15.774 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.203 * * * [progress]: [2/2] Setting up program. 0.206 * [progress]: [Phase 2 of 3] Improving. 0.206 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.209 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.211 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.213 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.216 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.222 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.245 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.246 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.246 * * [progress]: iteration 1 / 4 0.246 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.263 * * * [progress]: generating rewritten candidates 0.263 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.273 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.282 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.299 * * * [progress]: generating series expansions 0.299 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.300 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.300 * [taylor]: Taking taylor expansion of (* n PI) in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.301 * [taylor]: Taking taylor expansion of 0.5 in n 0.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.301 * [taylor]: Taking taylor expansion of 1.0 in n 0.301 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (* n PI) in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.307 * [taylor]: Taking taylor expansion of 0.5 in n 0.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of k in n 0.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.307 * [taylor]: Taking taylor expansion of 2.0 in n 0.307 * [taylor]: Taking taylor expansion of (* n PI) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.313 * [taylor]: Taking taylor expansion of 0.5 in k 0.313 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [taylor]: Taking taylor expansion of k in k 0.313 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.313 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.313 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.313 * [taylor]: Taking taylor expansion of 2.0 in k 0.313 * [taylor]: Taking taylor expansion of PI in k 0.314 * [taylor]: Taking taylor expansion of (log n) in k 0.314 * [taylor]: Taking taylor expansion of n in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.350 * [taylor]: Taking taylor expansion of 0 in k 0.369 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.369 * [taylor]: Taking taylor expansion of 0.5 in k 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.369 * [taylor]: Taking taylor expansion of 1.0 in k 0.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.369 * [taylor]: Taking taylor expansion of k in k 0.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.370 * [taylor]: Taking taylor expansion of 2.0 in k 0.370 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.370 * [taylor]: Taking taylor expansion of PI in k 0.370 * [taylor]: Taking taylor expansion of n in k 0.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.371 * [taylor]: Taking taylor expansion of 0.5 in n 0.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.371 * [taylor]: Taking taylor expansion of 1.0 in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.371 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.371 * [taylor]: Taking taylor expansion of PI in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.375 * [taylor]: Taking taylor expansion of 0.5 in n 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.375 * [taylor]: Taking taylor expansion of 1.0 in n 0.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.375 * [taylor]: Taking taylor expansion of k in n 0.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.375 * [taylor]: Taking taylor expansion of 2.0 in n 0.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.375 * [taylor]: Taking taylor expansion of PI in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.379 * [taylor]: Taking taylor expansion of 0.5 in k 0.379 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.379 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.379 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.379 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.379 * [taylor]: Taking taylor expansion of 2.0 in k 0.379 * [taylor]: Taking taylor expansion of PI in k 0.380 * [taylor]: Taking taylor expansion of (log n) in k 0.380 * [taylor]: Taking taylor expansion of n in k 0.380 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.389 * [taylor]: Taking taylor expansion of 0 in k 0.396 * [taylor]: Taking taylor expansion of 0 in k 0.405 * [taylor]: Taking taylor expansion of 0 in k 0.407 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.407 * [taylor]: Taking taylor expansion of 0.5 in k 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.407 * [taylor]: Taking taylor expansion of -2.0 in k 0.407 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of n in k 0.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.408 * [taylor]: Taking taylor expansion of -2.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.420 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.420 * [taylor]: Taking taylor expansion of 0.5 in n 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.420 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.420 * [taylor]: Taking taylor expansion of k in n 0.420 * [taylor]: Taking taylor expansion of 1.0 in n 0.420 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.420 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of -2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.424 * [taylor]: Taking taylor expansion of 0.5 in k 0.424 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.424 * [taylor]: Taking taylor expansion of k in k 0.425 * [taylor]: Taking taylor expansion of 1.0 in k 0.425 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.425 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.425 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.425 * [taylor]: Taking taylor expansion of -2.0 in k 0.425 * [taylor]: Taking taylor expansion of PI in k 0.426 * [taylor]: Taking taylor expansion of (log n) in k 0.426 * [taylor]: Taking taylor expansion of n in k 0.434 * [taylor]: Taking taylor expansion of 0 in k 0.441 * [taylor]: Taking taylor expansion of 0 in k 0.450 * [taylor]: Taking taylor expansion of 0 in k 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.451 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.464 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.464 * [taylor]: Taking taylor expansion of 2.0 in n 0.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.464 * [taylor]: Taking taylor expansion of PI in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.464 * [taylor]: Taking taylor expansion of 2.0 in n 0.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.464 * [taylor]: Taking taylor expansion of PI in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.473 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.473 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.473 * [taylor]: Taking taylor expansion of -2.0 in n 0.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.473 * [taylor]: Taking taylor expansion of PI in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.474 * [taylor]: Taking taylor expansion of -2.0 in n 0.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.482 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.482 * [taylor]: Taking taylor expansion of 1.0 in k 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.483 * [taylor]: Taking taylor expansion of k in k 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.484 * [taylor]: Taking taylor expansion of 1.0 in k 0.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.484 * [taylor]: Taking taylor expansion of k in k 0.495 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.495 * [taylor]: Taking taylor expansion of 1.0 in k 0.495 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.495 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.654 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.654 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.654 * [taylor]: Taking taylor expansion of 1.0 in k 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.654 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.654 * [taylor]: Taking taylor expansion of -1 in k 0.654 * [taylor]: Taking taylor expansion of k in k 0.656 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.656 * [taylor]: Taking taylor expansion of 1.0 in k 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.656 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.656 * [taylor]: Taking taylor expansion of -1 in k 0.656 * [taylor]: Taking taylor expansion of k in k 0.668 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.669 * [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 0.669 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.669 * [taylor]: Taking taylor expansion of 0.5 in n 0.669 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.669 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.669 * [taylor]: Taking taylor expansion of 2.0 in n 0.670 * [taylor]: Taking taylor expansion of (* n PI) in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.675 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.676 * [taylor]: Taking taylor expansion of 0.5 in k 0.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.677 * [taylor]: Taking taylor expansion of 2.0 in k 0.677 * [taylor]: Taking taylor expansion of (* n PI) in k 0.677 * [taylor]: Taking taylor expansion of n in k 0.677 * [taylor]: Taking taylor expansion of PI in k 0.677 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.678 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.678 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.679 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.679 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.679 * [taylor]: Taking taylor expansion of 0.5 in k 0.679 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.679 * [taylor]: Taking taylor expansion of 2.0 in k 0.679 * [taylor]: Taking taylor expansion of (* n PI) in k 0.679 * [taylor]: Taking taylor expansion of n in k 0.679 * [taylor]: Taking taylor expansion of PI in k 0.680 * [taylor]: Taking taylor expansion of 0 in n 0.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.686 * [taylor]: Taking taylor expansion of +nan.0 in n 0.686 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.686 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.686 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.686 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.686 * [taylor]: Taking taylor expansion of (log PI) in n 0.686 * [taylor]: Taking taylor expansion of PI in n 0.688 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.688 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.688 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (log n) in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.689 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.689 * [taylor]: Taking taylor expansion of 2.0 in n 0.708 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.708 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.708 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.708 * [taylor]: Taking taylor expansion of +nan.0 in n 0.708 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.708 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.708 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.709 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.709 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.709 * [taylor]: Taking taylor expansion of 1.0 in n 0.709 * [taylor]: Taking taylor expansion of (log PI) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.711 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.711 * [taylor]: Taking taylor expansion of 1.0 in n 0.711 * [taylor]: Taking taylor expansion of (log n) in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.711 * [taylor]: Taking taylor expansion of 1.0 in n 0.711 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.711 * [taylor]: Taking taylor expansion of 2.0 in n 0.717 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.717 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.717 * [taylor]: Taking taylor expansion of +nan.0 in n 0.717 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.717 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.717 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.717 * [taylor]: Taking taylor expansion of 0.5 in n 0.717 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.717 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.717 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.717 * [taylor]: Taking taylor expansion of 2.0 in n 0.719 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.719 * [taylor]: Taking taylor expansion of 1.0 in n 0.719 * [taylor]: Taking taylor expansion of (log PI) in n 0.719 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log n) in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.725 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.725 * [taylor]: Taking taylor expansion of 2.0 in n 0.725 * [taylor]: Taking taylor expansion of (* n PI) in n 0.725 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.779 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.780 * [taylor]: Taking taylor expansion of +nan.0 in n 0.780 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.780 * [taylor]: Taking taylor expansion of 0.5 in n 0.780 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.780 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.780 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.780 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.780 * [taylor]: Taking taylor expansion of 1.0 in n 0.780 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.780 * [taylor]: Taking taylor expansion of 2.0 in n 0.781 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.782 * [taylor]: Taking taylor expansion of 1.0 in n 0.782 * [taylor]: Taking taylor expansion of (log n) in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.782 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.782 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.782 * [taylor]: Taking taylor expansion of 1.0 in n 0.782 * [taylor]: Taking taylor expansion of (log PI) in n 0.782 * [taylor]: Taking taylor expansion of PI in n 0.788 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.788 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.788 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.788 * [taylor]: Taking taylor expansion of +nan.0 in n 0.788 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.788 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.788 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.788 * [taylor]: Taking taylor expansion of 0.5 in n 0.788 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.788 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.788 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.788 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.788 * [taylor]: Taking taylor expansion of 1.0 in n 0.788 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.788 * [taylor]: Taking taylor expansion of 2.0 in n 0.790 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.790 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.790 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.790 * [taylor]: Taking taylor expansion of 1.0 in n 0.790 * [taylor]: Taking taylor expansion of (log PI) in n 0.790 * [taylor]: Taking taylor expansion of PI in n 0.792 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.792 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.792 * [taylor]: Taking taylor expansion of 1.0 in n 0.792 * [taylor]: Taking taylor expansion of (log n) in n 0.792 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.796 * [taylor]: Taking taylor expansion of 2.0 in n 0.796 * [taylor]: Taking taylor expansion of (* n PI) in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.799 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.799 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.799 * [taylor]: Taking taylor expansion of +nan.0 in n 0.799 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.799 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.799 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.799 * [taylor]: Taking taylor expansion of 0.5 in n 0.800 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.800 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.800 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.800 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.800 * [taylor]: Taking taylor expansion of 1.0 in n 0.800 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.800 * [taylor]: Taking taylor expansion of 2.0 in n 0.802 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.802 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.802 * [taylor]: Taking taylor expansion of 1.0 in n 0.802 * [taylor]: Taking taylor expansion of (log PI) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.804 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.804 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.804 * [taylor]: Taking taylor expansion of 1.0 in n 0.804 * [taylor]: Taking taylor expansion of (log n) in n 0.804 * [taylor]: Taking taylor expansion of n in n 0.808 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.808 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.808 * [taylor]: Taking taylor expansion of 2.0 in n 0.808 * [taylor]: Taking taylor expansion of (* n PI) in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.808 * [taylor]: Taking taylor expansion of PI in n 0.885 * [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 0.885 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.885 * [taylor]: Taking taylor expansion of 1.0 in n 0.885 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.885 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.885 * [taylor]: Taking taylor expansion of k in n 0.885 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.885 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.885 * [taylor]: Taking taylor expansion of 0.5 in n 0.885 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.885 * [taylor]: Taking taylor expansion of 1.0 in n 0.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.885 * [taylor]: Taking taylor expansion of k in n 0.885 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.885 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.885 * [taylor]: Taking taylor expansion of 2.0 in n 0.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.885 * [taylor]: Taking taylor expansion of PI in n 0.885 * [taylor]: Taking taylor expansion of n in n 0.889 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.889 * [taylor]: Taking taylor expansion of 1.0 in k 0.889 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.889 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.889 * [taylor]: Taking taylor expansion of k in k 0.890 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.890 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.890 * [taylor]: Taking taylor expansion of 0.5 in k 0.890 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.890 * [taylor]: Taking taylor expansion of 1.0 in k 0.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.890 * [taylor]: Taking taylor expansion of k in k 0.891 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.891 * [taylor]: Taking taylor expansion of 2.0 in k 0.891 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.891 * [taylor]: Taking taylor expansion of PI in k 0.891 * [taylor]: Taking taylor expansion of n in k 0.892 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.892 * [taylor]: Taking taylor expansion of 1.0 in k 0.892 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.892 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.892 * [taylor]: Taking taylor expansion of k in k 0.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.893 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.893 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.893 * [taylor]: Taking taylor expansion of 0.5 in k 0.893 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.893 * [taylor]: Taking taylor expansion of 1.0 in k 0.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.893 * [taylor]: Taking taylor expansion of k in k 0.894 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.894 * [taylor]: Taking taylor expansion of 2.0 in k 0.894 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.894 * [taylor]: Taking taylor expansion of PI in k 0.894 * [taylor]: Taking taylor expansion of n in k 0.895 * [taylor]: Taking taylor expansion of 0 in n 0.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.896 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.896 * [taylor]: Taking taylor expansion of +nan.0 in n 0.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.896 * [taylor]: Taking taylor expansion of 0.5 in n 0.896 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.896 * [taylor]: Taking taylor expansion of 2.0 in n 0.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.896 * [taylor]: Taking taylor expansion of PI in n 0.896 * [taylor]: Taking taylor expansion of n in n 0.897 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.897 * [taylor]: Taking taylor expansion of 1.0 in n 0.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.897 * [taylor]: Taking taylor expansion of k in n 0.909 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.909 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.909 * [taylor]: Taking taylor expansion of +nan.0 in n 0.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.909 * [taylor]: Taking taylor expansion of 0.5 in n 0.909 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.909 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.909 * [taylor]: Taking taylor expansion of 2.0 in n 0.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.909 * [taylor]: Taking taylor expansion of PI in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.911 * [taylor]: Taking taylor expansion of 1.0 in n 0.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.911 * [taylor]: Taking taylor expansion of k in n 0.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.927 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.927 * [taylor]: Taking taylor expansion of +nan.0 in n 0.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.927 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.927 * [taylor]: Taking taylor expansion of 0.5 in n 0.927 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.927 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.927 * [taylor]: Taking taylor expansion of 2.0 in n 0.927 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.927 * [taylor]: Taking taylor expansion of PI in n 0.927 * [taylor]: Taking taylor expansion of n in n 0.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.928 * [taylor]: Taking taylor expansion of 1.0 in n 0.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.929 * [taylor]: Taking taylor expansion of k in n 0.937 * [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 0.937 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.937 * [taylor]: Taking taylor expansion of 1.0 in n 0.937 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.937 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.937 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.937 * [taylor]: Taking taylor expansion of 0.5 in n 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.937 * [taylor]: Taking taylor expansion of k in n 0.937 * [taylor]: Taking taylor expansion of 1.0 in n 0.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.937 * [taylor]: Taking taylor expansion of -2.0 in n 0.938 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.938 * [taylor]: Taking taylor expansion of PI in n 0.938 * [taylor]: Taking taylor expansion of n in n 0.941 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.941 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.941 * [taylor]: Taking taylor expansion of -1 in n 0.941 * [taylor]: Taking taylor expansion of k in n 0.942 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.942 * [taylor]: Taking taylor expansion of 1.0 in k 0.942 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.942 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.942 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.942 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.942 * [taylor]: Taking taylor expansion of 0.5 in k 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.942 * [taylor]: Taking taylor expansion of k in k 0.943 * [taylor]: Taking taylor expansion of 1.0 in k 0.943 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.943 * [taylor]: Taking taylor expansion of -2.0 in k 0.943 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.943 * [taylor]: Taking taylor expansion of PI in k 0.943 * [taylor]: Taking taylor expansion of n in k 0.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.944 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.944 * [taylor]: Taking taylor expansion of -1 in k 0.944 * [taylor]: Taking taylor expansion of k in k 0.945 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.945 * [taylor]: Taking taylor expansion of 1.0 in k 0.945 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.945 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.945 * [taylor]: Taking taylor expansion of 0.5 in k 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.946 * [taylor]: Taking taylor expansion of 1.0 in k 0.946 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.946 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.946 * [taylor]: Taking taylor expansion of -2.0 in k 0.946 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.946 * [taylor]: Taking taylor expansion of PI in k 0.946 * [taylor]: Taking taylor expansion of n in k 0.947 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.947 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.947 * [taylor]: Taking taylor expansion of -1 in k 0.947 * [taylor]: Taking taylor expansion of k in k 0.949 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.949 * [taylor]: Taking taylor expansion of +nan.0 in n 0.949 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.949 * [taylor]: Taking taylor expansion of 0.5 in n 0.949 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.949 * [taylor]: Taking taylor expansion of k in n 0.949 * [taylor]: Taking taylor expansion of 1.0 in n 0.949 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.949 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.949 * [taylor]: Taking taylor expansion of -2.0 in n 0.949 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.949 * [taylor]: Taking taylor expansion of PI in n 0.949 * [taylor]: Taking taylor expansion of n in n 0.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.958 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.958 * [taylor]: Taking taylor expansion of +nan.0 in n 0.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.958 * [taylor]: Taking taylor expansion of 0.5 in n 0.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.958 * [taylor]: Taking taylor expansion of k in n 0.958 * [taylor]: Taking taylor expansion of 1.0 in n 0.958 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.958 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.958 * [taylor]: Taking taylor expansion of -2.0 in n 0.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.958 * [taylor]: Taking taylor expansion of PI in n 0.958 * [taylor]: Taking taylor expansion of n in n 0.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.977 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.977 * [taylor]: Taking taylor expansion of +nan.0 in n 0.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.977 * [taylor]: Taking taylor expansion of 0.5 in n 0.977 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.977 * [taylor]: Taking taylor expansion of k in n 0.977 * [taylor]: Taking taylor expansion of 1.0 in n 0.977 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.977 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.977 * [taylor]: Taking taylor expansion of -2.0 in n 0.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.977 * [taylor]: Taking taylor expansion of PI in n 0.977 * [taylor]: Taking taylor expansion of n in n 0.986 * * * [progress]: simplifying candidates 0.989 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 1.095 * * * [progress]: adding candidates to table 1.500 * * [progress]: iteration 2 / 4 1.500 * * * [progress]: picking best candidate 1.535 * * * * [pick]: Picked # 1.535 * * * [progress]: localizing error 1.554 * * * [progress]: generating rewritten candidates 1.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.578 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.583 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.593 * * * [progress]: generating series expansions 1.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.594 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 1.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.594 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.594 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.594 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.594 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.596 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.596 * [taylor]: Taking taylor expansion of 2.0 in k 1.596 * [taylor]: Taking taylor expansion of (* n PI) in k 1.596 * [taylor]: Taking taylor expansion of n in k 1.596 * [taylor]: Taking taylor expansion of PI in k 1.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.598 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.598 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.598 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.598 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.598 * [taylor]: Taking taylor expansion of k in n 1.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.598 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.599 * [taylor]: Taking taylor expansion of 2.0 in n 1.599 * [taylor]: Taking taylor expansion of (* n PI) in n 1.599 * [taylor]: Taking taylor expansion of n in n 1.599 * [taylor]: Taking taylor expansion of PI in n 1.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.605 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.605 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.605 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.605 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.605 * [taylor]: Taking taylor expansion of k in n 1.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.605 * [taylor]: Taking taylor expansion of 1.0 in n 1.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.606 * [taylor]: Taking taylor expansion of 2.0 in n 1.606 * [taylor]: Taking taylor expansion of (* n PI) in n 1.606 * [taylor]: Taking taylor expansion of n in n 1.606 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 1.616 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 1.616 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.616 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.616 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.616 * [taylor]: Taking taylor expansion of 2.0 in k 1.616 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (log n) in k 1.617 * [taylor]: Taking taylor expansion of n in k 1.617 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.617 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.618 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.628 * [taylor]: Taking taylor expansion of 0 in k 1.643 * [taylor]: Taking taylor expansion of 0 in k 1.668 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 1.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.668 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.668 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.668 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.670 * [taylor]: Taking taylor expansion of 2.0 in k 1.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.673 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.673 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.673 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.673 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.673 * [taylor]: Taking taylor expansion of 1.0 in n 1.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.674 * [taylor]: Taking taylor expansion of k in n 1.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.674 * [taylor]: Taking taylor expansion of 2.0 in n 1.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.679 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.679 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.679 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.679 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.679 * [taylor]: Taking taylor expansion of 1.0 in n 1.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.679 * [taylor]: Taking taylor expansion of k in n 1.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.684 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.684 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.684 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.684 * [taylor]: Taking taylor expansion of 2.0 in k 1.684 * [taylor]: Taking taylor expansion of PI in k 1.685 * [taylor]: Taking taylor expansion of (log n) in k 1.685 * [taylor]: Taking taylor expansion of n in k 1.685 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.685 * [taylor]: Taking taylor expansion of 1.0 in k 1.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.686 * [taylor]: Taking taylor expansion of k in k 1.710 * [taylor]: Taking taylor expansion of 0 in k 1.734 * [taylor]: Taking taylor expansion of 0 in k 1.774 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 1.774 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 1.774 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 1.775 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 1.775 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.775 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.775 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.775 * [taylor]: Taking taylor expansion of -1 in k 1.775 * [taylor]: Taking taylor expansion of k in k 1.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.776 * [taylor]: Taking taylor expansion of 1.0 in k 1.777 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.777 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.777 * [taylor]: Taking taylor expansion of -2.0 in k 1.777 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.777 * [taylor]: Taking taylor expansion of PI in k 1.777 * [taylor]: Taking taylor expansion of n in k 1.785 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.785 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.786 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.786 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.786 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.786 * [taylor]: Taking taylor expansion of -1 in n 1.786 * [taylor]: Taking taylor expansion of k in n 1.786 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.786 * [taylor]: Taking taylor expansion of 1.0 in n 1.787 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.787 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.787 * [taylor]: Taking taylor expansion of -2.0 in n 1.787 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.787 * [taylor]: Taking taylor expansion of PI in n 1.787 * [taylor]: Taking taylor expansion of n in n 1.791 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.791 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.791 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.791 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.791 * [taylor]: Taking taylor expansion of -1 in n 1.791 * [taylor]: Taking taylor expansion of k in n 1.791 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.792 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.792 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.792 * [taylor]: Taking taylor expansion of -2.0 in n 1.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.792 * [taylor]: Taking taylor expansion of PI in n 1.792 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 1.796 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 1.796 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.797 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.797 * [taylor]: Taking taylor expansion of -1 in k 1.797 * [taylor]: Taking taylor expansion of k in k 1.798 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.799 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.799 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.799 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.799 * [taylor]: Taking taylor expansion of -2.0 in k 1.799 * [taylor]: Taking taylor expansion of PI in k 1.800 * [taylor]: Taking taylor expansion of (log n) in k 1.800 * [taylor]: Taking taylor expansion of n in k 1.817 * [taylor]: Taking taylor expansion of 0 in k 1.842 * [taylor]: Taking taylor expansion of 0 in k 1.891 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.892 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 1.892 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 1.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 1.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 1.892 * [taylor]: Taking taylor expansion of 0.5 in k 1.892 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.892 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.892 * [taylor]: Taking taylor expansion of 1.0 in k 1.893 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.893 * [taylor]: Taking taylor expansion of k in k 1.894 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 1.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.894 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.894 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.894 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.894 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.894 * [taylor]: Taking taylor expansion of k in k 1.895 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.895 * [taylor]: Taking taylor expansion of 1.0 in k 1.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.896 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.896 * [taylor]: Taking taylor expansion of 2.0 in k 1.896 * [taylor]: Taking taylor expansion of (* n PI) in k 1.896 * [taylor]: Taking taylor expansion of n in k 1.896 * [taylor]: Taking taylor expansion of PI in k 1.900 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.901 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.901 * [taylor]: Taking taylor expansion of 0.5 in n 1.901 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.901 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.901 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.902 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.902 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.902 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.903 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.903 * [taylor]: Taking taylor expansion of 2.0 in n 1.903 * [taylor]: Taking taylor expansion of (* n PI) in n 1.903 * [taylor]: Taking taylor expansion of n in n 1.903 * [taylor]: Taking taylor expansion of PI in n 1.912 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.912 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.912 * [taylor]: Taking taylor expansion of 0.5 in n 1.913 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.913 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.913 * [taylor]: Taking taylor expansion of 1.0 in n 1.913 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.913 * [taylor]: Taking taylor expansion of k in n 1.913 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.913 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.913 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.913 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.913 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.913 * [taylor]: Taking taylor expansion of k in n 1.914 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.914 * [taylor]: Taking taylor expansion of 1.0 in n 1.914 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.914 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.914 * [taylor]: Taking taylor expansion of 2.0 in n 1.914 * [taylor]: Taking taylor expansion of (* n PI) in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.914 * [taylor]: Taking taylor expansion of PI in n 1.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 1.924 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 1.924 * [taylor]: Taking taylor expansion of 0.5 in k 1.924 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 1.924 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.924 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.924 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.924 * [taylor]: Taking taylor expansion of 2.0 in k 1.925 * [taylor]: Taking taylor expansion of PI in k 1.925 * [taylor]: Taking taylor expansion of (log n) in k 1.925 * [taylor]: Taking taylor expansion of n in k 1.926 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 1.926 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.926 * [taylor]: Taking taylor expansion of k in k 1.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.927 * [taylor]: Taking taylor expansion of 1.0 in k 1.927 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.927 * [taylor]: Taking taylor expansion of 1.0 in k 1.928 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.928 * [taylor]: Taking taylor expansion of k in k 1.948 * [taylor]: Taking taylor expansion of 0 in k 1.989 * [taylor]: Taking taylor expansion of 0 in k 2.055 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 2.055 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 2.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 2.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 2.055 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 2.055 * [taylor]: Taking taylor expansion of 0.5 in k 2.055 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 2.055 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.055 * [taylor]: Taking taylor expansion of 1.0 in k 2.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.056 * [taylor]: Taking taylor expansion of k in k 2.058 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 2.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 2.058 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.058 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.058 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 2.058 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.058 * [taylor]: Taking taylor expansion of 1.0 in k 2.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.058 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.058 * [taylor]: Taking taylor expansion of k in k 2.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.060 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.060 * [taylor]: Taking taylor expansion of 2.0 in k 2.060 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.060 * [taylor]: Taking taylor expansion of PI in k 2.060 * [taylor]: Taking taylor expansion of n in k 2.076 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 2.076 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 2.076 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 2.076 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 2.076 * [taylor]: Taking taylor expansion of 0.5 in n 2.077 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 2.077 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.077 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.077 * [taylor]: Taking taylor expansion of k in n 2.077 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 2.077 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.077 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.078 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 2.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.078 * [taylor]: Taking taylor expansion of 1.0 in n 2.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.078 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.078 * [taylor]: Taking taylor expansion of k in n 2.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.078 * [taylor]: Taking taylor expansion of 2.0 in n 2.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.079 * [taylor]: Taking taylor expansion of PI in n 2.079 * [taylor]: Taking taylor expansion of n in n 2.087 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 2.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 2.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 2.087 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 2.087 * [taylor]: Taking taylor expansion of 0.5 in n 2.087 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 2.087 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.088 * [taylor]: Taking taylor expansion of k in n 2.088 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 2.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 2.088 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.088 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.088 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 2.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.088 * [taylor]: Taking taylor expansion of 1.0 in n 2.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.089 * [taylor]: Taking taylor expansion of k in n 2.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.089 * [taylor]: Taking taylor expansion of 2.0 in n 2.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.089 * [taylor]: Taking taylor expansion of PI in n 2.089 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 2.098 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 2.098 * [taylor]: Taking taylor expansion of 0.5 in k 2.098 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 2.098 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.098 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.098 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.098 * [taylor]: Taking taylor expansion of 2.0 in k 2.098 * [taylor]: Taking taylor expansion of PI in k 2.099 * [taylor]: Taking taylor expansion of (log n) in k 2.099 * [taylor]: Taking taylor expansion of n in k 2.099 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 2.099 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 2.099 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.099 * [taylor]: Taking taylor expansion of 1.0 in k 2.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.099 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.099 * [taylor]: Taking taylor expansion of k in k 2.101 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 2.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.101 * [taylor]: Taking taylor expansion of 1.0 in k 2.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.101 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of 0 in k 2.238 * [taylor]: Taking taylor expansion of 0 in k 2.372 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 2.372 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 2.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.372 * [taylor]: Taking taylor expansion of 0.5 in k 2.372 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.372 * [taylor]: Taking taylor expansion of 1.0 in k 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.373 * [taylor]: Taking taylor expansion of -1 in k 2.373 * [taylor]: Taking taylor expansion of k in k 2.374 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 2.374 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 2.374 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 2.374 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 2.374 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.374 * [taylor]: Taking taylor expansion of -1 in k 2.374 * [taylor]: Taking taylor expansion of k in k 2.381 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.381 * [taylor]: Taking taylor expansion of 1.0 in k 2.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.382 * [taylor]: Taking taylor expansion of -2.0 in k 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.382 * [taylor]: Taking taylor expansion of PI in k 2.382 * [taylor]: Taking taylor expansion of n in k 2.399 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.399 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.399 * [taylor]: Taking taylor expansion of 0.5 in n 2.399 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.399 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.399 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.399 * [taylor]: Taking taylor expansion of -1 in n 2.399 * [taylor]: Taking taylor expansion of k in n 2.400 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.400 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.400 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.400 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.400 * [taylor]: Taking taylor expansion of -1 in n 2.400 * [taylor]: Taking taylor expansion of k in n 2.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.401 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.401 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.401 * [taylor]: Taking taylor expansion of -2.0 in n 2.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.409 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.409 * [taylor]: Taking taylor expansion of 0.5 in n 2.409 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.409 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.409 * [taylor]: Taking taylor expansion of 1.0 in n 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.410 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.410 * [taylor]: Taking taylor expansion of -1 in n 2.410 * [taylor]: Taking taylor expansion of k in n 2.410 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.410 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.410 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.410 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.410 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.410 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.410 * [taylor]: Taking taylor expansion of -1 in n 2.410 * [taylor]: Taking taylor expansion of k in n 2.410 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.410 * [taylor]: Taking taylor expansion of 1.0 in n 2.411 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.411 * [taylor]: Taking taylor expansion of -2.0 in n 2.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.411 * [taylor]: Taking taylor expansion of PI in n 2.411 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 2.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 2.419 * [taylor]: Taking taylor expansion of 0.5 in k 2.419 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.419 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.420 * [taylor]: Taking taylor expansion of -1 in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.421 * [taylor]: Taking taylor expansion of 1.0 in k 2.422 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.422 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.422 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.422 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.422 * [taylor]: Taking taylor expansion of -2.0 in k 2.422 * [taylor]: Taking taylor expansion of PI in k 2.423 * [taylor]: Taking taylor expansion of (log n) in k 2.423 * [taylor]: Taking taylor expansion of n in k 2.423 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.423 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.423 * [taylor]: Taking taylor expansion of -1 in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.488 * [taylor]: Taking taylor expansion of 0 in k 2.564 * [taylor]: Taking taylor expansion of 0 in k 2.714 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.715 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.715 * [taylor]: Taking taylor expansion of 2.0 in n 2.715 * [taylor]: Taking taylor expansion of (* n PI) in n 2.715 * [taylor]: Taking taylor expansion of n in n 2.715 * [taylor]: Taking taylor expansion of PI in n 2.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.715 * [taylor]: Taking taylor expansion of 2.0 in n 2.715 * [taylor]: Taking taylor expansion of (* n PI) in n 2.715 * [taylor]: Taking taylor expansion of n in n 2.715 * [taylor]: Taking taylor expansion of PI in n 2.728 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.728 * [taylor]: Taking taylor expansion of 2.0 in n 2.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.728 * [taylor]: Taking taylor expansion of PI in n 2.728 * [taylor]: Taking taylor expansion of n in n 2.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.728 * [taylor]: Taking taylor expansion of 2.0 in n 2.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.728 * [taylor]: Taking taylor expansion of PI in n 2.728 * [taylor]: Taking taylor expansion of n in n 2.737 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.737 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.737 * [taylor]: Taking taylor expansion of -2.0 in n 2.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.737 * [taylor]: Taking taylor expansion of PI in n 2.737 * [taylor]: Taking taylor expansion of n in n 2.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.738 * [taylor]: Taking taylor expansion of -2.0 in n 2.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.738 * [taylor]: Taking taylor expansion of PI in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.746 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.747 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.747 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.747 * [taylor]: Taking taylor expansion of 1.0 in k 2.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.747 * [taylor]: Taking taylor expansion of k in k 2.748 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.748 * [taylor]: Taking taylor expansion of 1.0 in k 2.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.748 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.748 * [taylor]: Taking taylor expansion of k in k 2.760 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.760 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.760 * [taylor]: Taking taylor expansion of 1.0 in k 2.760 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.760 * [taylor]: Taking taylor expansion of k in k 2.761 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.761 * [taylor]: Taking taylor expansion of 1.0 in k 2.761 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.761 * [taylor]: Taking taylor expansion of k in k 2.771 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.771 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.771 * [taylor]: Taking taylor expansion of 1.0 in k 2.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.771 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.771 * [taylor]: Taking taylor expansion of -1 in k 2.771 * [taylor]: Taking taylor expansion of k in k 2.773 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.773 * [taylor]: Taking taylor expansion of 1.0 in k 2.773 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.773 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.773 * [taylor]: Taking taylor expansion of -1 in k 2.773 * [taylor]: Taking taylor expansion of k in k 2.785 * * * [progress]: simplifying candidates 2.788 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (log1p (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (expm1 (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (log1p (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) 1) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- 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+nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) 2.871 * * * [progress]: adding candidates to table 3.402 * * [progress]: iteration 3 / 4 3.402 * * * [progress]: picking best candidate 3.429 * * * * [pick]: Picked # 3.430 * * * [progress]: localizing error 3.448 * * * [progress]: generating rewritten candidates 3.448 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 3.465 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.485 * * * [progress]: generating series expansions 3.485 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.487 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.487 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.487 * [taylor]: Taking taylor expansion of 0.5 in n 3.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.487 * [taylor]: Taking taylor expansion of 2.0 in n 3.487 * [taylor]: Taking taylor expansion of (* n PI) in n 3.487 * [taylor]: Taking taylor expansion of n in n 3.487 * [taylor]: Taking taylor expansion of PI in n 3.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.493 * [taylor]: Taking taylor expansion of 0.5 in n 3.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.493 * [taylor]: Taking taylor expansion of 2.0 in n 3.493 * [taylor]: Taking taylor expansion of (* n PI) in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.493 * [taylor]: Taking taylor expansion of PI in n 3.577 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.577 * [taylor]: Taking taylor expansion of 0.5 in n 3.577 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.577 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.577 * [taylor]: Taking taylor expansion of 2.0 in n 3.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.577 * [taylor]: Taking taylor expansion of PI in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.581 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.581 * [taylor]: Taking taylor expansion of 0.5 in n 3.581 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.581 * [taylor]: Taking taylor expansion of 2.0 in n 3.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.581 * [taylor]: Taking taylor expansion of PI in n 3.581 * [taylor]: Taking taylor expansion of n in n 3.663 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.663 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.663 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.663 * [taylor]: Taking taylor expansion of 0.5 in n 3.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.663 * [taylor]: Taking taylor expansion of -2.0 in n 3.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.663 * [taylor]: Taking taylor expansion of PI in n 3.663 * [taylor]: Taking taylor expansion of n in n 3.667 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.667 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.667 * [taylor]: Taking taylor expansion of 0.5 in n 3.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.667 * [taylor]: Taking taylor expansion of -2.0 in n 3.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.667 * [taylor]: Taking taylor expansion of PI in n 3.667 * [taylor]: Taking taylor expansion of n in n 3.747 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.747 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.748 * [taylor]: Taking taylor expansion of 2.0 in n 3.748 * [taylor]: Taking taylor expansion of (* n PI) in n 3.748 * [taylor]: Taking taylor expansion of n in n 3.748 * [taylor]: Taking taylor expansion of PI in n 3.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.748 * [taylor]: Taking taylor expansion of 2.0 in n 3.748 * [taylor]: Taking taylor expansion of (* n PI) in n 3.748 * [taylor]: Taking taylor expansion of n in n 3.748 * [taylor]: Taking taylor expansion of PI in n 3.760 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.760 * [taylor]: Taking taylor expansion of 2.0 in n 3.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.760 * [taylor]: Taking taylor expansion of PI in n 3.760 * [taylor]: Taking taylor expansion of n in n 3.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.761 * [taylor]: Taking taylor expansion of 2.0 in n 3.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.761 * [taylor]: Taking taylor expansion of PI in n 3.761 * [taylor]: Taking taylor expansion of n in n 3.769 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.769 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.769 * [taylor]: Taking taylor expansion of -2.0 in n 3.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.770 * [taylor]: Taking taylor expansion of PI in n 3.770 * [taylor]: Taking taylor expansion of n in n 3.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.770 * [taylor]: Taking taylor expansion of -2.0 in n 3.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.770 * [taylor]: Taking taylor expansion of PI in n 3.770 * [taylor]: Taking taylor expansion of n in n 3.778 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.779 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.779 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.779 * [taylor]: Taking taylor expansion of 2.0 in n 3.779 * [taylor]: Taking taylor expansion of (* n PI) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.779 * [taylor]: Taking taylor expansion of PI in n 3.779 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.779 * [taylor]: Taking taylor expansion of 2.0 in n 3.779 * [taylor]: Taking taylor expansion of (* n PI) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.779 * [taylor]: Taking taylor expansion of PI in n 3.798 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.798 * [taylor]: Taking taylor expansion of 2.0 in n 3.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.798 * [taylor]: Taking taylor expansion of PI in n 3.798 * [taylor]: Taking taylor expansion of n in n 3.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.798 * [taylor]: Taking taylor expansion of 2.0 in n 3.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.798 * [taylor]: Taking taylor expansion of PI in n 3.798 * [taylor]: Taking taylor expansion of n in n 3.808 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.808 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.808 * [taylor]: Taking taylor expansion of -2.0 in n 3.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.808 * [taylor]: Taking taylor expansion of PI in n 3.808 * [taylor]: Taking taylor expansion of n in n 3.808 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.808 * [taylor]: Taking taylor expansion of -2.0 in n 3.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.808 * [taylor]: Taking taylor expansion of PI in n 3.808 * [taylor]: Taking taylor expansion of n in n 3.817 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.818 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.818 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 3.818 * [taylor]: Taking taylor expansion of 1.0 in k 3.818 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.818 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.818 * [taylor]: Taking taylor expansion of k in k 3.820 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.820 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.820 * [taylor]: Taking taylor expansion of 0.5 in k 3.820 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.820 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.820 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.820 * [taylor]: Taking taylor expansion of 1.0 in k 3.820 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.820 * [taylor]: Taking taylor expansion of 2.0 in k 3.822 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.822 * [taylor]: Taking taylor expansion of 1.0 in k 3.822 * [taylor]: Taking taylor expansion of (log n) in k 3.822 * [taylor]: Taking taylor expansion of n in k 3.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.822 * [taylor]: Taking taylor expansion of 1.0 in k 3.822 * [taylor]: Taking taylor expansion of (log PI) in k 3.822 * [taylor]: Taking taylor expansion of PI in k 3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.827 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.828 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.828 * [taylor]: Taking taylor expansion of 0.5 in k 3.828 * [taylor]: Taking taylor expansion of k in k 3.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.828 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.828 * [taylor]: Taking taylor expansion of 2.0 in k 3.828 * [taylor]: Taking taylor expansion of (* n PI) in k 3.828 * [taylor]: Taking taylor expansion of n in k 3.828 * [taylor]: Taking taylor expansion of PI in k 3.830 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.831 * [taylor]: Taking taylor expansion of 1.0 in n 3.831 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.831 * [taylor]: Taking taylor expansion of k in n 3.831 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.831 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.831 * [taylor]: Taking taylor expansion of 0.5 in n 3.831 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.831 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.831 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.831 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.831 * [taylor]: Taking taylor expansion of 1.0 in n 3.831 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.831 * [taylor]: Taking taylor expansion of 2.0 in n 3.833 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.833 * [taylor]: Taking taylor expansion of 1.0 in n 3.833 * [taylor]: Taking taylor expansion of (log n) in n 3.833 * [taylor]: Taking taylor expansion of n in n 3.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.834 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.834 * [taylor]: Taking taylor expansion of 1.0 in n 3.834 * [taylor]: Taking taylor expansion of (log PI) in n 3.834 * [taylor]: Taking taylor expansion of PI in n 3.839 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.839 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.839 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.839 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.839 * [taylor]: Taking taylor expansion of 0.5 in n 3.839 * [taylor]: Taking taylor expansion of k in n 3.839 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.839 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.839 * [taylor]: Taking taylor expansion of 2.0 in n 3.839 * [taylor]: Taking taylor expansion of (* n PI) in n 3.839 * [taylor]: Taking taylor expansion of n in n 3.839 * [taylor]: Taking taylor expansion of PI in n 3.845 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.845 * [taylor]: Taking taylor expansion of 1.0 in n 3.845 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.845 * [taylor]: Taking taylor expansion of k in n 3.846 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.846 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.846 * [taylor]: Taking taylor expansion of 0.5 in n 3.846 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.846 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.846 * [taylor]: Taking taylor expansion of 1.0 in n 3.846 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.846 * [taylor]: Taking taylor expansion of 2.0 in n 3.848 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.848 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.848 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.848 * [taylor]: Taking taylor expansion of 1.0 in n 3.848 * [taylor]: Taking taylor expansion of (log n) in n 3.848 * [taylor]: Taking taylor expansion of n in n 3.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.848 * [taylor]: Taking taylor expansion of 1.0 in n 3.848 * [taylor]: Taking taylor expansion of (log PI) in n 3.848 * [taylor]: Taking taylor expansion of PI in n 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.854 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.854 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.854 * [taylor]: Taking taylor expansion of 0.5 in n 3.854 * [taylor]: Taking taylor expansion of k in n 3.854 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.854 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.854 * [taylor]: Taking taylor expansion of 2.0 in n 3.854 * [taylor]: Taking taylor expansion of (* n PI) in n 3.854 * [taylor]: Taking taylor expansion of n in n 3.854 * [taylor]: Taking taylor expansion of PI in n 3.865 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.865 * [taylor]: Taking taylor expansion of 1.0 in k 3.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.865 * [taylor]: Taking taylor expansion of k in k 3.867 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.867 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.867 * [taylor]: Taking taylor expansion of 0.5 in k 3.867 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.867 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.867 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.867 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.867 * [taylor]: Taking taylor expansion of 1.0 in k 3.867 * [taylor]: Taking taylor expansion of (log PI) in k 3.867 * [taylor]: Taking taylor expansion of PI in k 3.869 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.869 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.869 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.869 * [taylor]: Taking taylor expansion of 1.0 in k 3.869 * [taylor]: Taking taylor expansion of (log n) in k 3.869 * [taylor]: Taking taylor expansion of n in k 3.869 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.869 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.869 * [taylor]: Taking taylor expansion of 1.0 in k 3.869 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.869 * [taylor]: Taking taylor expansion of 2.0 in k 3.874 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.875 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.875 * [taylor]: Taking taylor expansion of 0.5 in k 3.875 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.875 * [taylor]: Taking taylor expansion of k in k 3.875 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.875 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.875 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.875 * [taylor]: Taking taylor expansion of 2.0 in k 3.875 * [taylor]: Taking taylor expansion of PI in k 3.876 * [taylor]: Taking taylor expansion of (log n) in k 3.876 * [taylor]: Taking taylor expansion of n in k 3.912 * [taylor]: Taking taylor expansion of 0 in k 3.965 * [taylor]: Taking taylor expansion of 0 in k 4.071 * [taylor]: Taking taylor expansion of 0 in k 4.197 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 4.197 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.197 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.197 * [taylor]: Taking taylor expansion of k in k 4.198 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.198 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.198 * [taylor]: Taking taylor expansion of 0.5 in k 4.198 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.198 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.198 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.198 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.198 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.198 * [taylor]: Taking taylor expansion of 1.0 in k 4.198 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.198 * [taylor]: Taking taylor expansion of 2.0 in k 4.200 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.200 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.200 * [taylor]: Taking taylor expansion of 1.0 in k 4.200 * [taylor]: Taking taylor expansion of (log PI) in k 4.200 * [taylor]: Taking taylor expansion of PI in k 4.202 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.202 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.202 * [taylor]: Taking taylor expansion of 1.0 in k 4.202 * [taylor]: Taking taylor expansion of (log n) in k 4.202 * [taylor]: Taking taylor expansion of n in k 4.208 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.208 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.208 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.208 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.208 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.208 * [taylor]: Taking taylor expansion of 0.5 in k 4.209 * [taylor]: Taking taylor expansion of k in k 4.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.209 * [taylor]: Taking taylor expansion of 2.0 in k 4.209 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.209 * [taylor]: Taking taylor expansion of PI in k 4.209 * [taylor]: Taking taylor expansion of n in k 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.209 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.209 * [taylor]: Taking taylor expansion of k in n 4.209 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.209 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.209 * [taylor]: Taking taylor expansion of 0.5 in n 4.210 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.210 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.210 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.210 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.210 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.210 * [taylor]: Taking taylor expansion of 1.0 in n 4.210 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.210 * [taylor]: Taking taylor expansion of 2.0 in n 4.211 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.211 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.211 * [taylor]: Taking taylor expansion of 1.0 in n 4.211 * [taylor]: Taking taylor expansion of (log PI) in n 4.211 * [taylor]: Taking taylor expansion of PI in n 4.213 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.214 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.214 * [taylor]: Taking taylor expansion of 1.0 in n 4.214 * [taylor]: Taking taylor expansion of (log n) in n 4.214 * [taylor]: Taking taylor expansion of n in n 4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.221 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.221 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.221 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.221 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.221 * [taylor]: Taking taylor expansion of 0.5 in n 4.221 * [taylor]: Taking taylor expansion of k in n 4.221 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.221 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.221 * [taylor]: Taking taylor expansion of 2.0 in n 4.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.221 * [taylor]: Taking taylor expansion of PI in n 4.221 * [taylor]: Taking taylor expansion of n in n 4.225 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.225 * [taylor]: Taking taylor expansion of 1.0 in n 4.225 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.225 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.225 * [taylor]: Taking taylor expansion of k in n 4.225 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.225 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.225 * [taylor]: Taking taylor expansion of 0.5 in n 4.225 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.225 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.225 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.225 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.225 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.225 * [taylor]: Taking taylor expansion of 1.0 in n 4.225 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.225 * [taylor]: Taking taylor expansion of 2.0 in n 4.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.227 * [taylor]: Taking taylor expansion of 1.0 in n 4.227 * [taylor]: Taking taylor expansion of (log PI) in n 4.227 * [taylor]: Taking taylor expansion of PI in n 4.229 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.229 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.229 * [taylor]: Taking taylor expansion of 1.0 in n 4.229 * [taylor]: Taking taylor expansion of (log n) in n 4.229 * [taylor]: Taking taylor expansion of n in n 4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.236 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.236 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.236 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.236 * [taylor]: Taking taylor expansion of 0.5 in n 4.236 * [taylor]: Taking taylor expansion of k in n 4.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.236 * [taylor]: Taking taylor expansion of 2.0 in n 4.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.236 * [taylor]: Taking taylor expansion of PI in n 4.237 * [taylor]: Taking taylor expansion of n in n 4.252 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 4.252 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.253 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 4.253 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.254 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.254 * [taylor]: Taking taylor expansion of 0.5 in k 4.254 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.254 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.254 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.254 * [taylor]: Taking taylor expansion of 1.0 in k 4.254 * [taylor]: Taking taylor expansion of (log PI) in k 4.254 * [taylor]: Taking taylor expansion of PI in k 4.256 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.256 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.256 * [taylor]: Taking taylor expansion of 1.0 in k 4.256 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.256 * [taylor]: Taking taylor expansion of 2.0 in k 4.257 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.257 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.257 * [taylor]: Taking taylor expansion of 1.0 in k 4.257 * [taylor]: Taking taylor expansion of (log n) in k 4.257 * [taylor]: Taking taylor expansion of n in k 4.264 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.264 * [taylor]: Taking taylor expansion of 0.5 in k 4.264 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.264 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.264 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.264 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.264 * [taylor]: Taking taylor expansion of 2.0 in k 4.264 * [taylor]: Taking taylor expansion of PI in k 4.265 * [taylor]: Taking taylor expansion of (log n) in k 4.265 * [taylor]: Taking taylor expansion of n in k 4.265 * [taylor]: Taking taylor expansion of k in k 4.298 * [taylor]: Taking taylor expansion of 0 in k 4.361 * [taylor]: Taking taylor expansion of 0 in k 4.445 * [taylor]: Taking taylor expansion of 0 in k 4.496 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.496 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.496 * [taylor]: Taking taylor expansion of 1.0 in k 4.496 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.496 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.496 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.496 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.496 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.496 * [taylor]: Taking taylor expansion of -1 in k 4.496 * [taylor]: Taking taylor expansion of k in k 4.504 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.504 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.504 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.504 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.504 * [taylor]: Taking taylor expansion of -0.5 in k 4.504 * [taylor]: Taking taylor expansion of k in k 4.504 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.505 * [taylor]: Taking taylor expansion of -2.0 in k 4.505 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.505 * [taylor]: Taking taylor expansion of PI in k 4.505 * [taylor]: Taking taylor expansion of n in k 4.505 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.505 * [taylor]: Taking taylor expansion of 0.5 in k 4.506 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.506 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.506 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.506 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.506 * [taylor]: Taking taylor expansion of 1.0 in k 4.506 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.506 * [taylor]: Taking taylor expansion of -2.0 in k 4.507 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.508 * [taylor]: Taking taylor expansion of 1.0 in k 4.508 * [taylor]: Taking taylor expansion of (log PI) in k 4.508 * [taylor]: Taking taylor expansion of PI in k 4.509 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.509 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.509 * [taylor]: Taking taylor expansion of 1.0 in k 4.509 * [taylor]: Taking taylor expansion of (log n) in k 4.509 * [taylor]: Taking taylor expansion of n in k 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.516 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.516 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.516 * [taylor]: Taking taylor expansion of -1 in n 4.516 * [taylor]: Taking taylor expansion of k in n 4.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.516 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.516 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.516 * [taylor]: Taking taylor expansion of -0.5 in n 4.517 * [taylor]: Taking taylor expansion of k in n 4.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.517 * [taylor]: Taking taylor expansion of -2.0 in n 4.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.517 * [taylor]: Taking taylor expansion of PI in n 4.517 * [taylor]: Taking taylor expansion of n in n 4.522 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.522 * [taylor]: Taking taylor expansion of 0.5 in n 4.522 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.522 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.522 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.522 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.522 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.522 * [taylor]: Taking taylor expansion of 1.0 in n 4.522 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.522 * [taylor]: Taking taylor expansion of -2.0 in n 4.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.524 * [taylor]: Taking taylor expansion of 1.0 in n 4.524 * [taylor]: Taking taylor expansion of (log PI) in n 4.524 * [taylor]: Taking taylor expansion of PI in n 4.526 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.526 * [taylor]: Taking taylor expansion of 1.0 in n 4.526 * [taylor]: Taking taylor expansion of (log n) in n 4.526 * [taylor]: Taking taylor expansion of n in n 4.533 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.533 * [taylor]: Taking taylor expansion of 1.0 in n 4.533 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.533 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.533 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.533 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.533 * [taylor]: Taking taylor expansion of -1 in n 4.533 * [taylor]: Taking taylor expansion of k in n 4.533 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.533 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.533 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.533 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.533 * [taylor]: Taking taylor expansion of -0.5 in n 4.533 * [taylor]: Taking taylor expansion of k in n 4.533 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.533 * [taylor]: Taking taylor expansion of -2.0 in n 4.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.533 * [taylor]: Taking taylor expansion of n in n 4.538 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.539 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.539 * [taylor]: Taking taylor expansion of 0.5 in n 4.539 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.539 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.539 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.539 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.539 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.539 * [taylor]: Taking taylor expansion of 1.0 in n 4.539 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.539 * [taylor]: Taking taylor expansion of -2.0 in n 4.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.540 * [taylor]: Taking taylor expansion of 1.0 in n 4.541 * [taylor]: Taking taylor expansion of (log PI) in n 4.541 * [taylor]: Taking taylor expansion of PI in n 4.542 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.542 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.542 * [taylor]: Taking taylor expansion of 1.0 in n 4.542 * [taylor]: Taking taylor expansion of (log n) in n 4.542 * [taylor]: Taking taylor expansion of n in n 4.554 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.554 * [taylor]: Taking taylor expansion of 1.0 in k 4.554 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.554 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.554 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.554 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.554 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.554 * [taylor]: Taking taylor expansion of -0.5 in k 4.554 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.554 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.554 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.554 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.554 * [taylor]: Taking taylor expansion of -2.0 in k 4.554 * [taylor]: Taking taylor expansion of PI in k 4.555 * [taylor]: Taking taylor expansion of (log n) in k 4.555 * [taylor]: Taking taylor expansion of n in k 4.555 * [taylor]: Taking taylor expansion of k in k 4.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.558 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.558 * [taylor]: Taking taylor expansion of -1 in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.562 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.562 * [taylor]: Taking taylor expansion of 0.5 in k 4.562 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.562 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.562 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.562 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.562 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.562 * [taylor]: Taking taylor expansion of 1.0 in k 4.562 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.562 * [taylor]: Taking taylor expansion of -2.0 in k 4.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.564 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.564 * [taylor]: Taking taylor expansion of 1.0 in k 4.564 * [taylor]: Taking taylor expansion of (log PI) in k 4.564 * [taylor]: Taking taylor expansion of PI in k 4.566 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.566 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.566 * [taylor]: Taking taylor expansion of 1.0 in k 4.566 * [taylor]: Taking taylor expansion of (log n) in k 4.566 * [taylor]: Taking taylor expansion of n in k 4.612 * [taylor]: Taking taylor expansion of 0 in k 4.673 * [taylor]: Taking taylor expansion of 0 in k 4.726 * * * [progress]: simplifying candidates 4.729 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 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n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) 4.832 * * * [progress]: adding candidates to table 5.075 * * [progress]: iteration 4 / 4 5.075 * * * [progress]: picking best candidate 5.100 * * * * [pick]: Picked # 5.101 * * * [progress]: localizing error 5.119 * * * [progress]: generating rewritten candidates 5.119 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.126 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.131 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.136 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.148 * * * [progress]: generating series expansions 5.148 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.149 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.150 * [taylor]: Taking taylor expansion of 0.5 in n 5.150 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.150 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.150 * [taylor]: Taking taylor expansion of 2.0 in n 5.150 * [taylor]: Taking taylor expansion of (* n PI) in n 5.150 * [taylor]: Taking taylor expansion of n in n 5.150 * [taylor]: Taking taylor expansion of PI in n 5.155 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.155 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.155 * [taylor]: Taking taylor expansion of 0.5 in n 5.155 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.155 * [taylor]: Taking taylor expansion of 2.0 in n 5.155 * [taylor]: Taking taylor expansion of (* n PI) in n 5.155 * [taylor]: Taking taylor expansion of n in n 5.155 * [taylor]: Taking taylor expansion of PI in n 5.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.242 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.242 * [taylor]: Taking taylor expansion of 0.5 in n 5.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.242 * [taylor]: Taking taylor expansion of 2.0 in n 5.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.242 * [taylor]: Taking taylor expansion of PI in n 5.242 * [taylor]: Taking taylor expansion of n in n 5.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.246 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.246 * [taylor]: Taking taylor expansion of 0.5 in n 5.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.246 * [taylor]: Taking taylor expansion of 2.0 in n 5.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.246 * [taylor]: Taking taylor expansion of PI in n 5.246 * [taylor]: Taking taylor expansion of n in n 5.328 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.328 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.328 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.328 * [taylor]: Taking taylor expansion of 0.5 in n 5.328 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.328 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.328 * [taylor]: Taking taylor expansion of -2.0 in n 5.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.328 * [taylor]: Taking taylor expansion of PI in n 5.328 * [taylor]: Taking taylor expansion of n in n 5.331 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.331 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.331 * [taylor]: Taking taylor expansion of 0.5 in n 5.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.331 * [taylor]: Taking taylor expansion of -2.0 in n 5.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.331 * [taylor]: Taking taylor expansion of PI in n 5.331 * [taylor]: Taking taylor expansion of n in n 5.412 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.412 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.412 * [taylor]: Taking taylor expansion of 2.0 in n 5.412 * [taylor]: Taking taylor expansion of (* n PI) in n 5.412 * [taylor]: Taking taylor expansion of n in n 5.412 * [taylor]: Taking taylor expansion of PI in n 5.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.412 * [taylor]: Taking taylor expansion of 2.0 in n 5.412 * [taylor]: Taking taylor expansion of (* n PI) in n 5.412 * [taylor]: Taking taylor expansion of n in n 5.413 * [taylor]: Taking taylor expansion of PI in n 5.425 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.425 * [taylor]: Taking taylor expansion of 2.0 in n 5.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.425 * [taylor]: Taking taylor expansion of PI in n 5.425 * [taylor]: Taking taylor expansion of n in n 5.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.425 * [taylor]: Taking taylor expansion of 2.0 in n 5.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.425 * [taylor]: Taking taylor expansion of PI in n 5.425 * [taylor]: Taking taylor expansion of n in n 5.434 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.434 * [taylor]: Taking taylor expansion of -2.0 in n 5.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.434 * [taylor]: Taking taylor expansion of PI in n 5.434 * [taylor]: Taking taylor expansion of n in n 5.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.434 * [taylor]: Taking taylor expansion of -2.0 in n 5.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.434 * [taylor]: Taking taylor expansion of PI in n 5.434 * [taylor]: Taking taylor expansion of n in n 5.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.443 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.443 * [taylor]: Taking taylor expansion of 2.0 in n 5.443 * [taylor]: Taking taylor expansion of (* n PI) in n 5.443 * [taylor]: Taking taylor expansion of n in n 5.443 * [taylor]: Taking taylor expansion of PI in n 5.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.444 * [taylor]: Taking taylor expansion of 2.0 in n 5.444 * [taylor]: Taking taylor expansion of (* n PI) in n 5.444 * [taylor]: Taking taylor expansion of n in n 5.444 * [taylor]: Taking taylor expansion of PI in n 5.455 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.456 * [taylor]: Taking taylor expansion of 2.0 in n 5.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.456 * [taylor]: Taking taylor expansion of PI in n 5.456 * [taylor]: Taking taylor expansion of n in n 5.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.456 * [taylor]: Taking taylor expansion of 2.0 in n 5.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.456 * [taylor]: Taking taylor expansion of PI in n 5.456 * [taylor]: Taking taylor expansion of n in n 5.471 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.472 * [taylor]: Taking taylor expansion of -2.0 in n 5.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.472 * [taylor]: Taking taylor expansion of PI in n 5.472 * [taylor]: Taking taylor expansion of n in n 5.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.472 * [taylor]: Taking taylor expansion of -2.0 in n 5.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.472 * [taylor]: Taking taylor expansion of PI in n 5.472 * [taylor]: Taking taylor expansion of n in n 5.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.481 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.481 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.481 * [taylor]: Taking taylor expansion of 1.0 in k 5.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.481 * [taylor]: Taking taylor expansion of k in k 5.482 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.482 * [taylor]: Taking taylor expansion of 1.0 in k 5.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.482 * [taylor]: Taking taylor expansion of k in k 5.494 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.494 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.494 * [taylor]: Taking taylor expansion of 1.0 in k 5.494 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.494 * [taylor]: Taking taylor expansion of k in k 5.495 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.495 * [taylor]: Taking taylor expansion of 1.0 in k 5.495 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.495 * [taylor]: Taking taylor expansion of k in k 5.505 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.505 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.505 * [taylor]: Taking taylor expansion of 1.0 in k 5.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.505 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.505 * [taylor]: Taking taylor expansion of -1 in k 5.505 * [taylor]: Taking taylor expansion of k in k 5.507 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.507 * [taylor]: Taking taylor expansion of 1.0 in k 5.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.507 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.507 * [taylor]: Taking taylor expansion of -1 in k 5.507 * [taylor]: Taking taylor expansion of k in k 5.519 * * * [progress]: simplifying candidates 5.521 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 5.528 * * [simplify]: iteration 0 : 447 enodes (cost 593 ) 5.536 * * [simplify]: iteration 1 : 1634 enodes (cost 533 ) 5.567 * * [simplify]: iteration 2 : 5001 enodes (cost 520 ) 5.571 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 5.572 * * * [progress]: adding candidates to table 5.845 * [progress]: [Phase 3 of 3] Extracting. 5.845 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.849 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.849 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.895 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.947 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.993 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.039 * * * [regime]: Found split indices: #