0 in k 3.707 * [taylor]: Taking taylor expansion of PI in k 3.754 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.754 * [taylor]: Taking taylor expansion of 0.5 in k 3.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.754 * [taylor]: Taking taylor expansion of 1.0 in k 3.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.754 * [taylor]: Taking taylor expansion of k in k 3.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.754 * [taylor]: Taking taylor expansion of 2.0 in k 3.754 * [taylor]: Taking taylor expansion of PI in k 3.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.758 * [taylor]: Taking taylor expansion of 0.5 in k 3.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.758 * [taylor]: Taking taylor expansion of 1.0 in k 3.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.758 * [taylor]: Taking taylor expansion of k in k 3.758 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.758 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.758 * [taylor]: Taking taylor expansion of 2.0 in k 3.758 * [taylor]: Taking taylor expansion of PI in k 3.763 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.763 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.763 * [taylor]: Taking taylor expansion of 0.5 in k 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.763 * [taylor]: Taking taylor expansion of k in k 3.763 * [taylor]: Taking taylor expansion of 1.0 in k 3.763 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.763 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.763 * [taylor]: Taking taylor expansion of 2.0 in k 3.764 * [taylor]: Taking taylor expansion of PI in k 3.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.767 * [taylor]: Taking taylor expansion of 0.5 in k 3.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.767 * [taylor]: Taking taylor expansion of k in k 3.767 * [taylor]: Taking taylor expansion of 1.0 in k 3.767 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.767 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.767 * [taylor]: Taking taylor expansion of 2.0 in k 3.767 * [taylor]: Taking taylor expansion of PI in k 3.771 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.772 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 3.772 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 3.772 * [taylor]: Taking taylor expansion of 1.0 in n 3.772 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 3.772 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 3.772 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 3.772 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 3.772 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.772 * [taylor]: Taking taylor expansion of 0.5 in n 3.772 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.772 * [taylor]: Taking taylor expansion of 1.0 in n 3.772 * [taylor]: Taking taylor expansion of k in n 3.772 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.772 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.772 * [taylor]: Taking taylor expansion of 2.0 in n 3.772 * [taylor]: Taking taylor expansion of PI in n 3.775 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.775 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.775 * [taylor]: Taking taylor expansion of 0.5 in n 3.775 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.775 * [taylor]: Taking taylor expansion of 1.0 in n 3.775 * [taylor]: Taking taylor expansion of k in n 3.775 * [taylor]: Taking taylor expansion of (log n) in n 3.775 * [taylor]: Taking taylor expansion of n in n 3.775 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.775 * [taylor]: Taking taylor expansion of 1.0 in k 3.775 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.775 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.775 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.776 * [taylor]: Taking taylor expansion of 0.5 in k 3.776 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.776 * [taylor]: Taking taylor expansion of 1.0 in k 3.776 * [taylor]: Taking taylor expansion of k in k 3.776 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.776 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.776 * [taylor]: Taking taylor expansion of 2.0 in k 3.776 * [taylor]: Taking taylor expansion of PI in k 3.786 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.786 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.786 * [taylor]: Taking taylor expansion of 0.5 in k 3.786 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.786 * [taylor]: Taking taylor expansion of 1.0 in k 3.786 * [taylor]: Taking taylor expansion of k in k 3.786 * [taylor]: Taking taylor expansion of (log n) in k 3.786 * [taylor]: Taking taylor expansion of n in k 3.787 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.787 * [taylor]: Taking taylor expansion of 1.0 in k 3.787 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.787 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.787 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.787 * [taylor]: Taking taylor expansion of 0.5 in k 3.787 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.787 * [taylor]: Taking taylor expansion of 1.0 in k 3.787 * [taylor]: Taking taylor expansion of k in k 3.787 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.787 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.787 * [taylor]: Taking taylor expansion of 2.0 in k 3.787 * [taylor]: Taking taylor expansion of PI in k 3.791 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.791 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.791 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.791 * [taylor]: Taking taylor expansion of 0.5 in k 3.791 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.791 * [taylor]: Taking taylor expansion of 1.0 in k 3.791 * [taylor]: Taking taylor expansion of k in k 3.791 * [taylor]: Taking taylor expansion of (log n) in k 3.791 * [taylor]: Taking taylor expansion of n in k 3.794 * [taylor]: Taking taylor expansion of (* 1.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.794 * [taylor]: Taking taylor expansion of 1.0 in n 3.794 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.794 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.794 * [taylor]: Taking taylor expansion of 0.5 in n 3.794 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.794 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.794 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.794 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.794 * [taylor]: Taking taylor expansion of 1.0 in n 3.794 * [taylor]: Taking taylor expansion of (log PI) in n 3.794 * [taylor]: Taking taylor expansion of PI in n 3.796 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.796 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.796 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.796 * [taylor]: Taking taylor expansion of 1.0 in n 3.796 * [taylor]: Taking taylor expansion of (log n) in n 3.796 * [taylor]: Taking taylor expansion of n in n 3.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.797 * [taylor]: Taking taylor expansion of 1.0 in n 3.797 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.797 * [taylor]: Taking taylor expansion of 2.0 in n 3.825 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))) in n 3.825 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 3.825 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.825 * [taylor]: Taking taylor expansion of 0.5 in n 3.825 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.825 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.825 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.825 * [taylor]: Taking taylor expansion of 2.0 in n 3.825 * [taylor]: Taking taylor expansion of PI in n 3.826 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.826 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.826 * [taylor]: Taking taylor expansion of 0.5 in n 3.826 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.826 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.826 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.826 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.826 * [taylor]: Taking taylor expansion of 1.0 in n 3.826 * [taylor]: Taking taylor expansion of (log PI) in n 3.826 * [taylor]: Taking taylor expansion of PI in n 3.828 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.828 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.828 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.828 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.828 * [taylor]: Taking taylor expansion of 1.0 in n 3.828 * [taylor]: Taking taylor expansion of (log n) in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.829 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.829 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.829 * [taylor]: Taking taylor expansion of 1.0 in n 3.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.829 * [taylor]: Taking taylor expansion of 2.0 in n 3.834 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 3.834 * [taylor]: Taking taylor expansion of 0.5 in n 3.834 * [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 3.834 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.834 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.834 * [taylor]: Taking taylor expansion of 0.5 in n 3.834 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.834 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.834 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.834 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.834 * [taylor]: Taking taylor expansion of 1.0 in n 3.834 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.834 * [taylor]: Taking taylor expansion of 2.0 in n 3.836 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.836 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.836 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.836 * [taylor]: Taking taylor expansion of 1.0 in n 3.836 * [taylor]: Taking taylor expansion of (log PI) in n 3.836 * [taylor]: Taking taylor expansion of PI in n 3.838 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.838 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.838 * [taylor]: Taking taylor expansion of 1.0 in n 3.838 * [taylor]: Taking taylor expansion of (log n) in n 3.838 * [taylor]: Taking taylor expansion of n in n 3.842 * [taylor]: Taking taylor expansion of (log n) in n 3.842 * [taylor]: Taking taylor expansion of n in n 3.903 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 3.903 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 3.903 * [taylor]: Taking taylor expansion of 0.25 in n 3.903 * [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 3.903 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 3.903 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.903 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.903 * [taylor]: Taking taylor expansion of 2.0 in n 3.903 * [taylor]: Taking taylor expansion of PI in n 3.904 * [taylor]: Taking taylor expansion of (log n) in n 3.904 * [taylor]: Taking taylor expansion of n in n 3.904 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 3.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 3.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 3.904 * [taylor]: Taking taylor expansion of 0.5 in n 3.904 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 3.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 3.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.904 * [taylor]: Taking taylor expansion of 1.0 in n 3.904 * [taylor]: Taking taylor expansion of (log PI) in n 3.904 * [taylor]: Taking taylor expansion of PI in n 3.906 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 3.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.906 * [taylor]: Taking taylor expansion of 1.0 in n 3.906 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.906 * [taylor]: Taking taylor expansion of 2.0 in n 3.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.908 * [taylor]: Taking taylor expansion of 1.0 in n 3.908 * [taylor]: Taking taylor expansion of (log n) in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.912 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 3.912 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.912 * [taylor]: Taking taylor expansion of 0.125 in n 3.912 * [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 3.912 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 3.912 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.912 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.912 * [taylor]: Taking taylor expansion of 2.0 in n 3.912 * [taylor]: Taking taylor expansion of PI in n 3.913 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.913 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.913 * [taylor]: Taking taylor expansion of 0.5 in n 3.913 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.913 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.913 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.913 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.913 * [taylor]: Taking taylor expansion of 1.0 in n 3.913 * [taylor]: Taking taylor expansion of (log PI) in n 3.913 * [taylor]: Taking taylor expansion of PI in n 3.915 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.915 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.915 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [taylor]: Taking taylor expansion of (log n) in n 3.915 * [taylor]: Taking taylor expansion of n in n 3.916 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.916 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.916 * [taylor]: Taking taylor expansion of 1.0 in n 3.916 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.916 * [taylor]: Taking taylor expansion of 2.0 in n 3.921 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 3.921 * [taylor]: Taking taylor expansion of 0.125 in n 3.921 * [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 3.921 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.921 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.921 * [taylor]: Taking taylor expansion of 0.5 in n 3.921 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.921 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.921 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.921 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.921 * [taylor]: Taking taylor expansion of 1.0 in n 3.921 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.921 * [taylor]: Taking taylor expansion of 2.0 in n 3.923 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.923 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.923 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.923 * [taylor]: Taking taylor expansion of 1.0 in n 3.923 * [taylor]: Taking taylor expansion of (log PI) in n 3.923 * [taylor]: Taking taylor expansion of PI in n 3.925 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.925 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.925 * [taylor]: Taking taylor expansion of 1.0 in n 3.925 * [taylor]: Taking taylor expansion of (log n) in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.929 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 3.929 * [taylor]: Taking taylor expansion of (log n) in n 3.929 * [taylor]: Taking taylor expansion of n in n 3.966 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.966 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.966 * [taylor]: Taking taylor expansion of 1.0 in n 3.966 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.966 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.966 * [taylor]: Taking taylor expansion of 0.5 in n 3.966 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.966 * [taylor]: Taking taylor expansion of 1.0 in n 3.966 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.966 * [taylor]: Taking taylor expansion of k in n 3.966 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.966 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.966 * [taylor]: Taking taylor expansion of n in n 3.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 3.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.967 * [taylor]: Taking taylor expansion of 0.5 in n 3.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.968 * [taylor]: Taking taylor expansion of 1.0 in n 3.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.968 * [taylor]: Taking taylor expansion of k in n 3.968 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.968 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.968 * [taylor]: Taking taylor expansion of 2.0 in n 3.968 * [taylor]: Taking taylor expansion of PI in n 3.970 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.970 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.970 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.970 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.970 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.970 * [taylor]: Taking taylor expansion of 0.5 in k 3.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.970 * [taylor]: Taking taylor expansion of k in k 3.970 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.970 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.970 * [taylor]: Taking taylor expansion of n in k 3.971 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.971 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.971 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.971 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.971 * [taylor]: Taking taylor expansion of 0.5 in k 3.971 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.971 * [taylor]: Taking taylor expansion of 1.0 in k 3.971 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.971 * [taylor]: Taking taylor expansion of k in k 3.972 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.972 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.972 * [taylor]: Taking taylor expansion of 2.0 in k 3.972 * [taylor]: Taking taylor expansion of PI in k 3.975 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.975 * [taylor]: Taking taylor expansion of 1.0 in k 3.975 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.975 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.975 * [taylor]: Taking taylor expansion of 0.5 in k 3.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.975 * [taylor]: Taking taylor expansion of 1.0 in k 3.975 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.975 * [taylor]: Taking taylor expansion of k in k 3.975 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.975 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.976 * [taylor]: Taking taylor expansion of n in k 3.976 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.976 * [taylor]: Taking taylor expansion of 0.5 in k 3.977 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 3.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.977 * [taylor]: Taking taylor expansion of k in k 3.977 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.977 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.977 * [taylor]: Taking taylor expansion of 2.0 in k 3.977 * [taylor]: Taking taylor expansion of PI in k 3.982 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.982 * [taylor]: Taking taylor expansion of 1.0 in n 3.982 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.982 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.982 * [taylor]: Taking taylor expansion of 0.5 in n 3.982 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.982 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.982 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.982 * [taylor]: Taking taylor expansion of n in n 3.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.982 * [taylor]: Taking taylor expansion of 1.0 in n 3.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.982 * [taylor]: Taking taylor expansion of k in n 3.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.983 * [taylor]: Taking taylor expansion of 0.5 in n 3.983 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.983 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.983 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.983 * [taylor]: Taking taylor expansion of 2.0 in n 3.983 * [taylor]: Taking taylor expansion of PI in n 3.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.984 * [taylor]: Taking taylor expansion of 1.0 in n 3.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.984 * [taylor]: Taking taylor expansion of k in n 3.990 * [taylor]: Taking taylor expansion of 0 in n 4.002 * [taylor]: Taking taylor expansion of 0 in n 4.016 * [taylor]: Taking taylor expansion of 0 in n 4.018 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.018 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.018 * [taylor]: Taking taylor expansion of 1.0 in n 4.018 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.018 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.018 * [taylor]: Taking taylor expansion of 0.5 in n 4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.018 * [taylor]: Taking taylor expansion of k in n 4.018 * [taylor]: Taking taylor expansion of 1.0 in n 4.018 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.018 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.018 * [taylor]: Taking taylor expansion of -1 in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.020 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.020 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.020 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.020 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.020 * [taylor]: Taking taylor expansion of 0.5 in n 4.020 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.020 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.020 * [taylor]: Taking taylor expansion of k in n 4.020 * [taylor]: Taking taylor expansion of 1.0 in n 4.020 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.020 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.020 * [taylor]: Taking taylor expansion of 2.0 in n 4.020 * [taylor]: Taking taylor expansion of PI in n 4.023 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.023 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.023 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.023 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.023 * [taylor]: Taking taylor expansion of 0.5 in k 4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.023 * [taylor]: Taking taylor expansion of k in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.023 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.023 * [taylor]: Taking taylor expansion of -1 in k 4.023 * [taylor]: Taking taylor expansion of n in k 4.024 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.024 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.024 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.024 * [taylor]: Taking taylor expansion of 0.5 in k 4.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.024 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.024 * [taylor]: Taking taylor expansion of k in k 4.024 * [taylor]: Taking taylor expansion of 1.0 in k 4.024 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.024 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.024 * [taylor]: Taking taylor expansion of 2.0 in k 4.024 * [taylor]: Taking taylor expansion of PI in k 4.028 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.028 * [taylor]: Taking taylor expansion of 1.0 in k 4.028 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.028 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.028 * [taylor]: Taking taylor expansion of 0.5 in k 4.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.028 * [taylor]: Taking taylor expansion of k in k 4.028 * [taylor]: Taking taylor expansion of 1.0 in k 4.028 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.028 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.028 * [taylor]: Taking taylor expansion of -1 in k 4.028 * [taylor]: Taking taylor expansion of n in k 4.029 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.029 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.029 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.029 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.029 * [taylor]: Taking taylor expansion of 0.5 in k 4.029 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.029 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.029 * [taylor]: Taking taylor expansion of k in k 4.029 * [taylor]: Taking taylor expansion of 1.0 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 4.034 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.034 * [taylor]: Taking taylor expansion of 1.0 in n 4.034 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.034 * [taylor]: Taking taylor expansion of 0.5 in n 4.034 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.034 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.034 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.034 * [taylor]: Taking taylor expansion of k in n 4.034 * [taylor]: Taking taylor expansion of 1.0 in n 4.034 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.034 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.034 * [taylor]: Taking taylor expansion of -1 in n 4.034 * [taylor]: Taking taylor expansion of n in n 4.036 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.036 * [taylor]: Taking taylor expansion of 0.5 in n 4.036 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.036 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.036 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.036 * [taylor]: Taking taylor expansion of 2.0 in n 4.036 * [taylor]: Taking taylor expansion of PI in n 4.043 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.043 * [taylor]: Taking taylor expansion of k in n 4.043 * [taylor]: Taking taylor expansion of 1.0 in n 4.050 * [taylor]: Taking taylor expansion of 0 in n 4.062 * [taylor]: Taking taylor expansion of 0 in n 4.078 * [taylor]: Taking taylor expansion of 0 in n 4.079 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.080 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 4.080 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 4.080 * [taylor]: Taking taylor expansion of 1.0 in n 4.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.080 * [taylor]: Taking taylor expansion of k in n 4.080 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.080 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.080 * [taylor]: Taking taylor expansion of 0.5 in n 4.080 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.080 * [taylor]: Taking taylor expansion of 1.0 in n 4.080 * [taylor]: Taking taylor expansion of k in n 4.080 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.080 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.080 * [taylor]: Taking taylor expansion of 2.0 in n 4.080 * [taylor]: Taking taylor expansion of PI in n 4.083 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.083 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.083 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.083 * [taylor]: Taking taylor expansion of 0.5 in n 4.083 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.083 * [taylor]: Taking taylor expansion of 1.0 in n 4.083 * [taylor]: Taking taylor expansion of k in n 4.083 * [taylor]: Taking taylor expansion of (log n) in n 4.083 * [taylor]: Taking taylor expansion of n in n 4.083 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.083 * [taylor]: Taking taylor expansion of 1.0 in k 4.083 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.083 * [taylor]: Taking taylor expansion of k in k 4.085 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.085 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.085 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.085 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.085 * [taylor]: Taking taylor expansion of 0.5 in k 4.085 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.085 * [taylor]: Taking taylor expansion of 1.0 in k 4.085 * [taylor]: Taking taylor expansion of k in k 4.085 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.085 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.085 * [taylor]: Taking taylor expansion of 2.0 in k 4.085 * [taylor]: Taking taylor expansion of PI in k 4.089 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.089 * [taylor]: Taking taylor expansion of 0.5 in k 4.089 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.089 * [taylor]: Taking taylor expansion of 1.0 in k 4.089 * [taylor]: Taking taylor expansion of k in k 4.089 * [taylor]: Taking taylor expansion of (log n) in k 4.089 * [taylor]: Taking taylor expansion of n in k 4.090 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.090 * [taylor]: Taking taylor expansion of 1.0 in k 4.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.090 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.090 * [taylor]: Taking taylor expansion of k in k 4.091 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.091 * [taylor]: Taking taylor expansion of 0.5 in k 4.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.091 * [taylor]: Taking taylor expansion of 1.0 in k 4.091 * [taylor]: Taking taylor expansion of k in k 4.091 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.092 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.092 * [taylor]: Taking taylor expansion of 2.0 in k 4.092 * [taylor]: Taking taylor expansion of PI in k 4.096 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.096 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.096 * [taylor]: Taking taylor expansion of 0.5 in k 4.096 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.096 * [taylor]: Taking taylor expansion of 1.0 in k 4.096 * [taylor]: Taking taylor expansion of k in k 4.096 * [taylor]: Taking taylor expansion of (log n) in k 4.096 * [taylor]: Taking taylor expansion of n in k 4.098 * [taylor]: Taking taylor expansion of 0 in n 4.127 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.127 * [taylor]: Taking taylor expansion of 1.0 in n 4.127 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.127 * [taylor]: Taking taylor expansion of NAN in n 4.127 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.127 * [taylor]: Taking taylor expansion of 0.5 in n 4.127 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.127 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.127 * [taylor]: Taking taylor expansion of 1.0 in n 4.127 * [taylor]: Taking taylor expansion of (log PI) in n 4.127 * [taylor]: Taking taylor expansion of PI in n 4.129 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.129 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.129 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.129 * [taylor]: Taking taylor expansion of 1.0 in n 4.129 * [taylor]: Taking taylor expansion of (log n) in n 4.129 * [taylor]: Taking taylor expansion of n in n 4.130 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.130 * [taylor]: Taking taylor expansion of 1.0 in n 4.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.130 * [taylor]: Taking taylor expansion of 2.0 in n 4.177 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))))) in n 4.178 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 4.178 * [taylor]: Taking taylor expansion of 1.0 in n 4.178 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 4.178 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.178 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.178 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.178 * [taylor]: Taking taylor expansion of 0.5 in n 4.178 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.178 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.178 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.178 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.178 * [taylor]: Taking taylor expansion of 1.0 in n 4.178 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.178 * [taylor]: Taking taylor expansion of 2.0 in n 4.179 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.180 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.180 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.180 * [taylor]: Taking taylor expansion of 1.0 in n 4.180 * [taylor]: Taking taylor expansion of (log n) in n 4.180 * [taylor]: Taking taylor expansion of n in n 4.180 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.180 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.180 * [taylor]: Taking taylor expansion of 1.0 in n 4.180 * [taylor]: Taking taylor expansion of (log PI) in n 4.180 * [taylor]: Taking taylor expansion of PI in n 4.185 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.185 * [taylor]: Taking taylor expansion of NAN in n 4.185 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))))) in n 4.186 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.186 * [taylor]: Taking taylor expansion of 0.5 in n 4.186 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.186 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) NAN) in n 4.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.186 * [taylor]: Taking taylor expansion of 2.0 in n 4.186 * [taylor]: Taking taylor expansion of PI in n 4.187 * [taylor]: Taking taylor expansion of NAN in n 4.187 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.187 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.187 * [taylor]: Taking taylor expansion of 0.5 in n 4.187 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.187 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.187 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.187 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.187 * [taylor]: Taking taylor expansion of 1.0 in n 4.187 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.187 * [taylor]: Taking taylor expansion of 2.0 in n 4.188 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.188 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.189 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.189 * [taylor]: Taking taylor expansion of 1.0 in n 4.189 * [taylor]: Taking taylor expansion of (log n) in n 4.189 * [taylor]: Taking taylor expansion of n in n 4.189 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.189 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.189 * [taylor]: Taking taylor expansion of 1.0 in n 4.189 * [taylor]: Taking taylor expansion of (log PI) in n 4.189 * [taylor]: Taking taylor expansion of PI in n 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))) in n 4.194 * [taylor]: Taking taylor expansion of 0.5 in n 4.194 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))) in n 4.194 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.194 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.194 * [taylor]: Taking taylor expansion of 0.5 in n 4.194 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.195 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.195 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.195 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.195 * [taylor]: Taking taylor expansion of 1.0 in n 4.195 * [taylor]: Taking taylor expansion of (log PI) in n 4.195 * [taylor]: Taking taylor expansion of PI in n 4.196 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.196 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.196 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.196 * [taylor]: Taking taylor expansion of 1.0 in n 4.196 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.197 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.198 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.198 * [taylor]: Taking taylor expansion of 1.0 in n 4.198 * [taylor]: Taking taylor expansion of (log n) in n 4.198 * [taylor]: Taking taylor expansion of n in n 4.202 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 4.202 * [taylor]: Taking taylor expansion of NAN in n 4.202 * [taylor]: Taking taylor expansion of (log n) in n 4.202 * [taylor]: Taking taylor expansion of n in n 4.320 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.321 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) in n 4.374 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) in n 4.375 * [taylor]: Taking taylor expansion of 0.125 in n 4.375 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN)) in n 4.375 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.375 * [taylor]: Taking taylor expansion of 0.5 in n 4.375 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.375 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.375 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.375 * [taylor]: Taking taylor expansion of 1.0 in n 4.375 * [taylor]: Taking taylor expansion of (log PI) in n 4.375 * [taylor]: Taking taylor expansion of PI in n 4.377 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.377 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.377 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.377 * [taylor]: Taking taylor expansion of 1.0 in n 4.377 * [taylor]: Taking taylor expansion of (log n) in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.377 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.378 * [taylor]: Taking taylor expansion of 2.0 in n 4.383 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) NAN) in n 4.383 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.383 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.383 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.383 * [taylor]: Taking taylor expansion of 2.0 in n 4.383 * [taylor]: Taking taylor expansion of PI in n 4.384 * [taylor]: Taking taylor expansion of NAN in n 4.384 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))))) in n 4.384 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.384 * [taylor]: Taking taylor expansion of 0.125 in n 4.384 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.384 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) 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 4.384 * [taylor]: Taking taylor expansion of NAN in n 4.384 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.385 * [taylor]: Taking taylor expansion of 0.5 in n 4.385 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.385 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.385 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.385 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.385 * [taylor]: Taking taylor expansion of 1.0 in n 4.385 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.385 * [taylor]: Taking taylor expansion of 2.0 in n 4.386 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.386 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.386 * [taylor]: Taking taylor expansion of 1.0 in n 4.386 * [taylor]: Taking taylor expansion of (log n) in n 4.386 * [taylor]: Taking taylor expansion of n in n 4.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.387 * [taylor]: Taking taylor expansion of 1.0 in n 4.387 * [taylor]: Taking taylor expansion of (log PI) in n 4.387 * [taylor]: Taking taylor expansion of PI in n 4.392 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 4.392 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.392 * [taylor]: Taking taylor expansion of 0.25 in n 4.392 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.392 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) NAN)) in n 4.392 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.392 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.392 * [taylor]: Taking taylor expansion of 2.0 in n 4.392 * [taylor]: Taking taylor expansion of PI in n 4.393 * [taylor]: Taking taylor expansion of (* (log n) NAN) in n 4.393 * [taylor]: Taking taylor expansion of (log n) in n 4.393 * [taylor]: Taking taylor expansion of n in n 4.394 * [taylor]: Taking taylor expansion of NAN in n 4.394 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.394 * [taylor]: Taking taylor expansion of 0.5 in n 4.394 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.394 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.394 * [taylor]: Taking taylor expansion of 1.0 in n 4.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.394 * [taylor]: Taking taylor expansion of 2.0 in n 4.396 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.396 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.396 * [taylor]: Taking taylor expansion of 1.0 in n 4.396 * [taylor]: Taking taylor expansion of (log n) in n 4.396 * [taylor]: Taking taylor expansion of n in n 4.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.396 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.396 * [taylor]: Taking taylor expansion of 1.0 in n 4.396 * [taylor]: Taking taylor expansion of (log PI) in n 4.396 * [taylor]: Taking taylor expansion of PI in n 4.402 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 4.402 * [taylor]: Taking taylor expansion of 1.0 in n 4.402 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 4.402 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.402 * [taylor]: Taking taylor expansion of 0.5 in n 4.402 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.402 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.402 * [taylor]: Taking taylor expansion of 1.0 in n 4.402 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.402 * [taylor]: Taking taylor expansion of 2.0 in n 4.404 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.404 * [taylor]: Taking taylor expansion of 1.0 in n 4.404 * [taylor]: Taking taylor expansion of (log n) in n 4.404 * [taylor]: Taking taylor expansion of n in n 4.404 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.404 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.404 * [taylor]: Taking taylor expansion of 1.0 in n 4.404 * [taylor]: Taking taylor expansion of (log PI) in n 4.404 * [taylor]: Taking taylor expansion of PI in n 4.410 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 4.410 * [taylor]: Taking taylor expansion of NAN in n 4.410 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.410 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) in n 4.410 * [taylor]: Taking taylor expansion of 0.5 in n 4.410 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n))) in n 4.410 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.410 * [taylor]: Taking taylor expansion of 0.5 in n 4.410 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.410 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.410 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.410 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.410 * [taylor]: Taking taylor expansion of 1.0 in n 4.410 * [taylor]: Taking taylor expansion of (log PI) in n 4.410 * [taylor]: Taking taylor expansion of PI in n 4.412 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.412 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.412 * [taylor]: Taking taylor expansion of 1.0 in n 4.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.412 * [taylor]: Taking taylor expansion of 2.0 in n 4.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.414 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.414 * [taylor]: Taking taylor expansion of 1.0 in n 4.414 * [taylor]: Taking taylor expansion of (log n) in n 4.414 * [taylor]: Taking taylor expansion of n in n 4.417 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 4.418 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.418 * [taylor]: Taking taylor expansion of NAN in n 4.418 * [taylor]: Taking taylor expansion of (log n) in n 4.418 * [taylor]: Taking taylor expansion of n in n 4.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.418 * [taylor]: Taking taylor expansion of 0.5 in n 4.418 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.418 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow NAN 3)) in n 4.418 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.418 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.418 * [taylor]: Taking taylor expansion of 2.0 in n 4.418 * [taylor]: Taking taylor expansion of PI in n 4.419 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.419 * [taylor]: Taking taylor expansion of NAN in n 4.419 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.419 * [taylor]: Taking taylor expansion of 0.5 in n 4.419 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.419 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.419 * [taylor]: Taking taylor expansion of 1.0 in n 4.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.419 * [taylor]: Taking taylor expansion of 2.0 in n 4.421 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.421 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.421 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.421 * [taylor]: Taking taylor expansion of 1.0 in n 4.421 * [taylor]: Taking taylor expansion of (log n) in n 4.421 * [taylor]: Taking taylor expansion of n in n 4.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.422 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.422 * [taylor]: Taking taylor expansion of 1.0 in n 4.422 * [taylor]: Taking taylor expansion of (log PI) in n 4.422 * [taylor]: Taking taylor expansion of PI in n 4.516 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.516 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.516 * [taylor]: Taking taylor expansion of k in n 4.516 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.517 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) 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 (/ 1 n)) in n 4.517 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.517 * [taylor]: Taking taylor expansion of n in n 4.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.518 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.518 * [taylor]: Taking taylor expansion of 0.5 in n 4.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.518 * [taylor]: Taking taylor expansion of 1.0 in n 4.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.518 * [taylor]: Taking taylor expansion of k in n 4.518 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.518 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.518 * [taylor]: Taking taylor expansion of 2.0 in n 4.518 * [taylor]: Taking taylor expansion of PI in n 4.525 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.526 * [taylor]: Taking taylor expansion of 1.0 in k 4.526 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.526 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.526 * [taylor]: Taking taylor expansion of k in k 4.527 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.527 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.527 * [taylor]: Taking taylor expansion of 0.5 in k 4.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.527 * [taylor]: Taking taylor expansion of 1.0 in k 4.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.527 * [taylor]: Taking taylor expansion of k in k 4.527 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.527 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.527 * [taylor]: Taking taylor expansion of n in k 4.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.528 * [taylor]: Taking taylor expansion of 0.5 in k 4.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.528 * [taylor]: Taking taylor expansion of 1.0 in k 4.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.528 * [taylor]: Taking taylor expansion of k in k 4.529 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.529 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.529 * [taylor]: Taking taylor expansion of 2.0 in k 4.529 * [taylor]: Taking taylor expansion of PI in k 4.532 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.532 * [taylor]: Taking taylor expansion of 1.0 in k 4.532 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.532 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.532 * [taylor]: Taking taylor expansion of k in k 4.533 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.533 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.533 * [taylor]: Taking taylor expansion of 0.5 in k 4.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.533 * [taylor]: Taking taylor expansion of 1.0 in k 4.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.533 * [taylor]: Taking taylor expansion of k in k 4.533 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.533 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.533 * [taylor]: Taking taylor expansion of n in k 4.534 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.534 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.534 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.534 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.534 * [taylor]: Taking taylor expansion of 0.5 in k 4.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.534 * [taylor]: Taking taylor expansion of 1.0 in k 4.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.534 * [taylor]: Taking taylor expansion of k in k 4.535 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.535 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.535 * [taylor]: Taking taylor expansion of 2.0 in k 4.535 * [taylor]: Taking taylor expansion of PI in k 4.540 * [taylor]: Taking taylor expansion of 0 in n 4.543 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN))) in n 4.543 * [taylor]: Taking taylor expansion of 1.0 in n 4.543 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN)) in n 4.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.543 * [taylor]: Taking taylor expansion of 0.5 in n 4.543 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.543 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.543 * [taylor]: Taking taylor expansion of n in n 4.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.543 * [taylor]: Taking taylor expansion of 1.0 in n 4.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.543 * [taylor]: Taking taylor expansion of k in n 4.544 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN) in n 4.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.544 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.544 * [taylor]: Taking taylor expansion of 0.5 in n 4.544 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.544 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.544 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.544 * [taylor]: Taking taylor expansion of 2.0 in n 4.544 * [taylor]: Taking taylor expansion of PI in n 4.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.545 * [taylor]: Taking taylor expansion of 1.0 in n 4.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.545 * [taylor]: Taking taylor expansion of k in n 4.547 * [taylor]: Taking taylor expansion of NAN in n 4.557 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)))) in n 4.557 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3))) in n 4.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.557 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.557 * [taylor]: Taking taylor expansion of 0.5 in n 4.557 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.557 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.557 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.557 * [taylor]: Taking taylor expansion of n in n 4.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.558 * [taylor]: Taking taylor expansion of 1.0 in n 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.558 * [taylor]: Taking taylor expansion of k in n 4.559 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)) in n 4.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.559 * [taylor]: Taking taylor expansion of 0.5 in n 4.559 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.559 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.559 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.559 * [taylor]: Taking taylor expansion of 2.0 in n 4.559 * [taylor]: Taking taylor expansion of PI in n 4.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.560 * [taylor]: Taking taylor expansion of 1.0 in n 4.560 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.560 * [taylor]: Taking taylor expansion of k in n 4.562 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.562 * [taylor]: Taking taylor expansion of NAN in n 4.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)))) in n 4.588 * [taylor]: Taking taylor expansion of 1.0 in n 4.588 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5))) in n 4.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.588 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.588 * [taylor]: Taking taylor expansion of 0.5 in n 4.588 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.588 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.588 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.588 * [taylor]: Taking taylor expansion of n in n 4.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.588 * [taylor]: Taking taylor expansion of 1.0 in n 4.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.588 * [taylor]: Taking taylor expansion of k in n 4.589 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.589 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.589 * [taylor]: Taking taylor expansion of 0.5 in n 4.589 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.589 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.589 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.589 * [taylor]: Taking taylor expansion of 2.0 in n 4.589 * [taylor]: Taking taylor expansion of PI in n 4.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.590 * [taylor]: Taking taylor expansion of 1.0 in n 4.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.590 * [taylor]: Taking taylor expansion of k in n 4.592 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 4.592 * [taylor]: Taking taylor expansion of NAN in n 4.603 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 4.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 4.603 * [taylor]: Taking taylor expansion of 1.0 in n 4.603 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 4.603 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.603 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.603 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.603 * [taylor]: Taking taylor expansion of 0.5 in n 4.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.603 * [taylor]: Taking taylor expansion of k in n 4.603 * [taylor]: Taking taylor expansion of 1.0 in n 4.603 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.603 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.603 * [taylor]: Taking taylor expansion of -1 in n 4.603 * [taylor]: Taking taylor expansion of n in n 4.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.605 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.605 * [taylor]: Taking taylor expansion of 0.5 in n 4.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.605 * [taylor]: Taking taylor expansion of k in n 4.605 * [taylor]: Taking taylor expansion of 1.0 in n 4.605 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.605 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.605 * [taylor]: Taking taylor expansion of 2.0 in n 4.605 * [taylor]: Taking taylor expansion of PI in n 4.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.612 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.612 * [taylor]: Taking taylor expansion of -1 in n 4.612 * [taylor]: Taking taylor expansion of k in n 4.615 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.615 * [taylor]: Taking taylor expansion of 1.0 in k 4.615 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.615 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.615 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.615 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.615 * [taylor]: Taking taylor expansion of 0.5 in k 4.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.615 * [taylor]: Taking taylor expansion of k in k 4.615 * [taylor]: Taking taylor expansion of 1.0 in k 4.615 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.615 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.615 * [taylor]: Taking taylor expansion of -1 in k 4.615 * [taylor]: Taking taylor expansion of n in k 4.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.616 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.616 * [taylor]: Taking taylor expansion of 0.5 in k 4.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.616 * [taylor]: Taking taylor expansion of k in k 4.616 * [taylor]: Taking taylor expansion of 1.0 in k 4.616 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.616 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.616 * [taylor]: Taking taylor expansion of 2.0 in k 4.616 * [taylor]: Taking taylor expansion of PI in k 4.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.619 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.619 * [taylor]: Taking taylor expansion of -1 in k 4.619 * [taylor]: Taking taylor expansion of k in k 4.622 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.622 * [taylor]: Taking taylor expansion of 1.0 in k 4.622 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.622 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.622 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.622 * [taylor]: Taking taylor expansion of 0.5 in k 4.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.622 * [taylor]: Taking taylor expansion of k in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.623 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.623 * [taylor]: Taking taylor expansion of -1 in k 4.623 * [taylor]: Taking taylor expansion of n in k 4.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.624 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.624 * [taylor]: Taking taylor expansion of 0.5 in k 4.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.624 * [taylor]: Taking taylor expansion of k in k 4.624 * [taylor]: Taking taylor expansion of 1.0 in k 4.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.624 * [taylor]: Taking taylor expansion of 2.0 in k 4.624 * [taylor]: Taking taylor expansion of PI in k 4.627 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.627 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.627 * [taylor]: Taking taylor expansion of -1 in k 4.627 * [taylor]: Taking taylor expansion of k in k 4.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN)) in n 4.631 * [taylor]: Taking taylor expansion of 1.0 in n 4.631 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN) in n 4.631 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.631 * [taylor]: Taking taylor expansion of 0.5 in n 4.631 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.631 * [taylor]: Taking taylor expansion of k in n 4.631 * [taylor]: Taking taylor expansion of 1.0 in n 4.631 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.631 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.631 * [taylor]: Taking taylor expansion of -1 in n 4.631 * [taylor]: Taking taylor expansion of n in n 4.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.633 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.633 * [taylor]: Taking taylor expansion of 0.5 in n 4.633 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.633 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.633 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.633 * [taylor]: Taking taylor expansion of 2.0 in n 4.633 * [taylor]: Taking taylor expansion of PI in n 4.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.634 * [taylor]: Taking taylor expansion of k in n 4.634 * [taylor]: Taking taylor expansion of 1.0 in n 4.636 * [taylor]: Taking taylor expansion of NAN in n 4.648 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) in n 4.648 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 4.648 * [taylor]: Taking taylor expansion of 1.0 in n 4.648 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 4.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.648 * [taylor]: Taking taylor expansion of 0.5 in n 4.648 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.648 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.648 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.648 * [taylor]: Taking taylor expansion of 2.0 in n 4.648 * [taylor]: Taking taylor expansion of PI in n 4.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.649 * [taylor]: Taking taylor expansion of k in n 4.649 * [taylor]: Taking taylor expansion of 1.0 in n 4.651 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 4.651 * [taylor]: Taking taylor expansion of NAN in n 4.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.651 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.651 * [taylor]: Taking taylor expansion of 0.5 in n 4.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.651 * [taylor]: Taking taylor expansion of k in n 4.651 * [taylor]: Taking taylor expansion of 1.0 in n 4.651 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.651 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.651 * [taylor]: Taking taylor expansion of -1 in n 4.651 * [taylor]: Taking taylor expansion of n in n 4.680 * [taylor]: Taking taylor expansion of 0 in n 4.727 * [taylor]: Taking taylor expansion of 0 in n 4.730 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.730 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.730 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.730 * [taylor]: Taking taylor expansion of 0.5 in k 4.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.730 * [taylor]: Taking taylor expansion of 1.0 in k 4.730 * [taylor]: Taking taylor expansion of k in k 4.730 * [taylor]: Taking taylor expansion of (log n) in k 4.730 * [taylor]: Taking taylor expansion of n in k 4.731 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.731 * [taylor]: Taking taylor expansion of 0.5 in n 4.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.731 * [taylor]: Taking taylor expansion of 1.0 in n 4.731 * [taylor]: Taking taylor expansion of k in n 4.731 * [taylor]: Taking taylor expansion of (log n) in n 4.731 * [taylor]: Taking taylor expansion of n in n 4.732 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.732 * [taylor]: Taking taylor expansion of 0.5 in n 4.732 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.732 * [taylor]: Taking taylor expansion of 1.0 in n 4.732 * [taylor]: Taking taylor expansion of k in n 4.732 * [taylor]: Taking taylor expansion of (log n) in n 4.732 * [taylor]: Taking taylor expansion of n in n 4.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.733 * [taylor]: Taking taylor expansion of 0.5 in k 4.733 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.733 * [taylor]: Taking taylor expansion of 1.0 in k 4.733 * [taylor]: Taking taylor expansion of k in k 4.733 * [taylor]: Taking taylor expansion of (log n) in k 4.733 * [taylor]: Taking taylor expansion of n in k 4.736 * [taylor]: Taking taylor expansion of 0 in k 4.741 * [taylor]: Taking taylor expansion of 0 in k 4.744 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.745 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.745 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.745 * [taylor]: Taking taylor expansion of 0.5 in k 4.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.745 * [taylor]: Taking taylor expansion of 1.0 in k 4.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.745 * [taylor]: Taking taylor expansion of k in k 4.745 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.745 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.745 * [taylor]: Taking taylor expansion of n in k 4.746 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.746 * [taylor]: Taking taylor expansion of 0.5 in n 4.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.746 * [taylor]: Taking taylor expansion of 1.0 in n 4.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.746 * [taylor]: Taking taylor expansion of k in n 4.746 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.746 * [taylor]: Taking taylor expansion of n in n 4.747 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.747 * [taylor]: Taking taylor expansion of 0.5 in n 4.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.747 * [taylor]: Taking taylor expansion of 1.0 in n 4.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.747 * [taylor]: Taking taylor expansion of k in n 4.747 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.747 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.747 * [taylor]: Taking taylor expansion of n in n 4.748 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.748 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.748 * [taylor]: Taking taylor expansion of -0.5 in k 4.748 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.748 * [taylor]: Taking taylor expansion of (log n) in k 4.748 * [taylor]: Taking taylor expansion of n in k 4.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.749 * [taylor]: Taking taylor expansion of 1.0 in k 4.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.749 * [taylor]: Taking taylor expansion of k in k 4.752 * [taylor]: Taking taylor expansion of 0 in k 4.757 * [taylor]: Taking taylor expansion of 0 in k 4.763 * [taylor]: Taking taylor expansion of 0 in k 4.763 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.763 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.763 * [taylor]: Taking taylor expansion of 0.5 in k 4.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.763 * [taylor]: Taking taylor expansion of k in k 4.763 * [taylor]: Taking taylor expansion of 1.0 in k 4.763 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.763 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.763 * [taylor]: Taking taylor expansion of -1 in k 4.764 * [taylor]: Taking taylor expansion of n in k 4.764 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.764 * [taylor]: Taking taylor expansion of 0.5 in n 4.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.764 * [taylor]: Taking taylor expansion of k in n 4.764 * [taylor]: Taking taylor expansion of 1.0 in n 4.764 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.764 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.764 * [taylor]: Taking taylor expansion of -1 in n 4.764 * [taylor]: Taking taylor expansion of n in n 4.766 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.766 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.766 * [taylor]: Taking taylor expansion of 0.5 in n 4.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.766 * [taylor]: Taking taylor expansion of k in n 4.766 * [taylor]: Taking taylor expansion of 1.0 in n 4.766 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.766 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.766 * [taylor]: Taking taylor expansion of -1 in n 4.766 * [taylor]: Taking taylor expansion of n in n 4.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.768 * [taylor]: Taking taylor expansion of 0.5 in k 4.768 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.768 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.768 * [taylor]: Taking taylor expansion of (log -1) in k 4.768 * [taylor]: Taking taylor expansion of -1 in k 4.769 * [taylor]: Taking taylor expansion of (log n) in k 4.769 * [taylor]: Taking taylor expansion of n in k 4.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.769 * [taylor]: Taking taylor expansion of k in k 4.769 * [taylor]: Taking taylor expansion of 1.0 in k 4.774 * [taylor]: Taking taylor expansion of 0 in k 4.785 * [taylor]: Taking taylor expansion of 0 in k 4.792 * [taylor]: Taking taylor expansion of 0 in k 4.793 * * * [progress]: simplifying candidates 4.795 * [simplify]: Simplifying using # : (* (+ (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)) (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* 1.0 1.0) 1.0) (* (* (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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ (- 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)))) (* (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 1) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (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 k) 2.0))) (- (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (+ (log 1.0) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* (* 1.0 1.0) 1.0) (* (* (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)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ (- 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 k) (sqrt k)) (sqrt k))) (/ (* (* (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (neg (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (neg (sqrt k)) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 1) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ 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))))) (- (+ (* 1.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (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))) (* 0.25 (* (* (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)))))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* 1.0 (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* 1.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log n) 2) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (pow NAN 5) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 3))) (+ (* 1.0 (/ (* (pow NAN 3) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (* 1.0 (/ (* NAN (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k)))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) k)) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) (- (+ (* 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)))))) 4.806 * * [simplify]: iteration 0 : 1014 enodes (cost 1748 ) 4.825 * * [simplify]: iteration 1 : 4718 enodes (cost 1549 ) 4.906 * * [simplify]: iteration 2 : 5001 enodes (cost 1543 ) 4.914 * [simplify]: Simplified to: (* (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)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log 1.0)) (exp (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (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 k) 2.0))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (neg (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (neg (sqrt k)) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (/ (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ 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)) (- (+ (* 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)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ 1.0 (* 0.125 (* (pow k 2) (pow (log n) 2))))) (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI)))))))) (* (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) 1.0) (* (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 1.0) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log n) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* (/ NAN (/ k (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) 1.0) (* 1.0 (+ (/ (pow NAN 5) (/ (pow k 3) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (/ (pow NAN 3) (/ (pow k 2) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) k) (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) (- (+ (* 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)))))) 4.915 * * * [progress]: adding candidates to table 5.424 * * [progress]: iteration 4 / 4 5.424 * * * [progress]: picking best candidate 5.465 * * * * [pick]: Picked # 5.465 * * * [progress]: localizing error 5.481 * * * [progress]: generating rewritten candidates 5.481 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.506 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.547 * * * [progress]: generating series expansions 5.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.547 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.547 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.547 * [taylor]: Taking taylor expansion of 1.0 in k 5.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.547 * [taylor]: Taking taylor expansion of k in k 5.549 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.549 * [taylor]: Taking taylor expansion of 1.0 in k 5.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.549 * [taylor]: Taking taylor expansion of k in k 5.567 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.567 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.567 * [taylor]: Taking taylor expansion of 1.0 in k 5.567 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.567 * [taylor]: Taking taylor expansion of k in k 5.568 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.568 * [taylor]: Taking taylor expansion of 1.0 in k 5.568 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.568 * [taylor]: Taking taylor expansion of k in k 5.584 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.584 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.584 * [taylor]: Taking taylor expansion of 1.0 in k 5.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.584 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.584 * [taylor]: Taking taylor expansion of -1 in k 5.584 * [taylor]: Taking taylor expansion of k in k 5.586 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.586 * [taylor]: Taking taylor expansion of 1.0 in k 5.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.586 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.586 * [taylor]: Taking taylor expansion of -1 in k 5.586 * [taylor]: Taking taylor expansion of k in k 5.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 5.741 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.741 * [taylor]: Taking taylor expansion of 0.5 in k 5.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.741 * [taylor]: Taking taylor expansion of 1.0 in k 5.741 * [taylor]: Taking taylor expansion of k in k 5.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.741 * [taylor]: Taking taylor expansion of 2.0 in k 5.741 * [taylor]: Taking taylor expansion of (* n PI) in k 5.741 * [taylor]: Taking taylor expansion of n in k 5.741 * [taylor]: Taking taylor expansion of PI in k 5.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.742 * [taylor]: Taking taylor expansion of 0.5 in n 5.742 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.742 * [taylor]: Taking taylor expansion of 1.0 in n 5.742 * [taylor]: Taking taylor expansion of k in n 5.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.742 * [taylor]: Taking taylor expansion of 2.0 in n 5.742 * [taylor]: Taking taylor expansion of (* n PI) in n 5.742 * [taylor]: Taking taylor expansion of n in n 5.742 * [taylor]: Taking taylor expansion of PI in n 5.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.747 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.747 * [taylor]: Taking taylor expansion of 0.5 in n 5.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.748 * [taylor]: Taking taylor expansion of 1.0 in n 5.748 * [taylor]: Taking taylor expansion of k in n 5.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.748 * [taylor]: Taking taylor expansion of 2.0 in n 5.748 * [taylor]: Taking taylor expansion of (* n PI) in n 5.748 * [taylor]: Taking taylor expansion of n in n 5.748 * [taylor]: Taking taylor expansion of PI in n 5.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.760 * [taylor]: Taking taylor expansion of 0.5 in k 5.760 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.760 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.760 * [taylor]: Taking taylor expansion of 1.0 in k 5.760 * [taylor]: Taking taylor expansion of k in k 5.760 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.760 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.760 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.760 * [taylor]: Taking taylor expansion of 2.0 in k 5.760 * [taylor]: Taking taylor expansion of PI in k 5.761 * [taylor]: Taking taylor expansion of (log n) in k 5.761 * [taylor]: Taking taylor expansion of n in k 5.770 * [taylor]: Taking taylor expansion of 0 in k 5.787 * [taylor]: Taking taylor expansion of 0 in k 5.805 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.805 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.805 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.805 * [taylor]: Taking taylor expansion of 0.5 in k 5.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.805 * [taylor]: Taking taylor expansion of 1.0 in k 5.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.806 * [taylor]: Taking taylor expansion of k in k 5.806 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.806 * [taylor]: Taking taylor expansion of 2.0 in k 5.806 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.806 * [taylor]: Taking taylor expansion of PI in k 5.806 * [taylor]: Taking taylor expansion of n in k 5.807 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.807 * [taylor]: Taking taylor expansion of 0.5 in n 5.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.807 * [taylor]: Taking taylor expansion of 1.0 in n 5.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.807 * [taylor]: Taking taylor expansion of k in n 5.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.807 * [taylor]: Taking taylor expansion of 2.0 in n 5.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.807 * [taylor]: Taking taylor expansion of PI in n 5.807 * [taylor]: Taking taylor expansion of n in n 5.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.811 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.811 * [taylor]: Taking taylor expansion of 0.5 in n 5.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.811 * [taylor]: Taking taylor expansion of 1.0 in n 5.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.811 * [taylor]: Taking taylor expansion of k in n 5.811 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.811 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.811 * [taylor]: Taking taylor expansion of 2.0 in n 5.811 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.811 * [taylor]: Taking taylor expansion of PI in n 5.811 * [taylor]: Taking taylor expansion of n in n 5.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.815 * [taylor]: Taking taylor expansion of 0.5 in k 5.815 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.815 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.815 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.815 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.815 * [taylor]: Taking taylor expansion of 2.0 in k 5.815 * [taylor]: Taking taylor expansion of PI in k 5.816 * [taylor]: Taking taylor expansion of (log n) in k 5.816 * [taylor]: Taking taylor expansion of n in k 5.816 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.816 * [taylor]: Taking taylor expansion of 1.0 in k 5.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.816 * [taylor]: Taking taylor expansion of k in k 5.825 * [taylor]: Taking taylor expansion of 0 in k 5.832 * [taylor]: Taking taylor expansion of 0 in k 5.848 * [taylor]: Taking taylor expansion of 0 in k 5.850 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.850 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.850 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.850 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.850 * [taylor]: Taking taylor expansion of 0.5 in k 5.850 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.850 * [taylor]: Taking taylor expansion of k in k 5.850 * [taylor]: Taking taylor expansion of 1.0 in k 5.850 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.850 * [taylor]: Taking taylor expansion of -2.0 in k 5.850 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.850 * [taylor]: Taking taylor expansion of PI in k 5.850 * [taylor]: Taking taylor expansion of n in k 5.851 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.851 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.851 * [taylor]: Taking taylor expansion of 0.5 in n 5.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.851 * [taylor]: Taking taylor expansion of k in n 5.851 * [taylor]: Taking taylor expansion of 1.0 in n 5.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.851 * [taylor]: Taking taylor expansion of -2.0 in n 5.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.851 * [taylor]: Taking taylor expansion of PI in n 5.851 * [taylor]: Taking taylor expansion of n in n 5.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.855 * [taylor]: Taking taylor expansion of 0.5 in n 5.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.855 * [taylor]: Taking taylor expansion of k in n 5.855 * [taylor]: Taking taylor expansion of 1.0 in n 5.855 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.855 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.855 * [taylor]: Taking taylor expansion of -2.0 in n 5.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.855 * [taylor]: Taking taylor expansion of PI in n 5.855 * [taylor]: Taking taylor expansion of n in n 5.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.859 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.859 * [taylor]: Taking taylor expansion of 0.5 in k 5.859 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.859 * [taylor]: Taking taylor expansion of k in k 5.859 * [taylor]: Taking taylor expansion of 1.0 in k 5.859 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.859 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.859 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.859 * [taylor]: Taking taylor expansion of -2.0 in k 5.859 * [taylor]: Taking taylor expansion of PI in k 5.860 * [taylor]: Taking taylor expansion of (log n) in k 5.860 * [taylor]: Taking taylor expansion of n in k 5.869 * [taylor]: Taking taylor expansion of 0 in k 5.876 * [taylor]: Taking taylor expansion of 0 in k 5.885 * [taylor]: Taking taylor expansion of 0 in k 5.886 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.886 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.886 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.886 * [taylor]: Taking taylor expansion of 2.0 in n 5.886 * [taylor]: Taking taylor expansion of (* n PI) in n 5.886 * [taylor]: Taking taylor expansion of n in n 5.886 * [taylor]: Taking taylor expansion of PI in n 5.886 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.886 * [taylor]: Taking taylor expansion of 2.0 in n 5.886 * [taylor]: Taking taylor expansion of (* n PI) in n 5.886 * [taylor]: Taking taylor expansion of n in n 5.886 * [taylor]: Taking taylor expansion of PI in n 5.899 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.899 * [taylor]: Taking taylor expansion of 2.0 in n 5.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.899 * [taylor]: Taking taylor expansion of PI in n 5.899 * [taylor]: Taking taylor expansion of n in n 5.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.899 * [taylor]: Taking taylor expansion of 2.0 in n 5.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.899 * [taylor]: Taking taylor expansion of PI in n 5.899 * [taylor]: Taking taylor expansion of n in n 5.909 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.909 * [taylor]: Taking taylor expansion of -2.0 in n 5.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.909 * [taylor]: Taking taylor expansion of PI in n 5.909 * [taylor]: Taking taylor expansion of n in n 5.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.910 * [taylor]: Taking taylor expansion of -2.0 in n 5.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.910 * [taylor]: Taking taylor expansion of PI in n 5.910 * [taylor]: Taking taylor expansion of n in n 5.918 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.918 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 5.918 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.918 * [taylor]: Taking taylor expansion of 1.0 in k 5.918 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.919 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.919 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.919 * [taylor]: Taking taylor expansion of 1/4 in k 5.919 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.919 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.919 * [taylor]: Taking taylor expansion of k in k 5.919 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 5.919 * [taylor]: Taking taylor expansion of 1.0 in k 5.919 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 5.920 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 5.920 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 5.920 * [taylor]: Taking taylor expansion of 1/4 in k 5.920 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 5.920 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.920 * [taylor]: Taking taylor expansion of k in k 5.984 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 5.984 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.984 * [taylor]: Taking taylor expansion of 1.0 in k 5.984 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.985 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.985 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.985 * [taylor]: Taking taylor expansion of 1/4 in k 5.985 * [taylor]: Taking taylor expansion of (log k) in k 5.985 * [taylor]: Taking taylor expansion of k in k 5.985 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 5.985 * [taylor]: Taking taylor expansion of 1.0 in k 5.985 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 5.985 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 5.985 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 5.985 * [taylor]: Taking taylor expansion of 1/4 in k 5.985 * [taylor]: Taking taylor expansion of (log k) in k 5.985 * [taylor]: Taking taylor expansion of k in k 6.046 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 6.046 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 6.046 * [taylor]: Taking taylor expansion of 1.0 in k 6.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.046 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.046 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.046 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.046 * [taylor]: Taking taylor expansion of -1 in k 6.046 * [taylor]: Taking taylor expansion of k in k 6.056 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 6.056 * [taylor]: Taking taylor expansion of 1.0 in k 6.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 6.056 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.056 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.056 * [taylor]: Taking taylor expansion of -1 in k 6.056 * [taylor]: Taking taylor expansion of k in k 6.105 * * * [progress]: simplifying candidates 6.113 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) 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k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt k)) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1.0 (/ 1 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (sqrt k) 1.0) (/ (/ 1.0 (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (* (fabs (cbrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt (sqrt k)) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt (sqrt k)) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (sqrt k) 1.0) (/ (sqrt k) 1.0) (sqrt k) (sqrt k) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (pow (/ 1.0 (sqrt (sqrt k))) 3) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (neg 1.0) (neg (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (/ (fabs (cbrt (sqrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (* 1 (fabs (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (* 1 (fabs (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1 (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1.0) (/ 1.0 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (fabs (cbrt (sqrt k)))) (/ 1.0 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ 1.0 (sqrt (sqrt (sqrt k)))) 1.0 (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (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) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (+ (* 0.5 (* (/ 1 k) (sqrt (pow NAN 3)))) (* 1.0 (sqrt (/ 1 NAN)))) (* 0.125 (* (/ 1 (pow k 2)) (sqrt (pow NAN 7))))) 6.179 * * * [progress]: adding candidates to table 7.062 * [progress]: [Phase 3 of 3] Extracting. 7.063 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 7.065 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 7.065 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 7.147 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 7.215 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 7.308 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 7.395 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 7.479 * * * [regime]: Found split indices: #