11.483 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.172 * [progress]: [Phase 2 of 3] Improving. 0.172 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.175 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.177 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.178 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.181 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.187 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.210 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.210 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.251 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.268 * * * [progress]: generating series expansions 0.268 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.269 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 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 0.269 * [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 0.281 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of 2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.290 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -2.0 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -2.0 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.299 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.300 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.313 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.313 * [taylor]: Taking taylor expansion of k in k 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.330 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.330 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.330 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.330 * [taylor]: Taking taylor expansion of -1 in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.332 * [taylor]: Taking taylor expansion of -1 in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.344 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.344 * [taylor]: Taking taylor expansion of 2.0 in k 0.344 * [taylor]: Taking taylor expansion of (* n PI) in k 0.344 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.345 * [taylor]: Taking taylor expansion of (* n PI) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.351 * [taylor]: Taking taylor expansion of 0.5 in n 0.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.351 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [taylor]: Taking taylor expansion of (* n PI) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.356 * [taylor]: Taking taylor expansion of 0.5 in k 0.356 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.356 * [taylor]: Taking taylor expansion of 1.0 in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.356 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.356 * [taylor]: Taking taylor expansion of 2.0 in k 0.356 * [taylor]: Taking taylor expansion of PI in k 0.357 * [taylor]: Taking taylor expansion of (log n) in k 0.357 * [taylor]: Taking taylor expansion of n in k 0.366 * [taylor]: Taking taylor expansion of 0 in k 0.382 * [taylor]: Taking taylor expansion of 0 in k 0.401 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.401 * [taylor]: Taking taylor expansion of 0.5 in k 0.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.401 * [taylor]: Taking taylor expansion of 1.0 in k 0.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.401 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.407 * [taylor]: Taking taylor expansion of 2.0 in k 0.407 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of n in k 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.412 * [taylor]: Taking taylor expansion of 0.5 in n 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.412 * [taylor]: Taking taylor expansion of 1.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.412 * [taylor]: Taking taylor expansion of k in n 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.416 * [taylor]: Taking taylor expansion of 0.5 in k 0.416 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.416 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.416 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.416 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.416 * [taylor]: Taking taylor expansion of 2.0 in k 0.416 * [taylor]: Taking taylor expansion of PI in k 0.417 * [taylor]: Taking taylor expansion of (log n) in k 0.417 * [taylor]: Taking taylor expansion of n in k 0.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.417 * [taylor]: Taking taylor expansion of 1.0 in k 0.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.417 * [taylor]: Taking taylor expansion of k in k 0.427 * [taylor]: Taking taylor expansion of 0 in k 0.434 * [taylor]: Taking taylor expansion of 0 in k 0.443 * [taylor]: Taking taylor expansion of 0 in k 0.444 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.444 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.444 * [taylor]: Taking taylor expansion of 0.5 in k 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.445 * [taylor]: Taking taylor expansion of k in k 0.445 * [taylor]: Taking taylor expansion of 1.0 in k 0.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.445 * [taylor]: Taking taylor expansion of -2.0 in k 0.445 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.445 * [taylor]: Taking taylor expansion of PI in k 0.445 * [taylor]: Taking taylor expansion of n in k 0.446 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.446 * [taylor]: Taking taylor expansion of 0.5 in n 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.446 * [taylor]: Taking taylor expansion of k in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.446 * [taylor]: Taking taylor expansion of -2.0 in n 0.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.450 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.450 * [taylor]: Taking taylor expansion of 0.5 in n 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.450 * [taylor]: Taking taylor expansion of k in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.450 * [taylor]: Taking taylor expansion of -2.0 in n 0.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.454 * [taylor]: Taking taylor expansion of 0.5 in k 0.454 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.454 * [taylor]: Taking taylor expansion of k in k 0.454 * [taylor]: Taking taylor expansion of 1.0 in k 0.454 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.454 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.454 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.454 * [taylor]: Taking taylor expansion of -2.0 in k 0.454 * [taylor]: Taking taylor expansion of PI in k 0.455 * [taylor]: Taking taylor expansion of (log n) in k 0.455 * [taylor]: Taking taylor expansion of n in k 0.464 * [taylor]: Taking taylor expansion of 0 in k 0.471 * [taylor]: Taking taylor expansion of 0 in k 0.479 * [taylor]: Taking taylor expansion of 0 in k 0.480 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.481 * [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 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.481 * [taylor]: Taking taylor expansion of k in n 0.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.481 * [taylor]: Taking taylor expansion of 0.5 in n 0.481 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of k in n 0.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.481 * [taylor]: Taking taylor expansion of 2.0 in n 0.481 * [taylor]: Taking taylor expansion of (* n PI) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.481 * [taylor]: Taking taylor expansion of PI in n 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.487 * [taylor]: Taking taylor expansion of 1.0 in k 0.487 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.487 * [taylor]: Taking taylor expansion of k in k 0.488 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.489 * [taylor]: Taking taylor expansion of 0.5 in k 0.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.489 * [taylor]: Taking taylor expansion of 1.0 in k 0.489 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.489 * [taylor]: Taking taylor expansion of 2.0 in k 0.489 * [taylor]: Taking taylor expansion of (* n PI) in k 0.489 * [taylor]: Taking taylor expansion of n in k 0.489 * [taylor]: Taking taylor expansion of PI in k 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.495 * [taylor]: Taking taylor expansion of 1.0 in k 0.495 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.495 * [taylor]: Taking taylor expansion of k in k 0.497 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.497 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.497 * [taylor]: Taking taylor expansion of 0.5 in k 0.497 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.497 * [taylor]: Taking taylor expansion of 1.0 in k 0.497 * [taylor]: Taking taylor expansion of k in k 0.497 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.497 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.497 * [taylor]: Taking taylor expansion of 2.0 in k 0.497 * [taylor]: Taking taylor expansion of (* n PI) in k 0.497 * [taylor]: Taking taylor expansion of n in k 0.497 * [taylor]: Taking taylor expansion of PI in k 0.498 * [taylor]: Taking taylor expansion of 0 in n 0.504 * [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 0.504 * [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 0.504 * [taylor]: Taking taylor expansion of +nan.0 in n 0.504 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.504 * [taylor]: Taking taylor expansion of 0.5 in n 0.504 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.504 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log PI) in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.506 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log n) in n 0.506 * [taylor]: Taking taylor expansion of n in n 0.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.526 * [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 0.526 * [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 0.526 * [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 0.526 * [taylor]: Taking taylor expansion of +nan.0 in n 0.526 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.526 * [taylor]: Taking taylor expansion of 0.5 in n 0.526 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.526 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log PI) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.528 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log n) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.529 * [taylor]: Taking taylor expansion of 2.0 in n 0.534 * [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 0.534 * [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 0.534 * [taylor]: Taking taylor expansion of +nan.0 in n 0.534 * [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 0.534 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.534 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.534 * [taylor]: Taking taylor expansion of 0.5 in n 0.534 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.534 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.536 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log PI) in n 0.536 * [taylor]: Taking taylor expansion of PI in n 0.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log n) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.542 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [taylor]: Taking taylor expansion of (* n PI) in n 0.542 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.598 * [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 0.598 * [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 0.598 * [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 0.598 * [taylor]: Taking taylor expansion of +nan.0 in n 0.598 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.598 * [taylor]: Taking taylor expansion of 0.5 in n 0.598 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.598 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.598 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log n) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log PI) in n 0.600 * [taylor]: Taking taylor expansion of PI in n 0.606 * [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 0.606 * [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 0.606 * [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 0.606 * [taylor]: Taking taylor expansion of +nan.0 in n 0.606 * [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 0.606 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.606 * [taylor]: Taking taylor expansion of 0.5 in n 0.606 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.606 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.606 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.608 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log PI) in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log n) in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.614 * [taylor]: Taking taylor expansion of 2.0 in n 0.614 * [taylor]: Taking taylor expansion of (* n PI) in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.614 * [taylor]: Taking taylor expansion of PI 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 (* (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 0.626 * [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 0.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.705 * [taylor]: Taking taylor expansion of 2.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.705 * [taylor]: Taking taylor expansion of PI in n 0.705 * [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 0.710 * [taylor]: Taking taylor expansion of 0.5 in k 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.710 * [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 0.712 * [taylor]: Taking taylor expansion of 1.0 in k 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.712 * [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 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.716 * [taylor]: Taking taylor expansion of 1.0 in n 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.716 * [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 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.725 * [taylor]: Taking taylor expansion of +nan.0 in n 0.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.725 * [taylor]: Taking taylor expansion of 0.5 in n 0.725 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.725 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of 2.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [taylor]: Taking taylor expansion of n in n 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [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 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.743 * [taylor]: Taking taylor expansion of 2.0 in n 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.743 * [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 0.753 * [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 0.753 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.753 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.753 * [taylor]: Taking taylor expansion of 0.5 in n 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [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 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.757 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.757 * [taylor]: Taking taylor expansion of -1 in n 0.757 * [taylor]: Taking taylor expansion of k in n 0.758 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.758 * [taylor]: Taking taylor expansion of 1.0 in k 0.758 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.758 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.758 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.758 * [taylor]: Taking taylor expansion of 0.5 in k 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.758 * [taylor]: Taking taylor expansion of k in k 0.759 * [taylor]: Taking taylor expansion of 1.0 in k 0.759 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.759 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.759 * [taylor]: Taking taylor expansion of -2.0 in k 0.759 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.759 * [taylor]: Taking taylor expansion of PI in k 0.759 * [taylor]: Taking taylor expansion of n in k 0.760 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.760 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.760 * [taylor]: Taking taylor expansion of -1 in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.761 * [taylor]: Taking taylor expansion of 1.0 in k 0.761 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.761 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.762 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.762 * [taylor]: Taking taylor expansion of 0.5 in k 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.762 * [taylor]: Taking taylor expansion of k in k 0.762 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.767 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.767 * [taylor]: Taking taylor expansion of -2.0 in k 0.767 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.767 * [taylor]: Taking taylor expansion of PI in k 0.767 * [taylor]: Taking taylor expansion of n in k 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.768 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.768 * [taylor]: Taking taylor expansion of -1 in k 0.768 * [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 0.770 * [taylor]: Taking taylor expansion of n in n 0.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.779 * [taylor]: Taking taylor expansion of +nan.0 in n 0.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.779 * [taylor]: Taking taylor expansion of 0.5 in n 0.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.779 * [taylor]: Taking taylor expansion of k in n 0.779 * [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 0.797 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.797 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.797 * [taylor]: Taking taylor expansion of +nan.0 in n 0.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.797 * [taylor]: Taking taylor expansion of 0.5 in n 0.798 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.798 * [taylor]: Taking taylor expansion of k in n 0.798 * [taylor]: Taking taylor expansion of 1.0 in n 0.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.798 * [taylor]: Taking taylor expansion of -2.0 in n 0.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.798 * [taylor]: Taking taylor expansion of PI in n 0.798 * [taylor]: Taking taylor expansion of n in n 0.807 * * * [progress]: simplifying candidates 0.809 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (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))) (* (/ (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))) (* (* 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))) (- (- (+ (+ (* (* 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)))))) (+ (- (* +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)))) 0.911 * * * [progress]: adding candidates to table 1.292 * * [progress]: iteration 2 / 4 1.292 * * * [progress]: picking best candidate 1.319 * * * * [pick]: Picked # 1.319 * * * [progress]: localizing error 1.342 * * * [progress]: generating rewritten candidates 1.342 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.348 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.363 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.375 * * * [progress]: generating series expansions 1.375 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.376 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.376 * [taylor]: Taking taylor expansion of 2.0 in n 1.376 * [taylor]: Taking taylor expansion of (* n PI) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of PI in n 1.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.376 * [taylor]: Taking taylor expansion of 2.0 in n 1.376 * [taylor]: Taking taylor expansion of (* n PI) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.376 * [taylor]: Taking taylor expansion of PI in n 1.388 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.389 * [taylor]: Taking taylor expansion of 2.0 in n 1.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.389 * [taylor]: Taking taylor expansion of PI in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.397 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.397 * [taylor]: Taking taylor expansion of -2.0 in n 1.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.398 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.398 * [taylor]: Taking taylor expansion of -2.0 in n 1.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.398 * [taylor]: Taking taylor expansion of PI in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.406 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.406 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (* n PI) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of PI in n 1.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.406 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (* n PI) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.407 * [taylor]: Taking taylor expansion of PI in n 1.424 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.424 * [taylor]: Taking taylor expansion of 2.0 in n 1.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.425 * [taylor]: Taking taylor expansion of 2.0 in n 1.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.433 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.434 * [taylor]: Taking taylor expansion of -2.0 in n 1.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.434 * [taylor]: Taking taylor expansion of -2.0 in n 1.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.442 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.444 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.444 * [taylor]: Taking taylor expansion of 1.0 in k 1.444 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.444 * [taylor]: Taking taylor expansion of k in k 1.445 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.445 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.445 * [taylor]: Taking taylor expansion of 0.5 in k 1.445 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.445 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.445 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.445 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.445 * [taylor]: Taking taylor expansion of 1.0 in k 1.445 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.445 * [taylor]: Taking taylor expansion of 2.0 in k 1.447 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.447 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.447 * [taylor]: Taking taylor expansion of 1.0 in k 1.447 * [taylor]: Taking taylor expansion of (log n) in k 1.447 * [taylor]: Taking taylor expansion of n in k 1.447 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.447 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.447 * [taylor]: Taking taylor expansion of 1.0 in k 1.447 * [taylor]: Taking taylor expansion of (log PI) in k 1.447 * [taylor]: Taking taylor expansion of PI in k 1.453 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.453 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.453 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.453 * [taylor]: Taking taylor expansion of 0.5 in k 1.453 * [taylor]: Taking taylor expansion of k in k 1.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.453 * [taylor]: Taking taylor expansion of 2.0 in k 1.453 * [taylor]: Taking taylor expansion of (* n PI) in k 1.453 * [taylor]: Taking taylor expansion of n in k 1.453 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.456 * [taylor]: Taking taylor expansion of 1.0 in n 1.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.456 * [taylor]: Taking taylor expansion of k in n 1.456 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.456 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.456 * [taylor]: Taking taylor expansion of 0.5 in n 1.456 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.456 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.456 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.456 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.456 * [taylor]: Taking taylor expansion of 1.0 in n 1.456 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.456 * [taylor]: Taking taylor expansion of 2.0 in n 1.458 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.458 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.458 * [taylor]: Taking taylor expansion of 1.0 in n 1.458 * [taylor]: Taking taylor expansion of (log n) in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.459 * [taylor]: Taking taylor expansion of 1.0 in n 1.459 * [taylor]: Taking taylor expansion of (log PI) in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.464 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.464 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.464 * [taylor]: Taking taylor expansion of 0.5 in n 1.464 * [taylor]: Taking taylor expansion of k in n 1.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.464 * [taylor]: Taking taylor expansion of 2.0 in n 1.464 * [taylor]: Taking taylor expansion of (* n PI) in n 1.464 * [taylor]: Taking taylor expansion of n in n 1.464 * [taylor]: Taking taylor expansion of PI in n 1.470 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.470 * [taylor]: Taking taylor expansion of 1.0 in n 1.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.470 * [taylor]: Taking taylor expansion of k in n 1.470 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.471 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.471 * [taylor]: Taking taylor expansion of 0.5 in n 1.471 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.471 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.471 * [taylor]: Taking taylor expansion of 1.0 in n 1.471 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.471 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (log n) in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.473 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.473 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (log PI) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.479 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.479 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.479 * [taylor]: Taking taylor expansion of 0.5 in n 1.479 * [taylor]: Taking taylor expansion of k in n 1.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.479 * [taylor]: Taking taylor expansion of (* n PI) in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of PI in n 1.489 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.489 * [taylor]: Taking taylor expansion of 1.0 in k 1.489 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.489 * [taylor]: Taking taylor expansion of k in k 1.491 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.491 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.491 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.491 * [taylor]: Taking taylor expansion of 0.5 in k 1.491 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.491 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.491 * [taylor]: Taking taylor expansion of 1.0 in k 1.491 * [taylor]: Taking taylor expansion of (log PI) in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.493 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.493 * [taylor]: Taking taylor expansion of 1.0 in k 1.493 * [taylor]: Taking taylor expansion of (log n) in k 1.493 * [taylor]: Taking taylor expansion of n in k 1.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.493 * [taylor]: Taking taylor expansion of 1.0 in k 1.493 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.493 * [taylor]: Taking taylor expansion of 2.0 in k 1.499 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.499 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.499 * [taylor]: Taking taylor expansion of 0.5 in k 1.499 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.499 * [taylor]: Taking taylor expansion of k in k 1.499 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.499 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.499 * [taylor]: Taking taylor expansion of 2.0 in k 1.499 * [taylor]: Taking taylor expansion of PI in k 1.500 * [taylor]: Taking taylor expansion of (log n) in k 1.500 * [taylor]: Taking taylor expansion of n in k 1.536 * [taylor]: Taking taylor expansion of 0 in k 1.587 * [taylor]: Taking taylor expansion of 0 in k 1.692 * [taylor]: Taking taylor expansion of 0 in k 1.810 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.810 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.810 * [taylor]: Taking taylor expansion of k in k 1.812 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.812 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.812 * [taylor]: Taking taylor expansion of 0.5 in k 1.812 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.812 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.812 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.812 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.812 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.812 * [taylor]: Taking taylor expansion of 1.0 in k 1.812 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.812 * [taylor]: Taking taylor expansion of 2.0 in k 1.813 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.814 * [taylor]: Taking taylor expansion of (log PI) in k 1.814 * [taylor]: Taking taylor expansion of PI in k 1.815 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (log n) in k 1.816 * [taylor]: Taking taylor expansion of n in k 1.822 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.822 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.822 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.822 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.822 * [taylor]: Taking taylor expansion of 0.5 in k 1.822 * [taylor]: Taking taylor expansion of k in k 1.822 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.823 * [taylor]: Taking taylor expansion of 2.0 in k 1.823 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.823 * [taylor]: Taking taylor expansion of PI in k 1.823 * [taylor]: Taking taylor expansion of n in k 1.823 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.823 * [taylor]: Taking taylor expansion of 1.0 in n 1.823 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.823 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.823 * [taylor]: Taking taylor expansion of k in n 1.823 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.823 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.823 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.823 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.823 * [taylor]: Taking taylor expansion of 0.5 in n 1.823 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.823 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.823 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.823 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.823 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.823 * [taylor]: Taking taylor expansion of 1.0 in n 1.823 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.823 * [taylor]: Taking taylor expansion of 2.0 in n 1.825 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.825 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.825 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.825 * [taylor]: Taking taylor expansion of 1.0 in n 1.825 * [taylor]: Taking taylor expansion of (log PI) in n 1.825 * [taylor]: Taking taylor expansion of PI in n 1.827 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.827 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.827 * [taylor]: Taking taylor expansion of 1.0 in n 1.827 * [taylor]: Taking taylor expansion of (log n) in n 1.827 * [taylor]: Taking taylor expansion of n in n 1.834 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.834 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.834 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.834 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.834 * [taylor]: Taking taylor expansion of 0.5 in n 1.834 * [taylor]: Taking taylor expansion of k in n 1.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.834 * [taylor]: Taking taylor expansion of 2.0 in n 1.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.834 * [taylor]: Taking taylor expansion of PI in n 1.834 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.839 * [taylor]: Taking taylor expansion of 1.0 in n 1.839 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.839 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.839 * [taylor]: Taking taylor expansion of k in n 1.839 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.839 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.839 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.839 * [taylor]: Taking taylor expansion of 0.5 in n 1.839 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.839 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.839 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.839 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.839 * [taylor]: Taking taylor expansion of 1.0 in n 1.839 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.839 * [taylor]: Taking taylor expansion of 2.0 in n 1.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.841 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [taylor]: Taking taylor expansion of (log PI) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [taylor]: Taking taylor expansion of (log n) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.850 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.850 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.850 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.850 * [taylor]: Taking taylor expansion of 0.5 in n 1.850 * [taylor]: Taking taylor expansion of k in n 1.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.850 * [taylor]: Taking taylor expansion of 2.0 in n 1.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.850 * [taylor]: Taking taylor expansion of PI in n 1.850 * [taylor]: Taking taylor expansion of n in n 1.866 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.867 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.868 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.868 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.868 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.868 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.868 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (log PI) in k 1.868 * [taylor]: Taking taylor expansion of PI in k 1.870 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.870 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.870 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.870 * [taylor]: Taking taylor expansion of 1.0 in k 1.870 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.870 * [taylor]: Taking taylor expansion of 2.0 in k 1.872 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.872 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.872 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.872 * [taylor]: Taking taylor expansion of 1.0 in k 1.872 * [taylor]: Taking taylor expansion of (log n) in k 1.872 * [taylor]: Taking taylor expansion of n in k 1.879 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.879 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.879 * [taylor]: Taking taylor expansion of 0.5 in k 1.879 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.879 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.879 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.879 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.879 * [taylor]: Taking taylor expansion of 2.0 in k 1.879 * [taylor]: Taking taylor expansion of PI in k 1.880 * [taylor]: Taking taylor expansion of (log n) in k 1.880 * [taylor]: Taking taylor expansion of n in k 1.880 * [taylor]: Taking taylor expansion of k in k 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.975 * [taylor]: Taking taylor expansion of 0 in k 2.061 * [taylor]: Taking taylor expansion of 0 in k 2.112 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.112 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.112 * [taylor]: Taking taylor expansion of 1.0 in k 2.112 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.112 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.112 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.112 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.112 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.112 * [taylor]: Taking taylor expansion of -1 in k 2.112 * [taylor]: Taking taylor expansion of k in k 2.114 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.114 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.114 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.114 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.114 * [taylor]: Taking taylor expansion of -0.5 in k 2.114 * [taylor]: Taking taylor expansion of k in k 2.114 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.114 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.114 * [taylor]: Taking taylor expansion of -2.0 in k 2.114 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.114 * [taylor]: Taking taylor expansion of PI in k 2.114 * [taylor]: Taking taylor expansion of n in k 2.115 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.115 * [taylor]: Taking taylor expansion of 0.5 in k 2.115 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.115 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.115 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.115 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.115 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.115 * [taylor]: Taking taylor expansion of 1.0 in k 2.115 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.115 * [taylor]: Taking taylor expansion of -2.0 in k 2.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.117 * [taylor]: Taking taylor expansion of (log PI) in k 2.117 * [taylor]: Taking taylor expansion of PI in k 2.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.119 * [taylor]: Taking taylor expansion of 1.0 in k 2.119 * [taylor]: Taking taylor expansion of (log n) in k 2.119 * [taylor]: Taking taylor expansion of n in k 2.132 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.132 * [taylor]: Taking taylor expansion of 1.0 in n 2.132 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.132 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.132 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.133 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.133 * [taylor]: Taking taylor expansion of -1 in n 2.133 * [taylor]: Taking taylor expansion of k in n 2.133 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.133 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.133 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.133 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.133 * [taylor]: Taking taylor expansion of -0.5 in n 2.133 * [taylor]: Taking taylor expansion of k in n 2.133 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.133 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.133 * [taylor]: Taking taylor expansion of -2.0 in n 2.133 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.133 * [taylor]: Taking taylor expansion of PI in n 2.133 * [taylor]: Taking taylor expansion of n in n 2.138 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.138 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.138 * [taylor]: Taking taylor expansion of 0.5 in n 2.138 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.138 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.138 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.138 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.138 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.138 * [taylor]: Taking taylor expansion of 1.0 in n 2.138 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.138 * [taylor]: Taking taylor expansion of -2.0 in n 2.140 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.140 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.140 * [taylor]: Taking taylor expansion of 1.0 in n 2.140 * [taylor]: Taking taylor expansion of (log PI) in n 2.140 * [taylor]: Taking taylor expansion of PI in n 2.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.142 * [taylor]: Taking taylor expansion of 1.0 in n 2.142 * [taylor]: Taking taylor expansion of (log n) in n 2.142 * [taylor]: Taking taylor expansion of n in n 2.148 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.149 * [taylor]: Taking taylor expansion of 1.0 in n 2.149 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.149 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.149 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.149 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.149 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.149 * [taylor]: Taking taylor expansion of -1 in n 2.149 * [taylor]: Taking taylor expansion of k in n 2.149 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.149 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.149 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.149 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.149 * [taylor]: Taking taylor expansion of -0.5 in n 2.149 * [taylor]: Taking taylor expansion of k in n 2.149 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.149 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.149 * [taylor]: Taking taylor expansion of -2.0 in n 2.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.149 * [taylor]: Taking taylor expansion of PI in n 2.149 * [taylor]: Taking taylor expansion of n in n 2.154 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.154 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.154 * [taylor]: Taking taylor expansion of 0.5 in n 2.154 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.154 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.154 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.154 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.154 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.154 * [taylor]: Taking taylor expansion of 1.0 in n 2.154 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.154 * [taylor]: Taking taylor expansion of -2.0 in n 2.156 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.156 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.156 * [taylor]: Taking taylor expansion of 1.0 in n 2.156 * [taylor]: Taking taylor expansion of (log PI) in n 2.156 * [taylor]: Taking taylor expansion of PI in n 2.158 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.158 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.158 * [taylor]: Taking taylor expansion of 1.0 in n 2.158 * [taylor]: Taking taylor expansion of (log n) in n 2.158 * [taylor]: Taking taylor expansion of n in n 2.169 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.169 * [taylor]: Taking taylor expansion of 1.0 in k 2.169 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.169 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.169 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.169 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.169 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.169 * [taylor]: Taking taylor expansion of -0.5 in k 2.169 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.169 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.169 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.169 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.169 * [taylor]: Taking taylor expansion of -2.0 in k 2.169 * [taylor]: Taking taylor expansion of PI in k 2.170 * [taylor]: Taking taylor expansion of (log n) in k 2.170 * [taylor]: Taking taylor expansion of n in k 2.170 * [taylor]: Taking taylor expansion of k in k 2.173 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.173 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.173 * [taylor]: Taking taylor expansion of -1 in k 2.173 * [taylor]: Taking taylor expansion of k in k 2.176 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.176 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.176 * [taylor]: Taking taylor expansion of 0.5 in k 2.176 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.176 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.177 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.177 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.177 * [taylor]: Taking taylor expansion of 1.0 in k 2.177 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.177 * [taylor]: Taking taylor expansion of -2.0 in k 2.178 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.178 * [taylor]: Taking taylor expansion of 1.0 in k 2.178 * [taylor]: Taking taylor expansion of (log PI) in k 2.178 * [taylor]: Taking taylor expansion of PI in k 2.180 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.180 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.180 * [taylor]: Taking taylor expansion of 1.0 in k 2.180 * [taylor]: Taking taylor expansion of (log n) in k 2.180 * [taylor]: Taking taylor expansion of n in k 2.222 * [taylor]: Taking taylor expansion of 0 in k 2.281 * [taylor]: Taking taylor expansion of 0 in k 2.333 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.334 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.334 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.334 * [taylor]: Taking taylor expansion of 0.5 in n 2.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.334 * [taylor]: Taking taylor expansion of 2.0 in n 2.334 * [taylor]: Taking taylor expansion of (* n PI) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of PI in n 2.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.339 * [taylor]: Taking taylor expansion of 0.5 in n 2.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.339 * [taylor]: Taking taylor expansion of 2.0 in n 2.339 * [taylor]: Taking taylor expansion of (* n PI) in n 2.339 * [taylor]: Taking taylor expansion of n in n 2.339 * [taylor]: Taking taylor expansion of PI in n 2.422 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.422 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.422 * [taylor]: Taking taylor expansion of 0.5 in n 2.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.426 * [taylor]: Taking taylor expansion of 0.5 in n 2.426 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.426 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.426 * [taylor]: Taking taylor expansion of 2.0 in n 2.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.426 * [taylor]: Taking taylor expansion of PI in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.506 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.506 * [taylor]: Taking taylor expansion of 0.5 in n 2.506 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.506 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.506 * [taylor]: Taking taylor expansion of -2.0 in n 2.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.506 * [taylor]: Taking taylor expansion of PI in n 2.506 * [taylor]: Taking taylor expansion of n in n 2.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.509 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.509 * [taylor]: Taking taylor expansion of 0.5 in n 2.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.509 * [taylor]: Taking taylor expansion of -2.0 in n 2.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.509 * [taylor]: Taking taylor expansion of PI in n 2.510 * [taylor]: Taking taylor expansion of n in n 2.588 * * * [progress]: simplifying candidates 2.590 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 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(/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.690 * * * [progress]: adding candidates to table 2.914 * * [progress]: iteration 3 / 4 2.914 * * * [progress]: picking best candidate 2.939 * * * * [pick]: Picked # 2.939 * * * [progress]: localizing error 2.957 * * * [progress]: generating rewritten candidates 2.957 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.962 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.967 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.971 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.010 * * * [progress]: generating series expansions 3.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.011 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.011 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.011 * [taylor]: Taking taylor expansion of 2.0 in n 3.011 * [taylor]: Taking taylor expansion of (* n PI) in n 3.011 * [taylor]: Taking taylor expansion of n in n 3.011 * [taylor]: Taking taylor expansion of PI in n 3.011 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.011 * [taylor]: Taking taylor expansion of 2.0 in n 3.011 * [taylor]: Taking taylor expansion of (* n PI) in n 3.011 * [taylor]: Taking taylor expansion of n in n 3.011 * [taylor]: Taking taylor expansion of PI in n 3.023 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.023 * [taylor]: Taking taylor expansion of 2.0 in n 3.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.023 * [taylor]: Taking taylor expansion of PI in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.023 * [taylor]: Taking taylor expansion of 2.0 in n 3.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.024 * [taylor]: Taking taylor expansion of PI in n 3.024 * [taylor]: Taking taylor expansion of n in n 3.032 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.032 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.032 * [taylor]: Taking taylor expansion of -2.0 in n 3.032 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.032 * [taylor]: Taking taylor expansion of PI in n 3.032 * [taylor]: Taking taylor expansion of n in n 3.033 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.033 * [taylor]: Taking taylor expansion of -2.0 in n 3.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.033 * [taylor]: Taking taylor expansion of PI in n 3.033 * [taylor]: Taking taylor expansion of n in n 3.041 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.041 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.041 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.041 * [taylor]: Taking taylor expansion of 2.0 in n 3.042 * [taylor]: Taking taylor expansion of (* n PI) in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.042 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.042 * [taylor]: Taking taylor expansion of 2.0 in n 3.042 * [taylor]: Taking taylor expansion of (* n PI) in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.054 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.054 * [taylor]: Taking taylor expansion of 2.0 in n 3.054 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.054 * [taylor]: Taking taylor expansion of PI in n 3.054 * [taylor]: Taking taylor expansion of n in n 3.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.054 * [taylor]: Taking taylor expansion of 2.0 in n 3.054 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.054 * [taylor]: Taking taylor expansion of PI in n 3.054 * [taylor]: Taking taylor expansion of n in n 3.069 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.069 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.069 * [taylor]: Taking taylor expansion of -2.0 in n 3.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.069 * [taylor]: Taking taylor expansion of PI in n 3.069 * [taylor]: Taking taylor expansion of n in n 3.070 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.070 * [taylor]: Taking taylor expansion of -2.0 in n 3.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.070 * [taylor]: Taking taylor expansion of PI in n 3.070 * [taylor]: Taking taylor expansion of n in n 3.079 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.079 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.079 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.079 * [taylor]: Taking taylor expansion of 1.0 in k 3.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.079 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.079 * [taylor]: Taking taylor expansion of k in k 3.080 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.080 * [taylor]: Taking taylor expansion of 1.0 in k 3.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.080 * [taylor]: Taking taylor expansion of k in k 3.091 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.092 * [taylor]: Taking taylor expansion of 1.0 in k 3.092 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.092 * [taylor]: Taking taylor expansion of k in k 3.093 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.093 * [taylor]: Taking taylor expansion of 1.0 in k 3.093 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.093 * [taylor]: Taking taylor expansion of k in k 3.103 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.103 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.103 * [taylor]: Taking taylor expansion of 1.0 in k 3.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.103 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.103 * [taylor]: Taking taylor expansion of -1 in k 3.103 * [taylor]: Taking taylor expansion of k in k 3.104 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.104 * [taylor]: Taking taylor expansion of 1.0 in k 3.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.104 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.104 * [taylor]: Taking taylor expansion of -1 in k 3.104 * [taylor]: Taking taylor expansion of k in k 3.116 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.117 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 3.117 * [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 3.117 * [taylor]: Taking taylor expansion of 1.0 in n 3.117 * [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 3.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.117 * [taylor]: Taking taylor expansion of k in n 3.117 * [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 3.117 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.118 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.118 * [taylor]: Taking taylor expansion of 0.5 in n 3.118 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.118 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.118 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.118 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.118 * [taylor]: Taking taylor expansion of 1.0 in n 3.118 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.118 * [taylor]: Taking taylor expansion of 2.0 in n 3.119 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.119 * [taylor]: Taking taylor expansion of 1.0 in n 3.119 * [taylor]: Taking taylor expansion of (log n) in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.120 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.120 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.120 * [taylor]: Taking taylor expansion of 1.0 in n 3.120 * [taylor]: Taking taylor expansion of (log PI) in n 3.120 * [taylor]: Taking taylor expansion of PI in n 3.125 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.125 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.126 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.126 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.126 * [taylor]: Taking taylor expansion of 0.5 in n 3.126 * [taylor]: Taking taylor expansion of k in n 3.126 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.126 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.126 * [taylor]: Taking taylor expansion of 2.0 in n 3.126 * [taylor]: Taking taylor expansion of (* n PI) in n 3.126 * [taylor]: Taking taylor expansion of n in n 3.126 * [taylor]: Taking taylor expansion of PI in n 3.131 * [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 3.132 * [taylor]: Taking taylor expansion of 1.0 in k 3.132 * [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 3.132 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.132 * [taylor]: Taking taylor expansion of k in k 3.133 * [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 3.133 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.133 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.133 * [taylor]: Taking taylor expansion of 0.5 in k 3.133 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.133 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.133 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.133 * [taylor]: Taking taylor expansion of 1.0 in k 3.133 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.133 * [taylor]: Taking taylor expansion of 2.0 in k 3.135 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.135 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.135 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.135 * [taylor]: Taking taylor expansion of 1.0 in k 3.135 * [taylor]: Taking taylor expansion of (log n) in k 3.135 * [taylor]: Taking taylor expansion of n in k 3.135 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.135 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.135 * [taylor]: Taking taylor expansion of 1.0 in k 3.135 * [taylor]: Taking taylor expansion of (log PI) in k 3.135 * [taylor]: Taking taylor expansion of PI in k 3.141 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.141 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.141 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.141 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.141 * [taylor]: Taking taylor expansion of 0.5 in k 3.141 * [taylor]: Taking taylor expansion of k in k 3.141 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.141 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.141 * [taylor]: Taking taylor expansion of 2.0 in k 3.141 * [taylor]: Taking taylor expansion of (* n PI) in k 3.141 * [taylor]: Taking taylor expansion of n in k 3.141 * [taylor]: Taking taylor expansion of PI in k 3.144 * [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 3.144 * [taylor]: Taking taylor expansion of 1.0 in k 3.144 * [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 3.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.144 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.144 * [taylor]: Taking taylor expansion of k in k 3.145 * [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 3.145 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.145 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.145 * [taylor]: Taking taylor expansion of 0.5 in k 3.145 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.145 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.146 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.146 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.146 * [taylor]: Taking taylor expansion of 1.0 in k 3.146 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.146 * [taylor]: Taking taylor expansion of 2.0 in k 3.147 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.147 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.147 * [taylor]: Taking taylor expansion of 1.0 in k 3.147 * [taylor]: Taking taylor expansion of (log n) in k 3.147 * [taylor]: Taking taylor expansion of n in k 3.148 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.148 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.148 * [taylor]: Taking taylor expansion of 1.0 in k 3.148 * [taylor]: Taking taylor expansion of (log PI) in k 3.148 * [taylor]: Taking taylor expansion of PI in k 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.159 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.159 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.159 * [taylor]: Taking taylor expansion of 0.5 in k 3.159 * [taylor]: Taking taylor expansion of k in k 3.159 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.159 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.159 * [taylor]: Taking taylor expansion of 2.0 in k 3.159 * [taylor]: Taking taylor expansion of (* n PI) in k 3.159 * [taylor]: Taking taylor expansion of n in k 3.159 * [taylor]: Taking taylor expansion of PI in k 3.163 * [taylor]: Taking taylor expansion of 0 in n 3.178 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.178 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.178 * [taylor]: Taking taylor expansion of +nan.0 in n 3.178 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.178 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.178 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.178 * [taylor]: Taking taylor expansion of 0.5 in n 3.178 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.178 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.178 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.178 * [taylor]: Taking taylor expansion of 1.0 in n 3.178 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.178 * [taylor]: Taking taylor expansion of 2.0 in n 3.180 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.180 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.180 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.180 * [taylor]: Taking taylor expansion of 1.0 in n 3.180 * [taylor]: Taking taylor expansion of (log n) in n 3.180 * [taylor]: Taking taylor expansion of n in n 3.181 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.181 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.181 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.181 * [taylor]: Taking taylor expansion of 1.0 in n 3.181 * [taylor]: Taking taylor expansion of (log PI) in n 3.181 * [taylor]: Taking taylor expansion of PI in n 3.217 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.217 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.217 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.217 * [taylor]: Taking taylor expansion of +nan.0 in n 3.217 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.217 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.217 * [taylor]: Taking taylor expansion of 0.5 in n 3.217 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.217 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.217 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.217 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.217 * [taylor]: Taking taylor expansion of 1.0 in n 3.217 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.217 * [taylor]: Taking taylor expansion of 2.0 in n 3.219 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.219 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.219 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.219 * [taylor]: Taking taylor expansion of 1.0 in n 3.219 * [taylor]: Taking taylor expansion of (log n) in n 3.219 * [taylor]: Taking taylor expansion of n in n 3.220 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.220 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.220 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.220 * [taylor]: Taking taylor expansion of 1.0 in n 3.220 * [taylor]: Taking taylor expansion of (log PI) in n 3.220 * [taylor]: Taking taylor expansion of PI in n 3.225 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.225 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.225 * [taylor]: Taking taylor expansion of +nan.0 in n 3.225 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.225 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.225 * [taylor]: Taking taylor expansion of 0.5 in n 3.225 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.225 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.225 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.225 * [taylor]: Taking taylor expansion of 1.0 in n 3.225 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.225 * [taylor]: Taking taylor expansion of 2.0 in n 3.227 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.227 * [taylor]: Taking taylor expansion of 1.0 in n 3.227 * [taylor]: Taking taylor expansion of (log PI) in n 3.227 * [taylor]: Taking taylor expansion of PI in n 3.229 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.229 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [taylor]: Taking taylor expansion of (log n) in n 3.229 * [taylor]: Taking taylor expansion of n in n 3.234 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.234 * [taylor]: Taking taylor expansion of 2.0 in n 3.234 * [taylor]: Taking taylor expansion of (* n PI) in n 3.234 * [taylor]: Taking taylor expansion of n in n 3.234 * [taylor]: Taking taylor expansion of PI in n 3.313 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 3.313 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.313 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.314 * [taylor]: Taking taylor expansion of +nan.0 in n 3.314 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.314 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.314 * [taylor]: Taking taylor expansion of 0.5 in n 3.314 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.314 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.314 * [taylor]: Taking taylor expansion of 1.0 in n 3.314 * [taylor]: Taking taylor expansion of (log PI) in n 3.314 * [taylor]: Taking taylor expansion of PI in n 3.316 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.316 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.316 * [taylor]: Taking taylor expansion of 1.0 in n 3.316 * [taylor]: Taking taylor expansion of (log n) in n 3.316 * [taylor]: Taking taylor expansion of n in n 3.316 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.316 * [taylor]: Taking taylor expansion of 1.0 in n 3.316 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.316 * [taylor]: Taking taylor expansion of 2.0 in n 3.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.322 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 3.322 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 3.322 * [taylor]: Taking taylor expansion of +nan.0 in n 3.322 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 3.322 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.322 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.322 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.322 * [taylor]: Taking taylor expansion of 0.5 in n 3.322 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.322 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.322 * [taylor]: Taking taylor expansion of 1.0 in n 3.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.322 * [taylor]: Taking taylor expansion of 2.0 in n 3.324 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.324 * [taylor]: Taking taylor expansion of 1.0 in n 3.324 * [taylor]: Taking taylor expansion of (log PI) in n 3.324 * [taylor]: Taking taylor expansion of PI in n 3.325 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.326 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.326 * [taylor]: Taking taylor expansion of 1.0 in n 3.326 * [taylor]: Taking taylor expansion of (log n) in n 3.326 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (* n PI) in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of PI in n 3.339 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 3.339 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.339 * [taylor]: Taking taylor expansion of +nan.0 in n 3.339 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.339 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.339 * [taylor]: Taking taylor expansion of 0.5 in n 3.339 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.339 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.339 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.339 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.339 * [taylor]: Taking taylor expansion of 1.0 in n 3.339 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.339 * [taylor]: Taking taylor expansion of 2.0 in n 3.341 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.341 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.341 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.341 * [taylor]: Taking taylor expansion of 1.0 in n 3.341 * [taylor]: Taking taylor expansion of (log PI) in n 3.341 * [taylor]: Taking taylor expansion of PI in n 3.343 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.343 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.343 * [taylor]: Taking taylor expansion of 1.0 in n 3.343 * [taylor]: Taking taylor expansion of (log n) in n 3.343 * [taylor]: Taking taylor expansion of n in n 3.347 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.347 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.347 * [taylor]: Taking taylor expansion of 2.0 in n 3.347 * [taylor]: Taking taylor expansion of (* n PI) in n 3.347 * [taylor]: Taking taylor expansion of n in n 3.347 * [taylor]: Taking taylor expansion of PI in n 3.428 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 3.428 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.428 * [taylor]: Taking taylor expansion of 1.0 in n 3.428 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.428 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.428 * [taylor]: Taking taylor expansion of k in n 3.428 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.428 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.428 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.428 * [taylor]: Taking taylor expansion of 0.5 in n 3.428 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.428 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.428 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.428 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.428 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.428 * [taylor]: Taking taylor expansion of 1.0 in n 3.428 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.428 * [taylor]: Taking taylor expansion of 2.0 in n 3.430 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.430 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.430 * [taylor]: Taking taylor expansion of 1.0 in n 3.430 * [taylor]: Taking taylor expansion of (log PI) in n 3.430 * [taylor]: Taking taylor expansion of PI in n 3.432 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.432 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (log n) in n 3.432 * [taylor]: Taking taylor expansion of n in n 3.439 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.439 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.439 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.439 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.439 * [taylor]: Taking taylor expansion of 0.5 in n 3.439 * [taylor]: Taking taylor expansion of k in n 3.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.440 * [taylor]: Taking taylor expansion of 2.0 in n 3.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.440 * [taylor]: Taking taylor expansion of PI in n 3.440 * [taylor]: Taking taylor expansion of n in n 3.444 * [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 3.444 * [taylor]: Taking taylor expansion of 1.0 in k 3.444 * [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 3.444 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.444 * [taylor]: Taking taylor expansion of k in k 3.445 * [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 3.445 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.445 * [taylor]: Taking taylor expansion of 0.5 in k 3.445 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.445 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.445 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.445 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.445 * [taylor]: Taking taylor expansion of 1.0 in k 3.445 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.445 * [taylor]: Taking taylor expansion of 2.0 in k 3.447 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.447 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (log PI) in k 3.447 * [taylor]: Taking taylor expansion of PI in k 3.449 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.449 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.449 * [taylor]: Taking taylor expansion of 1.0 in k 3.449 * [taylor]: Taking taylor expansion of (log n) in k 3.449 * [taylor]: Taking taylor expansion of n in k 3.455 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.455 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.455 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.455 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.455 * [taylor]: Taking taylor expansion of 0.5 in k 3.455 * [taylor]: Taking taylor expansion of k in k 3.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.456 * [taylor]: Taking taylor expansion of 2.0 in k 3.456 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.456 * [taylor]: Taking taylor expansion of PI in k 3.456 * [taylor]: Taking taylor expansion of n in k 3.456 * [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 3.456 * [taylor]: Taking taylor expansion of 1.0 in k 3.456 * [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 3.456 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.456 * [taylor]: Taking taylor expansion of k in k 3.457 * [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 3.457 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.457 * [taylor]: Taking taylor expansion of 0.5 in k 3.457 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.457 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.457 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.457 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.457 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.457 * [taylor]: Taking taylor expansion of 1.0 in k 3.457 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.457 * [taylor]: Taking taylor expansion of 2.0 in k 3.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.459 * [taylor]: Taking taylor expansion of 1.0 in k 3.459 * [taylor]: Taking taylor expansion of (log PI) in k 3.459 * [taylor]: Taking taylor expansion of PI in k 3.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.461 * [taylor]: Taking taylor expansion of 1.0 in k 3.461 * [taylor]: Taking taylor expansion of (log n) in k 3.461 * [taylor]: Taking taylor expansion of n in k 3.467 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.467 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.468 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.468 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.468 * [taylor]: Taking taylor expansion of 0.5 in k 3.468 * [taylor]: Taking taylor expansion of k in k 3.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.468 * [taylor]: Taking taylor expansion of 2.0 in k 3.468 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.468 * [taylor]: Taking taylor expansion of PI in k 3.468 * [taylor]: Taking taylor expansion of n in k 3.471 * [taylor]: Taking taylor expansion of 0 in n 3.489 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.489 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.489 * [taylor]: Taking taylor expansion of +nan.0 in n 3.489 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.489 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.489 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.489 * [taylor]: Taking taylor expansion of 0.5 in n 3.489 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.489 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.489 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.489 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.489 * [taylor]: Taking taylor expansion of 1.0 in n 3.489 * [taylor]: Taking taylor expansion of (log PI) in n 3.489 * [taylor]: Taking taylor expansion of PI in n 3.491 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.491 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.491 * [taylor]: Taking taylor expansion of 2.0 in n 3.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.493 * [taylor]: Taking taylor expansion of 1.0 in n 3.493 * [taylor]: Taking taylor expansion of (log n) in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.500 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.500 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.500 * [taylor]: Taking taylor expansion of 0.5 in n 3.500 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.500 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.500 * [taylor]: Taking taylor expansion of 2.0 in n 3.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.500 * [taylor]: Taking taylor expansion of PI in n 3.500 * [taylor]: Taking taylor expansion of n in n 3.501 * [taylor]: Taking taylor expansion of k in n 3.547 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.547 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.547 * [taylor]: Taking taylor expansion of +nan.0 in n 3.547 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.547 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.547 * [taylor]: Taking taylor expansion of 0.5 in n 3.547 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.547 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.547 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.547 * [taylor]: Taking taylor expansion of 1.0 in n 3.547 * [taylor]: Taking taylor expansion of (log PI) in n 3.547 * [taylor]: Taking taylor expansion of PI in n 3.549 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.549 * [taylor]: Taking taylor expansion of 1.0 in n 3.549 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.549 * [taylor]: Taking taylor expansion of 2.0 in n 3.551 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.551 * [taylor]: Taking taylor expansion of 1.0 in n 3.551 * [taylor]: Taking taylor expansion of (log n) in n 3.551 * [taylor]: Taking taylor expansion of n in n 3.558 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.558 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.558 * [taylor]: Taking taylor expansion of 0.5 in n 3.558 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.558 * [taylor]: Taking taylor expansion of 2.0 in n 3.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.558 * [taylor]: Taking taylor expansion of PI in n 3.558 * [taylor]: Taking taylor expansion of n in n 3.559 * [taylor]: Taking taylor expansion of k in n 3.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.637 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.637 * [taylor]: Taking taylor expansion of +nan.0 in n 3.637 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.637 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.637 * [taylor]: Taking taylor expansion of 0.5 in n 3.637 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.637 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.637 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.637 * [taylor]: Taking taylor expansion of 1.0 in n 3.637 * [taylor]: Taking taylor expansion of (log PI) in n 3.637 * [taylor]: Taking taylor expansion of PI in n 3.639 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.639 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.639 * [taylor]: Taking taylor expansion of 1.0 in n 3.639 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.639 * [taylor]: Taking taylor expansion of 2.0 in n 3.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.641 * [taylor]: Taking taylor expansion of 1.0 in n 3.641 * [taylor]: Taking taylor expansion of (log n) in n 3.641 * [taylor]: Taking taylor expansion of n in n 3.647 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.647 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.647 * [taylor]: Taking taylor expansion of 0.5 in n 3.647 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.648 * [taylor]: Taking taylor expansion of 2.0 in n 3.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.648 * [taylor]: Taking taylor expansion of PI in n 3.648 * [taylor]: Taking taylor expansion of n in n 3.649 * [taylor]: Taking taylor expansion of k in n 3.670 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.670 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.670 * [taylor]: Taking taylor expansion of 1.0 in n 3.670 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.670 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.670 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.670 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.670 * [taylor]: Taking taylor expansion of -1 in n 3.670 * [taylor]: Taking taylor expansion of k in n 3.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.670 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.670 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.670 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.670 * [taylor]: Taking taylor expansion of -0.5 in n 3.670 * [taylor]: Taking taylor expansion of k in n 3.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.670 * [taylor]: Taking taylor expansion of -2.0 in n 3.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.670 * [taylor]: Taking taylor expansion of PI in n 3.670 * [taylor]: Taking taylor expansion of n in n 3.675 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.675 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.675 * [taylor]: Taking taylor expansion of 0.5 in n 3.675 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.675 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.675 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.675 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.675 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.675 * [taylor]: Taking taylor expansion of 1.0 in n 3.675 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.676 * [taylor]: Taking taylor expansion of -2.0 in n 3.677 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.677 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.677 * [taylor]: Taking taylor expansion of 1.0 in n 3.677 * [taylor]: Taking taylor expansion of (log PI) in n 3.677 * [taylor]: Taking taylor expansion of PI in n 3.679 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.679 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.679 * [taylor]: Taking taylor expansion of 1.0 in n 3.679 * [taylor]: Taking taylor expansion of (log n) in n 3.679 * [taylor]: Taking taylor expansion of n in n 3.686 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.686 * [taylor]: Taking taylor expansion of 1.0 in k 3.686 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.686 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.686 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.686 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.686 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.686 * [taylor]: Taking taylor expansion of -1 in k 3.686 * [taylor]: Taking taylor expansion of k in k 3.688 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.688 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.688 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.688 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.688 * [taylor]: Taking taylor expansion of -0.5 in k 3.688 * [taylor]: Taking taylor expansion of k in k 3.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.688 * [taylor]: Taking taylor expansion of -2.0 in k 3.688 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.688 * [taylor]: Taking taylor expansion of PI in k 3.688 * [taylor]: Taking taylor expansion of n in k 3.696 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.696 * [taylor]: Taking taylor expansion of 0.5 in k 3.696 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.696 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.696 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.696 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.696 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.696 * [taylor]: Taking taylor expansion of 1.0 in k 3.696 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.696 * [taylor]: Taking taylor expansion of -2.0 in k 3.698 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.698 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.698 * [taylor]: Taking taylor expansion of 1.0 in k 3.698 * [taylor]: Taking taylor expansion of (log PI) in k 3.698 * [taylor]: Taking taylor expansion of PI in k 3.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.700 * [taylor]: Taking taylor expansion of 1.0 in k 3.700 * [taylor]: Taking taylor expansion of (log n) in k 3.700 * [taylor]: Taking taylor expansion of n in k 3.707 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.707 * [taylor]: Taking taylor expansion of 1.0 in k 3.707 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.707 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.707 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.707 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.707 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.707 * [taylor]: Taking taylor expansion of -1 in k 3.707 * [taylor]: Taking taylor expansion of k in k 3.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.708 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.708 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.708 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.708 * [taylor]: Taking taylor expansion of -0.5 in k 3.708 * [taylor]: Taking taylor expansion of k in k 3.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.709 * [taylor]: Taking taylor expansion of -2.0 in k 3.709 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.709 * [taylor]: Taking taylor expansion of PI in k 3.709 * [taylor]: Taking taylor expansion of n in k 3.710 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.710 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.710 * [taylor]: Taking taylor expansion of 0.5 in k 3.710 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.710 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.710 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.710 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.710 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.710 * [taylor]: Taking taylor expansion of 1.0 in k 3.710 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.710 * [taylor]: Taking taylor expansion of -2.0 in k 3.712 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.712 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.712 * [taylor]: Taking taylor expansion of 1.0 in k 3.712 * [taylor]: Taking taylor expansion of (log PI) in k 3.712 * [taylor]: Taking taylor expansion of PI in k 3.713 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.713 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.713 * [taylor]: Taking taylor expansion of 1.0 in k 3.713 * [taylor]: Taking taylor expansion of (log n) in k 3.714 * [taylor]: Taking taylor expansion of n in k 3.723 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.723 * [taylor]: Taking taylor expansion of +nan.0 in n 3.723 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.723 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.723 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.723 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.723 * [taylor]: Taking taylor expansion of -0.5 in n 3.723 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.723 * [taylor]: Taking taylor expansion of -2.0 in n 3.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.723 * [taylor]: Taking taylor expansion of PI in n 3.723 * [taylor]: Taking taylor expansion of n in n 3.724 * [taylor]: Taking taylor expansion of k in n 3.729 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.729 * [taylor]: Taking taylor expansion of 0.5 in n 3.729 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.729 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.729 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.729 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.729 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.729 * [taylor]: Taking taylor expansion of 1.0 in n 3.729 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.729 * [taylor]: Taking taylor expansion of -2.0 in n 3.731 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.731 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.731 * [taylor]: Taking taylor expansion of 1.0 in n 3.731 * [taylor]: Taking taylor expansion of (log PI) in n 3.731 * [taylor]: Taking taylor expansion of PI in n 3.733 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.733 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.733 * [taylor]: Taking taylor expansion of 1.0 in n 3.733 * [taylor]: Taking taylor expansion of (log n) in n 3.733 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.766 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.766 * [taylor]: Taking taylor expansion of +nan.0 in n 3.766 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.766 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.766 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.766 * [taylor]: Taking taylor expansion of -0.5 in n 3.766 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of -2.0 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.768 * [taylor]: Taking taylor expansion of k in n 3.772 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.772 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.772 * [taylor]: Taking taylor expansion of 0.5 in n 3.772 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.772 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.772 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.773 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.773 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.773 * [taylor]: Taking taylor expansion of 1.0 in n 3.773 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.773 * [taylor]: Taking taylor expansion of -2.0 in n 3.774 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.774 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.774 * [taylor]: Taking taylor expansion of 1.0 in n 3.774 * [taylor]: Taking taylor expansion of (log PI) in n 3.774 * [taylor]: Taking taylor expansion of PI in n 3.776 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.776 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.776 * [taylor]: Taking taylor expansion of 1.0 in n 3.776 * [taylor]: Taking taylor expansion of (log n) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.851 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.851 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.851 * [taylor]: Taking taylor expansion of +nan.0 in n 3.851 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.851 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.851 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.851 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.851 * [taylor]: Taking taylor expansion of -0.5 in n 3.851 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.851 * [taylor]: Taking taylor expansion of -2.0 in n 3.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.851 * [taylor]: Taking taylor expansion of PI in n 3.851 * [taylor]: Taking taylor expansion of n in n 3.852 * [taylor]: Taking taylor expansion of k in n 3.857 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.857 * [taylor]: Taking taylor expansion of 0.5 in n 3.857 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.857 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.857 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.857 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.857 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.857 * [taylor]: Taking taylor expansion of 1.0 in n 3.857 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.857 * [taylor]: Taking taylor expansion of -2.0 in n 3.859 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.859 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.859 * [taylor]: Taking taylor expansion of 1.0 in n 3.859 * [taylor]: Taking taylor expansion of (log PI) in n 3.859 * [taylor]: Taking taylor expansion of PI in n 3.861 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.861 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.861 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.861 * [taylor]: Taking taylor expansion of 1.0 in n 3.861 * [taylor]: Taking taylor expansion of (log n) in n 3.861 * [taylor]: Taking taylor expansion of n in n 3.891 * * * [progress]: simplifying candidates 3.894 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (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) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 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(* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1)) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1)) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ 1 (pow (* 2.0 PI) (/ k 2.0)))) 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(pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) 3.910 * * [simplify]: iteration 0 : 1271 enodes (cost 2638 ) 3.930 * * [simplify]: iteration 1 : 5001 enodes (cost 2478 ) 3.942 * [simplify]: Simplified to: (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 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1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ k 2.0))) (/ (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 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)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 3.943 * * * [progress]: adding candidates to table 4.390 * * [progress]: iteration 4 / 4 4.390 * * * [progress]: picking best candidate 4.416 * * * * [pick]: Picked # 4.416 * * * [progress]: localizing error 4.437 * * * [progress]: generating rewritten candidates 4.437 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.454 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 4.459 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 4.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 4.472 * * * [progress]: generating series expansions 4.472 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.475 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 4.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 4.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.475 * [taylor]: Taking taylor expansion of k in k 4.477 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.477 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.477 * [taylor]: Taking taylor expansion of 0.5 in k 4.477 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.477 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.477 * [taylor]: Taking taylor expansion of 1.0 in k 4.477 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.477 * [taylor]: Taking taylor expansion of 2.0 in k 4.479 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.479 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.479 * [taylor]: Taking taylor expansion of 1.0 in k 4.479 * [taylor]: Taking taylor expansion of (log n) in k 4.479 * [taylor]: Taking taylor expansion of n in k 4.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.479 * [taylor]: Taking taylor expansion of 1.0 in k 4.479 * [taylor]: Taking taylor expansion of (log PI) in k 4.479 * [taylor]: Taking taylor expansion of PI in k 4.490 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.490 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.490 * [taylor]: Taking taylor expansion of 1.0 in k 4.491 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.491 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.491 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.491 * [taylor]: Taking taylor expansion of 0.5 in k 4.491 * [taylor]: Taking taylor expansion of k in k 4.491 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.491 * [taylor]: Taking taylor expansion of 2.0 in k 4.491 * [taylor]: Taking taylor expansion of (* n PI) in k 4.491 * [taylor]: Taking taylor expansion of n in k 4.491 * [taylor]: Taking taylor expansion of PI in k 4.496 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.496 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.496 * [taylor]: Taking taylor expansion of k in n 4.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.496 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.496 * [taylor]: Taking taylor expansion of 0.5 in n 4.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.496 * [taylor]: Taking taylor expansion of 1.0 in n 4.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.497 * [taylor]: Taking taylor expansion of 2.0 in n 4.498 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.498 * [taylor]: Taking taylor expansion of 1.0 in n 4.498 * [taylor]: Taking taylor expansion of (log n) in n 4.498 * [taylor]: Taking taylor expansion of n in n 4.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.499 * [taylor]: Taking taylor expansion of 1.0 in n 4.499 * [taylor]: Taking taylor expansion of (log PI) in n 4.499 * [taylor]: Taking taylor expansion of PI in n 4.504 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.504 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.504 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.504 * [taylor]: Taking taylor expansion of 1.0 in n 4.505 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.505 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.505 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.505 * [taylor]: Taking taylor expansion of 0.5 in n 4.505 * [taylor]: Taking taylor expansion of k in n 4.505 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.505 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.505 * [taylor]: Taking taylor expansion of 2.0 in n 4.505 * [taylor]: Taking taylor expansion of (* n PI) in n 4.505 * [taylor]: Taking taylor expansion of n in n 4.505 * [taylor]: Taking taylor expansion of PI in n 4.513 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.513 * [taylor]: Taking taylor expansion of k in n 4.513 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.513 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.513 * [taylor]: Taking taylor expansion of 0.5 in n 4.513 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.513 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.513 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.513 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.513 * [taylor]: Taking taylor expansion of 1.0 in n 4.513 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.513 * [taylor]: Taking taylor expansion of 2.0 in n 4.515 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.515 * [taylor]: Taking taylor expansion of 1.0 in n 4.515 * [taylor]: Taking taylor expansion of (log n) in n 4.515 * [taylor]: Taking taylor expansion of n in n 4.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [taylor]: Taking taylor expansion of (log PI) in n 4.516 * [taylor]: Taking taylor expansion of PI in n 4.521 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.521 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.521 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.521 * [taylor]: Taking taylor expansion of 1.0 in n 4.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.522 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.522 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.522 * [taylor]: Taking taylor expansion of 0.5 in n 4.522 * [taylor]: Taking taylor expansion of k in n 4.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.522 * [taylor]: Taking taylor expansion of 2.0 in n 4.522 * [taylor]: Taking taylor expansion of (* n PI) in n 4.522 * [taylor]: Taking taylor expansion of n in n 4.522 * [taylor]: Taking taylor expansion of PI in n 4.534 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.534 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.534 * [taylor]: Taking taylor expansion of k in k 4.535 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.535 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.535 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.535 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.535 * [taylor]: Taking taylor expansion of 1.0 in k 4.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.536 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.536 * [taylor]: Taking taylor expansion of 0.5 in k 4.536 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.536 * [taylor]: Taking taylor expansion of k in k 4.536 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.536 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.536 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.536 * [taylor]: Taking taylor expansion of 2.0 in k 4.536 * [taylor]: Taking taylor expansion of PI in k 4.537 * [taylor]: Taking taylor expansion of (log n) in k 4.537 * [taylor]: Taking taylor expansion of n in k 4.544 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.544 * [taylor]: Taking taylor expansion of 0.5 in k 4.545 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.545 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.545 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.545 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.545 * [taylor]: Taking taylor expansion of 1.0 in k 4.545 * [taylor]: Taking taylor expansion of (log PI) in k 4.545 * [taylor]: Taking taylor expansion of PI in k 4.546 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.547 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.547 * [taylor]: Taking taylor expansion of 1.0 in k 4.547 * [taylor]: Taking taylor expansion of (log n) in k 4.547 * [taylor]: Taking taylor expansion of n in k 4.547 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.547 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.547 * [taylor]: Taking taylor expansion of 1.0 in k 4.547 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.547 * [taylor]: Taking taylor expansion of 2.0 in k 4.584 * [taylor]: Taking taylor expansion of 0 in k 4.642 * [taylor]: Taking taylor expansion of 0 in k 4.761 * [taylor]: Taking taylor expansion of 0 in k 4.904 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 4.904 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.904 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.904 * [taylor]: Taking taylor expansion of k in k 4.905 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.905 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.905 * [taylor]: Taking taylor expansion of 0.5 in k 4.905 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.905 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.905 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.906 * [taylor]: Taking taylor expansion of 1.0 in k 4.906 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.906 * [taylor]: Taking taylor expansion of 2.0 in k 4.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.907 * [taylor]: Taking taylor expansion of 1.0 in k 4.907 * [taylor]: Taking taylor expansion of (log PI) in k 4.907 * [taylor]: Taking taylor expansion of PI in k 4.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.909 * [taylor]: Taking taylor expansion of 1.0 in k 4.909 * [taylor]: Taking taylor expansion of (log n) in k 4.909 * [taylor]: Taking taylor expansion of n in k 4.921 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.921 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.921 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.921 * [taylor]: Taking taylor expansion of 1.0 in k 4.922 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.922 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.922 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.922 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.922 * [taylor]: Taking taylor expansion of 0.5 in k 4.922 * [taylor]: Taking taylor expansion of k in k 4.922 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.922 * [taylor]: Taking taylor expansion of 2.0 in k 4.922 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.922 * [taylor]: Taking taylor expansion of PI in k 4.922 * [taylor]: Taking taylor expansion of n in k 4.924 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.924 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.924 * [taylor]: Taking taylor expansion of k in n 4.924 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.924 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.924 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.924 * [taylor]: Taking taylor expansion of 0.5 in n 4.924 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.924 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.924 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.924 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.924 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.924 * [taylor]: Taking taylor expansion of 1.0 in n 4.924 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.924 * [taylor]: Taking taylor expansion of 2.0 in n 4.926 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.926 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.926 * [taylor]: Taking taylor expansion of 1.0 in n 4.926 * [taylor]: Taking taylor expansion of (log PI) in n 4.926 * [taylor]: Taking taylor expansion of PI in n 4.928 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.928 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.928 * [taylor]: Taking taylor expansion of 1.0 in n 4.928 * [taylor]: Taking taylor expansion of (log n) in n 4.928 * [taylor]: Taking taylor expansion of n in n 4.935 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.935 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.935 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.935 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.936 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.936 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.936 * [taylor]: Taking taylor expansion of 0.5 in n 4.936 * [taylor]: Taking taylor expansion of k in n 4.936 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.936 * [taylor]: Taking taylor expansion of 2.0 in n 4.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.936 * [taylor]: Taking taylor expansion of PI in n 4.936 * [taylor]: Taking taylor expansion of n in n 4.941 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.942 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.942 * [taylor]: Taking taylor expansion of k in n 4.942 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.942 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.942 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.942 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.942 * [taylor]: Taking taylor expansion of 0.5 in n 4.942 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.942 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.942 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.942 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.942 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.942 * [taylor]: Taking taylor expansion of 1.0 in n 4.942 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.942 * [taylor]: Taking taylor expansion of 2.0 in n 4.944 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.944 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.944 * [taylor]: Taking taylor expansion of 1.0 in n 4.944 * [taylor]: Taking taylor expansion of (log PI) in n 4.944 * [taylor]: Taking taylor expansion of PI in n 4.945 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.945 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.946 * [taylor]: Taking taylor expansion of 1.0 in n 4.946 * [taylor]: Taking taylor expansion of (log n) in n 4.946 * [taylor]: Taking taylor expansion of n in n 4.953 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.953 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.953 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.953 * [taylor]: Taking taylor expansion of 1.0 in n 4.953 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.953 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.953 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.953 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.953 * [taylor]: Taking taylor expansion of 0.5 in n 4.953 * [taylor]: Taking taylor expansion of k in n 4.953 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.953 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.953 * [taylor]: Taking taylor expansion of 2.0 in n 4.954 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.954 * [taylor]: Taking taylor expansion of PI in n 4.954 * [taylor]: Taking taylor expansion of n in n 4.964 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 4.965 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.965 * [taylor]: Taking taylor expansion of k in k 4.966 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 4.966 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.966 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.966 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.966 * [taylor]: Taking taylor expansion of 0.5 in k 4.966 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.966 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.966 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.966 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.966 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.966 * [taylor]: Taking taylor expansion of 1.0 in k 4.966 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.966 * [taylor]: Taking taylor expansion of 2.0 in k 4.968 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.968 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.968 * [taylor]: Taking taylor expansion of 1.0 in k 4.968 * [taylor]: Taking taylor expansion of (log PI) in k 4.968 * [taylor]: Taking taylor expansion of PI in k 4.970 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.970 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.970 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.970 * [taylor]: Taking taylor expansion of 1.0 in k 4.970 * [taylor]: Taking taylor expansion of (log n) in k 4.970 * [taylor]: Taking taylor expansion of n in k 4.976 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.976 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.976 * [taylor]: Taking taylor expansion of 1.0 in k 4.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.977 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.977 * [taylor]: Taking taylor expansion of 0.5 in k 4.977 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.977 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.977 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.977 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.977 * [taylor]: Taking taylor expansion of 2.0 in k 4.977 * [taylor]: Taking taylor expansion of PI in k 4.978 * [taylor]: Taking taylor expansion of (log n) in k 4.978 * [taylor]: Taking taylor expansion of n in k 4.978 * [taylor]: Taking taylor expansion of k in k 5.019 * [taylor]: Taking taylor expansion of 0 in k 5.078 * [taylor]: Taking taylor expansion of 0 in k 5.162 * [taylor]: Taking taylor expansion of 0 in k 5.221 * [approximate]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.221 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.221 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.221 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.222 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.222 * [taylor]: Taking taylor expansion of 1.0 in k 5.222 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.222 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.222 * [taylor]: Taking taylor expansion of -1 in k 5.222 * [taylor]: Taking taylor expansion of k in k 5.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.224 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.224 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.224 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.224 * [taylor]: Taking taylor expansion of -0.5 in k 5.224 * [taylor]: Taking taylor expansion of k in k 5.224 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.224 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.224 * [taylor]: Taking taylor expansion of -2.0 in k 5.224 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.224 * [taylor]: Taking taylor expansion of PI in k 5.224 * [taylor]: Taking taylor expansion of n in k 5.226 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.226 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.227 * [taylor]: Taking taylor expansion of 0.5 in k 5.227 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.227 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.227 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.227 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.227 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.227 * [taylor]: Taking taylor expansion of 1.0 in k 5.227 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.227 * [taylor]: Taking taylor expansion of -2.0 in k 5.228 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.229 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.229 * [taylor]: Taking taylor expansion of 1.0 in k 5.229 * [taylor]: Taking taylor expansion of (log PI) in k 5.229 * [taylor]: Taking taylor expansion of PI in k 5.230 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.231 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.231 * [taylor]: Taking taylor expansion of 1.0 in k 5.231 * [taylor]: Taking taylor expansion of (log n) in k 5.231 * [taylor]: Taking taylor expansion of n in k 5.237 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.237 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.237 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.237 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.237 * [taylor]: Taking taylor expansion of 1.0 in n 5.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.238 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.238 * [taylor]: Taking taylor expansion of -1 in n 5.238 * [taylor]: Taking taylor expansion of k in n 5.238 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.238 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.238 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.238 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.238 * [taylor]: Taking taylor expansion of -0.5 in n 5.238 * [taylor]: Taking taylor expansion of k 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 5.245 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.245 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.245 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.245 * [taylor]: Taking taylor expansion of 0.5 in n 5.245 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.245 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.245 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.245 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.245 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.245 * [taylor]: Taking taylor expansion of 1.0 in n 5.245 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.245 * [taylor]: Taking taylor expansion of -2.0 in n 5.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.247 * [taylor]: Taking taylor expansion of 1.0 in n 5.247 * [taylor]: Taking taylor expansion of (log PI) in n 5.247 * [taylor]: Taking taylor expansion of PI in n 5.248 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.248 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.248 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.248 * [taylor]: Taking taylor expansion of 1.0 in n 5.249 * [taylor]: Taking taylor expansion of (log n) in n 5.249 * [taylor]: Taking taylor expansion of n in n 5.255 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.255 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.255 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.256 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.256 * [taylor]: Taking taylor expansion of 1.0 in n 5.256 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.256 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.256 * [taylor]: Taking taylor expansion of -1 in n 5.256 * [taylor]: Taking taylor expansion of k in n 5.256 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.256 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.257 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.257 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.257 * [taylor]: Taking taylor expansion of -0.5 in n 5.257 * [taylor]: Taking taylor expansion of k in n 5.257 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.257 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.257 * [taylor]: Taking taylor expansion of -2.0 in n 5.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.257 * [taylor]: Taking taylor expansion of PI in n 5.257 * [taylor]: Taking taylor expansion of n in n 5.269 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.269 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.269 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.269 * [taylor]: Taking taylor expansion of 0.5 in n 5.269 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.269 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.269 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.269 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.269 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.269 * [taylor]: Taking taylor expansion of 1.0 in n 5.269 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.269 * [taylor]: Taking taylor expansion of -2.0 in n 5.271 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.271 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.271 * [taylor]: Taking taylor expansion of 1.0 in n 5.271 * [taylor]: Taking taylor expansion of (log PI) in n 5.271 * [taylor]: Taking taylor expansion of PI in n 5.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.273 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.273 * [taylor]: Taking taylor expansion of 1.0 in n 5.273 * [taylor]: Taking taylor expansion of (log n) in n 5.273 * [taylor]: Taking taylor expansion of n in n 5.283 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 5.283 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.283 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.283 * [taylor]: Taking taylor expansion of 0.5 in k 5.283 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.283 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.283 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.283 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.283 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.283 * [taylor]: Taking taylor expansion of 1.0 in k 5.283 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.283 * [taylor]: Taking taylor expansion of -2.0 in k 5.285 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.285 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.285 * [taylor]: Taking taylor expansion of 1.0 in k 5.285 * [taylor]: Taking taylor expansion of (log PI) in k 5.285 * [taylor]: Taking taylor expansion of PI in k 5.286 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.286 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.286 * [taylor]: Taking taylor expansion of 1.0 in k 5.287 * [taylor]: Taking taylor expansion of (log n) in k 5.287 * [taylor]: Taking taylor expansion of n in k 5.293 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.293 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.293 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.293 * [taylor]: Taking taylor expansion of 1.0 in k 5.294 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.294 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.294 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.294 * [taylor]: Taking taylor expansion of -0.5 in k 5.294 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.294 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.294 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.294 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.294 * [taylor]: Taking taylor expansion of -2.0 in k 5.294 * [taylor]: Taking taylor expansion of PI in k 5.295 * [taylor]: Taking taylor expansion of (log n) in k 5.295 * [taylor]: Taking taylor expansion of n in k 5.295 * [taylor]: Taking taylor expansion of k in k 5.298 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.298 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.298 * [taylor]: Taking taylor expansion of -1 in k 5.298 * [taylor]: Taking taylor expansion of k in k 5.332 * [taylor]: Taking taylor expansion of 0 in k 5.398 * [taylor]: Taking taylor expansion of 0 in k 5.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 5.451 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.451 * [taylor]: Taking taylor expansion of 2.0 in n 5.451 * [taylor]: Taking taylor expansion of (* n PI) in n 5.451 * [taylor]: Taking taylor expansion of n in n 5.451 * [taylor]: Taking taylor expansion of PI in n 5.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.452 * [taylor]: Taking taylor expansion of 2.0 in n 5.452 * [taylor]: Taking taylor expansion of (* n PI) in n 5.452 * [taylor]: Taking taylor expansion of n in n 5.452 * [taylor]: Taking taylor expansion of PI in n 5.464 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.464 * [taylor]: Taking taylor expansion of 2.0 in n 5.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.464 * [taylor]: Taking taylor expansion of PI in n 5.464 * [taylor]: Taking taylor expansion of n in n 5.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.464 * [taylor]: Taking taylor expansion of 2.0 in n 5.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.464 * [taylor]: Taking taylor expansion of PI in n 5.464 * [taylor]: Taking taylor expansion of n in n 5.473 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.473 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.473 * [taylor]: Taking taylor expansion of -2.0 in n 5.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.473 * [taylor]: Taking taylor expansion of PI in n 5.473 * [taylor]: Taking taylor expansion of n in n 5.473 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.473 * [taylor]: Taking taylor expansion of -2.0 in n 5.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.473 * [taylor]: Taking taylor expansion of PI in n 5.473 * [taylor]: Taking taylor expansion of n in n 5.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 5.482 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.482 * [taylor]: Taking taylor expansion of 2.0 in n 5.482 * [taylor]: Taking taylor expansion of (* n PI) in n 5.482 * [taylor]: Taking taylor expansion of n in n 5.482 * [taylor]: Taking taylor expansion of PI in n 5.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.482 * [taylor]: Taking taylor expansion of 2.0 in n 5.482 * [taylor]: Taking taylor expansion of (* n PI) in n 5.482 * [taylor]: Taking taylor expansion of n in n 5.482 * [taylor]: Taking taylor expansion of PI in n 5.494 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.494 * [taylor]: Taking taylor expansion of 2.0 in n 5.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.494 * [taylor]: Taking taylor expansion of PI in n 5.494 * [taylor]: Taking taylor expansion of n in n 5.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.495 * [taylor]: Taking taylor expansion of 2.0 in n 5.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.495 * [taylor]: Taking taylor expansion of PI in n 5.495 * [taylor]: Taking taylor expansion of n in n 5.504 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.504 * [taylor]: Taking taylor expansion of -2.0 in n 5.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.504 * [taylor]: Taking taylor expansion of PI in n 5.504 * [taylor]: Taking taylor expansion of n in n 5.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.504 * [taylor]: Taking taylor expansion of -2.0 in n 5.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.504 * [taylor]: Taking taylor expansion of PI in n 5.504 * [taylor]: Taking taylor expansion of n in n 5.513 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 5.513 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.513 * [taylor]: Taking taylor expansion of 2.0 in n 5.513 * [taylor]: Taking taylor expansion of (* n PI) in n 5.513 * [taylor]: Taking taylor expansion of n in n 5.513 * [taylor]: Taking taylor expansion of PI in n 5.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.513 * [taylor]: Taking taylor expansion of 2.0 in n 5.513 * [taylor]: Taking taylor expansion of (* n PI) in n 5.513 * [taylor]: Taking taylor expansion of n in n 5.513 * [taylor]: Taking taylor expansion of PI in n 5.532 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.532 * [taylor]: Taking taylor expansion of 2.0 in n 5.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.532 * [taylor]: Taking taylor expansion of PI in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.532 * [taylor]: Taking taylor expansion of 2.0 in n 5.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.532 * [taylor]: Taking taylor expansion of PI in n 5.532 * [taylor]: Taking taylor expansion of n in n 5.541 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.541 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.541 * [taylor]: Taking taylor expansion of -2.0 in n 5.541 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.541 * [taylor]: Taking taylor expansion of PI in n 5.541 * [taylor]: Taking taylor expansion of n in n 5.541 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.541 * [taylor]: Taking taylor expansion of -2.0 in n 5.541 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.542 * [taylor]: Taking taylor expansion of PI in n 5.542 * [taylor]: Taking taylor expansion of n in n 5.550 * * * [progress]: simplifying candidates 5.552 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (* 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 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ 1 1) (+ (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (log (* (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))))))) (exp (* (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))))))) (* (* (* (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)))))) (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))))) (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))))))) (* (cbrt (* (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))))))) (cbrt (* (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)))))))) (cbrt (* (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))))))) (* (* (* (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)))))) (* (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))))))) (* (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 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (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))))))) (sqrt (* (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))))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (* (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))))))) (sqrt (* (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)))))))) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (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 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt 1) (sqrt 1)) (* (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)))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* 1 1) (* (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)))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* 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(* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (pow k 2) (exp (* 0.5 (* k (- (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)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.564 * * [simplify]: iteration 0 : 641 enodes (cost 1639 ) 5.577 * * [simplify]: iteration 1 : 3302 enodes (cost 1386 ) 5.638 * * [simplify]: iteration 2 : 5001 enodes (cost 1325 ) 5.644 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 4) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 4) 2 (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 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(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))))) (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))))) (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))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 1 2 1 (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (fabs (cbrt (/ (* 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)))))) (pow (sqrt (sqrt (/ (* 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 (sqrt k)))) (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))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (pow (sqrt (sqrt (/ (* 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))))) (pow (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 4) (* (sqrt (cbrt (/ (* 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)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (sqrt (/ 1 (* (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)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (/ (* 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 (/ (* 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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (+ (+ (- (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* k (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (+ (* +nan.0 (* (* k (* (pow (sqrt 1.0) 2) (log n))) (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))) 1.0)) (- (* +nan.0 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (pow (sqrt 1.0) 2)) (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) (* (pow (sqrt 1.0) 2) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (- (* +nan.0 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 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 (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (- (* +nan.0 (* (* (pow k 2) (pow (sqrt 1.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ (pow (sqrt 1.0) 2) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (* (- +nan.0) (* (/ 1.0 (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) k)))) (+ (* +nan.0 (- (* (/ (pow (sqrt 1.0) 2) (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)) (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (pow k 2) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))) (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* k (exp (* 0.5 (* k (- (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)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.645 * * * [progress]: adding candidates to table 5.960 * [progress]: [Phase 3 of 3] Extracting. 5.960 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.963 * * * [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) 5.963 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 6.008 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 6.056 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 6.099 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.141 * * * [regime]: Found split indices: #