11.287 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.210 * * * [progress]: [2/2] Setting up program. 0.213 * [progress]: [Phase 2 of 3] Improving. 0.213 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.216 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.217 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.219 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.221 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.227 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.249 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.249 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.249 * * [progress]: iteration 1 / 4 0.249 * * * [progress]: picking best candidate 0.252 * * * * [pick]: Picked # 0.252 * * * [progress]: localizing error 0.266 * * * [progress]: generating rewritten candidates 0.266 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.275 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.280 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.305 * * * [progress]: generating series expansions 0.305 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.306 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.306 * [taylor]: Taking taylor expansion of 0.5 in k 0.306 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.306 * [taylor]: Taking taylor expansion of 2.0 in k 0.306 * [taylor]: Taking taylor expansion of (* n PI) in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of PI in k 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 0.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.313 * [taylor]: Taking taylor expansion of 0.5 in n 0.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of k in n 0.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.313 * [taylor]: Taking taylor expansion of (* n PI) in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.318 * [taylor]: Taking taylor expansion of 0.5 in k 0.318 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.318 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.318 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.318 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.318 * [taylor]: Taking taylor expansion of 2.0 in k 0.318 * [taylor]: Taking taylor expansion of PI in k 0.319 * [taylor]: Taking taylor expansion of (log n) in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.329 * [taylor]: Taking taylor expansion of 0 in k 0.345 * [taylor]: Taking taylor expansion of 0 in k 0.364 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.364 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.364 * [taylor]: Taking taylor expansion of 0.5 in k 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.364 * [taylor]: Taking taylor expansion of 2.0 in k 0.364 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.364 * [taylor]: Taking taylor expansion of PI in k 0.364 * [taylor]: Taking taylor expansion of n in k 0.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.365 * [taylor]: Taking taylor expansion of 0.5 in n 0.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.365 * [taylor]: Taking taylor expansion of 1.0 in n 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.365 * [taylor]: Taking taylor expansion of k in n 0.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.365 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.366 * [taylor]: Taking taylor expansion of 2.0 in n 0.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.366 * [taylor]: Taking taylor expansion of PI in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.369 * [taylor]: Taking taylor expansion of 0.5 in n 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.369 * [taylor]: Taking taylor expansion of 1.0 in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.369 * [taylor]: Taking taylor expansion of k in n 0.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.370 * [taylor]: Taking taylor expansion of 2.0 in n 0.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.370 * [taylor]: Taking taylor expansion of PI in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.373 * [taylor]: Taking taylor expansion of 0.5 in k 0.373 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.373 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.373 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.373 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.373 * [taylor]: Taking taylor expansion of 2.0 in k 0.373 * [taylor]: Taking taylor expansion of PI in k 0.374 * [taylor]: Taking taylor expansion of (log n) in k 0.374 * [taylor]: Taking taylor expansion of n in k 0.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.391 * [taylor]: Taking taylor expansion of 0 in k 0.398 * [taylor]: Taking taylor expansion of 0 in k 0.407 * [taylor]: Taking taylor expansion of 0 in k 0.408 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.408 * [taylor]: Taking taylor expansion of 0.5 in k 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.409 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.409 * [taylor]: Taking taylor expansion of -2.0 in k 0.409 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.409 * [taylor]: Taking taylor expansion of PI in k 0.409 * [taylor]: Taking taylor expansion of n in k 0.410 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.410 * [taylor]: Taking taylor expansion of 0.5 in n 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.410 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.410 * [taylor]: Taking taylor expansion of k in n 0.410 * [taylor]: Taking taylor expansion of 1.0 in n 0.410 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.410 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.410 * [taylor]: Taking taylor expansion of -2.0 in n 0.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.414 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.414 * [taylor]: Taking taylor expansion of 0.5 in n 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.414 * [taylor]: Taking taylor expansion of k in n 0.414 * [taylor]: Taking taylor expansion of 1.0 in n 0.414 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.414 * [taylor]: Taking taylor expansion of -2.0 in n 0.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.414 * [taylor]: Taking taylor expansion of PI in n 0.414 * [taylor]: Taking taylor expansion of n in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.418 * [taylor]: Taking taylor expansion of 0.5 in k 0.418 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.418 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of 1.0 in k 0.418 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.418 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.418 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.418 * [taylor]: Taking taylor expansion of -2.0 in k 0.418 * [taylor]: Taking taylor expansion of PI in k 0.419 * [taylor]: Taking taylor expansion of (log n) in k 0.419 * [taylor]: Taking taylor expansion of n in k 0.428 * [taylor]: Taking taylor expansion of 0 in k 0.435 * [taylor]: Taking taylor expansion of 0 in k 0.444 * [taylor]: Taking taylor expansion of 0 in k 0.445 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.445 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.445 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (* n PI) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (* n PI) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.458 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.458 * [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 0.482 * [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 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.496 * [taylor]: Taking taylor expansion of 1.0 in k 0.496 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.496 * [taylor]: Taking taylor expansion of k in k 0.506 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.507 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.507 * [taylor]: Taking taylor expansion of 1.0 in k 0.507 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.507 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.507 * [taylor]: Taking taylor expansion of -1 in k 0.507 * [taylor]: Taking taylor expansion of k in k 0.508 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.508 * [taylor]: Taking taylor expansion of 1.0 in k 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.508 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.508 * [taylor]: Taking taylor expansion of -1 in k 0.508 * [taylor]: Taking taylor expansion of k in k 0.520 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.520 * [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 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.521 * [taylor]: Taking taylor expansion of k in n 0.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.521 * [taylor]: Taking taylor expansion of 0.5 in n 0.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of k in n 0.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.521 * [taylor]: Taking taylor expansion of 2.0 in n 0.521 * [taylor]: Taking taylor expansion of (* n PI) in n 0.521 * [taylor]: Taking taylor expansion of n in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.526 * [taylor]: Taking taylor expansion of 1.0 in k 0.526 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.526 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.526 * [taylor]: Taking taylor expansion of k in k 0.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.528 * [taylor]: Taking taylor expansion of 0.5 in k 0.528 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.528 * [taylor]: Taking taylor expansion of 1.0 in k 0.528 * [taylor]: Taking taylor expansion of k in k 0.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.528 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.528 * [taylor]: Taking taylor expansion of 2.0 in k 0.528 * [taylor]: Taking taylor expansion of (* n PI) in k 0.528 * [taylor]: Taking taylor expansion of n in k 0.528 * [taylor]: Taking taylor expansion of PI in k 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.529 * [taylor]: Taking taylor expansion of 1.0 in k 0.529 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.529 * [taylor]: Taking taylor expansion of k in k 0.530 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.530 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.530 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.530 * [taylor]: Taking taylor expansion of 0.5 in k 0.530 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.530 * [taylor]: Taking taylor expansion of 1.0 in k 0.530 * [taylor]: Taking taylor expansion of k in k 0.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.530 * [taylor]: Taking taylor expansion of 2.0 in k 0.530 * [taylor]: Taking taylor expansion of (* n PI) in k 0.530 * [taylor]: Taking taylor expansion of n in k 0.530 * [taylor]: Taking taylor expansion of PI in k 0.532 * [taylor]: Taking taylor expansion of 0 in n 0.537 * [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 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of +nan.0 in n 0.537 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.537 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log PI) in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.540 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log n) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.565 * [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 0.565 * [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 0.565 * [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 0.565 * [taylor]: Taking taylor expansion of +nan.0 in n 0.565 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.565 * [taylor]: Taking taylor expansion of 0.5 in n 0.565 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.567 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.567 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of (log n) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.568 * [taylor]: Taking taylor expansion of 2.0 in n 0.573 * [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 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of +nan.0 in n 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.574 * [taylor]: Taking taylor expansion of 0.5 in n 0.574 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.574 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.576 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log PI) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [taylor]: Taking taylor expansion of (* n PI) in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.582 * [taylor]: Taking taylor expansion of PI in n 0.631 * [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 0.631 * [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 0.631 * [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 0.631 * [taylor]: Taking taylor expansion of +nan.0 in n 0.631 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.631 * [taylor]: Taking taylor expansion of 0.5 in n 0.631 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.631 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.631 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.631 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.633 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.633 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (log n) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (log PI) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.639 * [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 0.639 * [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 0.639 * [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 0.639 * [taylor]: Taking taylor expansion of +nan.0 in n 0.640 * [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 0.640 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.640 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.640 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.640 * [taylor]: Taking taylor expansion of 2.0 in n 0.641 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.641 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.642 * [taylor]: Taking taylor expansion of 1.0 in n 0.642 * [taylor]: Taking taylor expansion of (log PI) in n 0.642 * [taylor]: Taking taylor expansion of PI in n 0.649 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.649 * [taylor]: Taking taylor expansion of 1.0 in n 0.649 * [taylor]: Taking taylor expansion of (log n) in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.653 * [taylor]: Taking taylor expansion of 2.0 in n 0.653 * [taylor]: Taking taylor expansion of (* n PI) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of PI in n 0.656 * [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 0.656 * [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 0.656 * [taylor]: Taking taylor expansion of +nan.0 in n 0.656 * [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 0.656 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.656 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.656 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.657 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.658 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.658 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of (log PI) in n 0.658 * [taylor]: Taking taylor expansion of PI in n 0.660 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.660 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (log n) in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.665 * [taylor]: Taking taylor expansion of 2.0 in n 0.665 * [taylor]: Taking taylor expansion of (* n PI) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of PI in n 0.743 * [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 0.743 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.743 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.744 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.744 * [taylor]: Taking taylor expansion of 0.5 in n 0.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.744 * [taylor]: Taking taylor expansion of 1.0 in n 0.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.744 * [taylor]: Taking taylor expansion of k in n 0.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.744 * [taylor]: Taking taylor expansion of 2.0 in n 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.744 * [taylor]: Taking taylor expansion of PI in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.747 * [taylor]: Taking taylor expansion of 1.0 in k 0.747 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.747 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.749 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.749 * [taylor]: Taking taylor expansion of 0.5 in k 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.749 * [taylor]: Taking taylor expansion of 1.0 in k 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.749 * [taylor]: Taking taylor expansion of k in k 0.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.749 * [taylor]: Taking taylor expansion of 2.0 in k 0.749 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.749 * [taylor]: Taking taylor expansion of PI in k 0.749 * [taylor]: Taking taylor expansion of n in k 0.750 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.750 * [taylor]: Taking taylor expansion of 1.0 in k 0.750 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.750 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.750 * [taylor]: Taking taylor expansion of k in k 0.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.751 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.751 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.751 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.751 * [taylor]: Taking taylor expansion of 0.5 in k 0.751 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.751 * [taylor]: Taking taylor expansion of 1.0 in k 0.751 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.751 * [taylor]: Taking taylor expansion of k in k 0.752 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.752 * [taylor]: Taking taylor expansion of 2.0 in k 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.752 * [taylor]: Taking taylor expansion of PI in k 0.752 * [taylor]: Taking taylor expansion of n in k 0.753 * [taylor]: Taking taylor expansion of 0 in n 0.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.754 * [taylor]: Taking taylor expansion of +nan.0 in n 0.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.754 * [taylor]: Taking taylor expansion of 0.5 in n 0.754 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.754 * [taylor]: Taking taylor expansion of 2.0 in n 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.754 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.755 * [taylor]: Taking taylor expansion of k in n 0.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.764 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.764 * [taylor]: Taking taylor expansion of +nan.0 in n 0.764 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.764 * [taylor]: Taking taylor expansion of 0.5 in n 0.764 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.764 * [taylor]: Taking taylor expansion of 2.0 in n 0.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.764 * [taylor]: Taking taylor expansion of PI in n 0.764 * [taylor]: Taking taylor expansion of n in n 0.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.765 * [taylor]: Taking taylor expansion of k in n 0.782 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.782 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.782 * [taylor]: Taking taylor expansion of +nan.0 in n 0.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.782 * [taylor]: Taking taylor expansion of 0.5 in n 0.782 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.782 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.782 * [taylor]: Taking taylor expansion of 2.0 in n 0.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.782 * [taylor]: Taking taylor expansion of PI in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.784 * [taylor]: Taking taylor expansion of 1.0 in n 0.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.784 * [taylor]: Taking taylor expansion of k in n 0.792 * [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 0.792 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.792 * [taylor]: Taking taylor expansion of 1.0 in n 0.792 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.792 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.792 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.792 * [taylor]: Taking taylor expansion of 0.5 in n 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.792 * [taylor]: Taking taylor expansion of k in n 0.792 * [taylor]: Taking taylor expansion of 1.0 in n 0.792 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.792 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.792 * [taylor]: Taking taylor expansion of -2.0 in n 0.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.793 * [taylor]: Taking taylor expansion of PI in n 0.793 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.796 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.796 * [taylor]: Taking taylor expansion of -1 in n 0.796 * [taylor]: Taking taylor expansion of k in n 0.797 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.797 * [taylor]: Taking taylor expansion of 1.0 in k 0.797 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.797 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.797 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.797 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.797 * [taylor]: Taking taylor expansion of 0.5 in k 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.797 * [taylor]: Taking taylor expansion of k in k 0.798 * [taylor]: Taking taylor expansion of 1.0 in k 0.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.798 * [taylor]: Taking taylor expansion of -2.0 in k 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.798 * [taylor]: Taking taylor expansion of PI in k 0.798 * [taylor]: Taking taylor expansion of n in k 0.798 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.798 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.798 * [taylor]: Taking taylor expansion of -1 in k 0.798 * [taylor]: Taking taylor expansion of k in k 0.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.800 * [taylor]: Taking taylor expansion of 1.0 in k 0.800 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.800 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.800 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.800 * [taylor]: Taking taylor expansion of 0.5 in k 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.800 * [taylor]: Taking taylor expansion of k in k 0.800 * [taylor]: Taking taylor expansion of 1.0 in k 0.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.800 * [taylor]: Taking taylor expansion of -2.0 in k 0.800 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.800 * [taylor]: Taking taylor expansion of PI in k 0.800 * [taylor]: Taking taylor expansion of n in k 0.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.801 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.801 * [taylor]: Taking taylor expansion of -1 in k 0.801 * [taylor]: Taking taylor expansion of k in k 0.803 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.803 * [taylor]: Taking taylor expansion of +nan.0 in n 0.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.803 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.803 * [taylor]: Taking taylor expansion of 0.5 in n 0.803 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.803 * [taylor]: Taking taylor expansion of k in n 0.803 * [taylor]: Taking taylor expansion of 1.0 in n 0.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.803 * [taylor]: Taking taylor expansion of -2.0 in n 0.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.803 * [taylor]: Taking taylor expansion of PI in n 0.803 * [taylor]: Taking taylor expansion of n in n 0.812 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.812 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.812 * [taylor]: Taking taylor expansion of +nan.0 in n 0.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.812 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.813 * [taylor]: Taking taylor expansion of 0.5 in n 0.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.813 * [taylor]: Taking taylor expansion of k in n 0.813 * [taylor]: Taking taylor expansion of 1.0 in n 0.813 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.813 * [taylor]: Taking taylor expansion of -2.0 in n 0.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.813 * [taylor]: Taking taylor expansion of PI in n 0.813 * [taylor]: Taking taylor expansion of n in n 0.836 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.836 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.836 * [taylor]: Taking taylor expansion of +nan.0 in n 0.836 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.836 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.836 * [taylor]: Taking taylor expansion of 0.5 in n 0.836 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.836 * [taylor]: Taking taylor expansion of k in n 0.836 * [taylor]: Taking taylor expansion of 1.0 in n 0.836 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.836 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.836 * [taylor]: Taking taylor expansion of -2.0 in n 0.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.836 * [taylor]: Taking taylor expansion of PI in n 0.836 * [taylor]: Taking taylor expansion of n in n 0.846 * * * [progress]: simplifying candidates 0.848 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.945 * * * [progress]: adding candidates to table 1.324 * * [progress]: iteration 2 / 4 1.324 * * * [progress]: picking best candidate 1.355 * * * * [pick]: Picked # 1.355 * * * [progress]: localizing error 1.381 * * * [progress]: generating rewritten candidates 1.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.404 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.418 * * * [progress]: generating series expansions 1.418 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.419 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 1.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.419 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.419 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.419 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.419 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.419 * [taylor]: Taking taylor expansion of k in k 1.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.421 * [taylor]: Taking taylor expansion of 2.0 in k 1.421 * [taylor]: Taking taylor expansion of (* n PI) in k 1.421 * [taylor]: Taking taylor expansion of n in k 1.421 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.423 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.423 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.423 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.423 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.423 * [taylor]: Taking taylor expansion of k in n 1.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.423 * [taylor]: Taking taylor expansion of 1.0 in n 1.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.423 * [taylor]: Taking taylor expansion of 2.0 in n 1.423 * [taylor]: Taking taylor expansion of (* n PI) in n 1.424 * [taylor]: Taking taylor expansion of n in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.430 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.430 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.430 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.430 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.430 * [taylor]: Taking taylor expansion of k in n 1.430 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.430 * [taylor]: Taking taylor expansion of 1.0 in n 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.430 * [taylor]: Taking taylor expansion of 2.0 in n 1.430 * [taylor]: Taking taylor expansion of (* n PI) in n 1.430 * [taylor]: Taking taylor expansion of n in n 1.430 * [taylor]: Taking taylor expansion of PI in n 1.436 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 1.437 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 1.437 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.437 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.437 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.437 * [taylor]: Taking taylor expansion of 2.0 in k 1.437 * [taylor]: Taking taylor expansion of PI in k 1.438 * [taylor]: Taking taylor expansion of (log n) in k 1.438 * [taylor]: Taking taylor expansion of n in k 1.438 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.438 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.438 * [taylor]: Taking taylor expansion of k in k 1.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.439 * [taylor]: Taking taylor expansion of 1.0 in k 1.449 * [taylor]: Taking taylor expansion of 0 in k 1.471 * [taylor]: Taking taylor expansion of 0 in k 1.497 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.497 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.497 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.497 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.497 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.497 * [taylor]: Taking taylor expansion of 1.0 in k 1.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.498 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.498 * [taylor]: Taking taylor expansion of k in k 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.499 * [taylor]: Taking taylor expansion of 2.0 in k 1.499 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.499 * [taylor]: Taking taylor expansion of PI in k 1.499 * [taylor]: Taking taylor expansion of n in k 1.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.502 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.502 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.503 * [taylor]: Taking taylor expansion of k in n 1.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.503 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.508 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.508 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.508 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.509 * [taylor]: Taking taylor expansion of 2.0 in n 1.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.509 * [taylor]: Taking taylor expansion of PI in n 1.509 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.513 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.513 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.513 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.513 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.513 * [taylor]: Taking taylor expansion of 2.0 in k 1.513 * [taylor]: Taking taylor expansion of PI in k 1.514 * [taylor]: Taking taylor expansion of (log n) in k 1.514 * [taylor]: Taking taylor expansion of n in k 1.514 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.514 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.514 * [taylor]: Taking taylor expansion of 1.0 in k 1.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.515 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of 0 in k 1.562 * [taylor]: Taking taylor expansion of 0 in k 1.600 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 1.600 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 1.600 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 1.600 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 1.600 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.600 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.600 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.600 * [taylor]: Taking taylor expansion of -1 in k 1.600 * [taylor]: Taking taylor expansion of k in k 1.602 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.602 * [taylor]: Taking taylor expansion of 1.0 in k 1.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.603 * [taylor]: Taking taylor expansion of -2.0 in k 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.603 * [taylor]: Taking taylor expansion of PI in k 1.603 * [taylor]: Taking taylor expansion of n in k 1.606 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.606 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.606 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.606 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.606 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.606 * [taylor]: Taking taylor expansion of -1 in n 1.606 * [taylor]: Taking taylor expansion of k in n 1.606 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of -2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.611 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.611 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.611 * [taylor]: Taking taylor expansion of -1 in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.611 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.611 * [taylor]: Taking taylor expansion of 1.0 in n 1.612 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of -2.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 1.616 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 1.616 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.617 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.617 * [taylor]: Taking taylor expansion of -1 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 1.618 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.619 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.619 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.619 * [taylor]: Taking taylor expansion of -2.0 in k 1.619 * [taylor]: Taking taylor expansion of PI in k 1.620 * [taylor]: Taking taylor expansion of (log n) in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.642 * [taylor]: Taking taylor expansion of 0 in k 1.667 * [taylor]: Taking taylor expansion of 0 in k 1.708 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.709 * [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 1.709 * [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 1.709 * [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 1.709 * [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 1.709 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 1.709 * [taylor]: Taking taylor expansion of 0.5 in k 1.709 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.709 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.710 * [taylor]: Taking taylor expansion of k in k 1.711 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 1.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.711 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.711 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.711 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.713 * [taylor]: Taking taylor expansion of 2.0 in k 1.713 * [taylor]: Taking taylor expansion of (* n PI) in k 1.713 * [taylor]: Taking taylor expansion of n in k 1.713 * [taylor]: Taking taylor expansion of PI in k 1.717 * [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 1.717 * [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 1.717 * [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 1.717 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.717 * [taylor]: Taking taylor expansion of 0.5 in n 1.717 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.717 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.718 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.718 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.718 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.719 * [taylor]: Taking taylor expansion of 2.0 in n 1.719 * [taylor]: Taking taylor expansion of (* n PI) in n 1.719 * [taylor]: Taking taylor expansion of n in n 1.719 * [taylor]: Taking taylor expansion of PI in n 1.735 * [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 1.735 * [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 1.735 * [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 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.735 * [taylor]: Taking taylor expansion of 0.5 in n 1.735 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.735 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.736 * [taylor]: Taking taylor expansion of k in n 1.736 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.736 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.736 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.736 * [taylor]: Taking taylor expansion of k in n 1.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.737 * [taylor]: Taking taylor expansion of 2.0 in n 1.737 * [taylor]: Taking taylor expansion of (* n PI) in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of PI in n 1.747 * [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 1.747 * [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 1.747 * [taylor]: Taking taylor expansion of 0.5 in k 1.747 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 1.747 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.747 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.747 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.747 * [taylor]: Taking taylor expansion of 2.0 in k 1.748 * [taylor]: Taking taylor expansion of PI in k 1.748 * [taylor]: Taking taylor expansion of (log n) in k 1.748 * [taylor]: Taking taylor expansion of n in k 1.749 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 1.749 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.749 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.749 * [taylor]: Taking taylor expansion of k in k 1.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.750 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.750 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.751 * [taylor]: Taking taylor expansion of k in k 1.771 * [taylor]: Taking taylor expansion of 0 in k 1.806 * [taylor]: Taking taylor expansion of 0 in k 1.871 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 1.871 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.871 * [taylor]: Taking taylor expansion of 0.5 in k 1.871 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.871 * [taylor]: Taking taylor expansion of 1.0 in k 1.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.872 * [taylor]: Taking taylor expansion of k in k 1.873 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.873 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.873 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.873 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.873 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.873 * [taylor]: Taking taylor expansion of 1.0 in k 1.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.874 * [taylor]: Taking taylor expansion of k in k 1.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.875 * [taylor]: Taking taylor expansion of 2.0 in k 1.875 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.875 * [taylor]: Taking taylor expansion of PI in k 1.875 * [taylor]: Taking taylor expansion of n in k 1.892 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.892 * [taylor]: Taking taylor expansion of 0.5 in n 1.892 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.892 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.892 * [taylor]: Taking taylor expansion of 1.0 in n 1.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.893 * [taylor]: Taking taylor expansion of k in n 1.893 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.893 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.893 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.893 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.893 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.893 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.900 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.900 * [taylor]: Taking taylor expansion of k in n 1.900 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.900 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.900 * [taylor]: Taking taylor expansion of 2.0 in n 1.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.900 * [taylor]: Taking taylor expansion of PI in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.908 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.908 * [taylor]: Taking taylor expansion of 0.5 in n 1.909 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.909 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.909 * [taylor]: Taking taylor expansion of 1.0 in n 1.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.909 * [taylor]: Taking taylor expansion of k in n 1.909 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.909 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.909 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.909 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.910 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.910 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.910 * [taylor]: Taking taylor expansion of 1.0 in n 1.910 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.910 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.910 * [taylor]: Taking taylor expansion of k in n 1.910 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.910 * [taylor]: Taking taylor expansion of 2.0 in n 1.910 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.910 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.919 * [taylor]: Taking taylor expansion of 0.5 in k 1.919 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.919 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.919 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.919 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.919 * [taylor]: Taking taylor expansion of 2.0 in k 1.919 * [taylor]: Taking taylor expansion of PI in k 1.920 * [taylor]: Taking taylor expansion of (log n) in k 1.920 * [taylor]: Taking taylor expansion of n in k 1.920 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.920 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.920 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.920 * [taylor]: Taking taylor expansion of 1.0 in k 1.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.921 * [taylor]: Taking taylor expansion of k in k 1.922 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.922 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.922 * [taylor]: Taking taylor expansion of 1.0 in k 1.923 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.979 * [taylor]: Taking taylor expansion of 0 in k 2.055 * [taylor]: Taking taylor expansion of 0 in k 2.197 * [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 2.197 * [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 2.197 * [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 2.197 * [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 2.197 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.197 * [taylor]: Taking taylor expansion of 0.5 in k 2.197 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.197 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.197 * [taylor]: Taking taylor expansion of 1.0 in k 2.198 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.198 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.198 * [taylor]: Taking taylor expansion of -1 in k 2.198 * [taylor]: Taking taylor expansion of k in k 2.200 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 2.200 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 2.200 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 2.200 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 2.200 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.200 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.200 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.200 * [taylor]: Taking taylor expansion of -1 in k 2.200 * [taylor]: Taking taylor expansion of k in k 2.201 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.201 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.202 * [taylor]: Taking taylor expansion of -2.0 in k 2.202 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.202 * [taylor]: Taking taylor expansion of PI in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.219 * [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 2.219 * [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 2.219 * [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 2.219 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.219 * [taylor]: Taking taylor expansion of 0.5 in n 2.219 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.219 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.219 * [taylor]: Taking taylor expansion of 1.0 in n 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.219 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.219 * [taylor]: Taking taylor expansion of -1 in n 2.220 * [taylor]: Taking taylor expansion of k in n 2.220 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.220 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.220 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.220 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.220 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.220 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.220 * [taylor]: Taking taylor expansion of -1 in n 2.220 * [taylor]: Taking taylor expansion of k in n 2.220 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.220 * [taylor]: Taking taylor expansion of 1.0 in n 2.221 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.221 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.221 * [taylor]: Taking taylor expansion of -2.0 in n 2.221 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.221 * [taylor]: Taking taylor expansion of PI in n 2.221 * [taylor]: Taking taylor expansion of n in n 2.235 * [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 2.235 * [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 2.235 * [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 2.235 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.235 * [taylor]: Taking taylor expansion of 0.5 in n 2.235 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.235 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.235 * [taylor]: Taking taylor expansion of 1.0 in n 2.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.236 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.236 * [taylor]: Taking taylor expansion of -1 in n 2.236 * [taylor]: Taking taylor expansion of k in n 2.236 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.236 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.236 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.236 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.236 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.236 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.236 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.236 * [taylor]: Taking taylor expansion of -1 in n 2.236 * [taylor]: Taking taylor expansion of k in n 2.236 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.236 * [taylor]: Taking taylor expansion of 1.0 in n 2.237 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.237 * [taylor]: Taking taylor expansion of -2.0 in n 2.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.237 * [taylor]: Taking taylor expansion of PI in n 2.237 * [taylor]: Taking taylor expansion of n in n 2.246 * [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 2.246 * [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 2.246 * [taylor]: Taking taylor expansion of 0.5 in k 2.246 * [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 2.246 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.246 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.246 * [taylor]: Taking taylor expansion of -1 in k 2.246 * [taylor]: Taking taylor expansion of k in k 2.247 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.247 * [taylor]: Taking taylor expansion of 1.0 in k 2.248 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.248 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.248 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.248 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.248 * [taylor]: Taking taylor expansion of -2.0 in k 2.248 * [taylor]: Taking taylor expansion of PI in k 2.249 * [taylor]: Taking taylor expansion of (log n) in k 2.249 * [taylor]: Taking taylor expansion of n in k 2.249 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.249 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.249 * [taylor]: Taking taylor expansion of 1.0 in k 2.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.250 * [taylor]: Taking taylor expansion of -1 in k 2.250 * [taylor]: Taking taylor expansion of k in k 2.310 * [taylor]: Taking taylor expansion of 0 in k 2.388 * [taylor]: Taking taylor expansion of 0 in k 2.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.538 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.538 * [taylor]: Taking taylor expansion of 2.0 in n 2.538 * [taylor]: Taking taylor expansion of (* n PI) in n 2.538 * [taylor]: Taking taylor expansion of n in n 2.538 * [taylor]: Taking taylor expansion of PI in n 2.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.538 * [taylor]: Taking taylor expansion of 2.0 in n 2.538 * [taylor]: Taking taylor expansion of (* n PI) in n 2.538 * [taylor]: Taking taylor expansion of n in n 2.538 * [taylor]: Taking taylor expansion of PI in n 2.551 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.551 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.551 * [taylor]: Taking taylor expansion of 2.0 in n 2.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.551 * [taylor]: Taking taylor expansion of PI in n 2.551 * [taylor]: Taking taylor expansion of n in n 2.551 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.551 * [taylor]: Taking taylor expansion of 2.0 in n 2.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.551 * [taylor]: Taking taylor expansion of PI in n 2.551 * [taylor]: Taking taylor expansion of n in n 2.566 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.566 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.566 * [taylor]: Taking taylor expansion of -2.0 in n 2.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.566 * [taylor]: Taking taylor expansion of PI in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.567 * [taylor]: Taking taylor expansion of -2.0 in n 2.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.575 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.577 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.577 * [taylor]: Taking taylor expansion of k in k 2.588 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.588 * [taylor]: Taking taylor expansion of 1.0 in k 2.588 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.588 * [taylor]: Taking taylor expansion of k in k 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.589 * [taylor]: Taking taylor expansion of 1.0 in k 2.589 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.589 * [taylor]: Taking taylor expansion of k in k 2.599 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.599 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.599 * [taylor]: Taking taylor expansion of 1.0 in k 2.599 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.599 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.599 * [taylor]: Taking taylor expansion of -1 in k 2.599 * [taylor]: Taking taylor expansion of k in k 2.601 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.601 * [taylor]: Taking taylor expansion of 1.0 in k 2.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.601 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.601 * [taylor]: Taking taylor expansion of -1 in k 2.601 * [taylor]: Taking taylor expansion of k in k 2.613 * * * [progress]: simplifying candidates 2.616 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) 1) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (log (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (exp (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) 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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)) (- (* +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)) 2.688 * * * [progress]: adding candidates to table 3.178 * * [progress]: iteration 3 / 4 3.178 * * * [progress]: picking best candidate 3.206 * * * * [pick]: Picked # 3.206 * * * [progress]: localizing error 3.225 * * * [progress]: generating rewritten candidates 3.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 3.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.402 * * * [progress]: generating series expansions 3.402 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.403 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.403 * [taylor]: Taking taylor expansion of 0.5 in n 3.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.403 * [taylor]: Taking taylor expansion of 2.0 in n 3.403 * [taylor]: Taking taylor expansion of (* n PI) in n 3.403 * [taylor]: Taking taylor expansion of n in n 3.403 * [taylor]: Taking taylor expansion of PI in n 3.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.409 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.409 * [taylor]: Taking taylor expansion of 0.5 in n 3.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.409 * [taylor]: Taking taylor expansion of 2.0 in n 3.409 * [taylor]: Taking taylor expansion of (* n PI) in n 3.409 * [taylor]: Taking taylor expansion of n in n 3.409 * [taylor]: Taking taylor expansion of PI in n 3.492 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.492 * [taylor]: Taking taylor expansion of 0.5 in n 3.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.492 * [taylor]: Taking taylor expansion of 2.0 in n 3.492 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.492 * [taylor]: Taking taylor expansion of PI in n 3.492 * [taylor]: Taking taylor expansion of n in n 3.496 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.496 * [taylor]: Taking taylor expansion of 0.5 in n 3.496 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.496 * [taylor]: Taking taylor expansion of 2.0 in n 3.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.496 * [taylor]: Taking taylor expansion of PI in n 3.496 * [taylor]: Taking taylor expansion of n in n 3.573 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.573 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.573 * [taylor]: Taking taylor expansion of 0.5 in n 3.573 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.573 * [taylor]: Taking taylor expansion of -2.0 in n 3.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.573 * [taylor]: Taking taylor expansion of PI in n 3.573 * [taylor]: Taking taylor expansion of n in n 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 3.654 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.654 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.654 * [taylor]: Taking taylor expansion of 2.0 in n 3.654 * [taylor]: Taking taylor expansion of (* n PI) in n 3.655 * [taylor]: Taking taylor expansion of n in n 3.655 * [taylor]: Taking taylor expansion of PI in n 3.655 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.655 * [taylor]: Taking taylor expansion of 2.0 in n 3.655 * [taylor]: Taking taylor expansion of (* n PI) in n 3.655 * [taylor]: Taking taylor expansion of n in n 3.655 * [taylor]: Taking taylor expansion of PI in n 3.667 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 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 3.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.668 * [taylor]: Taking taylor expansion of 2.0 in n 3.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.668 * [taylor]: Taking taylor expansion of PI in n 3.668 * [taylor]: Taking taylor expansion of n in n 3.676 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.676 * [taylor]: Taking taylor expansion of -2.0 in n 3.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.677 * [taylor]: Taking taylor expansion of PI in n 3.677 * [taylor]: Taking taylor expansion of n in n 3.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.677 * [taylor]: Taking taylor expansion of -2.0 in n 3.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.677 * [taylor]: Taking taylor expansion of PI in n 3.677 * [taylor]: Taking taylor expansion of n in n 3.686 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.686 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.686 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.686 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [taylor]: Taking taylor expansion of (* n PI) in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.686 * [taylor]: Taking taylor expansion of PI in n 3.686 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.686 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [taylor]: Taking taylor expansion of (* n PI) in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.686 * [taylor]: Taking taylor expansion of PI in n 3.701 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.701 * [taylor]: Taking taylor expansion of 2.0 in n 3.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.701 * [taylor]: Taking taylor expansion of PI in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.701 * [taylor]: Taking taylor expansion of 2.0 in n 3.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.701 * [taylor]: Taking taylor expansion of PI in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.710 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.710 * [taylor]: Taking taylor expansion of -2.0 in n 3.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.710 * [taylor]: Taking taylor expansion of PI in n 3.710 * [taylor]: Taking taylor expansion of n in n 3.711 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.711 * [taylor]: Taking taylor expansion of -2.0 in n 3.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.711 * [taylor]: Taking taylor expansion of PI in n 3.711 * [taylor]: Taking taylor expansion of n in n 3.719 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.720 * [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 3.721 * [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 3.721 * [taylor]: Taking taylor expansion of 1.0 in k 3.721 * [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 3.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.721 * [taylor]: Taking taylor expansion of k in k 3.722 * [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 3.722 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.722 * [taylor]: Taking taylor expansion of 0.5 in k 3.722 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.722 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.722 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.722 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.722 * [taylor]: Taking taylor expansion of 1.0 in k 3.722 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.722 * [taylor]: Taking taylor expansion of 2.0 in k 3.724 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.724 * [taylor]: Taking taylor expansion of 1.0 in k 3.724 * [taylor]: Taking taylor expansion of (log n) in k 3.724 * [taylor]: Taking taylor expansion of n in k 3.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.724 * [taylor]: Taking taylor expansion of 1.0 in k 3.724 * [taylor]: Taking taylor expansion of (log PI) in k 3.724 * [taylor]: Taking taylor expansion of PI in k 3.730 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.730 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.730 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.730 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.730 * [taylor]: Taking taylor expansion of 0.5 in k 3.730 * [taylor]: Taking taylor expansion of k in k 3.730 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.730 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.730 * [taylor]: Taking taylor expansion of 2.0 in k 3.730 * [taylor]: Taking taylor expansion of (* n PI) in k 3.730 * [taylor]: Taking taylor expansion of n in k 3.730 * [taylor]: Taking taylor expansion of PI in k 3.733 * [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 3.733 * [taylor]: Taking taylor expansion of 1.0 in n 3.733 * [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 3.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.733 * [taylor]: Taking taylor expansion of k in n 3.733 * [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 3.733 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.733 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.733 * [taylor]: Taking taylor expansion of 0.5 in n 3.733 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.733 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.733 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.733 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.733 * [taylor]: Taking taylor expansion of 1.0 in n 3.734 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.734 * [taylor]: Taking taylor expansion of 2.0 in n 3.735 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.735 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.735 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.735 * [taylor]: Taking taylor expansion of 1.0 in n 3.735 * [taylor]: Taking taylor expansion of (log n) in n 3.735 * [taylor]: Taking taylor expansion of n in n 3.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.736 * [taylor]: Taking taylor expansion of 1.0 in n 3.736 * [taylor]: Taking taylor expansion of (log PI) in n 3.736 * [taylor]: Taking taylor expansion of PI in n 3.741 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.742 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.742 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.742 * [taylor]: Taking taylor expansion of 0.5 in n 3.742 * [taylor]: Taking taylor expansion of k in n 3.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.742 * [taylor]: Taking taylor expansion of 2.0 in n 3.742 * [taylor]: Taking taylor expansion of (* n PI) in n 3.742 * [taylor]: Taking taylor expansion of n in n 3.742 * [taylor]: Taking taylor expansion of PI in n 3.748 * [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 3.748 * [taylor]: Taking taylor expansion of 1.0 in n 3.748 * [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 3.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.748 * [taylor]: Taking taylor expansion of k in n 3.748 * [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 3.748 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.748 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.748 * [taylor]: Taking taylor expansion of 0.5 in n 3.748 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.748 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.748 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.748 * [taylor]: Taking taylor expansion of 1.0 in n 3.748 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.748 * [taylor]: Taking taylor expansion of 2.0 in n 3.750 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.750 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.750 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.750 * [taylor]: Taking taylor expansion of 1.0 in n 3.750 * [taylor]: Taking taylor expansion of (log n) in n 3.750 * [taylor]: Taking taylor expansion of n in n 3.751 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.751 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.751 * [taylor]: Taking taylor expansion of 1.0 in n 3.751 * [taylor]: Taking taylor expansion of (log PI) in n 3.751 * [taylor]: Taking taylor expansion of PI in n 3.756 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.756 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.756 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.756 * [taylor]: Taking taylor expansion of 0.5 in n 3.756 * [taylor]: Taking taylor expansion of k in n 3.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.756 * [taylor]: Taking taylor expansion of 2.0 in n 3.756 * [taylor]: Taking taylor expansion of (* n PI) in n 3.756 * [taylor]: Taking taylor expansion of n in n 3.756 * [taylor]: Taking taylor expansion of PI in n 3.767 * [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 3.767 * [taylor]: Taking taylor expansion of 1.0 in k 3.767 * [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 3.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.767 * [taylor]: Taking taylor expansion of k in k 3.769 * [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 3.769 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.769 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.769 * [taylor]: Taking taylor expansion of 0.5 in k 3.769 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.769 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.769 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.769 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.769 * [taylor]: Taking taylor expansion of (log PI) in k 3.769 * [taylor]: Taking taylor expansion of PI in k 3.771 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.771 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.771 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.771 * [taylor]: Taking taylor expansion of 1.0 in k 3.771 * [taylor]: Taking taylor expansion of (log n) in k 3.771 * [taylor]: Taking taylor expansion of n in k 3.771 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.771 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.771 * [taylor]: Taking taylor expansion of 1.0 in k 3.771 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.771 * [taylor]: Taking taylor expansion of 2.0 in k 3.779 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.779 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.779 * [taylor]: Taking taylor expansion of 0.5 in k 3.779 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.779 * [taylor]: Taking taylor expansion of k in k 3.779 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.779 * [taylor]: Taking taylor expansion of 2.0 in k 3.779 * [taylor]: Taking taylor expansion of PI in k 3.780 * [taylor]: Taking taylor expansion of (log n) in k 3.780 * [taylor]: Taking taylor expansion of n in k 3.810 * [taylor]: Taking taylor expansion of 0 in k 3.865 * [taylor]: Taking taylor expansion of 0 in k 3.961 * [taylor]: Taking taylor expansion of 0 in k 4.077 * [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 4.077 * [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 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [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 4.077 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.077 * [taylor]: Taking taylor expansion of k in k 4.078 * [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 4.078 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.079 * [taylor]: Taking taylor expansion of 0.5 in k 4.079 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.079 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.079 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.079 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.079 * [taylor]: Taking taylor expansion of 1.0 in k 4.079 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.079 * [taylor]: Taking taylor expansion of 2.0 in k 4.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.081 * [taylor]: Taking taylor expansion of 1.0 in k 4.081 * [taylor]: Taking taylor expansion of (log PI) in k 4.081 * [taylor]: Taking taylor expansion of PI in k 4.083 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.083 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.083 * [taylor]: Taking taylor expansion of 1.0 in k 4.083 * [taylor]: Taking taylor expansion of (log n) in k 4.083 * [taylor]: Taking taylor expansion of n in k 4.089 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.089 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.089 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.089 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.089 * [taylor]: Taking taylor expansion of 0.5 in k 4.089 * [taylor]: Taking taylor expansion of k in k 4.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.090 * [taylor]: Taking taylor expansion of 2.0 in k 4.090 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.090 * [taylor]: Taking taylor expansion of PI in k 4.090 * [taylor]: Taking taylor expansion of n in k 4.090 * [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 4.090 * [taylor]: Taking taylor expansion of 1.0 in n 4.090 * [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 4.090 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.090 * [taylor]: Taking taylor expansion of k in n 4.090 * [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 4.090 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.090 * [taylor]: Taking taylor expansion of 0.5 in n 4.090 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.090 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.090 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.090 * [taylor]: Taking taylor expansion of 1.0 in n 4.090 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.090 * [taylor]: Taking taylor expansion of 2.0 in n 4.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.092 * [taylor]: Taking taylor expansion of 1.0 in n 4.092 * [taylor]: Taking taylor expansion of (log PI) in n 4.092 * [taylor]: Taking taylor expansion of PI in n 4.094 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.094 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.094 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (log n) in n 4.094 * [taylor]: Taking taylor expansion of n in n 4.101 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.101 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.101 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.101 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.101 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.101 * [taylor]: Taking taylor expansion of 0.5 in n 4.101 * [taylor]: Taking taylor expansion of k in n 4.101 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.101 * [taylor]: Taking taylor expansion of 2.0 in n 4.101 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.101 * [taylor]: Taking taylor expansion of PI in n 4.101 * [taylor]: Taking taylor expansion of n in n 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.106 * [taylor]: Taking taylor expansion of k in n 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.106 * [taylor]: Taking taylor expansion of 0.5 in n 4.106 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.106 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.106 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.106 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.106 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.106 * [taylor]: Taking taylor expansion of 2.0 in n 4.108 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.108 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [taylor]: Taking taylor expansion of (log PI) in n 4.108 * [taylor]: Taking taylor expansion of PI in n 4.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.115 * [taylor]: Taking taylor expansion of 1.0 in n 4.115 * [taylor]: Taking taylor expansion of (log n) in n 4.115 * [taylor]: Taking taylor expansion of n in n 4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.122 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.122 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.122 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.122 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.122 * [taylor]: Taking taylor expansion of 0.5 in n 4.122 * [taylor]: Taking taylor expansion of k in n 4.122 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.122 * [taylor]: Taking taylor expansion of 2.0 in n 4.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.122 * [taylor]: Taking taylor expansion of PI in n 4.122 * [taylor]: Taking taylor expansion of n in n 4.133 * [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 4.133 * [taylor]: Taking taylor expansion of 1.0 in k 4.133 * [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 4.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.133 * [taylor]: Taking taylor expansion of k in k 4.134 * [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 4.134 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.134 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.134 * [taylor]: Taking taylor expansion of 0.5 in k 4.134 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.134 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.134 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.134 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.134 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.134 * [taylor]: Taking taylor expansion of 1.0 in k 4.134 * [taylor]: Taking taylor expansion of (log PI) in k 4.134 * [taylor]: Taking taylor expansion of PI in k 4.136 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.136 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.136 * [taylor]: Taking taylor expansion of 1.0 in k 4.136 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.136 * [taylor]: Taking taylor expansion of 2.0 in k 4.138 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.138 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.138 * [taylor]: Taking taylor expansion of 1.0 in k 4.138 * [taylor]: Taking taylor expansion of (log n) in k 4.138 * [taylor]: Taking taylor expansion of n in k 4.144 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.144 * [taylor]: Taking taylor expansion of 0.5 in k 4.144 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.144 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.144 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.144 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.145 * [taylor]: Taking taylor expansion of 2.0 in k 4.145 * [taylor]: Taking taylor expansion of PI in k 4.145 * [taylor]: Taking taylor expansion of (log n) in k 4.145 * [taylor]: Taking taylor expansion of n in k 4.146 * [taylor]: Taking taylor expansion of k in k 4.178 * [taylor]: Taking taylor expansion of 0 in k 4.240 * [taylor]: Taking taylor expansion of 0 in k 4.324 * [taylor]: Taking taylor expansion of 0 in k 4.381 * [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 4.381 * [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 4.381 * [taylor]: Taking taylor expansion of 1.0 in k 4.381 * [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 4.381 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.381 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.381 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.381 * [taylor]: Taking taylor expansion of -1 in k 4.381 * [taylor]: Taking taylor expansion of k in k 4.382 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.382 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.383 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.383 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.383 * [taylor]: Taking taylor expansion of -0.5 in k 4.383 * [taylor]: Taking taylor expansion of k in k 4.383 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.383 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.383 * [taylor]: Taking taylor expansion of -2.0 in k 4.383 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.383 * [taylor]: Taking taylor expansion of PI in k 4.383 * [taylor]: Taking taylor expansion of n in k 4.384 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.384 * [taylor]: Taking taylor expansion of 0.5 in k 4.384 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.384 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.384 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.384 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.384 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.384 * [taylor]: Taking taylor expansion of 1.0 in k 4.384 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.384 * [taylor]: Taking taylor expansion of -2.0 in k 4.386 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [taylor]: Taking taylor expansion of (log PI) in k 4.386 * [taylor]: Taking taylor expansion of PI in k 4.388 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.388 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.388 * [taylor]: Taking taylor expansion of 1.0 in k 4.388 * [taylor]: Taking taylor expansion of (log n) in k 4.388 * [taylor]: Taking taylor expansion of n in k 4.395 * [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 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [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 4.395 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.395 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.395 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.395 * [taylor]: Taking taylor expansion of -1 in n 4.395 * [taylor]: Taking taylor expansion of k in n 4.395 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.395 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.395 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.395 * [taylor]: Taking taylor expansion of -0.5 in n 4.395 * [taylor]: Taking taylor expansion of k in n 4.395 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.395 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.395 * [taylor]: Taking taylor expansion of -2.0 in n 4.395 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.395 * [taylor]: Taking taylor expansion of PI in n 4.395 * [taylor]: Taking taylor expansion of n in n 4.400 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.400 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.400 * [taylor]: Taking taylor expansion of 0.5 in n 4.400 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.400 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.400 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.400 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.400 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.400 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.400 * [taylor]: Taking taylor expansion of -2.0 in n 4.402 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.402 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.402 * [taylor]: Taking taylor expansion of 1.0 in n 4.402 * [taylor]: Taking taylor expansion of (log PI) in n 4.402 * [taylor]: Taking taylor expansion of PI in n 4.404 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.404 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.404 * [taylor]: Taking taylor expansion of 1.0 in n 4.404 * [taylor]: Taking taylor expansion of (log n) in n 4.404 * [taylor]: Taking taylor expansion of n in n 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of 1.0 in n 4.411 * [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 4.411 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.411 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.411 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.411 * [taylor]: Taking taylor expansion of -1 in n 4.411 * [taylor]: Taking taylor expansion of k in n 4.411 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.411 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.411 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.411 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.411 * [taylor]: Taking taylor expansion of -0.5 in n 4.411 * [taylor]: Taking taylor expansion of k in n 4.412 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.412 * [taylor]: Taking taylor expansion of -2.0 in n 4.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.412 * [taylor]: Taking taylor expansion of PI in n 4.412 * [taylor]: Taking taylor expansion of n in n 4.417 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.417 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.417 * [taylor]: Taking taylor expansion of 0.5 in n 4.417 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.417 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.417 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.417 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.417 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.417 * [taylor]: Taking taylor expansion of -2.0 in n 4.419 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.419 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.419 * [taylor]: Taking taylor expansion of 1.0 in n 4.419 * [taylor]: Taking taylor expansion of (log PI) in n 4.419 * [taylor]: Taking taylor expansion of PI in n 4.421 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.421 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.421 * [taylor]: Taking taylor expansion of 1.0 in n 4.421 * [taylor]: Taking taylor expansion of (log n) in n 4.421 * [taylor]: Taking taylor expansion of n in n 4.432 * [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 4.432 * [taylor]: Taking taylor expansion of 1.0 in k 4.432 * [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 4.432 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.432 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.432 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.432 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.432 * [taylor]: Taking taylor expansion of -0.5 in k 4.432 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.432 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.432 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.432 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.432 * [taylor]: Taking taylor expansion of -2.0 in k 4.432 * [taylor]: Taking taylor expansion of PI in k 4.433 * [taylor]: Taking taylor expansion of (log n) in k 4.433 * [taylor]: Taking taylor expansion of n in k 4.433 * [taylor]: Taking taylor expansion of k in k 4.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.436 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.436 * [taylor]: Taking taylor expansion of -1 in k 4.436 * [taylor]: Taking taylor expansion of k in k 4.440 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.440 * [taylor]: Taking taylor expansion of 0.5 in k 4.440 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.440 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.440 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.440 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.440 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.440 * [taylor]: Taking taylor expansion of 1.0 in k 4.440 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.440 * [taylor]: Taking taylor expansion of -2.0 in k 4.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.442 * [taylor]: Taking taylor expansion of 1.0 in k 4.442 * [taylor]: Taking taylor expansion of (log PI) in k 4.442 * [taylor]: Taking taylor expansion of PI in k 4.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.444 * [taylor]: Taking taylor expansion of 1.0 in k 4.444 * [taylor]: Taking taylor expansion of (log n) in k 4.444 * [taylor]: Taking taylor expansion of n in k 4.486 * [taylor]: Taking taylor expansion of 0 in k 4.553 * [taylor]: Taking taylor expansion of 0 in k 4.599 * * * [progress]: simplifying candidates 4.601 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 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))) (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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) 4.611 * * [simplify]: iteration 0 : 916 enodes (cost 1358 ) 4.626 * * [simplify]: iteration 1 : 3951 enodes (cost 1199 ) 4.689 * * [simplify]: iteration 2 : 5002 enodes (cost 1199 ) 4.696 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 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) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (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 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 4.697 * * * [progress]: adding candidates to table 4.923 * * [progress]: iteration 4 / 4 4.923 * * * [progress]: picking best candidate 4.949 * * * * [pick]: Picked # 4.949 * * * [progress]: localizing error 4.968 * * * [progress]: generating rewritten candidates 4.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.975 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.980 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.985 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.992 * * * [progress]: generating series expansions 4.992 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.993 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 4.993 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.993 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.993 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.993 * [taylor]: Taking taylor expansion of 0.5 in n 4.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.993 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.993 * [taylor]: Taking taylor expansion of 2.0 in n 4.993 * [taylor]: Taking taylor expansion of (* n PI) in n 4.993 * [taylor]: Taking taylor expansion of n in n 4.993 * [taylor]: Taking taylor expansion of PI in n 4.998 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.998 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.998 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.998 * [taylor]: Taking taylor expansion of 0.5 in n 4.998 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.998 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.998 * [taylor]: Taking taylor expansion of 2.0 in n 4.998 * [taylor]: Taking taylor expansion of (* n PI) in n 4.999 * [taylor]: Taking taylor expansion of n in n 4.999 * [taylor]: Taking taylor expansion of PI in n 5.085 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.085 * [taylor]: Taking taylor expansion of 0.5 in n 5.085 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.085 * [taylor]: Taking taylor expansion of 2.0 in n 5.085 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.085 * [taylor]: Taking taylor expansion of PI in n 5.085 * [taylor]: Taking taylor expansion of n in n 5.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.089 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.089 * [taylor]: Taking taylor expansion of 0.5 in n 5.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.089 * [taylor]: Taking taylor expansion of 2.0 in n 5.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.089 * [taylor]: Taking taylor expansion of PI in n 5.089 * [taylor]: Taking taylor expansion of n in n 5.168 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.168 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.169 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.169 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.169 * [taylor]: Taking taylor expansion of 0.5 in n 5.169 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.169 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.169 * [taylor]: Taking taylor expansion of -2.0 in n 5.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.169 * [taylor]: Taking taylor expansion of PI in n 5.169 * [taylor]: Taking taylor expansion of n in n 5.175 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.175 * [taylor]: Taking taylor expansion of 0.5 in n 5.175 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.175 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.175 * [taylor]: Taking taylor expansion of -2.0 in n 5.175 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.175 * [taylor]: Taking taylor expansion of PI in n 5.175 * [taylor]: Taking taylor expansion of n in n 5.265 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.266 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.266 * [taylor]: Taking taylor expansion of 2.0 in n 5.266 * [taylor]: Taking taylor expansion of (* n PI) in n 5.266 * [taylor]: Taking taylor expansion of n in n 5.266 * [taylor]: Taking taylor expansion of PI in n 5.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.266 * [taylor]: Taking taylor expansion of 2.0 in n 5.266 * [taylor]: Taking taylor expansion of (* n PI) in n 5.266 * [taylor]: Taking taylor expansion of n in n 5.266 * [taylor]: Taking taylor expansion of PI in n 5.278 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.278 * [taylor]: Taking taylor expansion of 2.0 in n 5.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.278 * [taylor]: Taking taylor expansion of PI in n 5.278 * [taylor]: Taking taylor expansion of n in n 5.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.279 * [taylor]: Taking taylor expansion of 2.0 in n 5.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.279 * [taylor]: Taking taylor expansion of PI in n 5.279 * [taylor]: Taking taylor expansion of n in n 5.288 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.288 * [taylor]: Taking taylor expansion of -2.0 in n 5.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.288 * [taylor]: Taking taylor expansion of PI in n 5.288 * [taylor]: Taking taylor expansion of n in n 5.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.288 * [taylor]: Taking taylor expansion of -2.0 in n 5.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.288 * [taylor]: Taking taylor expansion of PI in n 5.288 * [taylor]: Taking taylor expansion of n in n 5.297 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.297 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.297 * [taylor]: Taking taylor expansion of 2.0 in n 5.297 * [taylor]: Taking taylor expansion of (* n PI) in n 5.297 * [taylor]: Taking taylor expansion of n in n 5.297 * [taylor]: Taking taylor expansion of PI in n 5.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.297 * [taylor]: Taking taylor expansion of 2.0 in n 5.297 * [taylor]: Taking taylor expansion of (* n PI) in n 5.297 * [taylor]: Taking taylor expansion of n in n 5.297 * [taylor]: Taking taylor expansion of PI in n 5.310 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.310 * [taylor]: Taking taylor expansion of 2.0 in n 5.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.310 * [taylor]: Taking taylor expansion of PI in n 5.310 * [taylor]: Taking taylor expansion of n in n 5.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.310 * [taylor]: Taking taylor expansion of 2.0 in n 5.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.310 * [taylor]: Taking taylor expansion of PI in n 5.310 * [taylor]: Taking taylor expansion of n in n 5.319 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.320 * [taylor]: Taking taylor expansion of -2.0 in n 5.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.320 * [taylor]: Taking taylor expansion of PI in n 5.320 * [taylor]: Taking taylor expansion of n in n 5.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.320 * [taylor]: Taking taylor expansion of -2.0 in n 5.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.320 * [taylor]: Taking taylor expansion of PI in n 5.320 * [taylor]: Taking taylor expansion of n in n 5.329 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.329 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.329 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.329 * [taylor]: Taking taylor expansion of 1.0 in k 5.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.329 * [taylor]: Taking taylor expansion of k in k 5.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.330 * [taylor]: Taking taylor expansion of k in k 5.348 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.348 * [taylor]: Taking taylor expansion of 1.0 in k 5.348 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.348 * [taylor]: Taking taylor expansion of k in k 5.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.349 * [taylor]: Taking taylor expansion of 1.0 in k 5.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.349 * [taylor]: Taking taylor expansion of k in k 5.360 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.360 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.360 * [taylor]: Taking taylor expansion of 1.0 in k 5.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.360 * [taylor]: Taking taylor expansion of -1 in k 5.360 * [taylor]: Taking taylor expansion of k in k 5.361 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.361 * [taylor]: Taking taylor expansion of 1.0 in k 5.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.361 * [taylor]: Taking taylor expansion of -1 in k 5.361 * [taylor]: Taking taylor expansion of k in k 5.374 * * * [progress]: simplifying candidates 5.375 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (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))))) 5.382 * * [simplify]: iteration 0 : 435 enodes (cost 565 ) 5.390 * * [simplify]: iteration 1 : 1610 enodes (cost 505 ) 5.421 * * [simplify]: iteration 2 : 5001 enodes (cost 493 ) 5.425 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (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) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3))) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) +nan.0) 5.425 * * * [progress]: adding candidates to table 5.672 * [progress]: [Phase 3 of 3] Extracting. 5.673 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.676 * * * [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) 5.676 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.723 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.776 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.821 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.868 * * * [regime]: Found split indices: #