10.843 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.164 * * * [progress]: [2/2] Setting up program. 0.167 * [progress]: [Phase 2 of 3] Improving. 0.167 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.170 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.171 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.173 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.175 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.181 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.204 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.204 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.204 * * [progress]: iteration 1 / 4 0.204 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.261 * * * [progress]: generating series expansions 0.261 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.261 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.262 * [taylor]: Taking taylor expansion of 0.5 in k 0.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.262 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.262 * [taylor]: Taking taylor expansion of 2.0 in k 0.262 * [taylor]: Taking taylor expansion of (* n PI) in k 0.262 * [taylor]: Taking taylor expansion of n in k 0.262 * [taylor]: Taking taylor expansion of PI in k 0.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.263 * [taylor]: Taking taylor expansion of 0.5 in n 0.263 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.263 * [taylor]: Taking taylor expansion of 1.0 in n 0.263 * [taylor]: Taking taylor expansion of k in n 0.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.263 * [taylor]: Taking taylor expansion of 2.0 in n 0.263 * [taylor]: Taking taylor expansion of (* n PI) in n 0.263 * [taylor]: Taking taylor expansion of n in n 0.263 * [taylor]: Taking taylor expansion of PI in n 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.269 * [taylor]: Taking taylor expansion of 0.5 in n 0.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.269 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [taylor]: Taking taylor expansion of k in n 0.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.269 * [taylor]: Taking taylor expansion of (* n PI) in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.274 * [taylor]: Taking taylor expansion of 0.5 in k 0.274 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.274 * [taylor]: Taking taylor expansion of 1.0 in k 0.274 * [taylor]: Taking taylor expansion of k in k 0.274 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.274 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.274 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.274 * [taylor]: Taking taylor expansion of 2.0 in k 0.274 * [taylor]: Taking taylor expansion of PI in k 0.275 * [taylor]: Taking taylor expansion of (log n) in k 0.275 * [taylor]: Taking taylor expansion of n in k 0.285 * [taylor]: Taking taylor expansion of 0 in k 0.301 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.326 * [taylor]: Taking taylor expansion of 0.5 in k 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.326 * [taylor]: Taking taylor expansion of 1.0 in k 0.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.326 * [taylor]: Taking taylor expansion of 2.0 in k 0.326 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.326 * [taylor]: Taking taylor expansion of PI in k 0.326 * [taylor]: Taking taylor expansion of n in k 0.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.327 * [taylor]: Taking taylor expansion of 0.5 in n 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.327 * [taylor]: Taking taylor expansion of 1.0 in n 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.327 * [taylor]: Taking taylor expansion of k in n 0.328 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.328 * [taylor]: Taking taylor expansion of 2.0 in n 0.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.335 * [taylor]: Taking taylor expansion of 0.5 in k 0.335 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.335 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.335 * [taylor]: Taking taylor expansion of 2.0 in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of (log n) in k 0.336 * [taylor]: Taking taylor expansion of n in k 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.337 * [taylor]: Taking taylor expansion of 1.0 in k 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.337 * [taylor]: Taking taylor expansion of k in k 0.347 * [taylor]: Taking taylor expansion of 0 in k 0.354 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.364 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.365 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.365 * [taylor]: Taking taylor expansion of 0.5 in k 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.365 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.365 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.365 * [taylor]: Taking taylor expansion of -2.0 in k 0.365 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.365 * [taylor]: Taking taylor expansion of PI in k 0.365 * [taylor]: Taking taylor expansion of n in k 0.366 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.366 * [taylor]: Taking taylor expansion of 0.5 in n 0.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.366 * [taylor]: Taking taylor expansion of k in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.366 * [taylor]: Taking taylor expansion of -2.0 in n 0.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.366 * [taylor]: Taking taylor expansion of PI in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.370 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.370 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.370 * [taylor]: Taking taylor expansion of 0.5 in n 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.370 * [taylor]: Taking taylor expansion of k in n 0.370 * [taylor]: Taking taylor expansion of 1.0 in n 0.370 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.370 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.370 * [taylor]: Taking taylor expansion of -2.0 in n 0.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.370 * [taylor]: Taking taylor expansion of PI in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.374 * [taylor]: Taking taylor expansion of 0.5 in k 0.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.374 * [taylor]: Taking taylor expansion of 1.0 in k 0.374 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.374 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.374 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.374 * [taylor]: Taking taylor expansion of -2.0 in k 0.374 * [taylor]: Taking taylor expansion of PI in k 0.375 * [taylor]: Taking taylor expansion of (log n) in k 0.375 * [taylor]: Taking taylor expansion of n in k 0.384 * [taylor]: Taking taylor expansion of 0 in k 0.391 * [taylor]: Taking taylor expansion of 0 in k 0.406 * [taylor]: Taking taylor expansion of 0 in k 0.407 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.407 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.407 * [taylor]: Taking taylor expansion of 2.0 in n 0.407 * [taylor]: Taking taylor expansion of (* n PI) in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.407 * [taylor]: Taking taylor expansion of PI in n 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.407 * [taylor]: Taking taylor expansion of 2.0 in n 0.407 * [taylor]: Taking taylor expansion of (* n PI) in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.407 * [taylor]: Taking taylor expansion of PI in n 0.420 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of 2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of 2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.429 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.429 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.429 * [taylor]: Taking taylor expansion of -2.0 in n 0.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.429 * [taylor]: Taking taylor expansion of PI in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of -2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.438 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.439 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.440 * [taylor]: Taking taylor expansion of 1.0 in k 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.440 * [taylor]: Taking taylor expansion of k in k 0.452 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.453 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.463 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.463 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.463 * [taylor]: Taking taylor expansion of 1.0 in k 0.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.463 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.463 * [taylor]: Taking taylor expansion of -1 in k 0.463 * [taylor]: Taking taylor expansion of k in k 0.465 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.465 * [taylor]: Taking taylor expansion of 1.0 in k 0.465 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.465 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.465 * [taylor]: Taking taylor expansion of -1 in k 0.465 * [taylor]: Taking taylor expansion of k in k 0.477 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.477 * [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 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.477 * [taylor]: Taking taylor expansion of k in n 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.478 * [taylor]: Taking taylor expansion of 0.5 in n 0.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of k in n 0.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.478 * [taylor]: Taking taylor expansion of 2.0 in n 0.478 * [taylor]: Taking taylor expansion of (* n PI) in n 0.478 * [taylor]: Taking taylor expansion of n in n 0.478 * [taylor]: Taking taylor expansion of PI in n 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.490 * [taylor]: Taking taylor expansion of 1.0 in k 0.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.490 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.492 * [taylor]: Taking taylor expansion of 0.5 in k 0.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.492 * [taylor]: Taking taylor expansion of 2.0 in k 0.492 * [taylor]: Taking taylor expansion of (* n PI) in k 0.492 * [taylor]: Taking taylor expansion of n in k 0.492 * [taylor]: Taking taylor expansion of PI in k 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.493 * [taylor]: Taking taylor expansion of 1.0 in k 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.494 * [taylor]: Taking taylor expansion of 0.5 in k 0.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.494 * [taylor]: Taking taylor expansion of 1.0 in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.494 * [taylor]: Taking taylor expansion of 2.0 in k 0.494 * [taylor]: Taking taylor expansion of (* n PI) in k 0.494 * [taylor]: Taking taylor expansion of n in k 0.494 * [taylor]: Taking taylor expansion of PI in k 0.496 * [taylor]: Taking taylor expansion of 0 in n 0.501 * [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 0.501 * [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 0.501 * [taylor]: Taking taylor expansion of +nan.0 in n 0.501 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.501 * [taylor]: Taking taylor expansion of 0.5 in n 0.501 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log PI) in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log n) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.504 * [taylor]: Taking taylor expansion of 2.0 in n 0.524 * [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 0.524 * [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 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of +nan.0 in n 0.524 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.524 * [taylor]: Taking taylor expansion of 0.5 in n 0.524 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.524 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log PI) in n 0.524 * [taylor]: Taking taylor expansion of PI in n 0.526 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.526 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log n) in n 0.526 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [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 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of +nan.0 in n 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.534 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log PI) in n 0.534 * [taylor]: Taking taylor expansion of PI in n 0.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log n) in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [taylor]: Taking taylor expansion of (* n PI) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of PI in n 0.596 * [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 0.596 * [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 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of +nan.0 in n 0.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log n) in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (log PI) in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.604 * [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 0.604 * [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 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of +nan.0 in n 0.604 * [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 0.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.605 * [taylor]: Taking taylor expansion of 0.5 in n 0.605 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.605 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.605 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.605 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.607 * [taylor]: Taking taylor expansion of 1.0 in n 0.607 * [taylor]: Taking taylor expansion of (log PI) in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log n) in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.613 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.613 * [taylor]: Taking taylor expansion of 2.0 in n 0.613 * [taylor]: Taking taylor expansion of (* n PI) in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.616 * [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 0.617 * [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 0.617 * [taylor]: Taking taylor expansion of +nan.0 in n 0.617 * [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 0.617 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.617 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.617 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.617 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.617 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log PI) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log n) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.625 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.625 * [taylor]: Taking taylor expansion of (* n PI) in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.625 * [taylor]: Taking taylor expansion of PI in n 0.704 * [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 0.704 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.704 * [taylor]: Taking taylor expansion of 1.0 in n 0.704 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.704 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.704 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.704 * [taylor]: Taking taylor expansion of 1.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.704 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.708 * [taylor]: Taking taylor expansion of 1.0 in k 0.708 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.708 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.708 * [taylor]: Taking taylor expansion of k in k 0.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.709 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.709 * [taylor]: Taking taylor expansion of 0.5 in k 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.709 * [taylor]: Taking taylor expansion of 1.0 in k 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.710 * [taylor]: Taking taylor expansion of 2.0 in k 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [taylor]: Taking taylor expansion of n in k 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.712 * [taylor]: Taking taylor expansion of 0.5 in k 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.713 * [taylor]: Taking taylor expansion of 1.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.713 * [taylor]: Taking taylor expansion of k in k 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.713 * [taylor]: Taking taylor expansion of 2.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.713 * [taylor]: Taking taylor expansion of PI in k 0.713 * [taylor]: Taking taylor expansion of n in k 0.714 * [taylor]: Taking taylor expansion of 0 in n 0.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.715 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.715 * [taylor]: Taking taylor expansion of +nan.0 in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.715 * [taylor]: Taking taylor expansion of 0.5 in n 0.715 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.715 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of 2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.726 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.726 * [taylor]: Taking taylor expansion of +nan.0 in n 0.726 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.726 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.726 * [taylor]: Taking taylor expansion of 0.5 in n 0.726 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.726 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of 2.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.727 * [taylor]: Taking taylor expansion of 1.0 in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.727 * [taylor]: Taking taylor expansion of k in n 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.744 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.744 * [taylor]: Taking taylor expansion of +nan.0 in n 0.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.744 * [taylor]: Taking taylor expansion of 0.5 in n 0.744 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.744 * [taylor]: Taking taylor expansion of 2.0 in n 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.744 * [taylor]: Taking taylor expansion of PI in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.745 * [taylor]: Taking taylor expansion of 1.0 in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.745 * [taylor]: Taking taylor expansion of k in n 0.754 * [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 0.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.754 * [taylor]: Taking taylor expansion of 1.0 in n 0.754 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.754 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.754 * [taylor]: Taking taylor expansion of 0.5 in n 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.754 * [taylor]: Taking taylor expansion of k in n 0.754 * [taylor]: Taking taylor expansion of 1.0 in n 0.754 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.754 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.754 * [taylor]: Taking taylor expansion of -2.0 in n 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.754 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.763 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.763 * [taylor]: Taking taylor expansion of -1 in n 0.763 * [taylor]: Taking taylor expansion of k in n 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.764 * [taylor]: Taking taylor expansion of 1.0 in k 0.764 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.764 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.764 * [taylor]: Taking taylor expansion of 0.5 in k 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.764 * [taylor]: Taking taylor expansion of k in k 0.765 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.765 * [taylor]: Taking taylor expansion of -2.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.765 * [taylor]: Taking taylor expansion of PI in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.766 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.766 * [taylor]: Taking taylor expansion of -1 in k 0.766 * [taylor]: Taking taylor expansion of k in k 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.767 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.767 * [taylor]: Taking taylor expansion of 0.5 in k 0.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.768 * [taylor]: Taking taylor expansion of -2.0 in k 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.768 * [taylor]: Taking taylor expansion of PI in k 0.768 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.769 * [taylor]: Taking taylor expansion of -1 in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.770 * [taylor]: Taking taylor expansion of +nan.0 in n 0.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.770 * [taylor]: Taking taylor expansion of 0.5 in n 0.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.770 * [taylor]: Taking taylor expansion of 1.0 in n 0.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of -2.0 in n 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.771 * [taylor]: Taking taylor expansion of n in n 0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.780 * [taylor]: Taking taylor expansion of +nan.0 in n 0.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.780 * [taylor]: Taking taylor expansion of 0.5 in n 0.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.780 * [taylor]: Taking taylor expansion of k in n 0.780 * [taylor]: Taking taylor expansion of 1.0 in n 0.780 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.780 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.780 * [taylor]: Taking taylor expansion of -2.0 in n 0.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.780 * [taylor]: Taking taylor expansion of PI in n 0.780 * [taylor]: Taking taylor expansion of n in n 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 (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 0.808 * * * [progress]: simplifying candidates 0.810 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.908 * * * [progress]: adding candidates to table 1.293 * * [progress]: iteration 2 / 4 1.293 * * * [progress]: picking best candidate 1.331 * * * * [pick]: Picked # 1.331 * * * [progress]: localizing error 1.350 * * * [progress]: generating rewritten candidates 1.350 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.361 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.374 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.388 * * * [progress]: generating series expansions 1.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.389 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 1.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.389 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.389 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.389 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.389 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.389 * [taylor]: Taking taylor expansion of k in k 1.390 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.390 * [taylor]: Taking taylor expansion of 1.0 in k 1.391 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.391 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.391 * [taylor]: Taking taylor expansion of 2.0 in k 1.391 * [taylor]: Taking taylor expansion of (* n PI) in k 1.391 * [taylor]: Taking taylor expansion of n in k 1.391 * [taylor]: Taking taylor expansion of PI in k 1.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.392 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.392 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.392 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.392 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.393 * [taylor]: Taking taylor expansion of k in n 1.393 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.393 * [taylor]: Taking taylor expansion of 1.0 in n 1.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.393 * [taylor]: Taking taylor expansion of 2.0 in n 1.393 * [taylor]: Taking taylor expansion of (* n PI) in n 1.393 * [taylor]: Taking taylor expansion of n in n 1.393 * [taylor]: Taking taylor expansion of PI in n 1.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.399 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.399 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.400 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.400 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.400 * [taylor]: Taking taylor expansion of k in n 1.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.400 * [taylor]: Taking taylor expansion of 1.0 in n 1.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.400 * [taylor]: Taking taylor expansion of 2.0 in n 1.400 * [taylor]: Taking taylor expansion of (* n PI) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 1.411 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 1.411 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.411 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.411 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.411 * [taylor]: Taking taylor expansion of 2.0 in k 1.411 * [taylor]: Taking taylor expansion of PI in k 1.413 * [taylor]: Taking taylor expansion of (log n) in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.413 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.414 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.414 * [taylor]: Taking taylor expansion of 1.0 in k 1.424 * [taylor]: Taking taylor expansion of 0 in k 1.440 * [taylor]: Taking taylor expansion of 0 in k 1.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 1.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.465 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.465 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.465 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.465 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.468 * [taylor]: Taking taylor expansion of 2.0 in k 1.468 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.468 * [taylor]: Taking taylor expansion of PI in k 1.468 * [taylor]: Taking taylor expansion of n in k 1.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.471 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.471 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.471 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.471 * [taylor]: Taking taylor expansion of 1.0 in n 1.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.472 * [taylor]: Taking taylor expansion of k in n 1.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI 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 1.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.476 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.476 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.476 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.476 * [taylor]: Taking taylor expansion of 1.0 in n 1.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.477 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.477 * [taylor]: Taking taylor expansion of k in n 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.477 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.477 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.482 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.482 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.482 * [taylor]: Taking taylor expansion of 2.0 in k 1.482 * [taylor]: Taking taylor expansion of PI in k 1.483 * [taylor]: Taking taylor expansion of (log n) in k 1.483 * [taylor]: Taking taylor expansion of n in k 1.483 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.483 * [taylor]: Taking taylor expansion of 1.0 in k 1.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.484 * [taylor]: Taking taylor expansion of k in k 1.508 * [taylor]: Taking taylor expansion of 0 in k 1.531 * [taylor]: Taking taylor expansion of 0 in k 1.570 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 1.570 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 1.570 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 1.570 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 1.570 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.570 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.570 * [taylor]: Taking taylor expansion of -1 in k 1.570 * [taylor]: Taking taylor expansion of k in k 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.571 * [taylor]: Taking taylor expansion of 1.0 in k 1.572 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.572 * [taylor]: Taking taylor expansion of -2.0 in k 1.572 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.572 * [taylor]: Taking taylor expansion of PI in k 1.572 * [taylor]: Taking taylor expansion of n in k 1.575 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.575 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.575 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.575 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.575 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.575 * [taylor]: Taking taylor expansion of -1 in n 1.575 * [taylor]: Taking taylor expansion of k in n 1.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.576 * [taylor]: Taking taylor expansion of 1.0 in n 1.576 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.576 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.576 * [taylor]: Taking taylor expansion of -2.0 in n 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.587 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.587 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.587 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.587 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.587 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.587 * [taylor]: Taking taylor expansion of -1 in n 1.587 * [taylor]: Taking taylor expansion of k in n 1.587 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.587 * [taylor]: Taking taylor expansion of 1.0 in n 1.588 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.588 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.588 * [taylor]: Taking taylor expansion of -2.0 in n 1.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.588 * [taylor]: Taking taylor expansion of PI in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 1.592 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 1.592 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.592 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.592 * [taylor]: Taking taylor expansion of -1 in k 1.592 * [taylor]: Taking taylor expansion of k in k 1.594 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.594 * [taylor]: Taking taylor expansion of 1.0 in k 1.594 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.594 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.594 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.594 * [taylor]: Taking taylor expansion of -2.0 in k 1.594 * [taylor]: Taking taylor expansion of PI in k 1.595 * [taylor]: Taking taylor expansion of (log n) in k 1.595 * [taylor]: Taking taylor expansion of n in k 1.613 * [taylor]: Taking taylor expansion of 0 in k 1.638 * [taylor]: Taking taylor expansion of 0 in k 1.686 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.688 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 1.688 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 1.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 1.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 1.688 * [taylor]: Taking taylor expansion of 0.5 in k 1.688 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.688 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.688 * [taylor]: Taking taylor expansion of 1.0 in k 1.688 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.688 * [taylor]: Taking taylor expansion of k in k 1.690 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 1.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.690 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.690 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.690 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.690 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.690 * [taylor]: Taking taylor expansion of k in k 1.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.691 * [taylor]: Taking taylor expansion of 1.0 in k 1.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.691 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.691 * [taylor]: Taking taylor expansion of 2.0 in k 1.691 * [taylor]: Taking taylor expansion of (* n PI) in k 1.691 * [taylor]: Taking taylor expansion of n in k 1.692 * [taylor]: Taking taylor expansion of PI in k 1.696 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.696 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.696 * [taylor]: Taking taylor expansion of 0.5 in n 1.696 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.696 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.696 * [taylor]: Taking taylor expansion of 1.0 in n 1.697 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.697 * [taylor]: Taking taylor expansion of k in n 1.697 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.697 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.697 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.697 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.697 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.697 * [taylor]: Taking taylor expansion of k in n 1.697 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.697 * [taylor]: Taking taylor expansion of 1.0 in n 1.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.698 * [taylor]: Taking taylor expansion of 2.0 in n 1.698 * [taylor]: Taking taylor expansion of (* n PI) in n 1.698 * [taylor]: Taking taylor expansion of n in n 1.698 * [taylor]: Taking taylor expansion of PI in n 1.708 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.708 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.708 * [taylor]: Taking taylor expansion of 0.5 in n 1.708 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.708 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.708 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.709 * [taylor]: Taking taylor expansion of k in n 1.709 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.709 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.709 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.709 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.709 * [taylor]: Taking taylor expansion of k in n 1.709 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (* n PI) in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 1.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 1.720 * [taylor]: Taking taylor expansion of 0.5 in k 1.720 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 1.720 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.720 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.720 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.720 * [taylor]: Taking taylor expansion of 2.0 in k 1.720 * [taylor]: Taking taylor expansion of PI in k 1.721 * [taylor]: Taking taylor expansion of (log n) in k 1.721 * [taylor]: Taking taylor expansion of n in k 1.721 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 1.721 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.721 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.721 * [taylor]: Taking taylor expansion of k in k 1.723 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.723 * [taylor]: Taking taylor expansion of 1.0 in k 1.723 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.723 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.723 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.724 * [taylor]: Taking taylor expansion of k in k 1.744 * [taylor]: Taking taylor expansion of 0 in k 1.785 * [taylor]: Taking taylor expansion of 0 in k 1.853 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 1.853 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.853 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.853 * [taylor]: Taking taylor expansion of 0.5 in k 1.853 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.854 * [taylor]: Taking taylor expansion of k in k 1.856 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.856 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.856 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.856 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.856 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.856 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.856 * [taylor]: Taking taylor expansion of 1.0 in k 1.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.856 * [taylor]: Taking taylor expansion of k in k 1.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.858 * [taylor]: Taking taylor expansion of 2.0 in k 1.858 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.858 * [taylor]: Taking taylor expansion of PI in k 1.858 * [taylor]: Taking taylor expansion of n in k 1.875 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.875 * [taylor]: Taking taylor expansion of 0.5 in n 1.875 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.875 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.875 * [taylor]: Taking taylor expansion of 1.0 in n 1.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.876 * [taylor]: Taking taylor expansion of k in n 1.876 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.876 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.876 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.876 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.876 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.876 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.876 * [taylor]: Taking taylor expansion of 1.0 in n 1.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.877 * [taylor]: Taking taylor expansion of k in n 1.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.885 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.885 * [taylor]: Taking taylor expansion of 0.5 in n 1.885 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.885 * [taylor]: Taking taylor expansion of 1.0 in n 1.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.886 * [taylor]: Taking taylor expansion of k in n 1.886 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.886 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.886 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.886 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.886 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.886 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.887 * [taylor]: Taking taylor expansion of k in n 1.887 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.887 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.887 * [taylor]: Taking taylor expansion of 2.0 in n 1.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.887 * [taylor]: Taking taylor expansion of PI in n 1.887 * [taylor]: Taking taylor expansion of n in n 1.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.896 * [taylor]: Taking taylor expansion of 0.5 in k 1.896 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.896 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.896 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.896 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.896 * [taylor]: Taking taylor expansion of 2.0 in k 1.896 * [taylor]: Taking taylor expansion of PI in k 1.897 * [taylor]: Taking taylor expansion of (log n) in k 1.897 * [taylor]: Taking taylor expansion of n in k 1.897 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.897 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.897 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.897 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.898 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.898 * [taylor]: Taking taylor expansion of k in k 1.899 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.899 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.899 * [taylor]: Taking taylor expansion of 1.0 in k 1.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.900 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.900 * [taylor]: Taking taylor expansion of k in k 1.964 * [taylor]: Taking taylor expansion of 0 in k 2.041 * [taylor]: Taking taylor expansion of 0 in k 2.179 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 2.179 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 2.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 2.179 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.179 * [taylor]: Taking taylor expansion of 0.5 in k 2.179 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.179 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.179 * [taylor]: Taking taylor expansion of 1.0 in k 2.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.180 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.180 * [taylor]: Taking taylor expansion of -1 in k 2.180 * [taylor]: Taking taylor expansion of k in k 2.181 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 2.181 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 2.181 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 2.182 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 2.182 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.182 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.182 * [taylor]: Taking taylor expansion of -1 in k 2.182 * [taylor]: Taking taylor expansion of k in k 2.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.183 * [taylor]: Taking taylor expansion of 1.0 in k 2.184 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.184 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.184 * [taylor]: Taking taylor expansion of -2.0 in k 2.184 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.184 * [taylor]: Taking taylor expansion of PI in k 2.184 * [taylor]: Taking taylor expansion of n in k 2.206 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.207 * [taylor]: Taking taylor expansion of 0.5 in n 2.207 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.207 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.207 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.207 * [taylor]: Taking taylor expansion of -1 in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.208 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.208 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.208 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.208 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.208 * [taylor]: Taking taylor expansion of -1 in n 2.208 * [taylor]: Taking taylor expansion of k in n 2.208 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.209 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.209 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.209 * [taylor]: Taking taylor expansion of -2.0 in n 2.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.209 * [taylor]: Taking taylor expansion of PI in n 2.209 * [taylor]: Taking taylor expansion of n in n 2.218 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.218 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.218 * [taylor]: Taking taylor expansion of 0.5 in n 2.218 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.218 * [taylor]: Taking taylor expansion of 1.0 in n 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.218 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.218 * [taylor]: Taking taylor expansion of -1 in n 2.219 * [taylor]: Taking taylor expansion of k in n 2.219 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.219 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.219 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.219 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.219 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.219 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.219 * [taylor]: Taking taylor expansion of -1 in n 2.219 * [taylor]: Taking taylor expansion of k in n 2.219 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.219 * [taylor]: Taking taylor expansion of 1.0 in n 2.220 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.220 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.220 * [taylor]: Taking taylor expansion of -2.0 in n 2.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.220 * [taylor]: Taking taylor expansion of PI in n 2.220 * [taylor]: Taking taylor expansion of n in n 2.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 2.228 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 2.228 * [taylor]: Taking taylor expansion of 0.5 in k 2.228 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.228 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.228 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.228 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.228 * [taylor]: Taking taylor expansion of -1 in k 2.228 * [taylor]: Taking taylor expansion of k in k 2.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.230 * [taylor]: Taking taylor expansion of 1.0 in k 2.230 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.231 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.231 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.231 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.231 * [taylor]: Taking taylor expansion of -2.0 in k 2.231 * [taylor]: Taking taylor expansion of PI in k 2.232 * [taylor]: Taking taylor expansion of (log n) in k 2.232 * [taylor]: Taking taylor expansion of n in k 2.232 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.232 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.232 * [taylor]: Taking taylor expansion of 1.0 in k 2.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.232 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.232 * [taylor]: Taking taylor expansion of -1 in k 2.232 * [taylor]: Taking taylor expansion of k in k 2.299 * [taylor]: Taking taylor expansion of 0 in k 2.378 * [taylor]: Taking taylor expansion of 0 in k 2.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.531 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.531 * [taylor]: Taking taylor expansion of 2.0 in n 2.531 * [taylor]: Taking taylor expansion of (* n PI) in n 2.531 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of PI in n 2.531 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.531 * [taylor]: Taking taylor expansion of 2.0 in n 2.531 * [taylor]: Taking taylor expansion of (* n PI) in n 2.531 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of PI in n 2.543 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.544 * [taylor]: Taking taylor expansion of 2.0 in n 2.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.544 * [taylor]: Taking taylor expansion of PI in n 2.544 * [taylor]: Taking taylor expansion of n in n 2.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.544 * [taylor]: Taking taylor expansion of 2.0 in n 2.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.544 * [taylor]: Taking taylor expansion of PI in n 2.544 * [taylor]: Taking taylor expansion of n in n 2.553 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.553 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.553 * [taylor]: Taking taylor expansion of -2.0 in n 2.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.553 * [taylor]: Taking taylor expansion of PI in n 2.553 * [taylor]: Taking taylor expansion of n in n 2.553 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.553 * [taylor]: Taking taylor expansion of -2.0 in n 2.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.554 * [taylor]: Taking taylor expansion of PI in n 2.554 * [taylor]: Taking taylor expansion of n in n 2.562 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.562 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.562 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.562 * [taylor]: Taking taylor expansion of 1.0 in k 2.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.562 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.564 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.576 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.576 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.576 * [taylor]: Taking taylor expansion of 1.0 in k 2.576 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.577 * [taylor]: Taking taylor expansion of k in k 2.587 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.587 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.587 * [taylor]: Taking taylor expansion of 1.0 in k 2.588 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.588 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.588 * [taylor]: Taking taylor expansion of -1 in k 2.588 * [taylor]: Taking taylor expansion of k in k 2.589 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.589 * [taylor]: Taking taylor expansion of 1.0 in k 2.589 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.589 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.589 * [taylor]: Taking taylor expansion of -1 in k 2.589 * [taylor]: Taking taylor expansion of k in k 2.601 * * * [progress]: simplifying candidates 2.604 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) 1) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (log (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (exp (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) 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PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) 2.679 * * * [progress]: adding candidates to table 3.188 * * [progress]: iteration 3 / 4 3.188 * * * [progress]: picking best candidate 3.220 * * * * [pick]: Picked # 3.221 * * * [progress]: localizing error 3.239 * * * [progress]: generating rewritten candidates 3.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.246 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.251 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 3.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.271 * * * [progress]: generating series expansions 3.271 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.272 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.272 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.272 * [taylor]: Taking taylor expansion of 0.5 in n 3.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.272 * [taylor]: Taking taylor expansion of 2.0 in n 3.272 * [taylor]: Taking taylor expansion of (* n PI) in n 3.272 * [taylor]: Taking taylor expansion of n in n 3.273 * [taylor]: Taking taylor expansion of PI in n 3.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.278 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.278 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.278 * [taylor]: Taking taylor expansion of 0.5 in n 3.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.278 * [taylor]: Taking taylor expansion of 2.0 in n 3.278 * [taylor]: Taking taylor expansion of (* n PI) in n 3.278 * [taylor]: Taking taylor expansion of n in n 3.278 * [taylor]: Taking taylor expansion of PI in n 3.364 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.364 * [taylor]: Taking taylor expansion of 0.5 in n 3.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.364 * [taylor]: Taking taylor expansion of 2.0 in n 3.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.364 * [taylor]: Taking taylor expansion of PI in n 3.364 * [taylor]: Taking taylor expansion of n in n 3.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.368 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.368 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.368 * [taylor]: Taking taylor expansion of 0.5 in n 3.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.368 * [taylor]: Taking taylor expansion of 2.0 in n 3.368 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.368 * [taylor]: Taking taylor expansion of PI in n 3.368 * [taylor]: Taking taylor expansion of n in n 3.451 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.451 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.451 * [taylor]: Taking taylor expansion of 0.5 in n 3.451 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.451 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.451 * [taylor]: Taking taylor expansion of -2.0 in n 3.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.451 * [taylor]: Taking taylor expansion of PI in n 3.451 * [taylor]: Taking taylor expansion of n in n 3.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.455 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.455 * [taylor]: Taking taylor expansion of 0.5 in n 3.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.455 * [taylor]: Taking taylor expansion of -2.0 in n 3.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.455 * [taylor]: Taking taylor expansion of PI in n 3.455 * [taylor]: Taking taylor expansion of n in n 3.538 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.539 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.539 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.539 * [taylor]: Taking taylor expansion of 2.0 in n 3.539 * [taylor]: Taking taylor expansion of (* n PI) in n 3.539 * [taylor]: Taking taylor expansion of n in n 3.539 * [taylor]: Taking taylor expansion of PI in n 3.539 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.539 * [taylor]: Taking taylor expansion of 2.0 in n 3.539 * [taylor]: Taking taylor expansion of (* n PI) in n 3.539 * [taylor]: Taking taylor expansion of n in n 3.539 * [taylor]: Taking taylor expansion of PI in n 3.558 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.559 * [taylor]: Taking taylor expansion of 2.0 in n 3.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.559 * [taylor]: Taking taylor expansion of PI in n 3.559 * [taylor]: Taking taylor expansion of n in n 3.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.559 * [taylor]: Taking taylor expansion of 2.0 in n 3.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.559 * [taylor]: Taking taylor expansion of PI in n 3.559 * [taylor]: Taking taylor expansion of n in n 3.568 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.568 * [taylor]: Taking taylor expansion of -2.0 in n 3.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.568 * [taylor]: Taking taylor expansion of PI in n 3.568 * [taylor]: Taking taylor expansion of n in n 3.569 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.569 * [taylor]: Taking taylor expansion of -2.0 in n 3.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.569 * [taylor]: Taking taylor expansion of PI in n 3.569 * [taylor]: Taking taylor expansion of n in n 3.577 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.578 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.578 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.578 * [taylor]: Taking taylor expansion of 2.0 in n 3.578 * [taylor]: Taking taylor expansion of (* n PI) in n 3.578 * [taylor]: Taking taylor expansion of n in n 3.578 * [taylor]: Taking taylor expansion of PI in n 3.578 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.578 * [taylor]: Taking taylor expansion of 2.0 in n 3.578 * [taylor]: Taking taylor expansion of (* n PI) in n 3.578 * [taylor]: Taking taylor expansion of n in n 3.578 * [taylor]: Taking taylor expansion of PI in n 3.590 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.590 * [taylor]: Taking taylor expansion of 2.0 in n 3.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.590 * [taylor]: Taking taylor expansion of PI in n 3.590 * [taylor]: Taking taylor expansion of n in n 3.591 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.591 * [taylor]: Taking taylor expansion of 2.0 in n 3.591 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.591 * [taylor]: Taking taylor expansion of PI in n 3.591 * [taylor]: Taking taylor expansion of n in n 3.600 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.600 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.600 * [taylor]: Taking taylor expansion of -2.0 in n 3.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.600 * [taylor]: Taking taylor expansion of PI in n 3.600 * [taylor]: Taking taylor expansion of n in n 3.600 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.600 * [taylor]: Taking taylor expansion of -2.0 in n 3.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.600 * [taylor]: Taking taylor expansion of PI in n 3.600 * [taylor]: Taking taylor expansion of n in n 3.609 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.610 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.610 * [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 3.610 * [taylor]: Taking taylor expansion of 1.0 in k 3.610 * [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 3.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.611 * [taylor]: Taking taylor expansion of k in k 3.612 * [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 3.612 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.612 * [taylor]: Taking taylor expansion of 0.5 in k 3.612 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.612 * [taylor]: Taking taylor expansion of 1.0 in k 3.612 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.612 * [taylor]: Taking taylor expansion of 2.0 in k 3.614 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.614 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.614 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.614 * [taylor]: Taking taylor expansion of 1.0 in k 3.614 * [taylor]: Taking taylor expansion of (log n) in k 3.614 * [taylor]: Taking taylor expansion of n in k 3.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.614 * [taylor]: Taking taylor expansion of 1.0 in k 3.614 * [taylor]: Taking taylor expansion of (log PI) in k 3.614 * [taylor]: Taking taylor expansion of PI in k 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.620 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.620 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.620 * [taylor]: Taking taylor expansion of 0.5 in k 3.620 * [taylor]: Taking taylor expansion of k in k 3.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.620 * [taylor]: Taking taylor expansion of 2.0 in k 3.620 * [taylor]: Taking taylor expansion of (* n PI) in k 3.620 * [taylor]: Taking taylor expansion of n in k 3.620 * [taylor]: Taking taylor expansion of PI in k 3.623 * [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 3.623 * [taylor]: Taking taylor expansion of 1.0 in n 3.623 * [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 3.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.623 * [taylor]: Taking taylor expansion of k in n 3.623 * [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 3.623 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.623 * [taylor]: Taking taylor expansion of 0.5 in n 3.623 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.623 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.623 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.623 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.623 * [taylor]: Taking taylor expansion of 1.0 in n 3.623 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.623 * [taylor]: Taking taylor expansion of 2.0 in n 3.625 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.625 * [taylor]: Taking taylor expansion of 1.0 in n 3.625 * [taylor]: Taking taylor expansion of (log n) in n 3.625 * [taylor]: Taking taylor expansion of n in n 3.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.626 * [taylor]: Taking taylor expansion of 1.0 in n 3.626 * [taylor]: Taking taylor expansion of (log PI) in n 3.626 * [taylor]: Taking taylor expansion of PI in n 3.632 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.632 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.632 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.632 * [taylor]: Taking taylor expansion of 0.5 in n 3.632 * [taylor]: Taking taylor expansion of k in n 3.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.632 * [taylor]: Taking taylor expansion of 2.0 in n 3.632 * [taylor]: Taking taylor expansion of (* n PI) in n 3.632 * [taylor]: Taking taylor expansion of n in n 3.632 * [taylor]: Taking taylor expansion of PI in n 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of 1.0 in n 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.645 * [taylor]: Taking taylor expansion of k in n 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.645 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.645 * [taylor]: Taking taylor expansion of 0.5 in n 3.645 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.645 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 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) (pow PI 1.0)) 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 3.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.648 * [taylor]: Taking taylor expansion of 1.0 in n 3.648 * [taylor]: Taking taylor expansion of (log PI) in n 3.648 * [taylor]: Taking taylor expansion of PI in n 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.653 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.653 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.653 * [taylor]: Taking taylor expansion of 0.5 in n 3.653 * [taylor]: Taking taylor expansion of k in n 3.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.653 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.653 * [taylor]: Taking taylor expansion of 2.0 in n 3.653 * [taylor]: Taking taylor expansion of (* n PI) in n 3.653 * [taylor]: Taking taylor expansion of n in n 3.653 * [taylor]: Taking taylor expansion of PI in n 3.665 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.665 * [taylor]: Taking taylor expansion of 1.0 in k 3.665 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.665 * [taylor]: Taking taylor expansion of k in k 3.666 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.666 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.666 * [taylor]: Taking taylor expansion of 0.5 in k 3.666 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.666 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.666 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.666 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.666 * [taylor]: Taking taylor expansion of 1.0 in k 3.666 * [taylor]: Taking taylor expansion of (log PI) in k 3.666 * [taylor]: Taking taylor expansion of PI in k 3.668 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.668 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.668 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.668 * [taylor]: Taking taylor expansion of 1.0 in k 3.668 * [taylor]: Taking taylor expansion of (log n) in k 3.668 * [taylor]: Taking taylor expansion of n in k 3.669 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.669 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.669 * [taylor]: Taking taylor expansion of 1.0 in k 3.669 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.669 * [taylor]: Taking taylor expansion of 2.0 in k 3.674 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.674 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.674 * [taylor]: Taking taylor expansion of 0.5 in k 3.674 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.674 * [taylor]: Taking taylor expansion of k in k 3.674 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.674 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.674 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.674 * [taylor]: Taking taylor expansion of 2.0 in k 3.674 * [taylor]: Taking taylor expansion of PI in k 3.675 * [taylor]: Taking taylor expansion of (log n) in k 3.675 * [taylor]: Taking taylor expansion of n in k 3.706 * [taylor]: Taking taylor expansion of 0 in k 3.766 * [taylor]: Taking taylor expansion of 0 in k 3.868 * [taylor]: Taking taylor expansion of 0 in k 3.988 * [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 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of 1.0 in k 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.988 * [taylor]: Taking taylor expansion of k in k 3.989 * [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 3.989 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.989 * [taylor]: Taking taylor expansion of 0.5 in k 3.989 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.989 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.989 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.989 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.989 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.989 * [taylor]: Taking taylor expansion of 1.0 in k 3.989 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.989 * [taylor]: Taking taylor expansion of 2.0 in k 3.991 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.991 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.991 * [taylor]: Taking taylor expansion of 1.0 in k 3.991 * [taylor]: Taking taylor expansion of (log PI) in k 3.991 * [taylor]: Taking taylor expansion of PI in k 4.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.142 * [taylor]: Taking taylor expansion of 1.0 in k 4.142 * [taylor]: Taking taylor expansion of (log n) in k 4.142 * [taylor]: Taking taylor expansion of n in k 4.149 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.149 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.149 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.149 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.149 * [taylor]: Taking taylor expansion of 0.5 in k 4.149 * [taylor]: Taking taylor expansion of k in k 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.149 * [taylor]: Taking taylor expansion of 2.0 in k 4.149 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.149 * [taylor]: Taking taylor expansion of PI in k 4.149 * [taylor]: Taking taylor expansion of n in k 4.150 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.150 * [taylor]: Taking taylor expansion of 1.0 in n 4.150 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.150 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.150 * [taylor]: Taking taylor expansion of k in n 4.150 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.150 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.150 * [taylor]: Taking taylor expansion of 0.5 in n 4.150 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.150 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.150 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.150 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.150 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.150 * [taylor]: Taking taylor expansion of 1.0 in n 4.150 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.150 * [taylor]: Taking taylor expansion of 2.0 in n 4.152 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.152 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.152 * [taylor]: Taking taylor expansion of 1.0 in n 4.152 * [taylor]: Taking taylor expansion of (log PI) in n 4.152 * [taylor]: Taking taylor expansion of PI in n 4.154 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.154 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.154 * [taylor]: Taking taylor expansion of 1.0 in n 4.154 * [taylor]: Taking taylor expansion of (log n) in n 4.154 * [taylor]: Taking taylor expansion of n in n 4.161 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.161 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.162 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.162 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.162 * [taylor]: Taking taylor expansion of 0.5 in n 4.162 * [taylor]: Taking taylor expansion of k in n 4.162 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.162 * [taylor]: Taking taylor expansion of 2.0 in n 4.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.162 * [taylor]: Taking taylor expansion of PI in n 4.162 * [taylor]: Taking taylor expansion of n in n 4.166 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.166 * [taylor]: Taking taylor expansion of 1.0 in n 4.166 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.166 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.166 * [taylor]: Taking taylor expansion of k in n 4.166 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.166 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.166 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.166 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.166 * [taylor]: Taking taylor expansion of 0.5 in n 4.166 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.166 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.166 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.166 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.166 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.166 * [taylor]: Taking taylor expansion of 1.0 in n 4.166 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.166 * [taylor]: Taking taylor expansion of 2.0 in n 4.168 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.168 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.168 * [taylor]: Taking taylor expansion of 1.0 in n 4.168 * [taylor]: Taking taylor expansion of (log PI) in n 4.168 * [taylor]: Taking taylor expansion of PI in n 4.170 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.170 * [taylor]: Taking taylor expansion of 1.0 in n 4.170 * [taylor]: Taking taylor expansion of (log n) in n 4.170 * [taylor]: Taking taylor expansion of n in n 4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.177 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.177 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.177 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.177 * [taylor]: Taking taylor expansion of 0.5 in n 4.177 * [taylor]: Taking taylor expansion of k in n 4.177 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.177 * [taylor]: Taking taylor expansion of 2.0 in n 4.177 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.177 * [taylor]: Taking taylor expansion of PI in n 4.177 * [taylor]: Taking taylor expansion of n in n 4.187 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 4.187 * [taylor]: Taking taylor expansion of 1.0 in k 4.187 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 4.187 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.187 * [taylor]: Taking taylor expansion of k in k 4.189 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 4.189 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.189 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.189 * [taylor]: Taking taylor expansion of 0.5 in k 4.189 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.189 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.189 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.189 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.189 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.189 * [taylor]: Taking taylor expansion of 1.0 in k 4.189 * [taylor]: Taking taylor expansion of (log PI) in k 4.189 * [taylor]: Taking taylor expansion of PI in k 4.191 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.191 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.191 * [taylor]: Taking taylor expansion of 1.0 in k 4.191 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.191 * [taylor]: Taking taylor expansion of 2.0 in k 4.193 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.193 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.193 * [taylor]: Taking taylor expansion of 1.0 in k 4.193 * [taylor]: Taking taylor expansion of (log n) in k 4.193 * [taylor]: Taking taylor expansion of n in k 4.199 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.199 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.199 * [taylor]: Taking taylor expansion of 0.5 in k 4.199 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.199 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.199 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.199 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.199 * [taylor]: Taking taylor expansion of 2.0 in k 4.199 * [taylor]: Taking taylor expansion of PI in k 4.200 * [taylor]: Taking taylor expansion of (log n) in k 4.200 * [taylor]: Taking taylor expansion of n in k 4.200 * [taylor]: Taking taylor expansion of k in k 4.238 * [taylor]: Taking taylor expansion of 0 in k 4.296 * [taylor]: Taking taylor expansion of 0 in k 4.380 * [taylor]: Taking taylor expansion of 0 in k 4.438 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.438 * [taylor]: Taking taylor expansion of 1.0 in k 4.438 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.438 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.439 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.439 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.439 * [taylor]: Taking taylor expansion of -1 in k 4.439 * [taylor]: Taking taylor expansion of k in k 4.440 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.440 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.440 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.440 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.440 * [taylor]: Taking taylor expansion of -0.5 in k 4.440 * [taylor]: Taking taylor expansion of k in k 4.440 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.440 * [taylor]: Taking taylor expansion of -2.0 in k 4.440 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.440 * [taylor]: Taking taylor expansion of PI in k 4.440 * [taylor]: Taking taylor expansion of n in k 4.441 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.441 * [taylor]: Taking taylor expansion of 0.5 in k 4.441 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.441 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.441 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.441 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.441 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.441 * [taylor]: Taking taylor expansion of 1.0 in k 4.441 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.441 * [taylor]: Taking taylor expansion of -2.0 in k 4.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.443 * [taylor]: Taking taylor expansion of 1.0 in k 4.443 * [taylor]: Taking taylor expansion of (log PI) in k 4.443 * [taylor]: Taking taylor expansion of PI in k 4.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.445 * [taylor]: Taking taylor expansion of 1.0 in k 4.445 * [taylor]: Taking taylor expansion of (log n) in k 4.445 * [taylor]: Taking taylor expansion of n in k 4.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.452 * [taylor]: Taking taylor expansion of 1.0 in n 4.452 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.452 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.452 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.452 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.452 * [taylor]: Taking taylor expansion of -1 in n 4.452 * [taylor]: Taking taylor expansion of k in n 4.452 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.452 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.452 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.452 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.452 * [taylor]: Taking taylor expansion of -0.5 in n 4.452 * [taylor]: Taking taylor expansion of k in n 4.452 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.452 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.452 * [taylor]: Taking taylor expansion of -2.0 in n 4.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.453 * [taylor]: Taking taylor expansion of PI in n 4.453 * [taylor]: Taking taylor expansion of n in n 4.458 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.458 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.458 * [taylor]: Taking taylor expansion of 0.5 in n 4.458 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.458 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.458 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.458 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.458 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.458 * [taylor]: Taking taylor expansion of 1.0 in n 4.458 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.458 * [taylor]: Taking taylor expansion of -2.0 in n 4.460 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.460 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.460 * [taylor]: Taking taylor expansion of 1.0 in n 4.460 * [taylor]: Taking taylor expansion of (log PI) in n 4.460 * [taylor]: Taking taylor expansion of PI in n 4.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.462 * [taylor]: Taking taylor expansion of 1.0 in n 4.462 * [taylor]: Taking taylor expansion of (log n) in n 4.462 * [taylor]: Taking taylor expansion of n in n 4.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.469 * [taylor]: Taking taylor expansion of 1.0 in n 4.469 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.469 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.469 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.469 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.469 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.469 * [taylor]: Taking taylor expansion of -1 in n 4.469 * [taylor]: Taking taylor expansion of k in n 4.469 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.469 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.469 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.469 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.469 * [taylor]: Taking taylor expansion of -0.5 in n 4.469 * [taylor]: Taking taylor expansion of k in n 4.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.469 * [taylor]: Taking taylor expansion of -2.0 in n 4.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.469 * [taylor]: Taking taylor expansion of PI in n 4.469 * [taylor]: Taking taylor expansion of n in n 4.474 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.474 * [taylor]: Taking taylor expansion of 0.5 in n 4.474 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.474 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.474 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.474 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.474 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.474 * [taylor]: Taking taylor expansion of -2.0 in n 4.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [taylor]: Taking taylor expansion of (log PI) in n 4.476 * [taylor]: Taking taylor expansion of PI in n 4.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.478 * [taylor]: Taking taylor expansion of 1.0 in n 4.478 * [taylor]: Taking taylor expansion of (log n) in n 4.478 * [taylor]: Taking taylor expansion of n in n 4.489 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.489 * [taylor]: Taking taylor expansion of 1.0 in k 4.490 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.490 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.490 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.490 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.490 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.490 * [taylor]: Taking taylor expansion of -0.5 in k 4.490 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.490 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.490 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.490 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.490 * [taylor]: Taking taylor expansion of -2.0 in k 4.490 * [taylor]: Taking taylor expansion of PI in k 4.496 * [taylor]: Taking taylor expansion of (log n) in k 4.497 * [taylor]: Taking taylor expansion of n in k 4.497 * [taylor]: Taking taylor expansion of k in k 4.499 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.499 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.499 * [taylor]: Taking taylor expansion of -1 in k 4.500 * [taylor]: Taking taylor expansion of k in k 4.503 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.504 * [taylor]: Taking taylor expansion of 0.5 in k 4.504 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.504 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.504 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.504 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.504 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.504 * [taylor]: Taking taylor expansion of 1.0 in k 4.504 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.504 * [taylor]: Taking taylor expansion of -2.0 in k 4.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.506 * [taylor]: Taking taylor expansion of 1.0 in k 4.506 * [taylor]: Taking taylor expansion of (log PI) in k 4.506 * [taylor]: Taking taylor expansion of PI in k 4.508 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.508 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.508 * [taylor]: Taking taylor expansion of 1.0 in k 4.508 * [taylor]: Taking taylor expansion of (log n) in k 4.508 * [taylor]: Taking taylor expansion of n in k 4.545 * [taylor]: Taking taylor expansion of 0 in k 4.614 * [taylor]: Taking taylor expansion of 0 in k 4.661 * * * [progress]: simplifying candidates 4.663 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) 4.679 * * [simplify]: iteration 0 : 916 enodes (cost 1358 ) 4.694 * * [simplify]: iteration 1 : 3951 enodes (cost 1199 ) 4.759 * * [simplify]: iteration 2 : 5002 enodes (cost 1199 ) 4.765 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 4.766 * * * [progress]: adding candidates to table 4.989 * * [progress]: iteration 4 / 4 4.989 * * * [progress]: picking best candidate 5.015 * * * * [pick]: Picked # 5.015 * * * [progress]: localizing error 5.033 * * * [progress]: generating rewritten candidates 5.034 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.040 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.049 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.054 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.061 * * * [progress]: generating series expansions 5.061 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.062 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.062 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.062 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.062 * [taylor]: Taking taylor expansion of 0.5 in n 5.062 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.062 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.062 * [taylor]: Taking taylor expansion of 2.0 in n 5.062 * [taylor]: Taking taylor expansion of (* n PI) in n 5.062 * [taylor]: Taking taylor expansion of n in n 5.062 * [taylor]: Taking taylor expansion of PI in n 5.067 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.068 * [taylor]: Taking taylor expansion of 0.5 in n 5.068 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.068 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.068 * [taylor]: Taking taylor expansion of 2.0 in n 5.068 * [taylor]: Taking taylor expansion of (* n PI) in n 5.068 * [taylor]: Taking taylor expansion of n in n 5.068 * [taylor]: Taking taylor expansion of PI in n 5.152 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.153 * [taylor]: Taking taylor expansion of 0.5 in n 5.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.153 * [taylor]: Taking taylor expansion of 2.0 in n 5.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.153 * [taylor]: Taking taylor expansion of PI in n 5.153 * [taylor]: Taking taylor expansion of n in n 5.156 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.156 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.156 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.156 * [taylor]: Taking taylor expansion of 0.5 in n 5.156 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.156 * [taylor]: Taking taylor expansion of 2.0 in n 5.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.156 * [taylor]: Taking taylor expansion of PI in n 5.156 * [taylor]: Taking taylor expansion of n in n 5.238 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.238 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.238 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.238 * [taylor]: Taking taylor expansion of 0.5 in n 5.238 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.238 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.238 * [taylor]: Taking taylor expansion of -2.0 in n 5.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.238 * [taylor]: Taking taylor expansion of PI in n 5.238 * [taylor]: Taking taylor expansion of n in n 5.241 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.241 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.241 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.241 * [taylor]: Taking taylor expansion of 0.5 in n 5.241 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.241 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.241 * [taylor]: Taking taylor expansion of -2.0 in n 5.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.241 * [taylor]: Taking taylor expansion of PI in n 5.241 * [taylor]: Taking taylor expansion of n in n 5.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.321 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.322 * [taylor]: Taking taylor expansion of 2.0 in n 5.322 * [taylor]: Taking taylor expansion of (* n PI) in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.322 * [taylor]: Taking taylor expansion of PI in n 5.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.322 * [taylor]: Taking taylor expansion of 2.0 in n 5.322 * [taylor]: Taking taylor expansion of (* n PI) in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.322 * [taylor]: Taking taylor expansion of PI in n 5.335 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.335 * [taylor]: Taking taylor expansion of 2.0 in n 5.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.335 * [taylor]: Taking taylor expansion of PI in n 5.335 * [taylor]: Taking taylor expansion of n in n 5.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.335 * [taylor]: Taking taylor expansion of 2.0 in n 5.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.336 * [taylor]: Taking taylor expansion of PI in n 5.336 * [taylor]: Taking taylor expansion of n in n 5.344 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.344 * [taylor]: Taking taylor expansion of -2.0 in n 5.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.344 * [taylor]: Taking taylor expansion of PI in n 5.344 * [taylor]: Taking taylor expansion of n in n 5.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.345 * [taylor]: Taking taylor expansion of -2.0 in n 5.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.345 * [taylor]: Taking taylor expansion of PI in n 5.345 * [taylor]: Taking taylor expansion of n in n 5.354 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.354 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.354 * [taylor]: Taking taylor expansion of 2.0 in n 5.354 * [taylor]: Taking taylor expansion of (* n PI) in n 5.354 * [taylor]: Taking taylor expansion of n in n 5.354 * [taylor]: Taking taylor expansion of PI in n 5.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.354 * [taylor]: Taking taylor expansion of 2.0 in n 5.354 * [taylor]: Taking taylor expansion of (* n PI) in n 5.354 * [taylor]: Taking taylor expansion of n in n 5.355 * [taylor]: Taking taylor expansion of PI in n 5.367 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.367 * [taylor]: Taking taylor expansion of 2.0 in n 5.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.367 * [taylor]: Taking taylor expansion of PI in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.367 * [taylor]: Taking taylor expansion of 2.0 in n 5.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.367 * [taylor]: Taking taylor expansion of PI in n 5.367 * [taylor]: Taking taylor expansion of n in n 5.383 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.383 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.383 * [taylor]: Taking taylor expansion of -2.0 in n 5.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.383 * [taylor]: Taking taylor expansion of PI in n 5.383 * [taylor]: Taking taylor expansion of n in n 5.384 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.384 * [taylor]: Taking taylor expansion of -2.0 in n 5.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.384 * [taylor]: Taking taylor expansion of PI in n 5.384 * [taylor]: Taking taylor expansion of n in n 5.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.393 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.393 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.393 * [taylor]: Taking taylor expansion of 1.0 in k 5.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.393 * [taylor]: Taking taylor expansion of k in k 5.395 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.395 * [taylor]: Taking taylor expansion of 1.0 in k 5.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.395 * [taylor]: Taking taylor expansion of k in k 5.406 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.406 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.406 * [taylor]: Taking taylor expansion of 1.0 in k 5.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.406 * [taylor]: Taking taylor expansion of k in k 5.407 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.407 * [taylor]: Taking taylor expansion of 1.0 in k 5.407 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.407 * [taylor]: Taking taylor expansion of k in k 5.418 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.418 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.418 * [taylor]: Taking taylor expansion of 1.0 in k 5.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.418 * [taylor]: Taking taylor expansion of -1 in k 5.418 * [taylor]: Taking taylor expansion of k in k 5.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.419 * [taylor]: Taking taylor expansion of 1.0 in k 5.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.419 * [taylor]: Taking taylor expansion of -1 in k 5.419 * [taylor]: Taking taylor expansion of k in k 5.431 * * * [progress]: simplifying candidates 5.433 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 5.439 * * [simplify]: iteration 0 : 435 enodes (cost 565 ) 5.447 * * [simplify]: iteration 1 : 1610 enodes (cost 505 ) 5.478 * * [simplify]: iteration 2 : 5001 enodes (cost 493 ) 5.482 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3))) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) +nan.0) 5.482 * * * [progress]: adding candidates to table 5.734 * [progress]: [Phase 3 of 3] Extracting. 5.734 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.738 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.738 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.785 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.838 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.886 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.932 * * * [regime]: Found split indices: #