10.809 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.203 * * * [progress]: [2/2] Setting up program. 0.206 * [progress]: [Phase 2 of 3] Improving. 0.206 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.208 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.210 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.211 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.214 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.219 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.242 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.242 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.242 * * [progress]: iteration 1 / 4 0.242 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.258 * * * [progress]: generating rewritten candidates 0.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.271 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.280 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.304 * * * [progress]: generating series expansions 0.304 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.304 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.304 * [taylor]: Taking taylor expansion of 1.0 in k 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.306 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.317 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.318 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.329 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.329 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.329 * [taylor]: Taking taylor expansion of 1.0 in k 0.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.329 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.329 * [taylor]: Taking taylor expansion of -1 in k 0.329 * [taylor]: Taking taylor expansion of k in k 0.330 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.330 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.330 * [taylor]: Taking taylor expansion of -1 in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.342 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.342 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.342 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.342 * [taylor]: Taking taylor expansion of 0.5 in k 0.342 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.342 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.342 * [taylor]: Taking taylor expansion of 2.0 in k 0.342 * [taylor]: Taking taylor expansion of (* n PI) in k 0.342 * [taylor]: Taking taylor expansion of n in k 0.342 * [taylor]: Taking taylor expansion of PI in k 0.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.343 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [taylor]: Taking taylor expansion of (* n PI) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.349 * [taylor]: Taking taylor expansion of 0.5 in n 0.349 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of k in n 0.349 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.349 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.349 * [taylor]: Taking taylor expansion of 2.0 in n 0.349 * [taylor]: Taking taylor expansion of (* n PI) in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.360 * [taylor]: Taking taylor expansion of 0.5 in k 0.360 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.360 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.360 * [taylor]: Taking taylor expansion of 1.0 in k 0.360 * [taylor]: Taking taylor expansion of k in k 0.360 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.360 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.360 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.360 * [taylor]: Taking taylor expansion of 2.0 in k 0.360 * [taylor]: Taking taylor expansion of PI in k 0.361 * [taylor]: Taking taylor expansion of (log n) in k 0.361 * [taylor]: Taking taylor expansion of n in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.386 * [taylor]: Taking taylor expansion of 0 in k 0.404 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.405 * [taylor]: Taking taylor expansion of 0.5 in k 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.405 * [taylor]: Taking taylor expansion of 1.0 in k 0.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.405 * [taylor]: Taking taylor expansion of k in k 0.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.405 * [taylor]: Taking taylor expansion of 2.0 in k 0.405 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.405 * [taylor]: Taking taylor expansion of PI in k 0.405 * [taylor]: Taking taylor expansion of n in k 0.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.406 * [taylor]: Taking taylor expansion of 0.5 in n 0.406 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.406 * [taylor]: Taking taylor expansion of 1.0 in n 0.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.406 * [taylor]: Taking taylor expansion of k in n 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.406 * [taylor]: Taking taylor expansion of 2.0 in n 0.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.406 * [taylor]: Taking taylor expansion of PI in n 0.406 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.410 * [taylor]: Taking taylor expansion of 0.5 in n 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.410 * [taylor]: Taking taylor expansion of 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 (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 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.414 * [taylor]: Taking taylor expansion of 0.5 in k 0.415 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.415 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.415 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.415 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.415 * [taylor]: Taking taylor expansion of 2.0 in k 0.415 * [taylor]: Taking taylor expansion of PI in k 0.416 * [taylor]: Taking taylor expansion of (log n) in k 0.416 * [taylor]: Taking taylor expansion of n in k 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.416 * [taylor]: Taking taylor expansion of 1.0 in k 0.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.416 * [taylor]: Taking taylor expansion of k in k 0.425 * [taylor]: Taking taylor expansion of 0 in k 0.432 * [taylor]: Taking taylor expansion of 0 in k 0.446 * [taylor]: Taking taylor expansion of 0 in k 0.448 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.448 * [taylor]: Taking taylor expansion of 0.5 in k 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.448 * [taylor]: Taking taylor expansion of -2.0 in k 0.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.448 * [taylor]: Taking taylor expansion of PI in k 0.448 * [taylor]: Taking taylor expansion of n in k 0.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.449 * [taylor]: Taking taylor expansion of 0.5 in n 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.449 * [taylor]: Taking taylor expansion of k in n 0.449 * [taylor]: Taking taylor expansion of 1.0 in n 0.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.449 * [taylor]: Taking taylor expansion of -2.0 in n 0.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.453 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.453 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.453 * [taylor]: Taking taylor expansion of 0.5 in n 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.453 * [taylor]: Taking taylor expansion of k in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.453 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.453 * [taylor]: Taking taylor expansion of -2.0 in n 0.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.453 * [taylor]: Taking taylor expansion of PI in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.457 * [taylor]: Taking taylor expansion of 0.5 in k 0.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.457 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.457 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.457 * [taylor]: Taking taylor expansion of -2.0 in k 0.457 * [taylor]: Taking taylor expansion of PI in k 0.458 * [taylor]: Taking taylor expansion of (log n) in k 0.458 * [taylor]: Taking taylor expansion of n in k 0.467 * [taylor]: Taking taylor expansion of 0 in k 0.474 * [taylor]: Taking taylor expansion of 0 in k 0.483 * [taylor]: Taking taylor expansion of 0 in k 0.484 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.484 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.484 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.484 * [taylor]: Taking taylor expansion of 2.0 in n 0.484 * [taylor]: Taking taylor expansion of (* n PI) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of PI in n 0.484 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.484 * [taylor]: Taking taylor expansion of 2.0 in n 0.484 * [taylor]: Taking taylor expansion of (* n PI) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of PI in n 0.496 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.496 * [taylor]: Taking taylor expansion of 2.0 in n 0.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.496 * [taylor]: Taking taylor expansion of PI in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.496 * [taylor]: Taking taylor expansion of 2.0 in n 0.496 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.496 * [taylor]: Taking taylor expansion of PI in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.505 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.505 * [taylor]: Taking taylor expansion of -2.0 in n 0.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.505 * [taylor]: Taking taylor expansion of PI in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.505 * [taylor]: Taking taylor expansion of -2.0 in n 0.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.505 * [taylor]: Taking taylor expansion of PI in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.514 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.514 * [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 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.514 * [taylor]: Taking taylor expansion of k in n 0.514 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of k in n 0.515 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.515 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [taylor]: Taking taylor expansion of (* n PI) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of PI in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.520 * [taylor]: Taking taylor expansion of 1.0 in k 0.520 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.520 * [taylor]: Taking taylor expansion of k in k 0.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.521 * [taylor]: Taking taylor expansion of 0.5 in k 0.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.521 * [taylor]: Taking taylor expansion of 1.0 in k 0.521 * [taylor]: Taking taylor expansion of k in k 0.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.522 * [taylor]: Taking taylor expansion of 2.0 in k 0.522 * [taylor]: Taking taylor expansion of (* n PI) in k 0.522 * [taylor]: Taking taylor expansion of n in k 0.522 * [taylor]: Taking taylor expansion of PI in k 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.523 * [taylor]: Taking taylor expansion of 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 0.531 * [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 0.539 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log n) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.539 * [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 0.559 * [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 0.559 * [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 0.559 * [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 0.559 * [taylor]: Taking taylor expansion of +nan.0 in n 0.559 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.559 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.559 * [taylor]: Taking taylor expansion of 0.5 in n 0.559 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.559 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.559 * [taylor]: Taking taylor expansion of 1.0 in n 0.559 * [taylor]: Taking taylor expansion of (log PI) in n 0.559 * [taylor]: Taking taylor expansion of PI in n 0.561 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log n) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.567 * [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 0.567 * [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 0.567 * [taylor]: Taking taylor expansion of +nan.0 in n 0.567 * [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 0.567 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.567 * [taylor]: Taking taylor expansion of 0.5 in n 0.567 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.567 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.567 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.567 * [taylor]: Taking taylor expansion of 2.0 in n 0.569 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.569 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log PI) in n 0.569 * [taylor]: Taking taylor expansion of PI in n 0.571 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log n) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.575 * [taylor]: Taking taylor expansion of (* n PI) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.629 * [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 0.629 * [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 0.629 * [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 0.629 * [taylor]: Taking taylor expansion of +nan.0 in n 0.629 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.629 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.631 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.631 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (log n) in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.631 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.632 * [taylor]: Taking taylor expansion of 1.0 in n 0.632 * [taylor]: Taking taylor expansion of (log PI) in n 0.632 * [taylor]: Taking taylor expansion of PI in n 0.637 * [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 0.637 * [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 0.637 * [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 0.637 * [taylor]: Taking taylor expansion of +nan.0 in n 0.637 * [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 0.637 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.637 * [taylor]: Taking taylor expansion of 0.5 in n 0.637 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.637 * [taylor]: Taking taylor expansion of 2.0 in n 0.639 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.639 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (log PI) in n 0.639 * [taylor]: Taking taylor expansion of PI in n 0.641 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (log n) in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [taylor]: Taking taylor expansion of (* n PI) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.649 * [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 0.649 * [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 0.649 * [taylor]: Taking taylor expansion of +nan.0 in n 0.649 * [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 0.649 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.649 * [taylor]: Taking taylor expansion of 0.5 in n 0.649 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.649 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.649 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.649 * [taylor]: Taking taylor expansion of 1.0 in n 0.649 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.649 * [taylor]: Taking taylor expansion of 2.0 in n 0.651 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.651 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.651 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.651 * [taylor]: Taking taylor expansion of 1.0 in n 0.651 * [taylor]: Taking taylor expansion of (log PI) in n 0.651 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.653 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.653 * [taylor]: Taking taylor expansion of 1.0 in n 0.653 * [taylor]: Taking taylor expansion of (log n) in n 0.653 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (* n PI) in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.734 * [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 0.734 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.734 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.734 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.734 * [taylor]: Taking taylor expansion of 0.5 in n 0.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.734 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.734 * [taylor]: Taking taylor expansion of 2.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.734 * [taylor]: Taking taylor expansion of PI in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.738 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.740 * [taylor]: Taking taylor expansion of 0.5 in k 0.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.740 * [taylor]: Taking taylor expansion of 2.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.740 * [taylor]: Taking taylor expansion of n in k 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.742 * [taylor]: Taking taylor expansion of 0.5 in k 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.743 * [taylor]: Taking taylor expansion of 1.0 in k 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.743 * [taylor]: Taking taylor expansion of k in k 0.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.743 * [taylor]: Taking taylor expansion of 2.0 in k 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.743 * [taylor]: Taking taylor expansion of PI in k 0.743 * [taylor]: Taking taylor expansion of n in k 0.744 * [taylor]: Taking taylor expansion of 0 in n 0.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.745 * [taylor]: Taking taylor expansion of +nan.0 in n 0.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.745 * [taylor]: Taking taylor expansion of 0.5 in n 0.745 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.745 * [taylor]: Taking taylor expansion of 2.0 in n 0.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.745 * [taylor]: Taking taylor expansion of PI in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.747 * [taylor]: Taking taylor expansion of 1.0 in n 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.747 * [taylor]: Taking taylor expansion of k in n 0.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.755 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.755 * [taylor]: Taking taylor expansion of +nan.0 in n 0.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.755 * [taylor]: Taking taylor expansion of 0.5 in n 0.755 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.755 * [taylor]: Taking taylor expansion of 2.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.755 * [taylor]: Taking taylor expansion of PI in n 0.755 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.756 * [taylor]: Taking taylor expansion of 1.0 in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.773 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.773 * [taylor]: Taking taylor expansion of +nan.0 in n 0.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.773 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.773 * [taylor]: Taking taylor expansion of 0.5 in n 0.773 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.773 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.773 * [taylor]: Taking taylor expansion of 2.0 in n 0.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.773 * [taylor]: Taking taylor expansion of PI in n 0.773 * [taylor]: Taking taylor expansion of n in n 0.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.774 * [taylor]: Taking taylor expansion of 1.0 in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.774 * [taylor]: Taking taylor expansion of k in n 0.782 * [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 0.782 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.782 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.783 * [taylor]: Taking taylor expansion of 0.5 in n 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.783 * [taylor]: Taking taylor expansion of k in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.783 * [taylor]: Taking taylor expansion of -2.0 in n 0.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.783 * [taylor]: Taking taylor expansion of PI in n 0.783 * [taylor]: Taking taylor expansion of n in n 0.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.786 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.786 * [taylor]: Taking taylor expansion of -1 in n 0.786 * [taylor]: Taking taylor expansion of k in n 0.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.787 * [taylor]: Taking taylor expansion of 1.0 in k 0.788 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.788 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.788 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.788 * [taylor]: Taking taylor expansion of 0.5 in k 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.788 * [taylor]: Taking taylor expansion of k in k 0.788 * [taylor]: Taking taylor expansion of 1.0 in k 0.788 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.788 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.788 * [taylor]: Taking taylor expansion of -2.0 in k 0.788 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.788 * [taylor]: Taking taylor expansion of PI in k 0.788 * [taylor]: Taking taylor expansion of n in k 0.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.789 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.789 * [taylor]: Taking taylor expansion of -1 in k 0.789 * [taylor]: Taking taylor expansion of k in k 0.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.795 * [taylor]: Taking taylor expansion of 1.0 in k 0.795 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.795 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.795 * [taylor]: Taking taylor expansion of 0.5 in k 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.795 * [taylor]: Taking taylor expansion of k in k 0.795 * [taylor]: Taking taylor expansion of 1.0 in k 0.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.795 * [taylor]: Taking taylor expansion of -2.0 in k 0.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.795 * [taylor]: Taking taylor expansion of PI in k 0.795 * [taylor]: Taking taylor expansion of n in k 0.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.796 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.796 * [taylor]: Taking taylor expansion of -1 in k 0.796 * [taylor]: Taking taylor expansion of k in k 0.798 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.798 * [taylor]: Taking taylor expansion of +nan.0 in n 0.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.798 * [taylor]: Taking taylor expansion of 0.5 in n 0.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.798 * [taylor]: Taking taylor expansion of k in n 0.798 * [taylor]: Taking taylor expansion of 1.0 in n 0.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.798 * [taylor]: Taking taylor expansion of -2.0 in n 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.798 * [taylor]: Taking taylor expansion of PI in n 0.798 * [taylor]: Taking taylor expansion of n in n 0.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.807 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.807 * [taylor]: Taking taylor expansion of +nan.0 in n 0.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.807 * [taylor]: Taking taylor expansion of 0.5 in n 0.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.807 * [taylor]: Taking taylor expansion of k in n 0.807 * [taylor]: Taking taylor expansion of 1.0 in n 0.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.807 * [taylor]: Taking taylor expansion of -2.0 in n 0.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.825 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.825 * [taylor]: Taking taylor expansion of +nan.0 in n 0.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.825 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.825 * [taylor]: Taking taylor expansion of 0.5 in n 0.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.825 * [taylor]: Taking taylor expansion of k in n 0.825 * [taylor]: Taking taylor expansion of 1.0 in n 0.825 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.825 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.825 * [taylor]: Taking taylor expansion of -2.0 in n 0.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.825 * [taylor]: Taking taylor expansion of PI in n 0.825 * [taylor]: Taking taylor expansion of n in n 0.835 * * * [progress]: simplifying candidates 0.837 * [simplify]: Simplifying using # : (- (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 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 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))) 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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))) (+ (- (* +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))) (- (- (+ (+ (* (* 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 (* (* (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)))) 0.931 * * * [progress]: adding candidates to table 1.335 * * [progress]: iteration 2 / 4 1.335 * * * [progress]: picking best candidate 1.368 * * * * [pick]: Picked # 1.368 * * * [progress]: localizing error 1.386 * * * [progress]: generating rewritten candidates 1.386 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.410 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.423 * * * [progress]: generating series expansions 1.423 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.423 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 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 1.423 * [taylor]: Taking taylor expansion of n in n 1.423 * [taylor]: Taking taylor expansion of 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 1.423 * [taylor]: Taking taylor expansion of n in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.436 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.436 * [taylor]: Taking taylor expansion of 2.0 in n 1.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.436 * [taylor]: Taking taylor expansion of PI in n 1.436 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.436 * [taylor]: Taking taylor expansion of 2.0 in n 1.436 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.436 * [taylor]: Taking taylor expansion of PI in n 1.436 * [taylor]: Taking taylor expansion of n in n 1.450 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of -2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of -2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.459 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2.0 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2.0 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.471 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of 2.0 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.480 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.481 * [taylor]: Taking taylor expansion of -2.0 in n 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.481 * [taylor]: Taking taylor expansion of -2.0 in n 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.490 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.491 * [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 1.491 * [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 1.491 * [taylor]: Taking taylor expansion of 1.0 in k 1.491 * [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 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.491 * [taylor]: Taking taylor expansion of k in k 1.492 * [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 1.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.493 * [taylor]: Taking taylor expansion of 0.5 in k 1.493 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.493 * [taylor]: Taking taylor expansion of 1.0 in k 1.493 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.493 * [taylor]: Taking taylor expansion of 2.0 in k 1.494 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.495 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (log n) in k 1.495 * [taylor]: Taking taylor expansion of n in k 1.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (log PI) in k 1.495 * [taylor]: Taking taylor expansion of PI in k 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.500 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.500 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.500 * [taylor]: Taking taylor expansion of 0.5 in k 1.500 * [taylor]: Taking taylor expansion of k in k 1.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.500 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.500 * [taylor]: Taking taylor expansion of 2.0 in k 1.500 * [taylor]: Taking taylor expansion of (* n PI) in k 1.500 * [taylor]: Taking taylor expansion of n in k 1.500 * [taylor]: Taking taylor expansion of PI in k 1.503 * [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 1.503 * [taylor]: Taking taylor expansion of 1.0 in n 1.503 * [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 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 (* (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 1.503 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.504 * [taylor]: Taking taylor expansion of 0.5 in n 1.504 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.504 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.505 * [taylor]: Taking taylor expansion of 1.0 in n 1.506 * [taylor]: Taking taylor expansion of (log n) in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.506 * [taylor]: Taking taylor expansion of 1.0 in n 1.506 * [taylor]: Taking taylor expansion of (log PI) in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.512 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.512 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.512 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.512 * [taylor]: Taking taylor expansion of 0.5 in n 1.512 * [taylor]: Taking taylor expansion of k in n 1.512 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.512 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.512 * [taylor]: Taking taylor expansion of 2.0 in n 1.512 * [taylor]: Taking taylor expansion of (* n PI) in n 1.512 * [taylor]: Taking taylor expansion of n in n 1.512 * [taylor]: Taking taylor expansion of PI in n 1.518 * [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 1.518 * [taylor]: Taking taylor expansion of 1.0 in n 1.518 * [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 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.518 * [taylor]: Taking taylor expansion of k in n 1.518 * [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 1.518 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.518 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.518 * [taylor]: Taking taylor expansion of 0.5 in n 1.518 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.518 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.518 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.518 * [taylor]: Taking taylor expansion of 1.0 in n 1.518 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.520 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.520 * [taylor]: Taking taylor expansion of 1.0 in n 1.520 * [taylor]: Taking taylor expansion of (log n) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.521 * [taylor]: Taking taylor expansion of 1.0 in n 1.521 * [taylor]: Taking taylor expansion of (log PI) in n 1.521 * [taylor]: Taking taylor expansion of PI in n 1.526 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.526 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.526 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.526 * [taylor]: Taking taylor expansion of 0.5 in n 1.526 * [taylor]: Taking taylor expansion of k in n 1.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.526 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.526 * [taylor]: Taking taylor expansion of 2.0 in n 1.526 * [taylor]: Taking taylor expansion of (* n PI) in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.526 * [taylor]: Taking taylor expansion of PI in n 1.543 * [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 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [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 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.543 * [taylor]: Taking taylor expansion of k in k 1.544 * [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 1.544 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.544 * [taylor]: Taking taylor expansion of 0.5 in k 1.544 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.544 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.544 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.544 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.544 * [taylor]: Taking taylor expansion of 1.0 in k 1.544 * [taylor]: Taking taylor expansion of (log PI) in k 1.544 * [taylor]: Taking taylor expansion of PI in k 1.546 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.546 * [taylor]: Taking taylor expansion of 1.0 in k 1.546 * [taylor]: Taking taylor expansion of (log n) in k 1.546 * [taylor]: Taking taylor expansion of n in k 1.546 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.546 * [taylor]: Taking taylor expansion of 1.0 in k 1.547 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.547 * [taylor]: Taking taylor expansion of 2.0 in k 1.552 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.552 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.552 * [taylor]: Taking taylor expansion of 0.5 in k 1.552 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.552 * [taylor]: Taking taylor expansion of k in k 1.552 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.552 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.552 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.552 * [taylor]: Taking taylor expansion of 2.0 in k 1.552 * [taylor]: Taking taylor expansion of PI in k 1.553 * [taylor]: Taking taylor expansion of (log n) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.583 * [taylor]: Taking taylor expansion of 0 in k 1.640 * [taylor]: Taking taylor expansion of 0 in k 1.738 * [taylor]: Taking taylor expansion of 0 in k 1.854 * [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 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of 1.0 in k 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.854 * [taylor]: Taking taylor expansion of k in k 1.855 * [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 1.855 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.855 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.855 * [taylor]: Taking taylor expansion of 0.5 in k 1.855 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.855 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.856 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.856 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.856 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.856 * [taylor]: Taking taylor expansion of 1.0 in k 1.856 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.856 * [taylor]: Taking taylor expansion of 2.0 in k 1.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.857 * [taylor]: Taking taylor expansion of 1.0 in k 1.857 * [taylor]: Taking taylor expansion of (log PI) in k 1.857 * [taylor]: Taking taylor expansion of PI in k 1.859 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.859 * [taylor]: Taking taylor expansion of (log n) in k 1.860 * [taylor]: Taking taylor expansion of n in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.867 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.867 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.867 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.867 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.867 * [taylor]: Taking taylor expansion of 0.5 in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.867 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.867 * [taylor]: Taking taylor expansion of 2.0 in k 1.867 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.867 * [taylor]: Taking taylor expansion of PI in k 1.867 * [taylor]: Taking taylor expansion of n in k 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of 1.0 in n 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.867 * [taylor]: Taking taylor expansion of k in n 1.868 * [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 1.868 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.868 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.868 * [taylor]: Taking taylor expansion of 0.5 in n 1.868 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.868 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.868 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.868 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.868 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.868 * [taylor]: Taking taylor expansion of 1.0 in n 1.868 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.868 * [taylor]: Taking taylor expansion of 2.0 in n 1.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.870 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.870 * [taylor]: Taking taylor expansion of 1.0 in n 1.870 * [taylor]: Taking taylor expansion of (log PI) in n 1.870 * [taylor]: Taking taylor expansion of PI in n 1.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (log n) in n 1.871 * [taylor]: Taking taylor expansion of n in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.884 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.884 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.884 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.884 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.884 * [taylor]: Taking taylor expansion of 0.5 in n 1.884 * [taylor]: Taking taylor expansion of k in n 1.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.884 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.884 * [taylor]: Taking taylor expansion of 2.0 in n 1.884 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.884 * [taylor]: Taking taylor expansion of PI in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.888 * [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 1.888 * [taylor]: Taking taylor expansion of 1.0 in n 1.888 * [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 1.888 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.888 * [taylor]: Taking taylor expansion of k in n 1.888 * [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 1.888 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.888 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.888 * [taylor]: Taking taylor expansion of 0.5 in n 1.888 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.889 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.889 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.889 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.889 * [taylor]: Taking taylor expansion of 2.0 in n 1.890 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.890 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.890 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.890 * [taylor]: Taking taylor expansion of 1.0 in n 1.890 * [taylor]: Taking taylor expansion of (log PI) in n 1.890 * [taylor]: Taking taylor expansion of PI in n 1.892 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.892 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.892 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.892 * [taylor]: Taking taylor expansion of 1.0 in n 1.892 * [taylor]: Taking taylor expansion of (log n) in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.899 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.899 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.899 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.899 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.899 * [taylor]: Taking taylor expansion of 0.5 in n 1.899 * [taylor]: Taking taylor expansion of k in n 1.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.910 * [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 1.910 * [taylor]: Taking taylor expansion of 1.0 in k 1.910 * [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 1.910 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.910 * [taylor]: Taking taylor expansion of k in k 1.911 * [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 1.911 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.911 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.911 * [taylor]: Taking taylor expansion of 0.5 in k 1.911 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.911 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.911 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.911 * [taylor]: Taking taylor expansion of 1.0 in k 1.911 * [taylor]: Taking taylor expansion of (log PI) in k 1.911 * [taylor]: Taking taylor expansion of PI in k 1.913 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.913 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.913 * [taylor]: Taking taylor expansion of 2.0 in k 1.915 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.915 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.915 * [taylor]: Taking taylor expansion of 1.0 in k 1.915 * [taylor]: Taking taylor expansion of (log n) in k 1.915 * [taylor]: Taking taylor expansion of n in k 1.922 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.922 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.922 * [taylor]: Taking taylor expansion of 0.5 in k 1.922 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.922 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.922 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.922 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.922 * [taylor]: Taking taylor expansion of 2.0 in k 1.922 * [taylor]: Taking taylor expansion of PI in k 1.923 * [taylor]: Taking taylor expansion of (log n) in k 1.923 * [taylor]: Taking taylor expansion of n in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.955 * [taylor]: Taking taylor expansion of 0 in k 2.017 * [taylor]: Taking taylor expansion of 0 in k 2.101 * [taylor]: Taking taylor expansion of 0 in k 2.158 * [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 2.158 * [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 2.158 * [taylor]: Taking taylor expansion of 1.0 in k 2.158 * [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 2.159 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.159 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.159 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.159 * [taylor]: Taking taylor expansion of -1 in k 2.159 * [taylor]: Taking taylor expansion of k in k 2.160 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.160 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.160 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.160 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.160 * [taylor]: Taking taylor expansion of -0.5 in k 2.160 * [taylor]: Taking taylor expansion of k in k 2.160 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.160 * [taylor]: Taking taylor expansion of -2.0 in k 2.160 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.160 * [taylor]: Taking taylor expansion of PI in k 2.160 * [taylor]: Taking taylor expansion of n in k 2.161 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.161 * [taylor]: Taking taylor expansion of 0.5 in k 2.162 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.162 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.162 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.162 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.162 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.162 * [taylor]: Taking taylor expansion of 1.0 in k 2.162 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.162 * [taylor]: Taking taylor expansion of -2.0 in k 2.163 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.163 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.163 * [taylor]: Taking taylor expansion of 1.0 in k 2.163 * [taylor]: Taking taylor expansion of (log PI) in k 2.163 * [taylor]: Taking taylor expansion of PI in k 2.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.165 * [taylor]: Taking taylor expansion of 1.0 in k 2.165 * [taylor]: Taking taylor expansion of (log n) in k 2.165 * [taylor]: Taking taylor expansion of n in k 2.172 * [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 2.172 * [taylor]: Taking taylor expansion of 1.0 in n 2.172 * [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 2.172 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.172 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.172 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.172 * [taylor]: Taking taylor expansion of -1 in n 2.172 * [taylor]: Taking taylor expansion of k in n 2.172 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.172 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.172 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.172 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.172 * [taylor]: Taking taylor expansion of -0.5 in n 2.172 * [taylor]: Taking taylor expansion of k in n 2.172 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.172 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.172 * [taylor]: Taking taylor expansion of -2.0 in n 2.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.172 * [taylor]: Taking taylor expansion of PI in n 2.172 * [taylor]: Taking taylor expansion of n in n 2.177 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.177 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.177 * [taylor]: Taking taylor expansion of 0.5 in n 2.177 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.177 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.177 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.177 * [taylor]: Taking taylor expansion of -2.0 in n 2.179 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.179 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.179 * [taylor]: Taking taylor expansion of 1.0 in n 2.179 * [taylor]: Taking taylor expansion of (log PI) in n 2.179 * [taylor]: Taking taylor expansion of PI in n 2.181 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.181 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.181 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.181 * [taylor]: Taking taylor expansion of 1.0 in n 2.181 * [taylor]: Taking taylor expansion of (log n) in n 2.181 * [taylor]: Taking taylor expansion of n in n 2.188 * [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 2.188 * [taylor]: Taking taylor expansion of 1.0 in n 2.188 * [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 2.188 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.188 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.188 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.188 * [taylor]: Taking taylor expansion of -1 in n 2.188 * [taylor]: Taking taylor expansion of k in n 2.188 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.188 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.188 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.188 * [taylor]: Taking taylor expansion of -0.5 in n 2.188 * [taylor]: Taking taylor expansion of k in n 2.189 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.189 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.189 * [taylor]: Taking taylor expansion of -2.0 in n 2.189 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.189 * [taylor]: Taking taylor expansion of PI in n 2.189 * [taylor]: Taking taylor expansion of n in n 2.193 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.193 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.194 * [taylor]: Taking taylor expansion of 0.5 in n 2.194 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.194 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.194 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.194 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.194 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.194 * [taylor]: Taking taylor expansion of 1.0 in n 2.194 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.194 * [taylor]: Taking taylor expansion of -2.0 in n 2.195 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.195 * [taylor]: Taking taylor expansion of 1.0 in n 2.195 * [taylor]: Taking taylor expansion of (log PI) in n 2.195 * [taylor]: Taking taylor expansion of PI in n 2.197 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.197 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.197 * [taylor]: Taking taylor expansion of 1.0 in n 2.197 * [taylor]: Taking taylor expansion of (log n) in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.208 * [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 2.208 * [taylor]: Taking taylor expansion of 1.0 in k 2.208 * [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 2.208 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.209 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.209 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.209 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.209 * [taylor]: Taking taylor expansion of -0.5 in k 2.209 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.209 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.209 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.209 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.209 * [taylor]: Taking taylor expansion of -2.0 in k 2.209 * [taylor]: Taking taylor expansion of PI in k 2.210 * [taylor]: Taking taylor expansion of (log n) in k 2.210 * [taylor]: Taking taylor expansion of n in k 2.210 * [taylor]: Taking taylor expansion of k in k 2.213 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.213 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.213 * [taylor]: Taking taylor expansion of -1 in k 2.213 * [taylor]: Taking taylor expansion of k in k 2.216 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.216 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.216 * [taylor]: Taking taylor expansion of 0.5 in k 2.216 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.216 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.216 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.217 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.217 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.217 * [taylor]: Taking taylor expansion of 1.0 in k 2.217 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.217 * [taylor]: Taking taylor expansion of -2.0 in k 2.218 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.218 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.218 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.218 * [taylor]: Taking taylor expansion of 1.0 in k 2.218 * [taylor]: Taking taylor expansion of (log PI) in k 2.218 * [taylor]: Taking taylor expansion of PI in k 2.220 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.220 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.220 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.220 * [taylor]: Taking taylor expansion of 1.0 in k 2.220 * [taylor]: Taking taylor expansion of (log n) in k 2.220 * [taylor]: Taking taylor expansion of n in k 2.263 * [taylor]: Taking taylor expansion of 0 in k 2.329 * [taylor]: Taking taylor expansion of 0 in k 2.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.374 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.374 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.374 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.374 * [taylor]: Taking taylor expansion of 0.5 in n 2.374 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.374 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.374 * [taylor]: Taking taylor expansion of 2.0 in n 2.374 * [taylor]: Taking taylor expansion of (* n PI) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of PI in n 2.380 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.380 * [taylor]: Taking taylor expansion of 0.5 in n 2.380 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.380 * [taylor]: Taking taylor expansion of 2.0 in n 2.380 * [taylor]: Taking taylor expansion of (* n PI) in n 2.380 * [taylor]: Taking taylor expansion of n in n 2.380 * [taylor]: Taking taylor expansion of PI in n 2.463 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.463 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.463 * [taylor]: Taking taylor expansion of 0.5 in n 2.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.463 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.463 * [taylor]: Taking taylor expansion of 2.0 in n 2.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.463 * [taylor]: Taking taylor expansion of PI in n 2.463 * [taylor]: Taking taylor expansion of n in n 2.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.467 * [taylor]: Taking taylor expansion of 2.0 in n 2.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.547 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.547 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.547 * [taylor]: Taking taylor expansion of 0.5 in n 2.547 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.547 * [taylor]: Taking taylor expansion of -2.0 in n 2.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.547 * [taylor]: Taking taylor expansion of PI in n 2.547 * [taylor]: Taking taylor expansion of n in n 2.551 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.551 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.551 * [taylor]: Taking taylor expansion of 0.5 in n 2.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI 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 2.640 * * * [progress]: simplifying candidates 2.642 * [simplify]: Simplifying using # : (* (* 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))))) (- 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(/ 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))) (* (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) (* (* 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))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.738 * * * [progress]: adding candidates to table 2.998 * * [progress]: iteration 3 / 4 2.998 * * * [progress]: picking best candidate 3.029 * * * * [pick]: Picked # 3.030 * * * [progress]: localizing error 3.048 * * * [progress]: generating rewritten candidates 3.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.051 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.057 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.064 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.111 * * * [progress]: generating series expansions 3.111 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.112 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.112 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.112 * [taylor]: Taking taylor expansion of 1.0 in k 3.112 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.112 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.112 * [taylor]: Taking taylor expansion of k in k 3.113 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.113 * [taylor]: Taking taylor expansion of 1.0 in k 3.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.114 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.114 * [taylor]: Taking taylor expansion of k in k 3.125 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.125 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.125 * [taylor]: Taking taylor expansion of 1.0 in k 3.125 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.125 * [taylor]: Taking taylor expansion of k in k 3.126 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.126 * [taylor]: Taking taylor expansion of 1.0 in k 3.126 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.126 * [taylor]: Taking taylor expansion of k in k 3.136 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.136 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.136 * [taylor]: Taking taylor expansion of -1 in k 3.136 * [taylor]: Taking taylor expansion of k in k 3.138 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.138 * [taylor]: Taking taylor expansion of 1.0 in k 3.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.138 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.138 * [taylor]: Taking taylor expansion of -1 in k 3.138 * [taylor]: Taking taylor expansion of k in k 3.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.149 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.149 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.149 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (* n PI) in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.150 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (* n PI) in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.162 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.162 * [taylor]: Taking taylor expansion of 2.0 in n 3.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.162 * [taylor]: Taking taylor expansion of PI in n 3.162 * [taylor]: Taking taylor expansion of n in n 3.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.162 * [taylor]: Taking taylor expansion of 2.0 in n 3.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.162 * [taylor]: Taking taylor expansion of PI in n 3.162 * [taylor]: Taking taylor expansion of n in n 3.172 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.172 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.172 * [taylor]: Taking taylor expansion of -2.0 in n 3.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.172 * [taylor]: Taking taylor expansion of PI in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.172 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.172 * [taylor]: Taking taylor expansion of -2.0 in n 3.172 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.172 * [taylor]: Taking taylor expansion of PI in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.181 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.181 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.181 * [taylor]: Taking taylor expansion of 2.0 in n 3.181 * [taylor]: Taking taylor expansion of (* n PI) in n 3.181 * [taylor]: Taking taylor expansion of n in n 3.181 * [taylor]: Taking taylor expansion of PI in n 3.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.181 * [taylor]: Taking taylor expansion of 2.0 in n 3.181 * [taylor]: Taking taylor expansion of (* n PI) in n 3.181 * [taylor]: Taking taylor expansion of n in n 3.181 * [taylor]: Taking taylor expansion of PI in n 3.199 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.199 * [taylor]: Taking taylor expansion of 2.0 in n 3.199 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.199 * [taylor]: Taking taylor expansion of PI in n 3.199 * [taylor]: Taking taylor expansion of n in n 3.200 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.200 * [taylor]: Taking taylor expansion of 2.0 in n 3.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.200 * [taylor]: Taking taylor expansion of PI in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.208 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.208 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.208 * [taylor]: Taking taylor expansion of -2.0 in n 3.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.208 * [taylor]: Taking taylor expansion of PI in n 3.208 * [taylor]: Taking taylor expansion of n in n 3.209 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.209 * [taylor]: Taking taylor expansion of -2.0 in n 3.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.209 * [taylor]: Taking taylor expansion of PI in n 3.209 * [taylor]: Taking taylor expansion of n in n 3.217 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.219 * [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 (k n) around 0 3.219 * [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 3.219 * [taylor]: Taking taylor expansion of 1.0 in n 3.219 * [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 3.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.219 * [taylor]: Taking taylor expansion of k in n 3.219 * [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 3.219 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.219 * [taylor]: Taking taylor expansion of 0.5 in n 3.219 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.219 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.219 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.219 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.219 * [taylor]: Taking taylor expansion of 1.0 in n 3.219 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.221 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.221 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.221 * [taylor]: Taking taylor expansion of 1.0 in n 3.221 * [taylor]: Taking taylor expansion of (log n) in n 3.221 * [taylor]: Taking taylor expansion of n in n 3.221 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.222 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.222 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.222 * [taylor]: Taking taylor expansion of 1.0 in n 3.222 * [taylor]: Taking taylor expansion of (log PI) in n 3.222 * [taylor]: Taking taylor expansion of PI in n 3.227 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.227 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.227 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.227 * [taylor]: Taking taylor expansion of 0.5 in n 3.227 * [taylor]: Taking taylor expansion of k in n 3.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.227 * [taylor]: Taking taylor expansion of 2.0 in n 3.227 * [taylor]: Taking taylor expansion of (* n PI) in n 3.227 * [taylor]: Taking taylor expansion of n in n 3.227 * [taylor]: Taking taylor expansion of PI in n 3.233 * [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 3.233 * [taylor]: Taking taylor expansion of 1.0 in k 3.233 * [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 3.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.233 * [taylor]: Taking taylor expansion of k in k 3.234 * [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 3.234 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.234 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.234 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.235 * [taylor]: Taking taylor expansion of 0.5 in k 3.235 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.235 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.235 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.235 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.235 * [taylor]: Taking taylor expansion of 1.0 in k 3.235 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.235 * [taylor]: Taking taylor expansion of 2.0 in k 3.236 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.236 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.236 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.236 * [taylor]: Taking taylor expansion of 1.0 in k 3.236 * [taylor]: Taking taylor expansion of (log n) in k 3.236 * [taylor]: Taking taylor expansion of n in k 3.237 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (log PI) in k 3.237 * [taylor]: Taking taylor expansion of PI in k 3.242 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.242 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.242 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.242 * [taylor]: Taking taylor expansion of 0.5 in k 3.242 * [taylor]: Taking taylor expansion of k in k 3.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.242 * [taylor]: Taking taylor expansion of 2.0 in k 3.242 * [taylor]: Taking taylor expansion of (* n PI) in k 3.242 * [taylor]: Taking taylor expansion of n in k 3.242 * [taylor]: Taking taylor expansion of PI in k 3.245 * [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 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [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 3.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.245 * [taylor]: Taking taylor expansion of k in k 3.247 * [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 3.247 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.247 * [taylor]: Taking taylor expansion of 0.5 in k 3.247 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.247 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.247 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.247 * [taylor]: Taking taylor expansion of 1.0 in k 3.247 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.247 * [taylor]: Taking taylor expansion of 2.0 in k 3.248 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.248 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (log n) in k 3.249 * [taylor]: Taking taylor expansion of n in k 3.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (log PI) in k 3.249 * [taylor]: Taking taylor expansion of PI in k 3.254 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.254 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.254 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.254 * [taylor]: Taking taylor expansion of 0.5 in k 3.254 * [taylor]: Taking taylor expansion of k in k 3.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.254 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.254 * [taylor]: Taking taylor expansion of 2.0 in k 3.254 * [taylor]: Taking taylor expansion of (* n PI) in k 3.254 * [taylor]: Taking taylor expansion of n in k 3.254 * [taylor]: Taking taylor expansion of PI in k 3.259 * [taylor]: Taking taylor expansion of 0 in n 3.280 * [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 3.280 * [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 3.280 * [taylor]: Taking taylor expansion of +nan.0 in n 3.280 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.280 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.280 * [taylor]: Taking taylor expansion of 0.5 in n 3.280 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.280 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.280 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.280 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.280 * [taylor]: Taking taylor expansion of 1.0 in n 3.280 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.280 * [taylor]: Taking taylor expansion of 2.0 in n 3.282 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.282 * [taylor]: Taking taylor expansion of 1.0 in n 3.282 * [taylor]: Taking taylor expansion of (log n) in n 3.282 * [taylor]: Taking taylor expansion of n in n 3.282 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.282 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.282 * [taylor]: Taking taylor expansion of 1.0 in n 3.282 * [taylor]: Taking taylor expansion of (log PI) in n 3.282 * [taylor]: Taking taylor expansion of PI in n 3.319 * [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)))))))) in n 3.319 * [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))))))) in n 3.319 * [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 3.319 * [taylor]: Taking taylor expansion of +nan.0 in n 3.319 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.319 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.319 * [taylor]: Taking taylor expansion of 0.5 in n 3.319 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.319 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.319 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.319 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.319 * [taylor]: Taking taylor expansion of 1.0 in n 3.319 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.319 * [taylor]: Taking taylor expansion of 2.0 in n 3.321 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.321 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.321 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.321 * [taylor]: Taking taylor expansion of 1.0 in n 3.321 * [taylor]: Taking taylor expansion of (log n) in n 3.321 * [taylor]: Taking taylor expansion of n in n 3.321 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.321 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.321 * [taylor]: Taking taylor expansion of 1.0 in n 3.322 * [taylor]: Taking taylor expansion of (log PI) in n 3.322 * [taylor]: Taking taylor expansion of PI in n 3.327 * [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 3.327 * [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 3.327 * [taylor]: Taking taylor expansion of +nan.0 in n 3.327 * [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 3.327 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.327 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.327 * [taylor]: Taking taylor expansion of 0.5 in n 3.327 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.327 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.327 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.327 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.327 * [taylor]: Taking taylor expansion of 1.0 in n 3.327 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.327 * [taylor]: Taking taylor expansion of 2.0 in n 3.329 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.329 * [taylor]: Taking taylor expansion of 1.0 in n 3.329 * [taylor]: Taking taylor expansion of (log PI) in n 3.329 * [taylor]: Taking taylor expansion of PI in n 3.331 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.331 * [taylor]: Taking taylor expansion of 1.0 in n 3.331 * [taylor]: Taking taylor expansion of (log n) in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (* n PI) in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of PI in n 3.413 * [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))))) (- (* +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 3.413 * [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))))) (- (* +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 3.413 * [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 3.413 * [taylor]: Taking taylor expansion of +nan.0 in n 3.413 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.413 * [taylor]: Taking taylor expansion of 0.5 in n 3.413 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.413 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.413 * [taylor]: Taking taylor expansion of 1.0 in n 3.413 * [taylor]: Taking taylor expansion of (log PI) in n 3.413 * [taylor]: Taking taylor expansion of PI in n 3.415 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.415 * [taylor]: Taking taylor expansion of 1.0 in n 3.415 * [taylor]: Taking taylor expansion of (log n) in n 3.415 * [taylor]: Taking taylor expansion of n in n 3.415 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.415 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.415 * [taylor]: Taking taylor expansion of 1.0 in n 3.416 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.416 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [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 3.421 * [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 3.421 * [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 3.421 * [taylor]: Taking taylor expansion of +nan.0 in n 3.421 * [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 3.421 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.421 * [taylor]: Taking taylor expansion of 0.5 in n 3.421 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.421 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.423 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log PI) in n 3.423 * [taylor]: Taking taylor expansion of PI in n 3.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.425 * [taylor]: Taking taylor expansion of 1.0 in n 3.425 * [taylor]: Taking taylor expansion of (log n) in n 3.425 * [taylor]: Taking taylor expansion of n in n 3.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.429 * [taylor]: Taking taylor expansion of 2.0 in n 3.429 * [taylor]: Taking taylor expansion of (* n PI) in n 3.429 * [taylor]: Taking taylor expansion of n in n 3.429 * [taylor]: Taking taylor expansion of PI in n 3.432 * [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 3.432 * [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 3.432 * [taylor]: Taking taylor expansion of +nan.0 in n 3.432 * [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 3.432 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.432 * [taylor]: Taking taylor expansion of 0.5 in n 3.432 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.432 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.432 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.432 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.432 * [taylor]: Taking taylor expansion of 2.0 in n 3.434 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.434 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.434 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.434 * [taylor]: Taking taylor expansion of 1.0 in n 3.434 * [taylor]: Taking taylor expansion of (log PI) in n 3.434 * [taylor]: Taking taylor expansion of PI in n 3.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.437 * [taylor]: Taking taylor expansion of (log n) in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.441 * [taylor]: Taking taylor expansion of 2.0 in n 3.441 * [taylor]: Taking taylor expansion of (* n PI) in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.519 * [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 (k n) around 0 3.520 * [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 3.520 * [taylor]: Taking taylor expansion of 1.0 in n 3.520 * [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 3.520 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.520 * [taylor]: Taking taylor expansion of k in n 3.520 * [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 3.520 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.520 * [taylor]: Taking taylor expansion of 0.5 in n 3.520 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.520 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.520 * [taylor]: Taking taylor expansion of 1.0 in n 3.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.520 * [taylor]: Taking taylor expansion of 2.0 in n 3.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.522 * [taylor]: Taking taylor expansion of 1.0 in n 3.522 * [taylor]: Taking taylor expansion of (log PI) in n 3.522 * [taylor]: Taking taylor expansion of PI in n 3.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.524 * [taylor]: Taking taylor expansion of 1.0 in n 3.524 * [taylor]: Taking taylor expansion of (log n) in n 3.524 * [taylor]: Taking taylor expansion of n in n 3.531 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.531 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.531 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.531 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.531 * [taylor]: Taking taylor expansion of 0.5 in n 3.531 * [taylor]: Taking taylor expansion of k in n 3.531 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.531 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.531 * [taylor]: Taking taylor expansion of 2.0 in n 3.531 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.531 * [taylor]: Taking taylor expansion of PI in n 3.531 * [taylor]: Taking taylor expansion of n in n 3.535 * [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 3.535 * [taylor]: Taking taylor expansion of 1.0 in k 3.535 * [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 3.535 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.535 * [taylor]: Taking taylor expansion of k in k 3.537 * [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 3.537 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.537 * [taylor]: Taking taylor expansion of 0.5 in k 3.537 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.537 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.537 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.537 * [taylor]: Taking taylor expansion of 1.0 in k 3.537 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.537 * [taylor]: Taking taylor expansion of 2.0 in k 3.544 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.544 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.544 * [taylor]: Taking taylor expansion of 1.0 in k 3.544 * [taylor]: Taking taylor expansion of (log PI) in k 3.544 * [taylor]: Taking taylor expansion of PI in k 3.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.546 * [taylor]: Taking taylor expansion of 1.0 in k 3.546 * [taylor]: Taking taylor expansion of (log n) in k 3.546 * [taylor]: Taking taylor expansion of n in k 3.552 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.552 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.552 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.552 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.552 * [taylor]: Taking taylor expansion of 0.5 in k 3.552 * [taylor]: Taking taylor expansion of k in k 3.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.552 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.553 * [taylor]: Taking taylor expansion of 2.0 in k 3.553 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.553 * [taylor]: Taking taylor expansion of PI in k 3.553 * [taylor]: Taking taylor expansion of n in k 3.553 * [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 3.553 * [taylor]: Taking taylor expansion of 1.0 in k 3.553 * [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 3.553 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.553 * [taylor]: Taking taylor expansion of k in k 3.554 * [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 3.554 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.554 * [taylor]: Taking taylor expansion of 0.5 in k 3.554 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.554 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.554 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.554 * [taylor]: Taking taylor expansion of 2.0 in k 3.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.556 * [taylor]: Taking taylor expansion of 1.0 in k 3.556 * [taylor]: Taking taylor expansion of (log PI) in k 3.556 * [taylor]: Taking taylor expansion of PI in k 3.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.558 * [taylor]: Taking taylor expansion of 1.0 in k 3.558 * [taylor]: Taking taylor expansion of (log n) in k 3.558 * [taylor]: Taking taylor expansion of n in k 3.564 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.564 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.564 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.564 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.564 * [taylor]: Taking taylor expansion of 0.5 in k 3.564 * [taylor]: Taking taylor expansion of k in k 3.565 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.565 * [taylor]: Taking taylor expansion of 2.0 in k 3.565 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.565 * [taylor]: Taking taylor expansion of PI in k 3.565 * [taylor]: Taking taylor expansion of n in k 3.568 * [taylor]: Taking taylor expansion of 0 in n 3.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.585 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.585 * [taylor]: Taking taylor expansion of +nan.0 in n 3.585 * [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 n))) k))))) in n 3.585 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.586 * [taylor]: Taking taylor expansion of 0.5 in n 3.586 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.586 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.586 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.586 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.586 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.586 * [taylor]: Taking taylor expansion of 1.0 in n 3.586 * [taylor]: Taking taylor expansion of (log PI) in n 3.586 * [taylor]: Taking taylor expansion of PI in n 3.587 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.588 * [taylor]: Taking taylor expansion of 1.0 in n 3.588 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.588 * [taylor]: Taking taylor expansion of 2.0 in n 3.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.589 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.589 * [taylor]: Taking taylor expansion of 1.0 in n 3.589 * [taylor]: Taking taylor expansion of (log n) in n 3.589 * [taylor]: Taking taylor expansion of n in n 3.596 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.596 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.596 * [taylor]: Taking taylor expansion of 0.5 in n 3.596 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.596 * [taylor]: Taking taylor expansion of 2.0 in n 3.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.596 * [taylor]: Taking taylor expansion of PI in n 3.596 * [taylor]: Taking taylor expansion of n in n 3.598 * [taylor]: Taking taylor expansion of k in n 3.643 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.643 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.643 * [taylor]: Taking taylor expansion of +nan.0 in n 3.643 * [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 n))) k))))) in n 3.643 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.643 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.643 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.643 * [taylor]: Taking taylor expansion of 0.5 in n 3.643 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.643 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.643 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.643 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.643 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.643 * [taylor]: Taking taylor expansion of 1.0 in n 3.643 * [taylor]: Taking taylor expansion of (log PI) in n 3.643 * [taylor]: Taking taylor expansion of PI in n 3.645 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.645 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.645 * [taylor]: Taking taylor expansion of 1.0 in n 3.645 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.645 * [taylor]: Taking taylor expansion of 2.0 in n 3.647 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.647 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.647 * [taylor]: Taking taylor expansion of 1.0 in n 3.647 * [taylor]: Taking taylor expansion of (log n) in n 3.647 * [taylor]: Taking taylor expansion of n in n 3.654 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.654 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.654 * [taylor]: Taking taylor expansion of 0.5 in n 3.654 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.654 * [taylor]: Taking taylor expansion of 2.0 in n 3.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.654 * [taylor]: Taking taylor expansion of PI in n 3.654 * [taylor]: Taking taylor expansion of n in n 3.655 * [taylor]: Taking taylor expansion of k in n 3.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.733 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.733 * [taylor]: Taking taylor expansion of +nan.0 in n 3.733 * [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 n))) k))))) in n 3.733 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.733 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.733 * [taylor]: Taking taylor expansion of 0.5 in n 3.733 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.733 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.733 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.733 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.733 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.733 * [taylor]: Taking taylor expansion of 1.0 in n 3.733 * [taylor]: Taking taylor expansion of (log PI) in n 3.733 * [taylor]: Taking taylor expansion of PI in n 3.735 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.735 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.735 * [taylor]: Taking taylor expansion of 1.0 in n 3.735 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.735 * [taylor]: Taking taylor expansion of 2.0 in n 3.737 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.737 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.737 * [taylor]: Taking taylor expansion of 1.0 in n 3.737 * [taylor]: Taking taylor expansion of (log n) in n 3.737 * [taylor]: Taking taylor expansion of n in n 3.744 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.744 * [taylor]: Taking taylor expansion of 0.5 in n 3.744 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.744 * [taylor]: Taking taylor expansion of 2.0 in n 3.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.744 * [taylor]: Taking taylor expansion of PI in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.746 * [taylor]: Taking taylor expansion of k in n 3.766 * [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 (k n) around 0 3.766 * [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 3.766 * [taylor]: Taking taylor expansion of 1.0 in n 3.766 * [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 3.766 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.766 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.766 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.766 * [taylor]: Taking taylor expansion of -1 in n 3.766 * [taylor]: Taking taylor expansion of k in n 3.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.766 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.766 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.766 * [taylor]: Taking taylor expansion of -0.5 in n 3.766 * [taylor]: Taking taylor expansion of k in n 3.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of -2.0 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.771 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.771 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.771 * [taylor]: Taking taylor expansion of 0.5 in n 3.771 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.771 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.771 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.771 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.771 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.771 * [taylor]: Taking taylor expansion of 1.0 in n 3.771 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.771 * [taylor]: Taking taylor expansion of -2.0 in n 3.773 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.773 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.773 * [taylor]: Taking taylor expansion of 1.0 in n 3.773 * [taylor]: Taking taylor expansion of (log PI) in n 3.773 * [taylor]: Taking taylor expansion of PI in n 3.775 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.775 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.775 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.775 * [taylor]: Taking taylor expansion of 1.0 in n 3.775 * [taylor]: Taking taylor expansion of (log n) in n 3.775 * [taylor]: Taking taylor expansion of n in n 3.782 * [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 3.782 * [taylor]: Taking taylor expansion of 1.0 in k 3.782 * [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 3.782 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.782 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.782 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.782 * [taylor]: Taking taylor expansion of -1 in k 3.782 * [taylor]: Taking taylor expansion of k in k 3.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.784 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.784 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.784 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.784 * [taylor]: Taking taylor expansion of -0.5 in k 3.784 * [taylor]: Taking taylor expansion of k in k 3.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.784 * [taylor]: Taking taylor expansion of -2.0 in k 3.784 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.784 * [taylor]: Taking taylor expansion of PI in k 3.784 * [taylor]: Taking taylor expansion of n in k 3.785 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.785 * [taylor]: Taking taylor expansion of 0.5 in k 3.785 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.785 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.785 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.785 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.785 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.785 * [taylor]: Taking taylor expansion of 1.0 in k 3.785 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.785 * [taylor]: Taking taylor expansion of -2.0 in k 3.787 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.787 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.787 * [taylor]: Taking taylor expansion of 1.0 in k 3.787 * [taylor]: Taking taylor expansion of (log PI) in k 3.787 * [taylor]: Taking taylor expansion of PI in k 3.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.789 * [taylor]: Taking taylor expansion of 1.0 in k 3.789 * [taylor]: Taking taylor expansion of (log n) in k 3.789 * [taylor]: Taking taylor expansion of n in k 3.795 * [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 3.795 * [taylor]: Taking taylor expansion of 1.0 in k 3.795 * [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 3.795 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.796 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.796 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.796 * [taylor]: Taking taylor expansion of -1 in k 3.796 * [taylor]: Taking taylor expansion of k in k 3.797 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.797 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.797 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.797 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.797 * [taylor]: Taking taylor expansion of -0.5 in k 3.797 * [taylor]: Taking taylor expansion of k in k 3.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.798 * [taylor]: Taking taylor expansion of -2.0 in k 3.798 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.798 * [taylor]: Taking taylor expansion of PI in k 3.798 * [taylor]: Taking taylor expansion of n in k 3.799 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.799 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.799 * [taylor]: Taking taylor expansion of 0.5 in k 3.799 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.799 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.799 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.799 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.799 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.799 * [taylor]: Taking taylor expansion of 1.0 in k 3.799 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.799 * [taylor]: Taking taylor expansion of -2.0 in k 3.801 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.801 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.801 * [taylor]: Taking taylor expansion of 1.0 in k 3.801 * [taylor]: Taking taylor expansion of (log PI) in k 3.801 * [taylor]: Taking taylor expansion of PI in k 3.802 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.802 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.803 * [taylor]: Taking taylor expansion of 1.0 in k 3.803 * [taylor]: Taking taylor expansion of (log n) in k 3.803 * [taylor]: Taking taylor expansion of n in k 3.818 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.818 * [taylor]: Taking taylor expansion of +nan.0 in n 3.818 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.818 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.818 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.818 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.818 * [taylor]: Taking taylor expansion of -0.5 in n 3.818 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.818 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.818 * [taylor]: Taking taylor expansion of -2.0 in n 3.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.818 * [taylor]: Taking taylor expansion of PI in n 3.818 * [taylor]: Taking taylor expansion of n in n 3.819 * [taylor]: Taking taylor expansion of k in n 3.824 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.824 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.824 * [taylor]: Taking taylor expansion of 0.5 in n 3.824 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.824 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.824 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.824 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.824 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.824 * [taylor]: Taking taylor expansion of 1.0 in n 3.824 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.824 * [taylor]: Taking taylor expansion of -2.0 in n 3.826 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.826 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.826 * [taylor]: Taking taylor expansion of 1.0 in n 3.826 * [taylor]: Taking taylor expansion of (log PI) in n 3.826 * [taylor]: Taking taylor expansion of PI in n 3.828 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.828 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.828 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.828 * [taylor]: Taking taylor expansion of 1.0 in n 3.828 * [taylor]: Taking taylor expansion of (log n) in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.861 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.861 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.861 * [taylor]: Taking taylor expansion of +nan.0 in n 3.861 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.861 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.861 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.861 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.861 * [taylor]: Taking taylor expansion of -0.5 in n 3.861 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.861 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.861 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.861 * [taylor]: Taking taylor expansion of -2.0 in n 3.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.861 * [taylor]: Taking taylor expansion of PI in n 3.861 * [taylor]: Taking taylor expansion of n in n 3.862 * [taylor]: Taking taylor expansion of k in n 3.867 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.867 * [taylor]: Taking taylor expansion of 0.5 in n 3.867 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.867 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.867 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.867 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.867 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.867 * [taylor]: Taking taylor expansion of 1.0 in n 3.867 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.867 * [taylor]: Taking taylor expansion of -2.0 in n 3.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.869 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of (log PI) in n 3.869 * [taylor]: Taking taylor expansion of PI in n 3.870 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.871 * [taylor]: Taking taylor expansion of 1.0 in n 3.871 * [taylor]: Taking taylor expansion of (log n) in n 3.871 * [taylor]: Taking taylor expansion of n in n 3.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.944 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.944 * [taylor]: Taking taylor expansion of +nan.0 in n 3.944 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.944 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.944 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.944 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.944 * [taylor]: Taking taylor expansion of -0.5 in n 3.944 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.945 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.945 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.945 * [taylor]: Taking taylor expansion of -2.0 in n 3.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.945 * [taylor]: Taking taylor expansion of PI in n 3.945 * [taylor]: Taking taylor expansion of n in n 3.946 * [taylor]: Taking taylor expansion of k in n 3.950 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.950 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.950 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.950 * [taylor]: Taking taylor expansion of 0.5 in n 3.950 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.950 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.950 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.950 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.951 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.951 * [taylor]: Taking taylor expansion of 1.0 in n 3.951 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.951 * [taylor]: Taking taylor expansion of -2.0 in n 3.952 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.952 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.952 * [taylor]: Taking taylor expansion of 1.0 in n 3.952 * [taylor]: Taking taylor expansion of (log PI) in n 3.952 * [taylor]: Taking taylor expansion of PI in n 3.954 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.954 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.954 * [taylor]: Taking taylor expansion of 1.0 in n 3.954 * [taylor]: Taking taylor expansion of (log n) in n 3.954 * [taylor]: Taking taylor expansion of n in n 3.976 * * * [progress]: simplifying candidates 3.980 * [simplify]: Simplifying using # : (- (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) (* (* 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) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log 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k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (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) (/ 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) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 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2.0)) (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))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 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(* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (* +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)) (* 2.0 (* 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 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) 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 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))))) 4.034 * * * [progress]: adding candidates to table 4.582 * * [progress]: iteration 4 / 4 4.582 * * * [progress]: picking best candidate 4.613 * * * * [pick]: Picked # 4.613 * * * [progress]: localizing error 4.635 * * * [progress]: generating rewritten candidates 4.635 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 4.662 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 4.669 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 4.676 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.695 * * * [progress]: generating series expansions 4.695 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 4.696 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.696 * [taylor]: Taking taylor expansion of 2.0 in n 4.696 * [taylor]: Taking taylor expansion of (* n PI) in n 4.696 * [taylor]: Taking taylor expansion of n in n 4.696 * [taylor]: Taking taylor expansion of PI in n 4.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.696 * [taylor]: Taking taylor expansion of 2.0 in n 4.696 * [taylor]: Taking taylor expansion of (* n PI) in n 4.696 * [taylor]: Taking taylor expansion of n in n 4.696 * [taylor]: Taking taylor expansion of PI in n 4.714 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.714 * [taylor]: Taking taylor expansion of 2.0 in n 4.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.714 * [taylor]: Taking taylor expansion of PI in n 4.714 * [taylor]: Taking taylor expansion of n in n 4.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.714 * [taylor]: Taking taylor expansion of 2.0 in n 4.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.714 * [taylor]: Taking taylor expansion of PI in n 4.714 * [taylor]: Taking taylor expansion of n in n 4.723 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 4.723 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.723 * [taylor]: Taking taylor expansion of 2.0 in n 4.723 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.723 * [taylor]: Taking taylor expansion of PI in n 4.723 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.723 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.723 * [taylor]: Taking taylor expansion of -1 in n 4.723 * [taylor]: Taking taylor expansion of n in n 4.725 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.725 * [taylor]: Taking taylor expansion of 2.0 in n 4.725 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.725 * [taylor]: Taking taylor expansion of PI in n 4.725 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.725 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.725 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.725 * [taylor]: Taking taylor expansion of -1 in n 4.725 * [taylor]: Taking taylor expansion of n in n 4.745 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 4.745 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 4.745 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.745 * [taylor]: Taking taylor expansion of 2.0 in n 4.745 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.745 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.745 * [taylor]: Taking taylor expansion of n in n 4.746 * [taylor]: Taking taylor expansion of PI in n 4.746 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.746 * [taylor]: Taking taylor expansion of 2.0 in n 4.746 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.746 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.746 * [taylor]: Taking taylor expansion of n in n 4.747 * [taylor]: Taking taylor expansion of PI in n 4.768 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 4.768 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.768 * [taylor]: Taking taylor expansion of 2.0 in n 4.768 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.768 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.768 * [taylor]: Taking taylor expansion of n in n 4.769 * [taylor]: Taking taylor expansion of PI in n 4.769 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.769 * [taylor]: Taking taylor expansion of 2.0 in n 4.770 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.770 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.770 * [taylor]: Taking taylor expansion of n in n 4.771 * [taylor]: Taking taylor expansion of PI in n 4.798 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 4.798 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.798 * [taylor]: Taking taylor expansion of 2.0 in n 4.798 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.798 * [taylor]: Taking taylor expansion of PI in n 4.798 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.798 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.798 * [taylor]: Taking taylor expansion of -1 in n 4.798 * [taylor]: Taking taylor expansion of n in n 4.799 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.799 * [taylor]: Taking taylor expansion of 2.0 in n 4.799 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.799 * [taylor]: Taking taylor expansion of PI in n 4.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.799 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.799 * [taylor]: Taking taylor expansion of -1 in n 4.800 * [taylor]: Taking taylor expansion of n in n 4.821 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 4.821 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.821 * [taylor]: Taking taylor expansion of 2.0 in n 4.821 * [taylor]: Taking taylor expansion of (* n PI) in n 4.821 * [taylor]: Taking taylor expansion of n in n 4.821 * [taylor]: Taking taylor expansion of PI in n 4.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.821 * [taylor]: Taking taylor expansion of 2.0 in n 4.821 * [taylor]: Taking taylor expansion of (* n PI) in n 4.821 * [taylor]: Taking taylor expansion of n in n 4.821 * [taylor]: Taking taylor expansion of PI in n 4.833 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.833 * [taylor]: Taking taylor expansion of 2.0 in n 4.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.833 * [taylor]: Taking taylor expansion of PI in n 4.833 * [taylor]: Taking taylor expansion of n in n 4.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.834 * [taylor]: Taking taylor expansion of 2.0 in n 4.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.834 * [taylor]: Taking taylor expansion of PI in n 4.834 * [taylor]: Taking taylor expansion of n in n 4.842 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.842 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.842 * [taylor]: Taking taylor expansion of -2.0 in n 4.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.842 * [taylor]: Taking taylor expansion of PI in n 4.842 * [taylor]: Taking taylor expansion of n in n 4.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.843 * [taylor]: Taking taylor expansion of -2.0 in n 4.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.843 * [taylor]: Taking taylor expansion of PI in n 4.843 * [taylor]: Taking taylor expansion of n in n 4.851 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.852 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 4.852 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 4.852 * [taylor]: Taking taylor expansion of 1.0 in k 4.852 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 4.853 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.853 * [taylor]: Taking taylor expansion of k in k 4.854 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.854 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.854 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.854 * [taylor]: Taking taylor expansion of 0.5 in k 4.854 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.854 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.854 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.854 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.854 * [taylor]: Taking taylor expansion of 1.0 in k 4.854 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.854 * [taylor]: Taking taylor expansion of 2.0 in k 4.856 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.856 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.856 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.856 * [taylor]: Taking taylor expansion of 1.0 in k 4.856 * [taylor]: Taking taylor expansion of (log n) in k 4.856 * [taylor]: Taking taylor expansion of n in k 4.856 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.856 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.856 * [taylor]: Taking taylor expansion of 1.0 in k 4.856 * [taylor]: Taking taylor expansion of (log PI) in k 4.856 * [taylor]: Taking taylor expansion of PI in k 4.861 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.861 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.861 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.862 * [taylor]: Taking taylor expansion of 0.5 in k 4.862 * [taylor]: Taking taylor expansion of k in k 4.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.862 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.862 * [taylor]: Taking taylor expansion of 2.0 in k 4.862 * [taylor]: Taking taylor expansion of (* n PI) in k 4.862 * [taylor]: Taking taylor expansion of n in k 4.862 * [taylor]: Taking taylor expansion of PI in k 4.864 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 4.865 * [taylor]: Taking taylor expansion of 1.0 in n 4.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.865 * [taylor]: Taking taylor expansion of k in n 4.865 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.865 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.865 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.865 * [taylor]: Taking taylor expansion of 0.5 in n 4.865 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.865 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.865 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.865 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.865 * [taylor]: Taking taylor expansion of 1.0 in n 4.865 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.865 * [taylor]: Taking taylor expansion of 2.0 in n 4.867 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.867 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.867 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.867 * [taylor]: Taking taylor expansion of 1.0 in n 4.867 * [taylor]: Taking taylor expansion of (log n) in n 4.867 * [taylor]: Taking taylor expansion of n in n 4.868 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.868 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.868 * [taylor]: Taking taylor expansion of 1.0 in n 4.868 * [taylor]: Taking taylor expansion of (log PI) in n 4.868 * [taylor]: Taking taylor expansion of PI in n 4.879 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.880 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.880 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.880 * [taylor]: Taking taylor expansion of 0.5 in n 4.880 * [taylor]: Taking taylor expansion of k in n 4.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.880 * [taylor]: Taking taylor expansion of 2.0 in n 4.880 * [taylor]: Taking taylor expansion of (* n PI) in n 4.880 * [taylor]: Taking taylor expansion of n in n 4.880 * [taylor]: Taking taylor expansion of PI in n 4.885 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 4.886 * [taylor]: Taking taylor expansion of 1.0 in n 4.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.886 * [taylor]: Taking taylor expansion of k in n 4.886 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.886 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.886 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.886 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.886 * [taylor]: Taking taylor expansion of 0.5 in n 4.886 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.886 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.886 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.886 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.886 * [taylor]: Taking taylor expansion of 1.0 in n 4.886 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.886 * [taylor]: Taking taylor expansion of 2.0 in n 4.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.888 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.888 * [taylor]: Taking taylor expansion of 1.0 in n 4.888 * [taylor]: Taking taylor expansion of (log n) in n 4.888 * [taylor]: Taking taylor expansion of n in n 4.888 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.889 * [taylor]: Taking taylor expansion of 1.0 in n 4.889 * [taylor]: Taking taylor expansion of (log PI) in n 4.889 * [taylor]: Taking taylor expansion of PI in n 4.894 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.894 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.894 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.894 * [taylor]: Taking taylor expansion of 0.5 in n 4.894 * [taylor]: Taking taylor expansion of k in n 4.894 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.894 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.894 * [taylor]: Taking taylor expansion of 2.0 in n 4.894 * [taylor]: Taking taylor expansion of (* n PI) in n 4.894 * [taylor]: Taking taylor expansion of n in n 4.894 * [taylor]: Taking taylor expansion of PI in n 4.905 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 4.905 * [taylor]: Taking taylor expansion of 1.0 in k 4.905 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 4.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.905 * [taylor]: Taking taylor expansion of k in k 4.907 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 4.907 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.907 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.907 * [taylor]: Taking taylor expansion of 0.5 in k 4.907 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.907 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.907 * [taylor]: Taking taylor expansion of 1.0 in k 4.907 * [taylor]: Taking taylor expansion of (log PI) in k 4.907 * [taylor]: Taking taylor expansion of PI in k 4.909 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.909 * [taylor]: Taking taylor expansion of 1.0 in k 4.909 * [taylor]: Taking taylor expansion of (log n) in k 4.909 * [taylor]: Taking taylor expansion of n in k 4.909 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.909 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.909 * [taylor]: Taking taylor expansion of 1.0 in k 4.909 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.909 * [taylor]: Taking taylor expansion of 2.0 in k 4.914 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.914 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.914 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.914 * [taylor]: Taking taylor expansion of 0.5 in k 4.914 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.914 * [taylor]: Taking taylor expansion of k in k 4.914 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.914 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.914 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.914 * [taylor]: Taking taylor expansion of 2.0 in k 4.914 * [taylor]: Taking taylor expansion of PI in k 4.915 * [taylor]: Taking taylor expansion of (log n) in k 4.915 * [taylor]: Taking taylor expansion of n in k 4.945 * [taylor]: Taking taylor expansion of 0 in k 5.003 * [taylor]: Taking taylor expansion of 0 in k 5.103 * [taylor]: Taking taylor expansion of 0 in k 5.226 * [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 5.226 * [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 5.226 * [taylor]: Taking taylor expansion of 1.0 in k 5.226 * [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 5.226 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.226 * [taylor]: Taking taylor expansion of k in k 5.227 * [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 5.227 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.228 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.228 * [taylor]: Taking taylor expansion of 0.5 in k 5.228 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.228 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.228 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.228 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.228 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.228 * [taylor]: Taking taylor expansion of 1.0 in k 5.228 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.228 * [taylor]: Taking taylor expansion of 2.0 in k 5.230 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.230 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.230 * [taylor]: Taking taylor expansion of 1.0 in k 5.230 * [taylor]: Taking taylor expansion of (log PI) in k 5.230 * [taylor]: Taking taylor expansion of PI in k 5.231 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.232 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.232 * [taylor]: Taking taylor expansion of 1.0 in k 5.232 * [taylor]: Taking taylor expansion of (log n) in k 5.232 * [taylor]: Taking taylor expansion of n in k 5.238 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.238 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.238 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.238 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.238 * [taylor]: Taking taylor expansion of 0.5 in k 5.238 * [taylor]: Taking taylor expansion of k in k 5.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.239 * [taylor]: Taking taylor expansion of 2.0 in k 5.239 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.239 * [taylor]: Taking taylor expansion of PI in k 5.239 * [taylor]: Taking taylor expansion of n in k 5.239 * [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 5.239 * [taylor]: Taking taylor expansion of 1.0 in n 5.239 * [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 5.239 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.239 * [taylor]: Taking taylor expansion of k in n 5.239 * [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 5.239 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.239 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.239 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.239 * [taylor]: Taking taylor expansion of 0.5 in n 5.239 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.239 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.239 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.239 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.239 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.239 * [taylor]: Taking taylor expansion of 1.0 in n 5.239 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.239 * [taylor]: Taking taylor expansion of 2.0 in n 5.241 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.241 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.241 * [taylor]: Taking taylor expansion of 1.0 in n 5.241 * [taylor]: Taking taylor expansion of (log PI) in n 5.241 * [taylor]: Taking taylor expansion of PI in n 5.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.243 * [taylor]: Taking taylor expansion of 1.0 in n 5.243 * [taylor]: Taking taylor expansion of (log n) in n 5.243 * [taylor]: Taking taylor expansion of n in n 5.250 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.250 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.250 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.250 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.250 * [taylor]: Taking taylor expansion of 0.5 in n 5.250 * [taylor]: Taking taylor expansion of k in n 5.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.250 * [taylor]: Taking taylor expansion of 2.0 in n 5.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.250 * [taylor]: Taking taylor expansion of PI in n 5.250 * [taylor]: Taking taylor expansion of n in n 5.255 * [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 5.255 * [taylor]: Taking taylor expansion of 1.0 in n 5.255 * [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 5.255 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.255 * [taylor]: Taking taylor expansion of k in n 5.255 * [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 5.255 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.255 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.255 * [taylor]: Taking taylor expansion of 0.5 in n 5.255 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.255 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.255 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.255 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.255 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.255 * [taylor]: Taking taylor expansion of 1.0 in n 5.255 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.255 * [taylor]: Taking taylor expansion of 2.0 in n 5.257 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.257 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.257 * [taylor]: Taking taylor expansion of 1.0 in n 5.257 * [taylor]: Taking taylor expansion of (log PI) in n 5.257 * [taylor]: Taking taylor expansion of PI in n 5.259 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.259 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.259 * [taylor]: Taking taylor expansion of 1.0 in n 5.259 * [taylor]: Taking taylor expansion of (log n) in n 5.259 * [taylor]: Taking taylor expansion of n in n 5.266 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.266 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.266 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.266 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.266 * [taylor]: Taking taylor expansion of 0.5 in n 5.266 * [taylor]: Taking taylor expansion of k in n 5.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.266 * [taylor]: Taking taylor expansion of 2.0 in n 5.266 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.266 * [taylor]: Taking taylor expansion of PI in n 5.266 * [taylor]: Taking taylor expansion of n in n 5.276 * [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 5.277 * [taylor]: Taking taylor expansion of 1.0 in k 5.277 * [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 5.277 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.277 * [taylor]: Taking taylor expansion of k in k 5.278 * [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 5.278 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 5.278 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 5.278 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 5.278 * [taylor]: Taking taylor expansion of 0.5 in k 5.278 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 5.278 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 5.278 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.278 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.278 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.278 * [taylor]: Taking taylor expansion of 1.0 in k 5.278 * [taylor]: Taking taylor expansion of (log PI) in k 5.278 * [taylor]: Taking taylor expansion of PI in k 5.280 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.280 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.280 * [taylor]: Taking taylor expansion of 1.0 in k 5.280 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.280 * [taylor]: Taking taylor expansion of 2.0 in k 5.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.282 * [taylor]: Taking taylor expansion of 1.0 in k 5.282 * [taylor]: Taking taylor expansion of (log n) in k 5.282 * [taylor]: Taking taylor expansion of n in k 5.288 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 5.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 5.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 5.288 * [taylor]: Taking taylor expansion of 0.5 in k 5.288 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 5.288 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.288 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.288 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.288 * [taylor]: Taking taylor expansion of 2.0 in k 5.288 * [taylor]: Taking taylor expansion of PI in k 5.289 * [taylor]: Taking taylor expansion of (log n) in k 5.289 * [taylor]: Taking taylor expansion of n in k 5.289 * [taylor]: Taking taylor expansion of k in k 5.328 * [taylor]: Taking taylor expansion of 0 in k 5.384 * [taylor]: Taking taylor expansion of 0 in k 5.466 * [taylor]: Taking taylor expansion of 0 in k 5.524 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (n k) around 0 5.524 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 5.524 * [taylor]: Taking taylor expansion of 1.0 in k 5.524 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 5.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 5.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 5.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 5.524 * [taylor]: Taking taylor expansion of 0.5 in k 5.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 5.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.524 * [taylor]: Taking taylor expansion of 1.0 in k 5.524 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.524 * [taylor]: Taking taylor expansion of 2.0 in k 5.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.526 * [taylor]: Taking taylor expansion of 1.0 in k 5.526 * [taylor]: Taking taylor expansion of (log PI) in k 5.526 * [taylor]: Taking taylor expansion of PI in k 5.540 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 5.540 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.540 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.540 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.540 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.540 * [taylor]: Taking taylor expansion of -1 in k 5.540 * [taylor]: Taking taylor expansion of k in k 5.542 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.542 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.542 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.542 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.542 * [taylor]: Taking taylor expansion of -0.5 in k 5.542 * [taylor]: Taking taylor expansion of k in k 5.542 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.542 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.542 * [taylor]: Taking taylor expansion of -2.0 in k 5.542 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.542 * [taylor]: Taking taylor expansion of PI in k 5.542 * [taylor]: Taking taylor expansion of n in k 5.543 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 5.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 5.543 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 5.543 * [taylor]: Taking taylor expansion of 1.0 in k 5.543 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 5.543 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 5.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 5.543 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 5.543 * [taylor]: Taking taylor expansion of 1.0 in k 5.543 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 5.543 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 5.543 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.543 * [taylor]: Taking taylor expansion of -1 in k 5.543 * [taylor]: Taking taylor expansion of n in k 5.544 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 5.544 * [taylor]: Taking taylor expansion of 1.0 in n 5.544 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 5.544 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.544 * [taylor]: Taking taylor expansion of 0.5 in n 5.544 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.544 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.544 * [taylor]: Taking taylor expansion of 1.0 in n 5.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.544 * [taylor]: Taking taylor expansion of 2.0 in n 5.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.546 * [taylor]: Taking taylor expansion of 1.0 in n 5.546 * [taylor]: Taking taylor expansion of (log PI) in n 5.546 * [taylor]: Taking taylor expansion of PI in n 5.560 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.560 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.560 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.560 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.560 * [taylor]: Taking taylor expansion of -1 in n 5.560 * [taylor]: Taking taylor expansion of k in n 5.560 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.560 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.560 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.560 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.560 * [taylor]: Taking taylor expansion of -0.5 in n 5.560 * [taylor]: Taking taylor expansion of k in n 5.560 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.560 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.560 * [taylor]: Taking taylor expansion of -2.0 in n 5.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.560 * [taylor]: Taking taylor expansion of PI in n 5.560 * [taylor]: Taking taylor expansion of n in n 5.565 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.565 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.565 * [taylor]: Taking taylor expansion of 1.0 in n 5.565 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.565 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.566 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.566 * [taylor]: Taking taylor expansion of 1.0 in n 5.566 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.566 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.566 * [taylor]: Taking taylor expansion of -1 in n 5.566 * [taylor]: Taking taylor expansion of n in n 5.577 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 5.577 * [taylor]: Taking taylor expansion of 1.0 in n 5.577 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 5.578 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.578 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.578 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.578 * [taylor]: Taking taylor expansion of 0.5 in n 5.578 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.578 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.578 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.578 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.578 * [taylor]: Taking taylor expansion of 1.0 in n 5.578 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.578 * [taylor]: Taking taylor expansion of 2.0 in n 5.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.579 * [taylor]: Taking taylor expansion of 1.0 in n 5.580 * [taylor]: Taking taylor expansion of (log PI) in n 5.580 * [taylor]: Taking taylor expansion of PI in n 5.593 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.593 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.593 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.593 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.593 * [taylor]: Taking taylor expansion of -1 in n 5.593 * [taylor]: Taking taylor expansion of k in n 5.593 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.594 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.594 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.594 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.594 * [taylor]: Taking taylor expansion of -0.5 in n 5.594 * [taylor]: Taking taylor expansion of k in n 5.594 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.594 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.594 * [taylor]: Taking taylor expansion of -2.0 in n 5.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.594 * [taylor]: Taking taylor expansion of PI in n 5.594 * [taylor]: Taking taylor expansion of n in n 5.599 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.599 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.599 * [taylor]: Taking taylor expansion of 1.0 in n 5.599 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.599 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.599 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.599 * [taylor]: Taking taylor expansion of 1.0 in n 5.599 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.599 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.599 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.599 * [taylor]: Taking taylor expansion of -1 in n 5.599 * [taylor]: Taking taylor expansion of n in n 5.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0)))) in k 5.615 * [taylor]: Taking taylor expansion of 1.0 in k 5.615 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0))) in k 5.615 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.615 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.615 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.615 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.615 * [taylor]: Taking taylor expansion of -0.5 in k 5.615 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.615 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.615 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.615 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.616 * [taylor]: Taking taylor expansion of -2.0 in k 5.616 * [taylor]: Taking taylor expansion of PI in k 5.616 * [taylor]: Taking taylor expansion of (log n) in k 5.616 * [taylor]: Taking taylor expansion of n in k 5.617 * [taylor]: Taking taylor expansion of k in k 5.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.619 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.619 * [taylor]: Taking taylor expansion of -1 in k 5.619 * [taylor]: Taking taylor expansion of k in k 5.623 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0)) in k 5.623 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 5.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 5.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 5.623 * [taylor]: Taking taylor expansion of 0.5 in k 5.623 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 5.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.623 * [taylor]: Taking taylor expansion of 1.0 in k 5.623 * [taylor]: Taking taylor expansion of (log PI) in k 5.623 * [taylor]: Taking taylor expansion of PI in k 5.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.625 * [taylor]: Taking taylor expansion of 1.0 in k 5.625 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.625 * [taylor]: Taking taylor expansion of 2.0 in k 5.638 * [taylor]: Taking taylor expansion of (pow (pow +nan.0 1.0) 1.0) in k 5.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow +nan.0 1.0)))) in k 5.638 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow +nan.0 1.0))) in k 5.638 * [taylor]: Taking taylor expansion of 1.0 in k 5.638 * [taylor]: Taking taylor expansion of (log (pow +nan.0 1.0)) in k 5.638 * [taylor]: Taking taylor expansion of (pow +nan.0 1.0) in k 5.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log +nan.0))) in k 5.638 * [taylor]: Taking taylor expansion of (* 1.0 (log +nan.0)) in k 5.638 * [taylor]: Taking taylor expansion of 1.0 in k 5.638 * [taylor]: Taking taylor expansion of (log +nan.0) in k 5.639 * [taylor]: Taking taylor expansion of +nan.0 in k 5.719 * [taylor]: Taking taylor expansion of (- (* +nan.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)) 0.5)))) in k 5.719 * [taylor]: Taking taylor expansion of (* +nan.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)) 0.5))) in k 5.719 * [taylor]: Taking taylor expansion of +nan.0 in k 5.719 * [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)) 0.5)) in k 5.719 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.719 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.719 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.719 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.719 * [taylor]: Taking taylor expansion of -0.5 in k 5.719 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.719 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.719 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.719 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.719 * [taylor]: Taking taylor expansion of -2.0 in k 5.719 * [taylor]: Taking taylor expansion of PI in k 5.720 * [taylor]: Taking taylor expansion of (log n) in k 5.720 * [taylor]: Taking taylor expansion of n in k 5.720 * [taylor]: Taking taylor expansion of k in k 5.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.723 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.723 * [taylor]: Taking taylor expansion of -1 in k 5.723 * [taylor]: Taking taylor expansion of k in k 5.727 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 5.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 5.727 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 5.727 * [taylor]: Taking taylor expansion of 0.5 in k 5.727 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 5.727 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.727 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.727 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.727 * [taylor]: Taking taylor expansion of 1.0 in k 5.727 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.727 * [taylor]: Taking taylor expansion of 2.0 in k 5.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.729 * [taylor]: Taking taylor expansion of 1.0 in k 5.729 * [taylor]: Taking taylor expansion of (log PI) in k 5.729 * [taylor]: Taking taylor expansion of PI in k 5.803 * * * [progress]: simplifying candidates 5.805 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt 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 (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt 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) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ 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(* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (pow (exp (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (* (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (- 1.0)) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt 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) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* PI n) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.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))))) (+ (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (/ 1 (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))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 5.913 * * * [progress]: adding candidates to table 6.299 * [progress]: [Phase 3 of 3] Extracting. 6.299 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.303 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.303 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.343 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 6.368 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.410 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.451 * * * [regime]: Found split indices: #