10.988 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.162 * * * [progress]: [2/2] Setting up program. 0.164 * [progress]: [Phase 2 of 3] Improving. 0.165 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.167 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.169 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.170 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.173 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.179 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.201 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.202 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.202 * * [progress]: iteration 1 / 4 0.202 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.227 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.239 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.259 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.259 * [taylor]: Taking taylor expansion of 1.0 in k 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.259 * [taylor]: Taking taylor expansion of k in k 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.260 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.260 * [taylor]: Taking taylor expansion of k in k 0.272 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.272 * [taylor]: Taking taylor expansion of 1.0 in k 0.272 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.272 * [taylor]: Taking taylor expansion of k in k 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.273 * [taylor]: Taking taylor expansion of 1.0 in k 0.273 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.273 * [taylor]: Taking taylor expansion of k in k 0.283 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.283 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.283 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.283 * [taylor]: Taking taylor expansion of -1 in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.285 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.285 * [taylor]: Taking taylor expansion of 1.0 in k 0.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.285 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.285 * [taylor]: Taking taylor expansion of -1 in k 0.285 * [taylor]: Taking taylor expansion of k in k 0.297 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.297 * [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 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.303 * [taylor]: Taking taylor expansion of 1.0 in k 0.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.303 * [taylor]: Taking taylor expansion of k in k 0.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.310 * [taylor]: Taking taylor expansion of 0.5 in k 0.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.310 * [taylor]: Taking taylor expansion of 1.0 in k 0.310 * [taylor]: Taking taylor expansion of k in k 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of (* n PI) in k 0.310 * [taylor]: Taking taylor expansion of n in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.311 * [taylor]: Taking taylor expansion of 1.0 in k 0.311 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.311 * [taylor]: Taking taylor expansion of k in k 0.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.313 * [taylor]: Taking taylor expansion of 0.5 in k 0.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [taylor]: Taking taylor expansion of k in k 0.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.313 * [taylor]: Taking taylor expansion of 2.0 in k 0.313 * [taylor]: Taking taylor expansion of (* n PI) in k 0.313 * [taylor]: Taking taylor expansion of n in k 0.313 * [taylor]: Taking taylor expansion of PI in k 0.314 * [taylor]: Taking taylor expansion of 0 in n 0.320 * [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 0.320 * [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 0.320 * [taylor]: Taking taylor expansion of +nan.0 in n 0.320 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.320 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log PI) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.322 * [taylor]: Taking taylor expansion of 1.0 in n 0.322 * [taylor]: Taking taylor expansion of (log n) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.322 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.322 * [taylor]: Taking taylor expansion of 1.0 in n 0.322 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.322 * [taylor]: Taking taylor expansion of 2.0 in n 0.342 * [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 0.342 * [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 0.342 * [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 0.342 * [taylor]: Taking taylor expansion of +nan.0 in n 0.342 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.342 * [taylor]: Taking taylor expansion of 0.5 in n 0.342 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.342 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.342 * [taylor]: Taking taylor expansion of (log PI) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.344 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (log n) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.350 * [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 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of +nan.0 in n 0.350 * [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 0.350 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.350 * [taylor]: Taking taylor expansion of 0.5 in n 0.350 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.350 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.350 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.350 * [taylor]: Taking taylor expansion of 1.0 in n 0.350 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.350 * [taylor]: Taking taylor expansion of 2.0 in n 0.352 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.352 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of (log PI) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (log n) in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.358 * [taylor]: Taking taylor expansion of 2.0 in n 0.358 * [taylor]: Taking taylor expansion of (* n PI) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.413 * [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 0.413 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of +nan.0 in n 0.413 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.413 * [taylor]: Taking taylor expansion of 0.5 in n 0.413 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.413 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.415 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.415 * [taylor]: Taking taylor expansion of 1.0 in n 0.415 * [taylor]: Taking taylor expansion of (log n) in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (log PI) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.421 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.421 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.421 * [taylor]: Taking taylor expansion of +nan.0 in n 0.421 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.421 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.421 * [taylor]: Taking taylor expansion of 0.5 in n 0.421 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.422 * [taylor]: Taking taylor expansion of 1.0 in n 0.422 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.423 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of (log PI) in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log n) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.429 * [taylor]: Taking taylor expansion of 2.0 in n 0.429 * [taylor]: Taking taylor expansion of (* n PI) in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.433 * [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 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of +nan.0 in n 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.433 * [taylor]: Taking taylor expansion of 0.5 in n 0.433 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.433 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.433 * [taylor]: Taking taylor expansion of 2.0 in n 0.435 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.435 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log PI) in n 0.435 * [taylor]: Taking taylor expansion of PI in n 0.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.437 * [taylor]: Taking taylor expansion of 1.0 in n 0.437 * [taylor]: Taking taylor expansion of (log n) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.441 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.441 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [taylor]: Taking taylor expansion of (* n PI) in n 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.519 * [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 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.519 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.519 * [taylor]: Taking taylor expansion of k in n 0.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.519 * [taylor]: Taking taylor expansion of 0.5 in n 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.519 * [taylor]: Taking taylor expansion of k in n 0.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.519 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.519 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.523 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.523 * [taylor]: Taking taylor expansion of k in k 0.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.524 * [taylor]: Taking taylor expansion of 0.5 in k 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.524 * [taylor]: Taking taylor expansion of 1.0 in k 0.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.524 * [taylor]: Taking taylor expansion of k in k 0.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.524 * [taylor]: Taking taylor expansion of 2.0 in k 0.524 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.525 * [taylor]: Taking taylor expansion of PI in k 0.525 * [taylor]: Taking taylor expansion of n in k 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.526 * [taylor]: Taking taylor expansion of 1.0 in k 0.526 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.526 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.526 * [taylor]: Taking taylor expansion of k in k 0.527 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.527 * [taylor]: Taking taylor expansion of 0.5 in k 0.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.527 * [taylor]: Taking taylor expansion of 1.0 in k 0.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.527 * [taylor]: Taking taylor expansion of k in k 0.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.527 * [taylor]: Taking taylor expansion of 2.0 in k 0.527 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.527 * [taylor]: Taking taylor expansion of PI in k 0.527 * [taylor]: Taking taylor expansion of n in k 0.529 * [taylor]: Taking taylor expansion of 0 in n 0.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.530 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.530 * [taylor]: Taking taylor expansion of PI in n 0.530 * [taylor]: Taking taylor expansion of n in n 0.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.531 * [taylor]: Taking taylor expansion of k in n 0.540 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.540 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.540 * [taylor]: Taking taylor expansion of +nan.0 in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.540 * [taylor]: Taking taylor expansion of 0.5 in n 0.540 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.540 * [taylor]: Taking taylor expansion of PI in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.541 * [taylor]: Taking taylor expansion of k in n 0.558 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.558 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.558 * [taylor]: Taking taylor expansion of +nan.0 in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.558 * [taylor]: Taking taylor expansion of 0.5 in n 0.558 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.558 * [taylor]: Taking taylor expansion of 2.0 in n 0.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.558 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.559 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.559 * [taylor]: Taking taylor expansion of 1.0 in n 0.559 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.559 * [taylor]: Taking taylor expansion of k in n 0.568 * [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 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.568 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.568 * [taylor]: Taking taylor expansion of 0.5 in n 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.568 * [taylor]: Taking taylor expansion of k in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.568 * [taylor]: Taking taylor expansion of -2.0 in n 0.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.568 * [taylor]: Taking taylor expansion of n in n 0.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.572 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.572 * [taylor]: Taking taylor expansion of -1 in n 0.572 * [taylor]: Taking taylor expansion of k in n 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.573 * [taylor]: Taking taylor expansion of 1.0 in k 0.573 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.573 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.573 * [taylor]: Taking taylor expansion of 0.5 in k 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.573 * [taylor]: Taking taylor expansion of k in k 0.578 * [taylor]: Taking taylor expansion of 1.0 in k 0.578 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.578 * [taylor]: Taking taylor expansion of -2.0 in k 0.578 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.578 * [taylor]: Taking taylor expansion of PI in k 0.578 * [taylor]: Taking taylor expansion of n in k 0.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.579 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.579 * [taylor]: Taking taylor expansion of -1 in k 0.579 * [taylor]: Taking taylor expansion of k in k 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.581 * [taylor]: Taking taylor expansion of 1.0 in k 0.581 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.581 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.581 * [taylor]: Taking taylor expansion of 0.5 in k 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.581 * [taylor]: Taking taylor expansion of k in k 0.581 * [taylor]: Taking taylor expansion of 1.0 in k 0.581 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.581 * [taylor]: Taking taylor expansion of -2.0 in k 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.581 * [taylor]: Taking taylor expansion of PI in k 0.581 * [taylor]: Taking taylor expansion of n in k 0.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.582 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.582 * [taylor]: Taking taylor expansion of -1 in k 0.582 * [taylor]: Taking taylor expansion of k in k 0.584 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.584 * [taylor]: Taking taylor expansion of +nan.0 in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.584 * [taylor]: Taking taylor expansion of 0.5 in n 0.584 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.584 * [taylor]: Taking taylor expansion of -2.0 in n 0.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.593 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.593 * [taylor]: Taking taylor expansion of +nan.0 in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.593 * [taylor]: Taking taylor expansion of 0.5 in n 0.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.594 * [taylor]: Taking taylor expansion of k in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.594 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.594 * [taylor]: Taking taylor expansion of -2.0 in n 0.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.612 * [taylor]: Taking taylor expansion of +nan.0 in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of -2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.621 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.622 * [taylor]: Taking taylor expansion of 0.5 in k 0.622 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.622 * [taylor]: Taking taylor expansion of 2.0 in k 0.622 * [taylor]: Taking taylor expansion of (* n PI) in k 0.622 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of PI in k 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (* n PI) in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.628 * [taylor]: Taking taylor expansion of (* n PI) in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.634 * [taylor]: Taking taylor expansion of 0.5 in k 0.634 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.634 * [taylor]: Taking taylor expansion of 1.0 in k 0.634 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.634 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.634 * [taylor]: Taking taylor expansion of 2.0 in k 0.634 * [taylor]: Taking taylor expansion of PI in k 0.635 * [taylor]: Taking taylor expansion of (log n) in k 0.635 * [taylor]: Taking taylor expansion of n in k 0.644 * [taylor]: Taking taylor expansion of 0 in k 0.660 * [taylor]: Taking taylor expansion of 0 in k 0.685 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.685 * [taylor]: Taking taylor expansion of 0.5 in k 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.685 * [taylor]: Taking taylor expansion of 2.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.686 * [taylor]: Taking taylor expansion of 0.5 in n 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.686 * [taylor]: Taking taylor expansion of k in n 0.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.686 * [taylor]: Taking taylor expansion of 2.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.690 * [taylor]: Taking taylor expansion of 0.5 in n 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.690 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.690 * [taylor]: Taking taylor expansion of 2.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.694 * [taylor]: Taking taylor expansion of 0.5 in k 0.694 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.694 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.694 * [taylor]: Taking taylor expansion of 2.0 in k 0.694 * [taylor]: Taking taylor expansion of PI in k 0.695 * [taylor]: Taking taylor expansion of (log n) in k 0.695 * [taylor]: Taking taylor expansion of n in k 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.695 * [taylor]: Taking taylor expansion of 1.0 in k 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.695 * [taylor]: Taking taylor expansion of k in k 0.705 * [taylor]: Taking taylor expansion of 0 in k 0.712 * [taylor]: Taking taylor expansion of 0 in k 0.721 * [taylor]: Taking taylor expansion of 0 in k 0.722 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.723 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.723 * [taylor]: Taking taylor expansion of 0.5 in k 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.723 * [taylor]: Taking taylor expansion of 1.0 in k 0.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.723 * [taylor]: Taking taylor expansion of -2.0 in k 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.723 * [taylor]: Taking taylor expansion of PI in k 0.723 * [taylor]: Taking taylor expansion of n in k 0.724 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.724 * [taylor]: Taking taylor expansion of 0.5 in n 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.724 * [taylor]: Taking taylor expansion of k in n 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.724 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.724 * [taylor]: Taking taylor expansion of -2.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.728 * [taylor]: Taking taylor expansion of 0.5 in n 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.728 * [taylor]: Taking taylor expansion of -2.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.728 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.732 * [taylor]: Taking taylor expansion of 0.5 in k 0.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.732 * [taylor]: Taking taylor expansion of 1.0 in k 0.732 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.732 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.732 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.732 * [taylor]: Taking taylor expansion of -2.0 in k 0.732 * [taylor]: Taking taylor expansion of PI in k 0.733 * [taylor]: Taking taylor expansion of (log n) in k 0.733 * [taylor]: Taking taylor expansion of n in k 0.742 * [taylor]: Taking taylor expansion of 0 in k 0.749 * [taylor]: Taking taylor expansion of 0 in k 0.765 * [taylor]: Taking taylor expansion of 0 in k 0.766 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.766 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.766 * [taylor]: Taking taylor expansion of 2.0 in n 0.766 * [taylor]: Taking taylor expansion of (* n PI) in n 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [taylor]: Taking taylor expansion of PI in n 0.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.766 * [taylor]: Taking taylor expansion of 2.0 in n 0.766 * [taylor]: Taking taylor expansion of (* n PI) in n 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [taylor]: Taking taylor expansion of PI in n 0.778 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of 2.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of 2.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.788 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.788 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.788 * [taylor]: Taking taylor expansion of -2.0 in n 0.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.788 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.788 * [taylor]: Taking taylor expansion of -2.0 in n 0.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.797 * * * [progress]: simplifying candidates 0.799 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 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 (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (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)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 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))) (* (/ 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)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 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) 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(* 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))) (* (log (* (* 2.0 PI) 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 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))) (* (* 2.0 PI) n) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 0.896 * * * [progress]: adding candidates to table 1.258 * * [progress]: iteration 2 / 4 1.258 * * * [progress]: picking best candidate 1.293 * * * * [pick]: Picked # 1.293 * * * [progress]: localizing error 1.308 * * * [progress]: generating rewritten candidates 1.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.324 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.394 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.461 * * * [progress]: generating series expansions 1.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.461 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.461 * [taylor]: Taking taylor expansion of k in k 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.475 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.475 * [taylor]: Taking taylor expansion of 1.0 in k 1.475 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.475 * [taylor]: Taking taylor expansion of k in k 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.476 * [taylor]: Taking taylor expansion of k in k 1.487 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.487 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.487 * [taylor]: Taking taylor expansion of 1.0 in k 1.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.487 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.487 * [taylor]: Taking taylor expansion of -1 in k 1.487 * [taylor]: Taking taylor expansion of k in k 1.489 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.489 * [taylor]: Taking taylor expansion of 1.0 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 -1 in k 1.489 * [taylor]: Taking taylor expansion of k in k 1.509 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.509 * [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 1.509 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.509 * [taylor]: Taking taylor expansion of 1.0 in n 1.509 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.509 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.510 * [taylor]: Taking taylor expansion of 1.0 in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.510 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* n PI) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.516 * [taylor]: Taking taylor expansion of k in k 1.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.517 * [taylor]: Taking taylor expansion of 0.5 in k 1.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.517 * [taylor]: Taking taylor expansion of 1.0 in k 1.517 * [taylor]: Taking taylor expansion of k in k 1.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.517 * [taylor]: Taking taylor expansion of 2.0 in k 1.517 * [taylor]: Taking taylor expansion of (* n PI) in k 1.517 * [taylor]: Taking taylor expansion of n in k 1.517 * [taylor]: Taking taylor expansion of PI in k 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.518 * [taylor]: Taking taylor expansion of 1.0 in k 1.518 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.518 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.520 * [taylor]: Taking taylor expansion of 0.5 in k 1.520 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.520 * [taylor]: Taking taylor expansion of k in k 1.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.520 * [taylor]: Taking taylor expansion of 2.0 in k 1.520 * [taylor]: Taking taylor expansion of (* n PI) in k 1.520 * [taylor]: Taking taylor expansion of n in k 1.520 * [taylor]: Taking taylor expansion of PI in k 1.521 * [taylor]: Taking taylor expansion of 0 in n 1.526 * [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 1.526 * [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 1.526 * [taylor]: Taking taylor expansion of +nan.0 in n 1.526 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.527 * [taylor]: Taking taylor expansion of 0.5 in n 1.527 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.527 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.527 * [taylor]: Taking taylor expansion of 1.0 in n 1.527 * [taylor]: Taking taylor expansion of (log PI) in n 1.527 * [taylor]: Taking taylor expansion of PI in n 1.529 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.529 * [taylor]: Taking taylor expansion of 1.0 in n 1.529 * [taylor]: Taking taylor expansion of (log n) in n 1.529 * [taylor]: Taking taylor expansion of n in n 1.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.529 * [taylor]: Taking taylor expansion of 1.0 in n 1.529 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.529 * [taylor]: Taking taylor expansion of 2.0 in n 1.549 * [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 1.549 * [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 1.549 * [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 1.549 * [taylor]: Taking taylor expansion of +nan.0 in n 1.549 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.549 * [taylor]: Taking taylor expansion of 0.5 in n 1.549 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.549 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.549 * [taylor]: Taking taylor expansion of 1.0 in n 1.549 * [taylor]: Taking taylor expansion of (log PI) in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.551 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.551 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.551 * [taylor]: Taking taylor expansion of 1.0 in n 1.551 * [taylor]: Taking taylor expansion of (log n) in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.552 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.552 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.552 * [taylor]: Taking taylor expansion of 1.0 in n 1.552 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.552 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [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 1.557 * [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 1.557 * [taylor]: Taking taylor expansion of +nan.0 in n 1.557 * [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 1.557 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.557 * [taylor]: Taking taylor expansion of 0.5 in n 1.557 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.557 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.557 * [taylor]: Taking taylor expansion of 1.0 in n 1.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.557 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.559 * [taylor]: Taking taylor expansion of 1.0 in n 1.559 * [taylor]: Taking taylor expansion of (log PI) in n 1.559 * [taylor]: Taking taylor expansion of PI in n 1.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.561 * [taylor]: Taking taylor expansion of 1.0 in n 1.561 * [taylor]: Taking taylor expansion of (log n) in n 1.561 * [taylor]: Taking taylor expansion of n in n 1.565 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.565 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.565 * [taylor]: Taking taylor expansion of 2.0 in n 1.565 * [taylor]: Taking taylor expansion of (* n PI) in n 1.565 * [taylor]: Taking taylor expansion of n in n 1.565 * [taylor]: Taking taylor expansion of PI in n 1.621 * [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 1.621 * [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 1.621 * [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 1.621 * [taylor]: Taking taylor expansion of +nan.0 in n 1.621 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.621 * [taylor]: Taking taylor expansion of 0.5 in n 1.621 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log n) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.624 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.624 * [taylor]: Taking taylor expansion of 1.0 in n 1.624 * [taylor]: Taking taylor expansion of (log PI) in n 1.624 * [taylor]: Taking taylor expansion of PI in n 1.629 * [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 1.629 * [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 1.629 * [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 1.629 * [taylor]: Taking taylor expansion of +nan.0 in n 1.629 * [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 1.629 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.629 * [taylor]: Taking taylor expansion of 0.5 in n 1.629 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.629 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.629 * [taylor]: Taking taylor expansion of 1.0 in n 1.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.629 * [taylor]: Taking taylor expansion of 2.0 in n 1.631 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.631 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.631 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.631 * [taylor]: Taking taylor expansion of 1.0 in n 1.631 * [taylor]: Taking taylor expansion of (log PI) in n 1.631 * [taylor]: Taking taylor expansion of PI in n 1.633 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.633 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.633 * [taylor]: Taking taylor expansion of 1.0 in n 1.633 * [taylor]: Taking taylor expansion of (log n) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (* n PI) in n 1.637 * [taylor]: Taking taylor expansion of n in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.640 * [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 1.640 * [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 1.640 * [taylor]: Taking taylor expansion of +nan.0 in n 1.640 * [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 1.640 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.640 * [taylor]: Taking taylor expansion of 0.5 in n 1.641 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.641 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.643 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.643 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.643 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.643 * [taylor]: Taking taylor expansion of 1.0 in n 1.643 * [taylor]: Taking taylor expansion of (log PI) in n 1.643 * [taylor]: Taking taylor expansion of PI in n 1.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [taylor]: Taking taylor expansion of (log n) in n 1.645 * [taylor]: Taking taylor expansion of n in n 1.649 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.649 * [taylor]: Taking taylor expansion of 2.0 in n 1.649 * [taylor]: Taking taylor expansion of (* n PI) in n 1.649 * [taylor]: Taking taylor expansion of n in n 1.649 * [taylor]: Taking taylor expansion of PI in n 1.727 * [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 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.728 * [taylor]: Taking taylor expansion of 2.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.728 * [taylor]: Taking taylor expansion of PI in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.732 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.733 * [taylor]: Taking taylor expansion of 0.5 in k 1.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.733 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.733 * [taylor]: Taking taylor expansion of 2.0 in k 1.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.733 * [taylor]: Taking taylor expansion of n in k 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.734 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.736 * [taylor]: Taking taylor expansion of 0.5 in k 1.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.736 * [taylor]: Taking taylor expansion of k in k 1.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.736 * [taylor]: Taking taylor expansion of 2.0 in k 1.736 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.736 * [taylor]: Taking taylor expansion of PI in k 1.736 * [taylor]: Taking taylor expansion of n in k 1.737 * [taylor]: Taking taylor expansion of 0 in n 1.738 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.738 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.738 * [taylor]: Taking taylor expansion of +nan.0 in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.738 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.738 * [taylor]: Taking taylor expansion of 0.5 in n 1.738 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.740 * [taylor]: Taking taylor expansion of k in n 1.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.748 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.748 * [taylor]: Taking taylor expansion of +nan.0 in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.748 * [taylor]: Taking taylor expansion of 0.5 in n 1.748 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.750 * [taylor]: Taking taylor expansion of 1.0 in n 1.750 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.750 * [taylor]: Taking taylor expansion of k in n 1.771 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.771 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.771 * [taylor]: Taking taylor expansion of +nan.0 in n 1.771 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.771 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.771 * [taylor]: Taking taylor expansion of 0.5 in n 1.771 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.771 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.771 * [taylor]: Taking taylor expansion of 2.0 in n 1.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.771 * [taylor]: Taking taylor expansion of PI in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.773 * [taylor]: Taking taylor expansion of 1.0 in n 1.773 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.773 * [taylor]: Taking taylor expansion of k in n 1.781 * [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 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.782 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.782 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.782 * [taylor]: Taking taylor expansion of 0.5 in n 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.782 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.782 * [taylor]: Taking taylor expansion of k in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.782 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.782 * [taylor]: Taking taylor expansion of -2.0 in n 1.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.786 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.786 * [taylor]: Taking taylor expansion of -1 in n 1.786 * [taylor]: Taking taylor expansion of k in n 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.787 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.787 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.787 * [taylor]: Taking taylor expansion of 0.5 in k 1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.787 * [taylor]: Taking taylor expansion of k in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.787 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.787 * [taylor]: Taking taylor expansion of -2.0 in k 1.787 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.787 * [taylor]: Taking taylor expansion of PI in k 1.787 * [taylor]: Taking taylor expansion of n in k 1.788 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.788 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.788 * [taylor]: Taking taylor expansion of -1 in k 1.788 * [taylor]: Taking taylor expansion of k in k 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.790 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.790 * [taylor]: Taking taylor expansion of 0.5 in k 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.790 * [taylor]: Taking taylor expansion of k in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.790 * [taylor]: Taking taylor expansion of -2.0 in k 1.790 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.790 * [taylor]: Taking taylor expansion of PI in k 1.790 * [taylor]: Taking taylor expansion of n in k 1.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.791 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.791 * [taylor]: Taking taylor expansion of -1 in k 1.791 * [taylor]: Taking taylor expansion of k in k 1.793 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.793 * [taylor]: Taking taylor expansion of +nan.0 in n 1.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.793 * [taylor]: Taking taylor expansion of 0.5 in n 1.793 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.793 * [taylor]: Taking taylor expansion of k in n 1.793 * [taylor]: Taking taylor expansion of 1.0 in n 1.793 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.793 * [taylor]: Taking taylor expansion of -2.0 in n 1.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.793 * [taylor]: Taking taylor expansion of PI in n 1.793 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.802 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.802 * [taylor]: Taking taylor expansion of +nan.0 in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.802 * [taylor]: Taking taylor expansion of 0.5 in n 1.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.802 * [taylor]: Taking taylor expansion of k in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.803 * [taylor]: Taking taylor expansion of -2.0 in n 1.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.803 * [taylor]: Taking taylor expansion of PI in n 1.803 * [taylor]: Taking taylor expansion of n in n 1.820 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.820 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.820 * [taylor]: Taking taylor expansion of +nan.0 in n 1.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.820 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.820 * [taylor]: Taking taylor expansion of 0.5 in n 1.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.821 * [taylor]: Taking taylor expansion of k in n 1.821 * [taylor]: Taking taylor expansion of 1.0 in n 1.821 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.821 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.821 * [taylor]: Taking taylor expansion of -2.0 in n 1.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.821 * [taylor]: Taking taylor expansion of PI in n 1.821 * [taylor]: Taking taylor expansion of n in n 1.830 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.830 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.830 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.831 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.831 * [taylor]: Taking taylor expansion of 0.5 in k 1.831 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.831 * [taylor]: Taking taylor expansion of 1.0 in k 1.831 * [taylor]: Taking taylor expansion of k in k 1.831 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.831 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.831 * [taylor]: Taking taylor expansion of 2.0 in k 1.831 * [taylor]: Taking taylor expansion of (* n PI) in k 1.831 * [taylor]: Taking taylor expansion of n in k 1.831 * [taylor]: Taking taylor expansion of PI in k 1.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.832 * [taylor]: Taking taylor expansion of 0.5 in n 1.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.832 * [taylor]: Taking taylor expansion of 1.0 in n 1.832 * [taylor]: Taking taylor expansion of k in n 1.832 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.832 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.832 * [taylor]: Taking taylor expansion of 2.0 in n 1.832 * [taylor]: Taking taylor expansion of (* n PI) in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.832 * [taylor]: Taking taylor expansion of PI in n 1.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.837 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.837 * [taylor]: Taking taylor expansion of 0.5 in n 1.837 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.837 * [taylor]: Taking taylor expansion of 1.0 in n 1.837 * [taylor]: Taking taylor expansion of k in n 1.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.837 * [taylor]: Taking taylor expansion of 2.0 in n 1.837 * [taylor]: Taking taylor expansion of (* n PI) in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.843 * [taylor]: Taking taylor expansion of 0.5 in k 1.843 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.843 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.843 * [taylor]: Taking taylor expansion of 1.0 in k 1.843 * [taylor]: Taking taylor expansion of k in k 1.843 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.843 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.843 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.843 * [taylor]: Taking taylor expansion of 2.0 in k 1.843 * [taylor]: Taking taylor expansion of PI in k 1.844 * [taylor]: Taking taylor expansion of (log n) in k 1.844 * [taylor]: Taking taylor expansion of n in k 1.853 * [taylor]: Taking taylor expansion of 0 in k 1.875 * [taylor]: Taking taylor expansion of 0 in k 1.894 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.894 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.894 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.894 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.894 * [taylor]: Taking taylor expansion of 0.5 in k 1.894 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.894 * [taylor]: Taking taylor expansion of 1.0 in k 1.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.894 * [taylor]: Taking taylor expansion of k in k 1.895 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.895 * [taylor]: Taking taylor expansion of 2.0 in k 1.895 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.895 * [taylor]: Taking taylor expansion of PI in k 1.895 * [taylor]: Taking taylor expansion of n in k 1.896 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.896 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.896 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.896 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.896 * [taylor]: Taking taylor expansion of 0.5 in n 1.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.896 * [taylor]: Taking taylor expansion of 1.0 in n 1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.896 * [taylor]: Taking taylor expansion of k in n 1.896 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.896 * [taylor]: Taking taylor expansion of 2.0 in n 1.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.896 * [taylor]: Taking taylor expansion of PI in n 1.896 * [taylor]: Taking taylor expansion of n in n 1.900 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.900 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.900 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.900 * [taylor]: Taking taylor expansion of 0.5 in n 1.900 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.900 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.900 * [taylor]: Taking taylor expansion of k in n 1.900 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.900 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.900 * [taylor]: Taking taylor expansion of 2.0 in n 1.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.900 * [taylor]: Taking taylor expansion of PI in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.904 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.904 * [taylor]: Taking taylor expansion of 0.5 in k 1.904 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.904 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.904 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.904 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.904 * [taylor]: Taking taylor expansion of 2.0 in k 1.904 * [taylor]: Taking taylor expansion of PI in k 1.905 * [taylor]: Taking taylor expansion of (log n) in k 1.905 * [taylor]: Taking taylor expansion of n in k 1.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.905 * [taylor]: Taking taylor expansion of 1.0 in k 1.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.905 * [taylor]: Taking taylor expansion of k in k 1.914 * [taylor]: Taking taylor expansion of 0 in k 1.922 * [taylor]: Taking taylor expansion of 0 in k 1.931 * [taylor]: Taking taylor expansion of 0 in k 1.932 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.932 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.932 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.932 * [taylor]: Taking taylor expansion of 0.5 in k 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.932 * [taylor]: Taking taylor expansion of k in k 1.932 * [taylor]: Taking taylor expansion of 1.0 in k 1.932 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.932 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.932 * [taylor]: Taking taylor expansion of -2.0 in k 1.932 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.932 * [taylor]: Taking taylor expansion of PI in k 1.932 * [taylor]: Taking taylor expansion of n in k 1.933 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.933 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.933 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.933 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.933 * [taylor]: Taking taylor expansion of 0.5 in n 1.933 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.933 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.933 * [taylor]: Taking taylor expansion of k in n 1.933 * [taylor]: Taking taylor expansion of 1.0 in n 1.933 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.934 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.934 * [taylor]: Taking taylor expansion of -2.0 in n 1.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.934 * [taylor]: Taking taylor expansion of PI in n 1.934 * [taylor]: Taking taylor expansion of n in n 1.937 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.937 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.937 * [taylor]: Taking taylor expansion of 0.5 in n 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.937 * [taylor]: Taking taylor expansion of k in n 1.937 * [taylor]: Taking taylor expansion of 1.0 in n 1.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.937 * [taylor]: Taking taylor expansion of -2.0 in n 1.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.937 * [taylor]: Taking taylor expansion of PI in n 1.937 * [taylor]: Taking taylor expansion of n in n 1.941 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.941 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.941 * [taylor]: Taking taylor expansion of 0.5 in k 1.941 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.941 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.941 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.941 * [taylor]: Taking taylor expansion of k in k 1.942 * [taylor]: Taking taylor expansion of 1.0 in k 1.942 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.942 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.942 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.942 * [taylor]: Taking taylor expansion of -2.0 in k 1.942 * [taylor]: Taking taylor expansion of PI in k 1.949 * [taylor]: Taking taylor expansion of (log n) in k 1.949 * [taylor]: Taking taylor expansion of n in k 1.958 * [taylor]: Taking taylor expansion of 0 in k 1.965 * [taylor]: Taking taylor expansion of 0 in k 1.974 * [taylor]: Taking taylor expansion of 0 in k 1.975 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.976 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.976 * [taylor]: Taking taylor expansion of 2.0 in n 1.976 * [taylor]: Taking taylor expansion of (* n PI) in n 1.976 * [taylor]: Taking taylor expansion of n in n 1.976 * [taylor]: Taking taylor expansion of PI in n 1.976 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.976 * [taylor]: Taking taylor expansion of 2.0 in n 1.976 * [taylor]: Taking taylor expansion of (* n PI) in n 1.976 * [taylor]: Taking taylor expansion of n in n 1.976 * [taylor]: Taking taylor expansion of PI in n 1.988 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.988 * [taylor]: Taking taylor expansion of 2.0 in n 1.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.988 * [taylor]: Taking taylor expansion of PI in n 1.988 * [taylor]: Taking taylor expansion of n in n 1.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.988 * [taylor]: Taking taylor expansion of 2.0 in n 1.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.988 * [taylor]: Taking taylor expansion of PI in n 1.988 * [taylor]: Taking taylor expansion of n in n 1.998 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.998 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.998 * [taylor]: Taking taylor expansion of -2.0 in n 1.998 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.998 * [taylor]: Taking taylor expansion of PI in n 1.998 * [taylor]: Taking taylor expansion of n in n 1.999 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.999 * [taylor]: Taking taylor expansion of -2.0 in n 1.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.999 * [taylor]: Taking taylor expansion of PI in n 1.999 * [taylor]: Taking taylor expansion of n in n 2.007 * * * [progress]: simplifying candidates 2.020 * [simplify]: Simplifying using # : (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt 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(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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt k))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt k))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt k))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 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))) (* (* 2.0 PI) n) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (- (* +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 (* (* (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)))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (- (+ (+ (* (* 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)) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.140 * * * [progress]: adding candidates to table 3.623 * * [progress]: iteration 3 / 4 3.623 * * * [progress]: picking best candidate 3.654 * * * * [pick]: Picked # 3.654 * * * [progress]: localizing error 3.671 * * * [progress]: generating rewritten candidates 3.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.685 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.690 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.703 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.716 * * * [progress]: generating series expansions 3.716 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.717 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.717 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.717 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.717 * [taylor]: Taking taylor expansion of 0.5 in k 3.717 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.717 * [taylor]: Taking taylor expansion of 1.0 in k 3.717 * [taylor]: Taking taylor expansion of k in k 3.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.717 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.717 * [taylor]: Taking taylor expansion of 2.0 in k 3.717 * [taylor]: Taking taylor expansion of (* n PI) in k 3.717 * [taylor]: Taking taylor expansion of n in k 3.717 * [taylor]: Taking taylor expansion of PI in k 3.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.718 * [taylor]: Taking taylor expansion of 0.5 in n 3.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.718 * [taylor]: Taking taylor expansion of 1.0 in n 3.718 * [taylor]: Taking taylor expansion of k in n 3.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.719 * [taylor]: Taking taylor expansion of 2.0 in n 3.719 * [taylor]: Taking taylor expansion of (* n PI) in n 3.719 * [taylor]: Taking taylor expansion of n in n 3.719 * [taylor]: Taking taylor expansion of PI in n 3.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.724 * [taylor]: Taking taylor expansion of 0.5 in n 3.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.724 * [taylor]: Taking taylor expansion of 1.0 in n 3.724 * [taylor]: Taking taylor expansion of k in n 3.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.724 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.724 * [taylor]: Taking taylor expansion of 2.0 in n 3.724 * [taylor]: Taking taylor expansion of (* n PI) in n 3.724 * [taylor]: Taking taylor expansion of n in n 3.724 * [taylor]: Taking taylor expansion of PI in n 3.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.730 * [taylor]: Taking taylor expansion of 0.5 in k 3.730 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.730 * [taylor]: Taking taylor expansion of 1.0 in k 3.730 * [taylor]: Taking taylor expansion of k in k 3.730 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.730 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.730 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.730 * [taylor]: Taking taylor expansion of 2.0 in k 3.730 * [taylor]: Taking taylor expansion of PI in k 3.731 * [taylor]: Taking taylor expansion of (log n) in k 3.731 * [taylor]: Taking taylor expansion of n in k 3.741 * [taylor]: Taking taylor expansion of 0 in k 3.757 * [taylor]: Taking taylor expansion of 0 in k 3.783 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.783 * [taylor]: Taking taylor expansion of 0.5 in k 3.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.783 * [taylor]: Taking taylor expansion of 1.0 in k 3.783 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.783 * [taylor]: Taking taylor expansion of k in k 3.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.783 * [taylor]: Taking taylor expansion of 2.0 in k 3.783 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.783 * [taylor]: Taking taylor expansion of PI in k 3.783 * [taylor]: Taking taylor expansion of n in k 3.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.784 * [taylor]: Taking taylor expansion of 0.5 in n 3.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.784 * [taylor]: Taking taylor expansion of 1.0 in n 3.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.784 * [taylor]: Taking taylor expansion of k in n 3.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.784 * [taylor]: Taking taylor expansion of 2.0 in n 3.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.784 * [taylor]: Taking taylor expansion of PI in n 3.784 * [taylor]: Taking taylor expansion of n in n 3.788 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.788 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.788 * [taylor]: Taking taylor expansion of 0.5 in n 3.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.788 * [taylor]: Taking taylor expansion of 1.0 in n 3.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.788 * [taylor]: Taking taylor expansion of k in n 3.788 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.788 * [taylor]: Taking taylor expansion of 2.0 in n 3.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.788 * [taylor]: Taking taylor expansion of PI in n 3.788 * [taylor]: Taking taylor expansion of n in n 3.792 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.792 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.792 * [taylor]: Taking taylor expansion of 0.5 in k 3.792 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.792 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.792 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.792 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.792 * [taylor]: Taking taylor expansion of 2.0 in k 3.792 * [taylor]: Taking taylor expansion of PI in k 3.793 * [taylor]: Taking taylor expansion of (log n) in k 3.793 * [taylor]: Taking taylor expansion of n in k 3.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.793 * [taylor]: Taking taylor expansion of 1.0 in k 3.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.793 * [taylor]: Taking taylor expansion of k in k 3.803 * [taylor]: Taking taylor expansion of 0 in k 3.810 * [taylor]: Taking taylor expansion of 0 in k 3.820 * [taylor]: Taking taylor expansion of 0 in k 3.821 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.821 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.821 * [taylor]: Taking taylor expansion of 0.5 in k 3.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.821 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.821 * [taylor]: Taking taylor expansion of -2.0 in k 3.821 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.821 * [taylor]: Taking taylor expansion of PI in k 3.821 * [taylor]: Taking taylor expansion of n in k 3.822 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.822 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.822 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.822 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.822 * [taylor]: Taking taylor expansion of 0.5 in n 3.822 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.822 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.822 * [taylor]: Taking taylor expansion of k in n 3.822 * [taylor]: Taking taylor expansion of 1.0 in n 3.822 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.822 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.823 * [taylor]: Taking taylor expansion of -2.0 in n 3.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.823 * [taylor]: Taking taylor expansion of PI in n 3.823 * [taylor]: Taking taylor expansion of n in n 3.826 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.826 * [taylor]: Taking taylor expansion of 0.5 in n 3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.826 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.826 * [taylor]: Taking taylor expansion of k in n 3.826 * [taylor]: Taking taylor expansion of 1.0 in n 3.826 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.826 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.826 * [taylor]: Taking taylor expansion of -2.0 in n 3.826 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.826 * [taylor]: Taking taylor expansion of PI in n 3.826 * [taylor]: Taking taylor expansion of n in n 3.830 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.830 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.830 * [taylor]: Taking taylor expansion of 0.5 in k 3.830 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.830 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.830 * [taylor]: Taking taylor expansion of k in k 3.831 * [taylor]: Taking taylor expansion of 1.0 in k 3.831 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.831 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.831 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.831 * [taylor]: Taking taylor expansion of -2.0 in k 3.831 * [taylor]: Taking taylor expansion of PI in k 3.832 * [taylor]: Taking taylor expansion of (log n) in k 3.832 * [taylor]: Taking taylor expansion of n in k 3.841 * [taylor]: Taking taylor expansion of 0 in k 3.848 * [taylor]: Taking taylor expansion of 0 in k 3.863 * [taylor]: Taking taylor expansion of 0 in k 3.864 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.865 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.865 * [taylor]: Taking taylor expansion of 2.0 in n 3.865 * [taylor]: Taking taylor expansion of (* n PI) in n 3.865 * [taylor]: Taking taylor expansion of n in n 3.865 * [taylor]: Taking taylor expansion of PI in n 3.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.865 * [taylor]: Taking taylor expansion of 2.0 in n 3.865 * [taylor]: Taking taylor expansion of (* n PI) in n 3.865 * [taylor]: Taking taylor expansion of n in n 3.865 * [taylor]: Taking taylor expansion of PI in n 3.877 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.878 * [taylor]: Taking taylor expansion of 2.0 in n 3.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.878 * [taylor]: Taking taylor expansion of PI in n 3.878 * [taylor]: Taking taylor expansion of n in n 3.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.878 * [taylor]: Taking taylor expansion of 2.0 in n 3.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.878 * [taylor]: Taking taylor expansion of PI in n 3.878 * [taylor]: Taking taylor expansion of n in n 3.887 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.887 * [taylor]: Taking taylor expansion of -2.0 in n 3.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.887 * [taylor]: Taking taylor expansion of PI in n 3.887 * [taylor]: Taking taylor expansion of n in n 3.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.887 * [taylor]: Taking taylor expansion of -2.0 in n 3.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.888 * [taylor]: Taking taylor expansion of PI in n 3.888 * [taylor]: Taking taylor expansion of n in n 3.896 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.897 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.897 * [taylor]: Taking taylor expansion of 1.0 in n 3.897 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.897 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.897 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.897 * [taylor]: Taking taylor expansion of 1/4 in n 3.897 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.897 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.897 * [taylor]: Taking taylor expansion of k in n 3.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.897 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.897 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.897 * [taylor]: Taking taylor expansion of 0.5 in n 3.897 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.897 * [taylor]: Taking taylor expansion of 1.0 in n 3.897 * [taylor]: Taking taylor expansion of k in n 3.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.897 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.897 * [taylor]: Taking taylor expansion of 2.0 in n 3.897 * [taylor]: Taking taylor expansion of (* n PI) in n 3.897 * [taylor]: Taking taylor expansion of n in n 3.897 * [taylor]: Taking taylor expansion of PI in n 3.903 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.903 * [taylor]: Taking taylor expansion of 1.0 in k 3.903 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.903 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.903 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.903 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.903 * [taylor]: Taking taylor expansion of 1/4 in k 3.903 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.903 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.904 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.904 * [taylor]: Taking taylor expansion of 0.5 in k 3.904 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.904 * [taylor]: Taking taylor expansion of 1.0 in k 3.904 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.904 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.904 * [taylor]: Taking taylor expansion of 2.0 in k 3.904 * [taylor]: Taking taylor expansion of (* n PI) in k 3.904 * [taylor]: Taking taylor expansion of n in k 3.904 * [taylor]: Taking taylor expansion of PI in k 3.905 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.905 * [taylor]: Taking taylor expansion of 1.0 in k 3.905 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.905 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 3.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 3.905 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 3.905 * [taylor]: Taking taylor expansion of 1/4 in k 3.905 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.905 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.905 * [taylor]: Taking taylor expansion of k in k 3.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.906 * [taylor]: Taking taylor expansion of 0.5 in k 3.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.906 * [taylor]: Taking taylor expansion of 1.0 in k 3.906 * [taylor]: Taking taylor expansion of k in k 3.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.906 * [taylor]: Taking taylor expansion of 2.0 in k 3.906 * [taylor]: Taking taylor expansion of (* n PI) in k 3.906 * [taylor]: Taking taylor expansion of n in k 3.906 * [taylor]: Taking taylor expansion of PI in k 3.908 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.908 * [taylor]: Taking taylor expansion of 1.0 in n 3.908 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.908 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.908 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.908 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.908 * [taylor]: Taking taylor expansion of 1/4 in n 3.908 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.908 * [taylor]: Taking taylor expansion of k in n 3.909 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.909 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.909 * [taylor]: Taking taylor expansion of 0.5 in n 3.909 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.909 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.909 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.909 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.909 * [taylor]: Taking taylor expansion of 1.0 in n 3.909 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.909 * [taylor]: Taking taylor expansion of 2.0 in n 3.911 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.911 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.911 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.911 * [taylor]: Taking taylor expansion of 1.0 in n 3.911 * [taylor]: Taking taylor expansion of (log n) in n 3.911 * [taylor]: Taking taylor expansion of n in n 3.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.912 * [taylor]: Taking taylor expansion of 1.0 in n 3.912 * [taylor]: Taking taylor expansion of (log PI) in n 3.912 * [taylor]: Taking taylor expansion of PI in n 3.928 * [taylor]: Taking taylor expansion of (- (* 0.5 (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.928 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.928 * [taylor]: Taking taylor expansion of 0.5 in n 3.928 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.928 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.928 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.928 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.929 * [taylor]: Taking taylor expansion of 1/4 in n 3.929 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.929 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.929 * [taylor]: Taking taylor expansion of k in n 3.929 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.929 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.929 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.929 * [taylor]: Taking taylor expansion of 2.0 in n 3.929 * [taylor]: Taking taylor expansion of (* n PI) in n 3.929 * [taylor]: Taking taylor expansion of n in n 3.929 * [taylor]: Taking taylor expansion of PI in n 3.932 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.932 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.932 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.932 * [taylor]: Taking taylor expansion of 0.5 in n 3.932 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.932 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.932 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.932 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.932 * [taylor]: Taking taylor expansion of 1.0 in n 3.932 * [taylor]: Taking taylor expansion of (log PI) in n 3.932 * [taylor]: Taking taylor expansion of PI in n 3.934 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.934 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.934 * [taylor]: Taking taylor expansion of 1.0 in n 3.935 * [taylor]: Taking taylor expansion of (log n) in n 3.935 * [taylor]: Taking taylor expansion of n in n 3.935 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.935 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.935 * [taylor]: Taking taylor expansion of 1.0 in n 3.935 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.935 * [taylor]: Taking taylor expansion of 2.0 in n 3.984 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (/ 1 k) 1/4) (* (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 3.984 * [taylor]: Taking taylor expansion of 0.125 in n 3.984 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (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 3.984 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 3.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 3.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 3.984 * [taylor]: Taking taylor expansion of 1/4 in n 3.984 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 3.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.984 * [taylor]: Taking taylor expansion of k in n 3.985 * [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 3.985 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.985 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.985 * [taylor]: Taking taylor expansion of 0.5 in n 3.985 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.985 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.985 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.985 * [taylor]: Taking taylor expansion of 1.0 in n 3.985 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.985 * [taylor]: Taking taylor expansion of 2.0 in n 3.987 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.987 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.987 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.987 * [taylor]: Taking taylor expansion of 1.0 in n 3.987 * [taylor]: Taking taylor expansion of (log PI) in n 3.987 * [taylor]: Taking taylor expansion of PI in n 3.989 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.989 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.989 * [taylor]: Taking taylor expansion of 1.0 in n 3.989 * [taylor]: Taking taylor expansion of (log n) in n 3.989 * [taylor]: Taking taylor expansion of n in n 3.993 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.993 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.993 * [taylor]: Taking taylor expansion of 2.0 in n 3.993 * [taylor]: Taking taylor expansion of (* n PI) in n 3.993 * [taylor]: Taking taylor expansion of n in n 3.993 * [taylor]: Taking taylor expansion of PI in n 4.014 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.014 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.014 * [taylor]: Taking taylor expansion of 1.0 in n 4.014 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.014 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 4.014 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 4.014 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 4.014 * [taylor]: Taking taylor expansion of 1/4 in n 4.014 * [taylor]: Taking taylor expansion of (log k) in n 4.014 * [taylor]: Taking taylor expansion of k in n 4.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.014 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.014 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.014 * [taylor]: Taking taylor expansion of 0.5 in n 4.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.014 * [taylor]: Taking taylor expansion of 1.0 in n 4.014 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.014 * [taylor]: Taking taylor expansion of k in n 4.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.014 * [taylor]: Taking taylor expansion of 2.0 in n 4.014 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.014 * [taylor]: Taking taylor expansion of PI in n 4.014 * [taylor]: Taking taylor expansion of n in n 4.018 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.018 * [taylor]: Taking taylor expansion of 1.0 in k 4.018 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.018 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.018 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.018 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.018 * [taylor]: Taking taylor expansion of 1/4 in k 4.018 * [taylor]: Taking taylor expansion of (log k) in k 4.018 * [taylor]: Taking taylor expansion of k in k 4.018 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.019 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.019 * [taylor]: Taking taylor expansion of 0.5 in k 4.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.019 * [taylor]: Taking taylor expansion of 1.0 in k 4.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.019 * [taylor]: Taking taylor expansion of k in k 4.019 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.019 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.019 * [taylor]: Taking taylor expansion of 2.0 in k 4.019 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.019 * [taylor]: Taking taylor expansion of PI in k 4.019 * [taylor]: Taking taylor expansion of n in k 4.020 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.020 * [taylor]: Taking taylor expansion of 1.0 in k 4.020 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.020 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.020 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.020 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.020 * [taylor]: Taking taylor expansion of 1/4 in k 4.020 * [taylor]: Taking taylor expansion of (log k) in k 4.020 * [taylor]: Taking taylor expansion of k in k 4.021 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.021 * [taylor]: Taking taylor expansion of 0.5 in k 4.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.021 * [taylor]: Taking taylor expansion of 1.0 in k 4.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.021 * [taylor]: Taking taylor expansion of k in k 4.021 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.021 * [taylor]: Taking taylor expansion of 2.0 in k 4.021 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.021 * [taylor]: Taking taylor expansion of PI in k 4.021 * [taylor]: Taking taylor expansion of n in k 4.023 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.023 * [taylor]: Taking taylor expansion of 1.0 in n 4.023 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.023 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 4.023 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 4.023 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 4.023 * [taylor]: Taking taylor expansion of 1/4 in n 4.023 * [taylor]: Taking taylor expansion of (log k) in n 4.023 * [taylor]: Taking taylor expansion of k in n 4.023 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.023 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.023 * [taylor]: Taking taylor expansion of 0.5 in n 4.023 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.023 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.023 * [taylor]: Taking taylor expansion of 2.0 in n 4.023 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.023 * [taylor]: Taking taylor expansion of PI in n 4.023 * [taylor]: Taking taylor expansion of n in n 4.024 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.024 * [taylor]: Taking taylor expansion of 1.0 in n 4.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.025 * [taylor]: Taking taylor expansion of k in n 4.033 * [taylor]: Taking taylor expansion of 0 in n 4.053 * [taylor]: Taking taylor expansion of 0 in n 4.071 * [taylor]: Taking taylor expansion of 0 in n 4.073 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.073 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.073 * [taylor]: Taking taylor expansion of 1.0 in n 4.073 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 4.073 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.073 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.073 * [taylor]: Taking taylor expansion of -1 in n 4.073 * [taylor]: Taking taylor expansion of k in n 4.073 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.073 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.073 * [taylor]: Taking taylor expansion of 0.5 in n 4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.074 * [taylor]: Taking taylor expansion of k in n 4.074 * [taylor]: Taking taylor expansion of 1.0 in n 4.074 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.074 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.074 * [taylor]: Taking taylor expansion of -2.0 in n 4.074 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.074 * [taylor]: Taking taylor expansion of PI in n 4.074 * [taylor]: Taking taylor expansion of n in n 4.077 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.077 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.077 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.077 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.077 * [taylor]: Taking taylor expansion of -1 in k 4.077 * [taylor]: Taking taylor expansion of k in k 4.084 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.084 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.084 * [taylor]: Taking taylor expansion of 0.5 in k 4.084 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.084 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.084 * [taylor]: Taking taylor expansion of k in k 4.084 * [taylor]: Taking taylor expansion of 1.0 in k 4.084 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.084 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.084 * [taylor]: Taking taylor expansion of -2.0 in k 4.084 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.084 * [taylor]: Taking taylor expansion of PI in k 4.084 * [taylor]: Taking taylor expansion of n in k 4.085 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.085 * [taylor]: Taking taylor expansion of 1.0 in k 4.085 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.085 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.085 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.085 * [taylor]: Taking taylor expansion of -1 in k 4.085 * [taylor]: Taking taylor expansion of k in k 4.092 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.092 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.092 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.092 * [taylor]: Taking taylor expansion of 0.5 in k 4.092 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.092 * [taylor]: Taking taylor expansion of k in k 4.092 * [taylor]: Taking taylor expansion of 1.0 in k 4.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.092 * [taylor]: Taking taylor expansion of -2.0 in k 4.092 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.092 * [taylor]: Taking taylor expansion of PI in k 4.092 * [taylor]: Taking taylor expansion of n in k 4.094 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt +nan.0) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.094 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (* (sqrt +nan.0) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.094 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.094 * [taylor]: Taking taylor expansion of +nan.0 in n 4.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.095 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.095 * [taylor]: Taking taylor expansion of 0.5 in n 4.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.095 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.095 * [taylor]: Taking taylor expansion of k in n 4.095 * [taylor]: Taking taylor expansion of 1.0 in n 4.095 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.095 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.095 * [taylor]: Taking taylor expansion of -2.0 in n 4.095 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.095 * [taylor]: Taking taylor expansion of PI in n 4.095 * [taylor]: Taking taylor expansion of n in n 4.106 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))) in n 4.106 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))) in n 4.106 * [taylor]: Taking taylor expansion of +nan.0 in n 4.106 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.106 * [taylor]: Taking taylor expansion of 0.5 in n 4.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.106 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.106 * [taylor]: Taking taylor expansion of k in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.106 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.106 * [taylor]: Taking taylor expansion of -2.0 in n 4.106 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.106 * [taylor]: Taking taylor expansion of PI in n 4.106 * [taylor]: Taking taylor expansion of n in n 4.111 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.111 * [taylor]: Taking taylor expansion of +nan.0 in n 4.147 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))))) in n 4.147 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))))) in n 4.147 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) in n 4.147 * [taylor]: Taking taylor expansion of +nan.0 in n 4.147 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3)) in n 4.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.147 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.147 * [taylor]: Taking taylor expansion of 0.5 in n 4.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.147 * [taylor]: Taking taylor expansion of k in n 4.147 * [taylor]: Taking taylor expansion of 1.0 in n 4.147 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.147 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.147 * [taylor]: Taking taylor expansion of -2.0 in n 4.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.147 * [taylor]: Taking taylor expansion of PI in n 4.147 * [taylor]: Taking taylor expansion of n in n 4.152 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 3) in n 4.152 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.152 * [taylor]: Taking taylor expansion of +nan.0 in n 4.156 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))) in n 4.156 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))) in n 4.156 * [taylor]: Taking taylor expansion of +nan.0 in n 4.156 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)) in n 4.156 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.156 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.156 * [taylor]: Taking taylor expansion of 0.5 in n 4.156 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.156 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.156 * [taylor]: Taking taylor expansion of k in n 4.156 * [taylor]: Taking taylor expansion of 1.0 in n 4.156 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.156 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.156 * [taylor]: Taking taylor expansion of -2.0 in n 4.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.156 * [taylor]: Taking taylor expansion of PI in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.160 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.160 * [taylor]: Taking taylor expansion of +nan.0 in n 4.179 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.179 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 4.179 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.179 * [taylor]: Taking taylor expansion of 1/4 in k 4.179 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.179 * [taylor]: Taking taylor expansion of k in k 4.180 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.180 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.180 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.180 * [taylor]: Taking taylor expansion of 1/4 in k 4.180 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.180 * [taylor]: Taking taylor expansion of k in k 4.239 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 4.239 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.239 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.239 * [taylor]: Taking taylor expansion of 1/4 in k 4.239 * [taylor]: Taking taylor expansion of (log k) in k 4.239 * [taylor]: Taking taylor expansion of k in k 4.240 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.240 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.240 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.240 * [taylor]: Taking taylor expansion of 1/4 in k 4.240 * [taylor]: Taking taylor expansion of (log k) in k 4.240 * [taylor]: Taking taylor expansion of k in k 4.288 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 4.288 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.288 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.288 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.288 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.288 * [taylor]: Taking taylor expansion of -1 in k 4.288 * [taylor]: Taking taylor expansion of k in k 4.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.302 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.302 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.302 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.302 * [taylor]: Taking taylor expansion of -1 in k 4.302 * [taylor]: Taking taylor expansion of k in k 4.327 * * * [progress]: simplifying candidates 4.330 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (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)))) (* (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (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)))) (* (cbrt (* (/ 1.0 (sqrt (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 (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 (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)))) (sqrt (* (/ 1.0 (sqrt (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 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)))) (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 (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (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 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) 1) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt (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))) (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ 1.0 (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (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 (sqrt (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 (sqrt (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- 1/2) (- 1) (- (/ 1/2 2)) (- (/ 1 2)) (- (/ (/ 1 2) 2)) (- (log (sqrt (sqrt k)))) (- 0 (log (sqrt (sqrt k)))) (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt 1))) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt 1)) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt 1))) (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1) 1) (/ (sqrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) 1) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt 1))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt 1)) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 1) (/ (sqrt (sqrt k)) (cbrt 1)) (/ (sqrt (sqrt k)) (sqrt 1)) (/ (sqrt (sqrt k)) 1) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (pow (pow k 7) 1/4) (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (* 0.125 (* (pow (pow k 7) 1/4) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) (* 0.125 (* (pow (pow k 7) 1/4) (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 0.5 (* (pow (pow k 3) 1/4) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (* 0.5 (* (pow (pow k 3) 1/4) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* 1.0 (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (- (* 1.0 (* (sqrt +nan.0) (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)))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) (pow k -1/4) (pow (/ 1 k) 1/4) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))))) 4.342 * * [simplify]: iteration 0 : 962 enodes (cost 1779 ) 4.359 * * [simplify]: iteration 1 : 3964 enodes (cost 1641 ) 4.421 * * [simplify]: iteration 2 : 5001 enodes (cost 1600 ) 4.429 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) 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)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 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))) (* (* 2.0 PI) n) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 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)))) (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 (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (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 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt (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))) (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ 1.0 (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (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 (sqrt (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 (sqrt (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- 1/2) (- 1) (- 1/4) (- 1/2) (- 1/4) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (sqrt (sqrt k)) (sqrt (sqrt k)) (sqrt (sqrt k)) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.25 (* (pow (pow k 7) 1/4) (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (- (* (* 0.125 (pow (pow k 7) 1/4)) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* (* 0.5 (pow (pow k 3) 1/4)) (+ (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))) (* 1.0 (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (+ (- (* 1.0 (* (sqrt +nan.0) (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)))))) (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (sqrt +nan.0) k)) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (pow k -1/4) (pow (/ 1 k) 1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) k)) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 4.430 * * * [progress]: adding candidates to table 4.827 * * [progress]: iteration 4 / 4 4.827 * * * [progress]: picking best candidate 4.856 * * * * [pick]: Picked # 4.856 * * * [progress]: localizing error 4.877 * * * [progress]: generating rewritten candidates 4.877 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.885 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.895 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.899 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.918 * * * [progress]: generating series expansions 4.918 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.919 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.919 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.919 * [taylor]: Taking taylor expansion of 0.5 in k 4.919 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.919 * [taylor]: Taking taylor expansion of 1.0 in k 4.919 * [taylor]: Taking taylor expansion of k in k 4.919 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.919 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.919 * [taylor]: Taking taylor expansion of 2.0 in k 4.919 * [taylor]: Taking taylor expansion of PI in k 4.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.924 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.924 * [taylor]: Taking taylor expansion of 0.5 in k 4.924 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.924 * [taylor]: Taking taylor expansion of 1.0 in k 4.924 * [taylor]: Taking taylor expansion of k in k 4.924 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.924 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.924 * [taylor]: Taking taylor expansion of 2.0 in k 4.924 * [taylor]: Taking taylor expansion of PI in k 4.979 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.979 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.979 * [taylor]: Taking taylor expansion of 0.5 in k 4.979 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.979 * [taylor]: Taking taylor expansion of 1.0 in k 4.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.980 * [taylor]: Taking taylor expansion of k in k 4.980 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.980 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.980 * [taylor]: Taking taylor expansion of 2.0 in k 4.980 * [taylor]: Taking taylor expansion of PI in k 4.984 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.984 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.984 * [taylor]: Taking taylor expansion of 0.5 in k 4.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.984 * [taylor]: Taking taylor expansion of 1.0 in k 4.984 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.984 * [taylor]: Taking taylor expansion of k in k 4.985 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.985 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.985 * [taylor]: Taking taylor expansion of 2.0 in k 4.985 * [taylor]: Taking taylor expansion of PI in k 4.990 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.990 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.990 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.990 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.990 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.990 * [taylor]: Taking taylor expansion of 0.5 in k 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.990 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.990 * [taylor]: Taking taylor expansion of k in k 4.991 * [taylor]: Taking taylor expansion of 1.0 in k 4.991 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.991 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.991 * [taylor]: Taking taylor expansion of 2.0 in k 4.991 * [taylor]: Taking taylor expansion of PI in k 4.994 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.994 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.994 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.994 * [taylor]: Taking taylor expansion of 0.5 in k 4.994 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.994 * [taylor]: Taking taylor expansion of k in k 4.994 * [taylor]: Taking taylor expansion of 1.0 in k 4.994 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.994 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.994 * [taylor]: Taking taylor expansion of 2.0 in k 4.994 * [taylor]: Taking taylor expansion of PI in k 4.999 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.000 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 5.000 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 5.000 * [taylor]: Taking taylor expansion of 1.0 in k 5.000 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 5.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.000 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.000 * [taylor]: Taking taylor expansion of k in k 5.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.001 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.001 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.001 * [taylor]: Taking taylor expansion of 0.5 in k 5.001 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.001 * [taylor]: Taking taylor expansion of 1.0 in k 5.001 * [taylor]: Taking taylor expansion of k in k 5.001 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.001 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.001 * [taylor]: Taking taylor expansion of 2.0 in k 5.001 * [taylor]: Taking taylor expansion of PI in k 5.006 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 5.006 * [taylor]: Taking taylor expansion of 1.0 in k 5.006 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 5.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.006 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.006 * [taylor]: Taking taylor expansion of k in k 5.007 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.007 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.007 * [taylor]: Taking taylor expansion of 0.5 in k 5.007 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.007 * [taylor]: Taking taylor expansion of 1.0 in k 5.007 * [taylor]: Taking taylor expansion of k in k 5.007 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.007 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.007 * [taylor]: Taking taylor expansion of 2.0 in k 5.007 * [taylor]: Taking taylor expansion of PI in k 5.230 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 5.230 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.230 * [taylor]: Taking taylor expansion of 1.0 in k 5.230 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.230 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.230 * [taylor]: Taking taylor expansion of k in k 5.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.232 * [taylor]: Taking taylor expansion of 0.5 in k 5.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.232 * [taylor]: Taking taylor expansion of 1.0 in k 5.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.232 * [taylor]: Taking taylor expansion of k in k 5.232 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.232 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.232 * [taylor]: Taking taylor expansion of 2.0 in k 5.232 * [taylor]: Taking taylor expansion of PI in k 5.236 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.236 * [taylor]: Taking taylor expansion of 1.0 in k 5.236 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.236 * [taylor]: Taking taylor expansion of k in k 5.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.237 * [taylor]: Taking taylor expansion of 0.5 in k 5.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.237 * [taylor]: Taking taylor expansion of 1.0 in k 5.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.237 * [taylor]: Taking taylor expansion of k in k 5.237 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.237 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.237 * [taylor]: Taking taylor expansion of 2.0 in k 5.237 * [taylor]: Taking taylor expansion of PI in k 5.260 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 5.260 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.260 * [taylor]: Taking taylor expansion of 1.0 in k 5.260 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.260 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.260 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.260 * [taylor]: Taking taylor expansion of 0.5 in k 5.260 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.260 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.260 * [taylor]: Taking taylor expansion of k in k 5.261 * [taylor]: Taking taylor expansion of 1.0 in k 5.261 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.261 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.261 * [taylor]: Taking taylor expansion of 2.0 in k 5.261 * [taylor]: Taking taylor expansion of PI in k 5.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.264 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.264 * [taylor]: Taking taylor expansion of -1 in k 5.265 * [taylor]: Taking taylor expansion of k in k 5.267 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.267 * [taylor]: Taking taylor expansion of 1.0 in k 5.267 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.267 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.267 * [taylor]: Taking taylor expansion of 0.5 in k 5.267 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.267 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.267 * [taylor]: Taking taylor expansion of k in k 5.267 * [taylor]: Taking taylor expansion of 1.0 in k 5.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.267 * [taylor]: Taking taylor expansion of 2.0 in k 5.267 * [taylor]: Taking taylor expansion of PI in k 5.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.270 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.270 * [taylor]: Taking taylor expansion of -1 in k 5.270 * [taylor]: Taking taylor expansion of k in k 5.297 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.297 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.297 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.297 * [taylor]: Taking taylor expansion of 1.0 in k 5.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.297 * [taylor]: Taking taylor expansion of k in k 5.298 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.298 * [taylor]: Taking taylor expansion of 1.0 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 k in k 5.310 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.310 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.310 * [taylor]: Taking taylor expansion of 1.0 in k 5.310 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.310 * [taylor]: Taking taylor expansion of k in k 5.311 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.311 * [taylor]: Taking taylor expansion of 1.0 in k 5.311 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.311 * [taylor]: Taking taylor expansion of k in k 5.321 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.322 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.322 * [taylor]: Taking taylor expansion of 1.0 in k 5.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.322 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.322 * [taylor]: Taking taylor expansion of -1 in k 5.322 * [taylor]: Taking taylor expansion of k in k 5.323 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.323 * [taylor]: Taking taylor expansion of 1.0 in k 5.323 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.323 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.323 * [taylor]: Taking taylor expansion of -1 in k 5.323 * [taylor]: Taking taylor expansion of k in k 5.335 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.336 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 5.336 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 5.336 * [taylor]: Taking taylor expansion of 1.0 in n 5.336 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 5.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.336 * [taylor]: Taking taylor expansion of k in n 5.336 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 5.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 5.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 5.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 5.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.336 * [taylor]: Taking taylor expansion of 0.5 in n 5.336 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.336 * [taylor]: Taking taylor expansion of 1.0 in n 5.336 * [taylor]: Taking taylor expansion of k in n 5.336 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.337 * [taylor]: Taking taylor expansion of 2.0 in n 5.337 * [taylor]: Taking taylor expansion of PI in n 5.339 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.339 * [taylor]: Taking taylor expansion of 0.5 in n 5.339 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.339 * [taylor]: Taking taylor expansion of 1.0 in n 5.339 * [taylor]: Taking taylor expansion of k in n 5.339 * [taylor]: Taking taylor expansion of (log n) in n 5.339 * [taylor]: Taking taylor expansion of n in n 5.340 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.340 * [taylor]: Taking taylor expansion of 1.0 in k 5.340 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.340 * [taylor]: Taking taylor expansion of k in k 5.341 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.341 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.341 * [taylor]: Taking taylor expansion of 0.5 in k 5.341 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.342 * [taylor]: Taking taylor expansion of 1.0 in k 5.342 * [taylor]: Taking taylor expansion of k in k 5.342 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.342 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.342 * [taylor]: Taking taylor expansion of 2.0 in k 5.342 * [taylor]: Taking taylor expansion of PI in k 5.346 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.346 * [taylor]: Taking taylor expansion of 0.5 in k 5.346 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.346 * [taylor]: Taking taylor expansion of 1.0 in k 5.346 * [taylor]: Taking taylor expansion of k in k 5.346 * [taylor]: Taking taylor expansion of (log n) in k 5.346 * [taylor]: Taking taylor expansion of n in k 5.347 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.347 * [taylor]: Taking taylor expansion of 1.0 in k 5.347 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.347 * [taylor]: Taking taylor expansion of k in k 5.348 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.348 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.348 * [taylor]: Taking taylor expansion of 0.5 in k 5.348 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.348 * [taylor]: Taking taylor expansion of 1.0 in k 5.348 * [taylor]: Taking taylor expansion of k in k 5.348 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.348 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.348 * [taylor]: Taking taylor expansion of 2.0 in k 5.349 * [taylor]: Taking taylor expansion of PI in k 5.353 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.353 * [taylor]: Taking taylor expansion of 0.5 in k 5.353 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.353 * [taylor]: Taking taylor expansion of 1.0 in k 5.353 * [taylor]: Taking taylor expansion of k in k 5.353 * [taylor]: Taking taylor expansion of (log n) in k 5.353 * [taylor]: Taking taylor expansion of n in k 5.356 * [taylor]: Taking taylor expansion of 0 in n 5.387 * [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 5.387 * [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 5.387 * [taylor]: Taking taylor expansion of +nan.0 in n 5.387 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.387 * [taylor]: Taking taylor expansion of 0.5 in n 5.387 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.387 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.387 * [taylor]: Taking taylor expansion of 1.0 in n 5.387 * [taylor]: Taking taylor expansion of (log PI) in n 5.387 * [taylor]: Taking taylor expansion of PI in n 5.389 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.389 * [taylor]: Taking taylor expansion of 1.0 in n 5.389 * [taylor]: Taking taylor expansion of (log n) in n 5.389 * [taylor]: Taking taylor expansion of n in n 5.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.390 * [taylor]: Taking taylor expansion of 1.0 in n 5.390 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.390 * [taylor]: Taking taylor expansion of 2.0 in n 5.438 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 5.438 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 5.438 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.438 * [taylor]: Taking taylor expansion of +nan.0 in n 5.439 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.439 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.439 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.439 * [taylor]: Taking taylor expansion of 2.0 in n 5.439 * [taylor]: Taking taylor expansion of PI in n 5.440 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.440 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.440 * [taylor]: Taking taylor expansion of 0.5 in n 5.440 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.440 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.440 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.440 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.440 * [taylor]: Taking taylor expansion of 1.0 in n 5.440 * [taylor]: Taking taylor expansion of (log PI) in n 5.440 * [taylor]: Taking taylor expansion of PI in n 5.442 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.442 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.442 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.442 * [taylor]: Taking taylor expansion of 1.0 in n 5.442 * [taylor]: Taking taylor expansion of (log n) in n 5.442 * [taylor]: Taking taylor expansion of n in n 5.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.442 * [taylor]: Taking taylor expansion of 1.0 in n 5.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.442 * [taylor]: Taking taylor expansion of 2.0 in n 5.448 * [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 n)))))) in n 5.448 * [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 n))))) in n 5.448 * [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 5.448 * [taylor]: Taking taylor expansion of +nan.0 in n 5.448 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.448 * [taylor]: Taking taylor expansion of 0.5 in n 5.448 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.448 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.448 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.448 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.448 * [taylor]: Taking taylor expansion of 1.0 in n 5.448 * [taylor]: Taking taylor expansion of (log PI) in n 5.449 * [taylor]: Taking taylor expansion of PI in n 5.450 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.450 * [taylor]: Taking taylor expansion of 1.0 in n 5.451 * [taylor]: Taking taylor expansion of (log n) in n 5.451 * [taylor]: Taking taylor expansion of n in n 5.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.451 * [taylor]: Taking taylor expansion of 1.0 in n 5.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.451 * [taylor]: Taking taylor expansion of 2.0 in n 5.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 5.457 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 5.457 * [taylor]: Taking taylor expansion of +nan.0 in n 5.457 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 5.457 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.457 * [taylor]: Taking taylor expansion of 0.5 in n 5.457 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.457 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.457 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.457 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.457 * [taylor]: Taking taylor expansion of 1.0 in n 5.457 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.457 * [taylor]: Taking taylor expansion of 2.0 in n 5.459 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.459 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.459 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.459 * [taylor]: Taking taylor expansion of 1.0 in n 5.459 * [taylor]: Taking taylor expansion of (log PI) in n 5.459 * [taylor]: Taking taylor expansion of PI in n 5.461 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.461 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.461 * [taylor]: Taking taylor expansion of 1.0 in n 5.461 * [taylor]: Taking taylor expansion of (log n) in n 5.461 * [taylor]: Taking taylor expansion of n in n 5.465 * [taylor]: Taking taylor expansion of (log n) in n 5.465 * [taylor]: Taking taylor expansion of n in n 5.581 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 5.581 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 5.581 * [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 5.581 * [taylor]: Taking taylor expansion of +nan.0 in n 5.581 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.581 * [taylor]: Taking taylor expansion of 0.5 in n 5.581 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.581 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.581 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.581 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.581 * [taylor]: Taking taylor expansion of 1.0 in n 5.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.581 * [taylor]: Taking taylor expansion of 2.0 in n 5.583 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.583 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.583 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.583 * [taylor]: Taking taylor expansion of 1.0 in n 5.583 * [taylor]: Taking taylor expansion of (log n) in n 5.583 * [taylor]: Taking taylor expansion of n in n 5.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.584 * [taylor]: Taking taylor expansion of 1.0 in n 5.584 * [taylor]: Taking taylor expansion of (log PI) in n 5.584 * [taylor]: Taking taylor expansion of PI in n 5.590 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 5.590 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 5.590 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.590 * [taylor]: Taking taylor expansion of +nan.0 in n 5.590 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.590 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 5.590 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.590 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.590 * [taylor]: Taking taylor expansion of 2.0 in n 5.590 * [taylor]: Taking taylor expansion of PI in n 5.591 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.591 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.591 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.591 * [taylor]: Taking taylor expansion of 0.5 in n 5.591 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.591 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.591 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.591 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.591 * [taylor]: Taking taylor expansion of 1.0 in n 5.591 * [taylor]: Taking taylor expansion of (log PI) in n 5.591 * [taylor]: Taking taylor expansion of PI in n 5.593 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.593 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.593 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.593 * [taylor]: Taking taylor expansion of 1.0 in n 5.593 * [taylor]: Taking taylor expansion of (log n) in n 5.593 * [taylor]: Taking taylor expansion of n in n 5.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.594 * [taylor]: Taking taylor expansion of 1.0 in n 5.594 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.594 * [taylor]: Taking taylor expansion of 2.0 in n 5.599 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 5.599 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 5.599 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 5.599 * [taylor]: Taking taylor expansion of +nan.0 in n 5.599 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 5.599 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.599 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.599 * [taylor]: Taking taylor expansion of 0.5 in n 5.599 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.599 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.599 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.599 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.599 * [taylor]: Taking taylor expansion of 1.0 in n 5.600 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.600 * [taylor]: Taking taylor expansion of 2.0 in n 5.601 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.601 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.601 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.601 * [taylor]: Taking taylor expansion of 1.0 in n 5.601 * [taylor]: Taking taylor expansion of (log PI) in n 5.601 * [taylor]: Taking taylor expansion of PI in n 5.603 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.603 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.603 * [taylor]: Taking taylor expansion of 1.0 in n 5.603 * [taylor]: Taking taylor expansion of (log n) in n 5.603 * [taylor]: Taking taylor expansion of n in n 5.608 * [taylor]: Taking taylor expansion of (log n) in n 5.608 * [taylor]: Taking taylor expansion of n in n 5.608 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 5.608 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 5.608 * [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 n) 2))) in n 5.608 * [taylor]: Taking taylor expansion of +nan.0 in n 5.608 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 5.608 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.608 * [taylor]: Taking taylor expansion of 0.5 in n 5.608 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.608 * [taylor]: Taking taylor expansion of 1.0 in n 5.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.608 * [taylor]: Taking taylor expansion of 2.0 in n 5.610 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.610 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.610 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.610 * [taylor]: Taking taylor expansion of 1.0 in n 5.610 * [taylor]: Taking taylor expansion of (log PI) in n 5.610 * [taylor]: Taking taylor expansion of PI in n 5.612 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.612 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.612 * [taylor]: Taking taylor expansion of 1.0 in n 5.612 * [taylor]: Taking taylor expansion of (log n) in n 5.612 * [taylor]: Taking taylor expansion of n in n 5.617 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 5.617 * [taylor]: Taking taylor expansion of (log n) in n 5.617 * [taylor]: Taking taylor expansion of n in n 5.617 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 5.617 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 5.617 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.617 * [taylor]: Taking taylor expansion of +nan.0 in n 5.617 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.618 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.618 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.618 * [taylor]: Taking taylor expansion of 2.0 in n 5.618 * [taylor]: Taking taylor expansion of PI in n 5.619 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.619 * [taylor]: Taking taylor expansion of 0.5 in n 5.619 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.619 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.619 * [taylor]: Taking taylor expansion of 1.0 in n 5.619 * [taylor]: Taking taylor expansion of (log PI) in n 5.619 * [taylor]: Taking taylor expansion of PI in n 5.621 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.621 * [taylor]: Taking taylor expansion of 1.0 in n 5.621 * [taylor]: Taking taylor expansion of (log n) in n 5.621 * [taylor]: Taking taylor expansion of n in n 5.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.621 * [taylor]: Taking taylor expansion of 1.0 in n 5.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.621 * [taylor]: Taking taylor expansion of 2.0 in n 5.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 5.627 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 5.627 * [taylor]: Taking taylor expansion of +nan.0 in n 5.627 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 5.627 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 5.627 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.627 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.627 * [taylor]: Taking taylor expansion of 2.0 in n 5.627 * [taylor]: Taking taylor expansion of PI in n 5.628 * [taylor]: Taking taylor expansion of (log n) in n 5.628 * [taylor]: Taking taylor expansion of n in n 5.628 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 5.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 5.628 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 5.629 * [taylor]: Taking taylor expansion of 0.5 in n 5.629 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 5.629 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 5.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.629 * [taylor]: Taking taylor expansion of 1.0 in n 5.629 * [taylor]: Taking taylor expansion of (log PI) in n 5.629 * [taylor]: Taking taylor expansion of PI in n 5.630 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 5.631 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.631 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.631 * [taylor]: Taking taylor expansion of 1.0 in n 5.631 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.631 * [taylor]: Taking taylor expansion of 2.0 in n 5.632 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.632 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.632 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.632 * [taylor]: Taking taylor expansion of 1.0 in n 5.632 * [taylor]: Taking taylor expansion of (log n) in n 5.632 * [taylor]: Taking taylor expansion of n in n 5.752 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 5.752 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 5.752 * [taylor]: Taking taylor expansion of 1.0 in n 5.752 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 5.752 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.752 * [taylor]: Taking taylor expansion of k in n 5.752 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.752 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.752 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.752 * [taylor]: Taking taylor expansion of 0.5 in n 5.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.752 * [taylor]: Taking taylor expansion of 1.0 in n 5.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.752 * [taylor]: Taking taylor expansion of k in n 5.753 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.753 * [taylor]: Taking taylor expansion of n in n 5.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 5.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 5.754 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.754 * [taylor]: Taking taylor expansion of 0.5 in n 5.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.754 * [taylor]: Taking taylor expansion of 1.0 in n 5.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.754 * [taylor]: Taking taylor expansion of k in n 5.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.754 * [taylor]: Taking taylor expansion of 2.0 in n 5.754 * [taylor]: Taking taylor expansion of PI in n 5.756 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.756 * [taylor]: Taking taylor expansion of 1.0 in k 5.756 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.757 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.757 * [taylor]: Taking taylor expansion of k in k 5.758 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.758 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.758 * [taylor]: Taking taylor expansion of 0.5 in k 5.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.758 * [taylor]: Taking taylor expansion of 1.0 in k 5.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.758 * [taylor]: Taking taylor expansion of k in k 5.758 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.758 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.758 * [taylor]: Taking taylor expansion of n in k 5.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.759 * [taylor]: Taking taylor expansion of 0.5 in k 5.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.759 * [taylor]: Taking taylor expansion of 1.0 in k 5.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.759 * [taylor]: Taking taylor expansion of k in k 5.760 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.760 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.760 * [taylor]: Taking taylor expansion of 2.0 in k 5.760 * [taylor]: Taking taylor expansion of PI in k 5.763 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 5.763 * [taylor]: Taking taylor expansion of 1.0 in k 5.763 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.763 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.763 * [taylor]: Taking taylor expansion of k in k 5.764 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.764 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.765 * [taylor]: Taking taylor expansion of 0.5 in k 5.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.765 * [taylor]: Taking taylor expansion of 1.0 in k 5.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.765 * [taylor]: Taking taylor expansion of k in k 5.765 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.765 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.765 * [taylor]: Taking taylor expansion of n in k 5.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.766 * [taylor]: Taking taylor expansion of 0.5 in k 5.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.766 * [taylor]: Taking taylor expansion of 1.0 in k 5.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.766 * [taylor]: Taking taylor expansion of k in k 5.766 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.766 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.766 * [taylor]: Taking taylor expansion of 2.0 in k 5.766 * [taylor]: Taking taylor expansion of PI in k 5.772 * [taylor]: Taking taylor expansion of 0 in n 5.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 5.775 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 5.775 * [taylor]: Taking taylor expansion of +nan.0 in n 5.775 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 5.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.775 * [taylor]: Taking taylor expansion of 0.5 in n 5.775 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.775 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.775 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.775 * [taylor]: Taking taylor expansion of n in n 5.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.776 * [taylor]: Taking taylor expansion of 1.0 in n 5.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.776 * [taylor]: Taking taylor expansion of k in n 5.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.776 * [taylor]: Taking taylor expansion of 0.5 in n 5.776 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.777 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.777 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.777 * [taylor]: Taking taylor expansion of 2.0 in n 5.777 * [taylor]: Taking taylor expansion of PI in n 5.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.778 * [taylor]: Taking taylor expansion of 1.0 in n 5.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.778 * [taylor]: Taking taylor expansion of k in n 5.790 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 5.790 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 5.790 * [taylor]: Taking taylor expansion of +nan.0 in n 5.790 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 5.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.790 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.790 * [taylor]: Taking taylor expansion of 0.5 in n 5.790 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.790 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.790 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.790 * [taylor]: Taking taylor expansion of n in n 5.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.791 * [taylor]: Taking taylor expansion of 1.0 in n 5.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.791 * [taylor]: Taking taylor expansion of k in n 5.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.791 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.791 * [taylor]: Taking taylor expansion of 0.5 in n 5.791 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.792 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.792 * [taylor]: Taking taylor expansion of 2.0 in n 5.792 * [taylor]: Taking taylor expansion of PI in n 5.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.793 * [taylor]: Taking taylor expansion of 1.0 in n 5.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.793 * [taylor]: Taking taylor expansion of k in n 5.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 5.818 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 5.818 * [taylor]: Taking taylor expansion of +nan.0 in n 5.818 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 5.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.818 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.818 * [taylor]: Taking taylor expansion of 0.5 in n 5.818 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.818 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.818 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.818 * [taylor]: Taking taylor expansion of n in n 5.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.819 * [taylor]: Taking taylor expansion of 1.0 in n 5.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.819 * [taylor]: Taking taylor expansion of k in n 5.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 5.819 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 5.819 * [taylor]: Taking taylor expansion of 0.5 in n 5.819 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 5.820 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.820 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.820 * [taylor]: Taking taylor expansion of 2.0 in n 5.820 * [taylor]: Taking taylor expansion of PI in n 5.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.821 * [taylor]: Taking taylor expansion of 1.0 in n 5.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.821 * [taylor]: Taking taylor expansion of k in n 5.830 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 5.830 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 5.830 * [taylor]: Taking taylor expansion of 1.0 in n 5.830 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 5.830 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.830 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.831 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.831 * [taylor]: Taking taylor expansion of 0.5 in n 5.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.831 * [taylor]: Taking taylor expansion of k in n 5.831 * [taylor]: Taking taylor expansion of 1.0 in n 5.831 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.831 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.831 * [taylor]: Taking taylor expansion of -1 in n 5.831 * [taylor]: Taking taylor expansion of n in n 5.833 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 5.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 5.833 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.833 * [taylor]: Taking taylor expansion of 0.5 in n 5.833 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.833 * [taylor]: Taking taylor expansion of k in n 5.833 * [taylor]: Taking taylor expansion of 1.0 in n 5.833 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.833 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.833 * [taylor]: Taking taylor expansion of 2.0 in n 5.833 * [taylor]: Taking taylor expansion of PI in n 5.835 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.835 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.835 * [taylor]: Taking taylor expansion of -1 in n 5.835 * [taylor]: Taking taylor expansion of k in n 5.838 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 5.838 * [taylor]: Taking taylor expansion of 1.0 in k 5.838 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 5.838 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.838 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.838 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.838 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.838 * [taylor]: Taking taylor expansion of 0.5 in k 5.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.838 * [taylor]: Taking taylor expansion of k in k 5.838 * [taylor]: Taking taylor expansion of 1.0 in k 5.838 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.838 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.838 * [taylor]: Taking taylor expansion of -1 in k 5.838 * [taylor]: Taking taylor expansion of n in k 5.839 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.839 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.839 * [taylor]: Taking taylor expansion of 0.5 in k 5.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.839 * [taylor]: Taking taylor expansion of k in k 5.840 * [taylor]: Taking taylor expansion of 1.0 in k 5.840 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.840 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.840 * [taylor]: Taking taylor expansion of 2.0 in k 5.840 * [taylor]: Taking taylor expansion of PI in k 5.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.849 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.849 * [taylor]: Taking taylor expansion of -1 in k 5.849 * [taylor]: Taking taylor expansion of k in k 5.852 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 5.852 * [taylor]: Taking taylor expansion of 1.0 in k 5.852 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 5.852 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.852 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.852 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.852 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.852 * [taylor]: Taking taylor expansion of 0.5 in k 5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.852 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.852 * [taylor]: Taking taylor expansion of k in k 5.853 * [taylor]: Taking taylor expansion of 1.0 in k 5.853 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.853 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.853 * [taylor]: Taking taylor expansion of -1 in k 5.853 * [taylor]: Taking taylor expansion of n in k 5.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.854 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.854 * [taylor]: Taking taylor expansion of 0.5 in k 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.854 * [taylor]: Taking taylor expansion of k in k 5.854 * [taylor]: Taking taylor expansion of 1.0 in k 5.854 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.854 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.854 * [taylor]: Taking taylor expansion of 2.0 in k 5.854 * [taylor]: Taking taylor expansion of PI in k 5.858 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.858 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.858 * [taylor]: Taking taylor expansion of -1 in k 5.858 * [taylor]: Taking taylor expansion of k in k 5.862 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.862 * [taylor]: Taking taylor expansion of +nan.0 in n 5.862 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.862 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.862 * [taylor]: Taking taylor expansion of 0.5 in n 5.862 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.862 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.862 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.862 * [taylor]: Taking taylor expansion of k in n 5.862 * [taylor]: Taking taylor expansion of 1.0 in n 5.862 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.862 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.862 * [taylor]: Taking taylor expansion of -1 in n 5.862 * [taylor]: Taking taylor expansion of n in n 5.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.864 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.864 * [taylor]: Taking taylor expansion of 0.5 in n 5.864 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.864 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.864 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.864 * [taylor]: Taking taylor expansion of 2.0 in n 5.864 * [taylor]: Taking taylor expansion of PI in n 5.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.865 * [taylor]: Taking taylor expansion of k in n 5.865 * [taylor]: Taking taylor expansion of 1.0 in n 5.877 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 5.877 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.877 * [taylor]: Taking taylor expansion of +nan.0 in n 5.877 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.877 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.877 * [taylor]: Taking taylor expansion of 0.5 in n 5.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.877 * [taylor]: Taking taylor expansion of k in n 5.877 * [taylor]: Taking taylor expansion of 1.0 in n 5.877 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.877 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.877 * [taylor]: Taking taylor expansion of -1 in n 5.877 * [taylor]: Taking taylor expansion of n in n 5.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.879 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.880 * [taylor]: Taking taylor expansion of 0.5 in n 5.880 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.880 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.880 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.880 * [taylor]: Taking taylor expansion of 2.0 in n 5.880 * [taylor]: Taking taylor expansion of PI in n 5.881 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.881 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.881 * [taylor]: Taking taylor expansion of k in n 5.881 * [taylor]: Taking taylor expansion of 1.0 in n 5.907 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 5.907 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 5.907 * [taylor]: Taking taylor expansion of +nan.0 in n 5.907 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 5.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.907 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.907 * [taylor]: Taking taylor expansion of 0.5 in n 5.907 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.907 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.908 * [taylor]: Taking taylor expansion of k in n 5.908 * [taylor]: Taking taylor expansion of 1.0 in n 5.908 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.908 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.908 * [taylor]: Taking taylor expansion of -1 in n 5.908 * [taylor]: Taking taylor expansion of n in n 5.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 5.910 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 5.910 * [taylor]: Taking taylor expansion of 0.5 in n 5.910 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 5.910 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.910 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.910 * [taylor]: Taking taylor expansion of 2.0 in n 5.910 * [taylor]: Taking taylor expansion of PI in n 5.911 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.911 * [taylor]: Taking taylor expansion of k in n 5.911 * [taylor]: Taking taylor expansion of 1.0 in n 5.922 * * * [progress]: simplifying candidates 5.925 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- 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(pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 1) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* 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(sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (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 k 2) (log (* 2.0 PI))) (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 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 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 6.055 * * * [progress]: adding candidates to table 6.471 * [progress]: [Phase 3 of 3] Extracting. 6.471 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.475 * * * [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) 6.475 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.516 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 6.699 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.738 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.776 * * * [regime]: Found split indices: #