13.446 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.143 * * * [progress]: [2/2] Setting up program. 0.146 * [progress]: [Phase 2 of 3] Improving. 0.146 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.148 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.150 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.151 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.154 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.159 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.182 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.182 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.183 * * [progress]: iteration 1 / 4 0.183 * * * [progress]: picking best candidate 0.185 * * * * [pick]: Picked # 0.185 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.207 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.237 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.239 * [taylor]: Taking taylor expansion of 1.0 in k 0.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.239 * [taylor]: Taking taylor expansion of k in k 0.251 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.251 * [taylor]: Taking taylor expansion of 1.0 in k 0.251 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.251 * [taylor]: Taking taylor expansion of k in k 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.252 * [taylor]: Taking taylor expansion of 1.0 in k 0.252 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.252 * [taylor]: Taking taylor expansion of k in k 0.262 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.262 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.262 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.262 * [taylor]: Taking taylor expansion of -1 in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.263 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.263 * [taylor]: Taking taylor expansion of 1.0 in k 0.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.264 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.264 * [taylor]: Taking taylor expansion of -1 in k 0.264 * [taylor]: Taking taylor expansion of k in k 0.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.276 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.276 * [taylor]: Taking taylor expansion of 2.0 in n 0.276 * [taylor]: Taking taylor expansion of (* n PI) in n 0.276 * [taylor]: Taking taylor expansion of n in n 0.276 * [taylor]: Taking taylor expansion of PI in n 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.276 * [taylor]: Taking taylor expansion of 2.0 in n 0.276 * [taylor]: Taking taylor expansion of (* n PI) in n 0.276 * [taylor]: Taking taylor expansion of n in n 0.276 * [taylor]: Taking taylor expansion of PI in n 0.288 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.298 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.298 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of -2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of -2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.307 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.307 * [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 0.307 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.307 * [taylor]: Taking taylor expansion of k in n 0.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [taylor]: Taking taylor expansion of (* n PI) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.319 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.320 * [taylor]: Taking taylor expansion of 0.5 in k 0.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.320 * [taylor]: Taking taylor expansion of 2.0 in k 0.320 * [taylor]: Taking taylor expansion of (* n PI) in k 0.321 * [taylor]: Taking taylor expansion of n in k 0.321 * [taylor]: Taking taylor expansion of PI in k 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.321 * [taylor]: Taking taylor expansion of 1.0 in k 0.321 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.322 * [taylor]: Taking taylor expansion of k in k 0.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.323 * [taylor]: Taking taylor expansion of 0.5 in k 0.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.323 * [taylor]: Taking taylor expansion of 1.0 in k 0.323 * [taylor]: Taking taylor expansion of k in k 0.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.323 * [taylor]: Taking taylor expansion of 2.0 in k 0.323 * [taylor]: Taking taylor expansion of (* n PI) in k 0.323 * [taylor]: Taking taylor expansion of n in k 0.323 * [taylor]: Taking taylor expansion of PI in k 0.324 * [taylor]: Taking taylor expansion of 0 in n 0.330 * [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 0.330 * [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 0.330 * [taylor]: Taking taylor expansion of +nan.0 in n 0.330 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.330 * [taylor]: Taking taylor expansion of 0.5 in n 0.330 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.330 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.330 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.330 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.330 * [taylor]: Taking taylor expansion of 1.0 in n 0.330 * [taylor]: Taking taylor expansion of (log PI) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [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 0.352 * [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 0.352 * [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 0.352 * [taylor]: Taking taylor expansion of +nan.0 in n 0.352 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.352 * [taylor]: Taking taylor expansion of 0.5 in n 0.352 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.352 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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) (pow 2.0 1.0)) 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 0.354 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.354 * [taylor]: Taking taylor expansion of 2.0 in n 0.360 * [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 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of +nan.0 in n 0.360 * [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 0.360 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.360 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.360 * [taylor]: Taking taylor expansion of 0.5 in n 0.360 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.360 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.360 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.360 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.360 * [taylor]: Taking taylor expansion of 1.0 in n 0.360 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.360 * [taylor]: Taking taylor expansion of 2.0 in n 0.362 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.362 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (log PI) in n 0.362 * [taylor]: Taking taylor expansion of PI in n 0.364 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (log n) in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.422 * [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 0.422 * [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 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of +nan.0 in n 0.422 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.422 * [taylor]: Taking taylor expansion of 0.5 in n 0.422 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 0.424 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log n) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log PI) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.430 * [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 0.430 * [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 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of +nan.0 in n 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.430 * [taylor]: Taking taylor expansion of 0.5 in n 0.430 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.430 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.430 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.431 * [taylor]: Taking taylor expansion of 1.0 in n 0.431 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.432 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.432 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log PI) in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.434 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.434 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (log n) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.438 * [taylor]: Taking taylor expansion of 2.0 in n 0.438 * [taylor]: Taking taylor expansion of (* n PI) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.441 * [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 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of +nan.0 in n 0.441 * [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 0.442 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.442 * [taylor]: Taking taylor expansion of 0.5 in n 0.442 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.442 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.442 * [taylor]: Taking taylor expansion of 1.0 in n 0.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.442 * [taylor]: Taking taylor expansion of 2.0 in n 0.444 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log PI) in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log n) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.450 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.450 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [taylor]: Taking taylor expansion of (* n PI) in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.528 * [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 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.528 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.528 * [taylor]: Taking taylor expansion of k in n 0.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.528 * [taylor]: Taking taylor expansion of 0.5 in n 0.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.528 * [taylor]: Taking taylor expansion of k in n 0.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.528 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.528 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.532 * [taylor]: Taking taylor expansion of 1.0 in k 0.532 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.532 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.532 * [taylor]: Taking taylor expansion of k in k 0.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.533 * [taylor]: Taking taylor expansion of 0.5 in k 0.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.533 * [taylor]: Taking taylor expansion of 1.0 in k 0.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.533 * [taylor]: Taking taylor expansion of k in k 0.533 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.533 * [taylor]: Taking taylor expansion of 2.0 in k 0.533 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.533 * [taylor]: Taking taylor expansion of PI in k 0.533 * [taylor]: Taking taylor expansion of n in k 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.535 * [taylor]: Taking taylor expansion of 1.0 in k 0.535 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.535 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.535 * [taylor]: Taking taylor expansion of k in k 0.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.536 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.536 * [taylor]: Taking taylor expansion of 0.5 in k 0.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.536 * [taylor]: Taking taylor expansion of 1.0 in k 0.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.536 * [taylor]: Taking taylor expansion of k in k 0.536 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.536 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.536 * [taylor]: Taking taylor expansion of 2.0 in k 0.536 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.536 * [taylor]: Taking taylor expansion of PI in k 0.536 * [taylor]: Taking taylor expansion of n in k 0.538 * [taylor]: Taking taylor expansion of 0 in n 0.538 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.539 * [taylor]: Taking taylor expansion of +nan.0 in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.539 * [taylor]: Taking taylor expansion of 0.5 in n 0.539 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.539 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.540 * [taylor]: Taking taylor expansion of k in n 0.548 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.548 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.548 * [taylor]: Taking taylor expansion of +nan.0 in n 0.548 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.549 * [taylor]: Taking taylor expansion of 0.5 in n 0.549 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.549 * [taylor]: Taking taylor expansion of 2.0 in n 0.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.550 * [taylor]: Taking taylor expansion of 1.0 in n 0.550 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.550 * [taylor]: Taking taylor expansion of k in n 0.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.566 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.566 * [taylor]: Taking taylor expansion of +nan.0 in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.567 * [taylor]: Taking taylor expansion of 0.5 in n 0.567 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.567 * [taylor]: Taking taylor expansion of 2.0 in n 0.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.567 * [taylor]: Taking taylor expansion of PI in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.568 * [taylor]: Taking taylor expansion of 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 0.581 * [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 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.581 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.581 * [taylor]: Taking taylor expansion of 0.5 in n 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.581 * [taylor]: Taking taylor expansion of k in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.581 * [taylor]: Taking taylor expansion of -2.0 in n 0.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.585 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.585 * [taylor]: Taking taylor expansion of -1 in n 0.585 * [taylor]: Taking taylor expansion of k in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.586 * [taylor]: Taking taylor expansion of 1.0 in k 0.586 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.586 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.586 * [taylor]: Taking taylor expansion of 0.5 in k 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.586 * [taylor]: Taking taylor expansion of k in k 0.587 * [taylor]: Taking taylor expansion of 1.0 in k 0.587 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.587 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.587 * [taylor]: Taking taylor expansion of -2.0 in k 0.587 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.587 * [taylor]: Taking taylor expansion of PI in k 0.587 * [taylor]: Taking taylor expansion of n in k 0.587 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.587 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.588 * [taylor]: Taking taylor expansion of -1 in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.589 * [taylor]: Taking taylor expansion of 1.0 in k 0.589 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.589 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.589 * [taylor]: Taking taylor expansion of 0.5 in k 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.589 * [taylor]: Taking taylor expansion of k in k 0.589 * [taylor]: Taking taylor expansion of 1.0 in k 0.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.589 * [taylor]: Taking taylor expansion of -2.0 in k 0.589 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.589 * [taylor]: Taking taylor expansion of PI in k 0.589 * [taylor]: Taking taylor expansion of n in k 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.590 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.590 * [taylor]: Taking taylor expansion of -1 in k 0.590 * [taylor]: Taking taylor expansion of k in k 0.592 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.592 * [taylor]: Taking taylor expansion of +nan.0 in n 0.592 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.592 * [taylor]: Taking taylor expansion of 0.5 in n 0.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.592 * [taylor]: Taking taylor expansion of 1.0 in n 0.592 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.592 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.592 * [taylor]: Taking taylor expansion of -2.0 in n 0.592 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.592 * [taylor]: Taking taylor expansion of n in n 0.601 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.601 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.601 * [taylor]: Taking taylor expansion of +nan.0 in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.602 * [taylor]: Taking taylor expansion of -2.0 in n 0.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.619 * [taylor]: Taking taylor expansion of +nan.0 in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.619 * [taylor]: Taking taylor expansion of -2.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.628 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.629 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.629 * [taylor]: Taking taylor expansion of 0.5 in k 0.629 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.629 * [taylor]: Taking taylor expansion of 2.0 in k 0.629 * [taylor]: Taking taylor expansion of (* n PI) in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.630 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (* n PI) in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.635 * [taylor]: Taking taylor expansion of 0.5 in n 0.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.635 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.635 * [taylor]: Taking taylor expansion of 2.0 in n 0.635 * [taylor]: Taking taylor expansion of (* n PI) in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.636 * [taylor]: Taking taylor expansion of PI in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.641 * [taylor]: Taking taylor expansion of 0.5 in k 0.641 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.641 * [taylor]: Taking taylor expansion of 1.0 in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.641 * [taylor]: Taking taylor expansion of 2.0 in k 0.641 * [taylor]: Taking taylor expansion of PI in k 0.642 * [taylor]: Taking taylor expansion of (log n) in k 0.642 * [taylor]: Taking taylor expansion of n in k 0.651 * [taylor]: Taking taylor expansion of 0 in k 0.672 * [taylor]: Taking taylor expansion of 0 in k 0.691 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.691 * [taylor]: Taking taylor expansion of 0.5 in k 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.691 * [taylor]: Taking taylor expansion of 2.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.692 * [taylor]: Taking taylor expansion of 0.5 in n 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.692 * [taylor]: Taking taylor expansion of 1.0 in n 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of 2.0 in n 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.696 * [taylor]: Taking taylor expansion of 0.5 in n 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.700 * [taylor]: Taking taylor expansion of 0.5 in k 0.700 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.700 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.700 * [taylor]: Taking taylor expansion of 2.0 in k 0.700 * [taylor]: Taking taylor expansion of PI in k 0.701 * [taylor]: Taking taylor expansion of (log n) in k 0.701 * [taylor]: Taking taylor expansion of n in k 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.701 * [taylor]: Taking taylor expansion of 1.0 in k 0.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.701 * [taylor]: Taking taylor expansion of k in k 0.711 * [taylor]: Taking taylor expansion of 0 in k 0.718 * [taylor]: Taking taylor expansion of 0 in k 0.727 * [taylor]: Taking taylor expansion of 0 in k 0.728 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.728 * [taylor]: Taking taylor expansion of 0.5 in k 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.728 * [taylor]: Taking taylor expansion of -2.0 in k 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.728 * [taylor]: Taking taylor expansion of PI in k 0.728 * [taylor]: Taking taylor expansion of n in k 0.729 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.729 * [taylor]: Taking taylor expansion of 0.5 in n 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.729 * [taylor]: Taking taylor expansion of k in n 0.729 * [taylor]: Taking taylor expansion of 1.0 in n 0.729 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.729 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.729 * [taylor]: Taking taylor expansion of -2.0 in n 0.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.733 * [taylor]: Taking taylor expansion of -2.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.733 * [taylor]: Taking taylor expansion of PI in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.737 * [taylor]: Taking taylor expansion of 0.5 in k 0.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.738 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.738 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.738 * [taylor]: Taking taylor expansion of -2.0 in k 0.738 * [taylor]: Taking taylor expansion of PI in k 0.739 * [taylor]: Taking taylor expansion of (log n) in k 0.739 * [taylor]: Taking taylor expansion of n in k 0.748 * [taylor]: Taking taylor expansion of 0 in k 0.761 * [taylor]: Taking taylor expansion of 0 in k 0.770 * [taylor]: Taking taylor expansion of 0 in k 0.771 * * * [progress]: simplifying candidates 0.773 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (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) 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PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (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)) (+ (- (* +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (- (- (+ (+ (* (* 0.125 (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)))))) 0.868 * * * [progress]: adding candidates to table 1.256 * * [progress]: iteration 2 / 4 1.256 * * * [progress]: picking best candidate 1.280 * * * * [pick]: Picked # 1.280 * * * [progress]: localizing error 1.303 * * * [progress]: generating rewritten candidates 1.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.312 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.335 * * * [progress]: generating series expansions 1.335 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.336 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.336 * [taylor]: Taking taylor expansion of 2.0 in n 1.336 * [taylor]: Taking taylor expansion of (* n PI) in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of PI in n 1.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.336 * [taylor]: Taking taylor expansion of 2.0 in n 1.336 * [taylor]: Taking taylor expansion of (* n PI) in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of PI in n 1.348 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.349 * [taylor]: Taking taylor expansion of 2.0 in n 1.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.349 * [taylor]: Taking taylor expansion of PI in n 1.349 * [taylor]: Taking taylor expansion of n in n 1.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.349 * [taylor]: Taking taylor expansion of 2.0 in n 1.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.349 * [taylor]: Taking taylor expansion of PI in n 1.349 * [taylor]: Taking taylor expansion of n in n 1.358 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.358 * [taylor]: Taking taylor expansion of -2.0 in n 1.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.358 * [taylor]: Taking taylor expansion of -2.0 in n 1.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.366 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.367 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.367 * [taylor]: Taking taylor expansion of 2.0 in n 1.367 * [taylor]: Taking taylor expansion of (* n PI) in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.367 * [taylor]: Taking taylor expansion of PI in n 1.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.367 * [taylor]: Taking taylor expansion of 2.0 in n 1.367 * [taylor]: Taking taylor expansion of (* n PI) in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.367 * [taylor]: Taking taylor expansion of PI in n 1.379 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.379 * [taylor]: Taking taylor expansion of 2.0 in n 1.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.379 * [taylor]: Taking taylor expansion of PI in n 1.379 * [taylor]: Taking taylor expansion of n in n 1.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.379 * [taylor]: Taking taylor expansion of 2.0 in n 1.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.379 * [taylor]: Taking taylor expansion of PI in n 1.379 * [taylor]: Taking taylor expansion of n in n 1.394 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.394 * [taylor]: Taking taylor expansion of -2.0 in n 1.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.394 * [taylor]: Taking taylor expansion of PI in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.395 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.395 * [taylor]: Taking taylor expansion of -2.0 in n 1.395 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.395 * [taylor]: Taking taylor expansion of PI in n 1.395 * [taylor]: Taking taylor expansion of n in n 1.403 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.405 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.405 * [taylor]: Taking taylor expansion of k in k 1.406 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.406 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.406 * [taylor]: Taking taylor expansion of 0.5 in k 1.406 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.406 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.406 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.406 * [taylor]: Taking taylor expansion of 1.0 in k 1.406 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.406 * [taylor]: Taking taylor expansion of 2.0 in k 1.408 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (log n) in k 1.408 * [taylor]: Taking taylor expansion of n in k 1.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (log PI) in k 1.408 * [taylor]: Taking taylor expansion of PI in k 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.414 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.414 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.414 * [taylor]: Taking taylor expansion of 0.5 in k 1.414 * [taylor]: Taking taylor expansion of k in k 1.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.414 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.414 * [taylor]: Taking taylor expansion of 2.0 in k 1.414 * [taylor]: Taking taylor expansion of (* n PI) in k 1.414 * [taylor]: Taking taylor expansion of n in k 1.414 * [taylor]: Taking taylor expansion of PI in k 1.417 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.417 * [taylor]: Taking taylor expansion of 1.0 in n 1.417 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.417 * [taylor]: Taking taylor expansion of k in n 1.417 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.417 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.417 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.417 * [taylor]: Taking taylor expansion of 0.5 in n 1.417 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.417 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.417 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.417 * [taylor]: Taking taylor expansion of 1.0 in n 1.417 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.417 * [taylor]: Taking taylor expansion of 2.0 in n 1.419 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.419 * [taylor]: Taking taylor expansion of 1.0 in n 1.419 * [taylor]: Taking taylor expansion of (log n) in n 1.419 * [taylor]: Taking taylor expansion of n in n 1.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.420 * [taylor]: Taking taylor expansion of 1.0 in n 1.420 * [taylor]: Taking taylor expansion of (log PI) in n 1.420 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.425 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.425 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.425 * [taylor]: Taking taylor expansion of 0.5 in n 1.425 * [taylor]: Taking taylor expansion of k in n 1.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.425 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.425 * [taylor]: Taking taylor expansion of 2.0 in n 1.425 * [taylor]: Taking taylor expansion of (* n PI) in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.431 * [taylor]: Taking taylor expansion of 1.0 in n 1.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.431 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.431 * [taylor]: Taking taylor expansion of k in n 1.431 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.432 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.432 * [taylor]: Taking taylor expansion of 0.5 in n 1.432 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.432 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.432 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.432 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.432 * [taylor]: Taking taylor expansion of 1.0 in n 1.432 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.432 * [taylor]: Taking taylor expansion of 2.0 in n 1.433 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.433 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.433 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.433 * [taylor]: Taking taylor expansion of 1.0 in n 1.433 * [taylor]: Taking taylor expansion of (log n) in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.434 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.434 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [taylor]: Taking taylor expansion of (log PI) in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.440 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.440 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.440 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.440 * [taylor]: Taking taylor expansion of 0.5 in n 1.440 * [taylor]: Taking taylor expansion of k in n 1.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.440 * [taylor]: Taking taylor expansion of 2.0 in n 1.440 * [taylor]: Taking taylor expansion of (* n PI) in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.440 * [taylor]: Taking taylor expansion of PI in n 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.451 * [taylor]: Taking taylor expansion of 1.0 in k 1.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.451 * [taylor]: Taking taylor expansion of k in k 1.452 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.452 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.452 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.452 * [taylor]: Taking taylor expansion of 0.5 in k 1.452 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.452 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.452 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of (log PI) in k 1.452 * [taylor]: Taking taylor expansion of PI in k 1.454 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.454 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.454 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (log n) in k 1.454 * [taylor]: Taking taylor expansion of n in k 1.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.454 * [taylor]: Taking taylor expansion of 2.0 in k 1.460 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.460 * [taylor]: Taking taylor expansion of 0.5 in k 1.460 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.460 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.460 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.460 * [taylor]: Taking taylor expansion of 2.0 in k 1.460 * [taylor]: Taking taylor expansion of PI in k 1.461 * [taylor]: Taking taylor expansion of (log n) in k 1.461 * [taylor]: Taking taylor expansion of n in k 1.496 * [taylor]: Taking taylor expansion of 0 in k 1.547 * [taylor]: Taking taylor expansion of 0 in k 1.644 * [taylor]: Taking taylor expansion of 0 in k 1.764 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.764 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.764 * [taylor]: Taking taylor expansion of 1.0 in k 1.764 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.764 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.764 * [taylor]: Taking taylor expansion of k in k 1.765 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.765 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.765 * [taylor]: Taking taylor expansion of 0.5 in k 1.765 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.765 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.765 * [taylor]: Taking taylor expansion of 1.0 in k 1.765 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.765 * [taylor]: Taking taylor expansion of 2.0 in k 1.767 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.767 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.767 * [taylor]: Taking taylor expansion of 1.0 in k 1.767 * [taylor]: Taking taylor expansion of (log PI) in k 1.767 * [taylor]: Taking taylor expansion of PI in k 1.769 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.769 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (log n) in k 1.769 * [taylor]: Taking taylor expansion of n in k 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.775 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.776 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.776 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.776 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.776 * [taylor]: Taking taylor expansion of 0.5 in k 1.776 * [taylor]: Taking taylor expansion of k in k 1.776 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.776 * [taylor]: Taking taylor expansion of 2.0 in k 1.776 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.776 * [taylor]: Taking taylor expansion of PI in k 1.776 * [taylor]: Taking taylor expansion of n in k 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.776 * [taylor]: Taking taylor expansion of 1.0 in n 1.776 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.776 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.776 * [taylor]: Taking taylor expansion of k in n 1.777 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.777 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.777 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.777 * [taylor]: Taking taylor expansion of 0.5 in n 1.777 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.777 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.777 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.777 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.777 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.777 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.777 * [taylor]: Taking taylor expansion of 1.0 in n 1.777 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.777 * [taylor]: Taking taylor expansion of 2.0 in n 1.780 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.780 * [taylor]: Taking taylor expansion of 1.0 in n 1.780 * [taylor]: Taking taylor expansion of (log PI) in n 1.780 * [taylor]: Taking taylor expansion of PI in n 1.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (log n) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.789 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.789 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.789 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.789 * [taylor]: Taking taylor expansion of 0.5 in n 1.789 * [taylor]: Taking taylor expansion of k in n 1.789 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.789 * [taylor]: Taking taylor expansion of 2.0 in n 1.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.789 * [taylor]: Taking taylor expansion of PI in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.793 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.793 * [taylor]: Taking taylor expansion of 1.0 in n 1.793 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.793 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.793 * [taylor]: Taking taylor expansion of k in n 1.793 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.793 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.793 * [taylor]: Taking taylor expansion of 0.5 in n 1.793 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.793 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.793 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.793 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.793 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.793 * [taylor]: Taking taylor expansion of 1.0 in n 1.793 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.793 * [taylor]: Taking taylor expansion of 2.0 in n 1.795 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.795 * [taylor]: Taking taylor expansion of 1.0 in n 1.795 * [taylor]: Taking taylor expansion of (log PI) in n 1.795 * [taylor]: Taking taylor expansion of PI in n 1.797 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log n) in n 1.797 * [taylor]: Taking taylor expansion of n in n 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.804 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.804 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.804 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.804 * [taylor]: Taking taylor expansion of 0.5 in n 1.804 * [taylor]: Taking taylor expansion of k in n 1.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.804 * [taylor]: Taking taylor expansion of 2.0 in n 1.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.804 * [taylor]: Taking taylor expansion of PI in n 1.804 * [taylor]: Taking taylor expansion of n in n 1.814 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.815 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.815 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.815 * [taylor]: Taking taylor expansion of k in k 1.816 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.816 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.816 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.816 * [taylor]: Taking taylor expansion of 0.5 in k 1.816 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.816 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.816 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.816 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (log PI) in k 1.816 * [taylor]: Taking taylor expansion of PI in k 1.818 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.818 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.818 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.818 * [taylor]: Taking taylor expansion of 1.0 in k 1.818 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.818 * [taylor]: Taking taylor expansion of 2.0 in k 1.826 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.826 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.826 * [taylor]: Taking taylor expansion of 1.0 in k 1.826 * [taylor]: Taking taylor expansion of (log n) in k 1.826 * [taylor]: Taking taylor expansion of n in k 1.832 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.832 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.832 * [taylor]: Taking taylor expansion of 0.5 in k 1.832 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.832 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.832 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.832 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.832 * [taylor]: Taking taylor expansion of 2.0 in k 1.832 * [taylor]: Taking taylor expansion of PI in k 1.833 * [taylor]: Taking taylor expansion of (log n) in k 1.833 * [taylor]: Taking taylor expansion of n in k 1.833 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of 0 in k 1.928 * [taylor]: Taking taylor expansion of 0 in k 2.011 * [taylor]: Taking taylor expansion of 0 in k 2.061 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.061 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.061 * [taylor]: Taking taylor expansion of 1.0 in k 2.061 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.061 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.061 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.061 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.061 * [taylor]: Taking taylor expansion of -1 in k 2.061 * [taylor]: Taking taylor expansion of k in k 2.063 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.063 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.063 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.063 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.063 * [taylor]: Taking taylor expansion of -0.5 in k 2.063 * [taylor]: Taking taylor expansion of k in k 2.063 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.063 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.063 * [taylor]: Taking taylor expansion of -2.0 in k 2.063 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.063 * [taylor]: Taking taylor expansion of PI in k 2.063 * [taylor]: Taking taylor expansion of n in k 2.064 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.064 * [taylor]: Taking taylor expansion of 0.5 in k 2.064 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.064 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.064 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.064 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.064 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.064 * [taylor]: Taking taylor expansion of 1.0 in k 2.064 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.064 * [taylor]: Taking taylor expansion of -2.0 in k 2.066 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.066 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.066 * [taylor]: Taking taylor expansion of 1.0 in k 2.066 * [taylor]: Taking taylor expansion of (log PI) in k 2.066 * [taylor]: Taking taylor expansion of PI in k 2.068 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.068 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.068 * [taylor]: Taking taylor expansion of 1.0 in k 2.068 * [taylor]: Taking taylor expansion of (log n) in k 2.068 * [taylor]: Taking taylor expansion of n in k 2.075 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.075 * [taylor]: Taking taylor expansion of 1.0 in n 2.075 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.075 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.075 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.075 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.075 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.075 * [taylor]: Taking taylor expansion of -1 in n 2.075 * [taylor]: Taking taylor expansion of k in n 2.075 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.075 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.075 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.075 * [taylor]: Taking taylor expansion of -0.5 in n 2.075 * [taylor]: Taking taylor expansion of k in n 2.075 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.075 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.075 * [taylor]: Taking taylor expansion of -2.0 in n 2.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.075 * [taylor]: Taking taylor expansion of PI in n 2.075 * [taylor]: Taking taylor expansion of n in n 2.086 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.086 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.086 * [taylor]: Taking taylor expansion of 0.5 in n 2.086 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.086 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.086 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.086 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.086 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.086 * [taylor]: Taking taylor expansion of 1.0 in n 2.086 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.086 * [taylor]: Taking taylor expansion of -2.0 in n 2.088 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.088 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.088 * [taylor]: Taking taylor expansion of 1.0 in n 2.088 * [taylor]: Taking taylor expansion of (log PI) in n 2.088 * [taylor]: Taking taylor expansion of PI in n 2.090 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.090 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.090 * [taylor]: Taking taylor expansion of 1.0 in n 2.090 * [taylor]: Taking taylor expansion of (log n) in n 2.090 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.097 * [taylor]: Taking taylor expansion of 1.0 in n 2.097 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.097 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.097 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.097 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.097 * [taylor]: Taking taylor expansion of -1 in n 2.097 * [taylor]: Taking taylor expansion of k in n 2.098 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.098 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.098 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.098 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.098 * [taylor]: Taking taylor expansion of -0.5 in n 2.098 * [taylor]: Taking taylor expansion of k in n 2.098 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.098 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.098 * [taylor]: Taking taylor expansion of -2.0 in n 2.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.098 * [taylor]: Taking taylor expansion of PI in n 2.098 * [taylor]: Taking taylor expansion of n in n 2.103 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.103 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.103 * [taylor]: Taking taylor expansion of 0.5 in n 2.103 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.103 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.103 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.103 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.103 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.103 * [taylor]: Taking taylor expansion of 1.0 in n 2.103 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.103 * [taylor]: Taking taylor expansion of -2.0 in n 2.105 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.105 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.105 * [taylor]: Taking taylor expansion of 1.0 in n 2.105 * [taylor]: Taking taylor expansion of (log PI) in n 2.105 * [taylor]: Taking taylor expansion of PI in n 2.106 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.107 * [taylor]: Taking taylor expansion of 1.0 in n 2.107 * [taylor]: Taking taylor expansion of (log n) in n 2.107 * [taylor]: Taking taylor expansion of n in n 2.117 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.118 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.118 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.118 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.118 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.118 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.118 * [taylor]: Taking taylor expansion of -0.5 in k 2.118 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.118 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.118 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.118 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.118 * [taylor]: Taking taylor expansion of -2.0 in k 2.118 * [taylor]: Taking taylor expansion of PI in k 2.119 * [taylor]: Taking taylor expansion of (log n) in k 2.119 * [taylor]: Taking taylor expansion of n in k 2.119 * [taylor]: Taking taylor expansion of k in k 2.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.121 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.121 * [taylor]: Taking taylor expansion of -1 in k 2.121 * [taylor]: Taking taylor expansion of k in k 2.125 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.125 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.125 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.125 * [taylor]: Taking taylor expansion of 0.5 in k 2.125 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.125 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.125 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.125 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.125 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.125 * [taylor]: Taking taylor expansion of 1.0 in k 2.125 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.125 * [taylor]: Taking taylor expansion of -2.0 in k 2.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.127 * [taylor]: Taking taylor expansion of 1.0 in k 2.127 * [taylor]: Taking taylor expansion of (log PI) in k 2.127 * [taylor]: Taking taylor expansion of PI in k 2.129 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.129 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.129 * [taylor]: Taking taylor expansion of 1.0 in k 2.129 * [taylor]: Taking taylor expansion of (log n) in k 2.129 * [taylor]: Taking taylor expansion of n in k 2.166 * [taylor]: Taking taylor expansion of 0 in k 2.232 * [taylor]: Taking taylor expansion of 0 in k 2.283 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.284 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.284 * [taylor]: Taking taylor expansion of 0.5 in n 2.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.284 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.284 * [taylor]: Taking taylor expansion of 2.0 in n 2.284 * [taylor]: Taking taylor expansion of (* n PI) in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.290 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.290 * [taylor]: Taking taylor expansion of 0.5 in n 2.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.290 * [taylor]: Taking taylor expansion of 2.0 in n 2.290 * [taylor]: Taking taylor expansion of (* n PI) in n 2.290 * [taylor]: Taking taylor expansion of n in n 2.290 * [taylor]: Taking taylor expansion of PI in n 2.372 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.372 * [taylor]: Taking taylor expansion of 0.5 in n 2.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.375 * [taylor]: Taking taylor expansion of 0.5 in n 2.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.375 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.375 * [taylor]: Taking taylor expansion of PI in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.455 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.455 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.455 * [taylor]: Taking taylor expansion of 0.5 in n 2.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.455 * [taylor]: Taking taylor expansion of -2.0 in n 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.459 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.459 * [taylor]: Taking taylor expansion of 0.5 in n 2.459 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.459 * [taylor]: Taking taylor expansion of -2.0 in n 2.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.538 * * * [progress]: simplifying candidates 2.540 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 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(/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.637 * * * [progress]: adding candidates to table 2.892 * * [progress]: iteration 3 / 4 2.892 * * * [progress]: picking best candidate 2.915 * * * * [pick]: Picked # 2.915 * * * [progress]: localizing error 2.937 * * * [progress]: generating rewritten candidates 2.937 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.946 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 2.952 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.961 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.979 * * * [progress]: generating series expansions 2.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.979 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.979 * [taylor]: Taking taylor expansion of 2.0 in n 2.979 * [taylor]: Taking taylor expansion of (* n PI) in n 2.979 * [taylor]: Taking taylor expansion of n in n 2.979 * [taylor]: Taking taylor expansion of PI in n 2.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.980 * [taylor]: Taking taylor expansion of (* n PI) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [taylor]: Taking taylor expansion of PI in n 2.992 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.992 * [taylor]: Taking taylor expansion of 2.0 in n 2.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.992 * [taylor]: Taking taylor expansion of PI in n 2.992 * [taylor]: Taking taylor expansion of n in n 2.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.992 * [taylor]: Taking taylor expansion of 2.0 in n 2.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.992 * [taylor]: Taking taylor expansion of PI in n 2.992 * [taylor]: Taking taylor expansion of n in n 3.001 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.001 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.001 * [taylor]: Taking taylor expansion of 2.0 in n 3.002 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.002 * [taylor]: Taking taylor expansion of PI in n 3.002 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.002 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.002 * [taylor]: Taking taylor expansion of -1 in n 3.002 * [taylor]: Taking taylor expansion of n in n 3.003 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.003 * [taylor]: Taking taylor expansion of 2.0 in n 3.003 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.003 * [taylor]: Taking taylor expansion of PI in n 3.003 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.003 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.003 * [taylor]: Taking taylor expansion of -1 in n 3.003 * [taylor]: Taking taylor expansion of n in n 3.023 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 3.023 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 3.023 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.023 * [taylor]: Taking taylor expansion of 2.0 in n 3.023 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.023 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.024 * [taylor]: Taking taylor expansion of PI in n 3.025 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.025 * [taylor]: Taking taylor expansion of 2.0 in n 3.025 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.025 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.025 * [taylor]: Taking taylor expansion of n in n 3.026 * [taylor]: Taking taylor expansion of PI in n 3.052 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 3.053 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.053 * [taylor]: Taking taylor expansion of 2.0 in n 3.053 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.053 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.053 * [taylor]: Taking taylor expansion of n in n 3.054 * [taylor]: Taking taylor expansion of PI in n 3.054 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.054 * [taylor]: Taking taylor expansion of 2.0 in n 3.054 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.054 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.054 * [taylor]: Taking taylor expansion of n in n 3.055 * [taylor]: Taking taylor expansion of PI in n 3.076 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 3.076 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.076 * [taylor]: Taking taylor expansion of 2.0 in n 3.076 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.076 * [taylor]: Taking taylor expansion of PI in n 3.076 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.077 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.077 * [taylor]: Taking taylor expansion of -1 in n 3.077 * [taylor]: Taking taylor expansion of n in n 3.078 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.078 * [taylor]: Taking taylor expansion of 2.0 in n 3.078 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.078 * [taylor]: Taking taylor expansion of PI in n 3.078 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.078 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.078 * [taylor]: Taking taylor expansion of -1 in n 3.078 * [taylor]: Taking taylor expansion of n in n 3.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.099 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.099 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.099 * [taylor]: Taking taylor expansion of 2.0 in n 3.099 * [taylor]: Taking taylor expansion of (* n PI) in n 3.099 * [taylor]: Taking taylor expansion of n in n 3.099 * [taylor]: Taking taylor expansion of PI in n 3.099 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.099 * [taylor]: Taking taylor expansion of 2.0 in n 3.099 * [taylor]: Taking taylor expansion of (* n PI) in n 3.099 * [taylor]: Taking taylor expansion of n in n 3.099 * [taylor]: Taking taylor expansion of PI in n 3.112 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of 2.0 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of 2.0 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.121 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of -2.0 in n 3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of -2.0 in n 3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.136 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.137 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.137 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 3.137 * [taylor]: Taking taylor expansion of 1.0 in k 3.137 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.137 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.137 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.137 * [taylor]: Taking taylor expansion of k in k 3.139 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.139 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.139 * [taylor]: Taking taylor expansion of 0.5 in k 3.139 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.139 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.139 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.139 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.139 * [taylor]: Taking taylor expansion of 1.0 in k 3.139 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.139 * [taylor]: Taking taylor expansion of 2.0 in k 3.141 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.141 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [taylor]: Taking taylor expansion of (log n) in k 3.141 * [taylor]: Taking taylor expansion of n in k 3.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [taylor]: Taking taylor expansion of (log PI) in k 3.141 * [taylor]: Taking taylor expansion of PI in k 3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.146 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.146 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.146 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.146 * [taylor]: Taking taylor expansion of 0.5 in k 3.146 * [taylor]: Taking taylor expansion of k in k 3.146 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.147 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.147 * [taylor]: Taking taylor expansion of 2.0 in k 3.147 * [taylor]: Taking taylor expansion of (* n PI) in k 3.147 * [taylor]: Taking taylor expansion of n in k 3.147 * [taylor]: Taking taylor expansion of PI in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.149 * [taylor]: Taking taylor expansion of 1.0 in n 3.149 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.150 * [taylor]: Taking taylor expansion of k in n 3.150 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.150 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.150 * [taylor]: Taking taylor expansion of 0.5 in n 3.150 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.150 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.150 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.150 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.150 * [taylor]: Taking taylor expansion of 1.0 in n 3.150 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.152 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.152 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.152 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.152 * [taylor]: Taking taylor expansion of 1.0 in n 3.152 * [taylor]: Taking taylor expansion of (log n) in n 3.152 * [taylor]: Taking taylor expansion of n in n 3.152 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.152 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.152 * [taylor]: Taking taylor expansion of 1.0 in n 3.152 * [taylor]: Taking taylor expansion of (log PI) in n 3.152 * [taylor]: Taking taylor expansion of PI in n 3.158 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.158 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.158 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.158 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.158 * [taylor]: Taking taylor expansion of 0.5 in n 3.158 * [taylor]: Taking taylor expansion of k in n 3.158 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.158 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.158 * [taylor]: Taking taylor expansion of 2.0 in n 3.158 * [taylor]: Taking taylor expansion of (* n PI) in n 3.158 * [taylor]: Taking taylor expansion of n in n 3.158 * [taylor]: Taking taylor expansion of PI in n 3.164 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.164 * [taylor]: Taking taylor expansion of 1.0 in n 3.164 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.164 * [taylor]: Taking taylor expansion of k in n 3.164 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.164 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.164 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.164 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.164 * [taylor]: Taking taylor expansion of 0.5 in n 3.164 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.164 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.164 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.164 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.164 * [taylor]: Taking taylor expansion of 1.0 in n 3.164 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.164 * [taylor]: Taking taylor expansion of 2.0 in n 3.166 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.166 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.166 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.166 * [taylor]: Taking taylor expansion of 1.0 in n 3.166 * [taylor]: Taking taylor expansion of (log n) in n 3.166 * [taylor]: Taking taylor expansion of n in n 3.167 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.167 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.167 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.167 * [taylor]: Taking taylor expansion of 1.0 in n 3.167 * [taylor]: Taking taylor expansion of (log PI) in n 3.167 * [taylor]: Taking taylor expansion of PI in n 3.172 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.172 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.172 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.172 * [taylor]: Taking taylor expansion of 0.5 in n 3.172 * [taylor]: Taking taylor expansion of k in n 3.172 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.172 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.172 * [taylor]: Taking taylor expansion of 2.0 in n 3.172 * [taylor]: Taking taylor expansion of (* n PI) in n 3.172 * [taylor]: Taking taylor expansion of n in n 3.172 * [taylor]: Taking taylor expansion of PI in n 3.183 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.183 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.185 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.185 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.185 * [taylor]: Taking taylor expansion of 0.5 in k 3.185 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.185 * [taylor]: Taking taylor expansion of 1.0 in k 3.185 * [taylor]: Taking taylor expansion of (log PI) in k 3.185 * [taylor]: Taking taylor expansion of PI in k 3.187 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.187 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.187 * [taylor]: Taking taylor expansion of 1.0 in k 3.187 * [taylor]: Taking taylor expansion of (log n) in k 3.187 * [taylor]: Taking taylor expansion of n in k 3.187 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.187 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.187 * [taylor]: Taking taylor expansion of 1.0 in k 3.187 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.187 * [taylor]: Taking taylor expansion of 2.0 in k 3.192 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.192 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.192 * [taylor]: Taking taylor expansion of 0.5 in k 3.192 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.192 * [taylor]: Taking taylor expansion of k in k 3.192 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.192 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.192 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.192 * [taylor]: Taking taylor expansion of 2.0 in k 3.192 * [taylor]: Taking taylor expansion of PI in k 3.193 * [taylor]: Taking taylor expansion of (log n) in k 3.193 * [taylor]: Taking taylor expansion of n in k 3.229 * [taylor]: Taking taylor expansion of 0 in k 3.279 * [taylor]: Taking taylor expansion of 0 in k 3.377 * [taylor]: Taking taylor expansion of 0 in k 3.503 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 3.503 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 3.503 * [taylor]: Taking taylor expansion of 1.0 in k 3.503 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.503 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.503 * [taylor]: Taking taylor expansion of k in k 3.504 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.504 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.504 * [taylor]: Taking taylor expansion of 0.5 in k 3.504 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.504 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.504 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.504 * [taylor]: Taking taylor expansion of 1.0 in k 3.504 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.504 * [taylor]: Taking taylor expansion of 2.0 in k 3.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.506 * [taylor]: Taking taylor expansion of 1.0 in k 3.506 * [taylor]: Taking taylor expansion of (log PI) in k 3.506 * [taylor]: Taking taylor expansion of PI in k 3.508 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.508 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.508 * [taylor]: Taking taylor expansion of 1.0 in k 3.508 * [taylor]: Taking taylor expansion of (log n) in k 3.508 * [taylor]: Taking taylor expansion of n in k 3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.515 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.515 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.515 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.515 * [taylor]: Taking taylor expansion of 0.5 in k 3.515 * [taylor]: Taking taylor expansion of k in k 3.515 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.515 * [taylor]: Taking taylor expansion of 2.0 in k 3.515 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.515 * [taylor]: Taking taylor expansion of PI in k 3.515 * [taylor]: Taking taylor expansion of n in k 3.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.516 * [taylor]: Taking taylor expansion of 1.0 in n 3.516 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.516 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.516 * [taylor]: Taking taylor expansion of k in n 3.516 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.516 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.516 * [taylor]: Taking taylor expansion of 0.5 in n 3.516 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.516 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.516 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.516 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.516 * [taylor]: Taking taylor expansion of 1.0 in n 3.516 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.516 * [taylor]: Taking taylor expansion of 2.0 in n 3.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.518 * [taylor]: Taking taylor expansion of 1.0 in n 3.518 * [taylor]: Taking taylor expansion of (log PI) in n 3.518 * [taylor]: Taking taylor expansion of PI in n 3.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.520 * [taylor]: Taking taylor expansion of 1.0 in n 3.520 * [taylor]: Taking taylor expansion of (log n) in n 3.520 * [taylor]: Taking taylor expansion of n in n 3.527 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.527 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.527 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.527 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.527 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.527 * [taylor]: Taking taylor expansion of 0.5 in n 3.527 * [taylor]: Taking taylor expansion of k in n 3.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.527 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.527 * [taylor]: Taking taylor expansion of 2.0 in n 3.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.527 * [taylor]: Taking taylor expansion of PI in n 3.527 * [taylor]: Taking taylor expansion of n in n 3.531 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.531 * [taylor]: Taking taylor expansion of 1.0 in n 3.531 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.531 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.531 * [taylor]: Taking taylor expansion of k in n 3.531 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.531 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.531 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.531 * [taylor]: Taking taylor expansion of 0.5 in n 3.531 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.531 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.531 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.531 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.531 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.531 * [taylor]: Taking taylor expansion of 1.0 in n 3.531 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.531 * [taylor]: Taking taylor expansion of 2.0 in n 3.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.533 * [taylor]: Taking taylor expansion of 1.0 in n 3.533 * [taylor]: Taking taylor expansion of (log PI) in n 3.533 * [taylor]: Taking taylor expansion of PI in n 3.535 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.535 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.535 * [taylor]: Taking taylor expansion of 1.0 in n 3.535 * [taylor]: Taking taylor expansion of (log n) in n 3.535 * [taylor]: Taking taylor expansion of n in n 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.542 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.542 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.542 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.542 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.542 * [taylor]: Taking taylor expansion of 0.5 in n 3.542 * [taylor]: Taking taylor expansion of k in n 3.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.542 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.542 * [taylor]: Taking taylor expansion of 2.0 in n 3.542 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.542 * [taylor]: Taking taylor expansion of PI in n 3.542 * [taylor]: Taking taylor expansion of n in n 3.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 3.553 * [taylor]: Taking taylor expansion of 1.0 in k 3.553 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.553 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.553 * [taylor]: Taking taylor expansion of k in k 3.554 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.554 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.554 * [taylor]: Taking taylor expansion of 0.5 in k 3.554 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.554 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.554 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [taylor]: Taking taylor expansion of (log PI) in k 3.554 * [taylor]: Taking taylor expansion of PI in k 3.556 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.556 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.556 * [taylor]: Taking taylor expansion of 1.0 in k 3.556 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.556 * [taylor]: Taking taylor expansion of 2.0 in k 3.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.558 * [taylor]: Taking taylor expansion of 1.0 in k 3.558 * [taylor]: Taking taylor expansion of (log n) in k 3.558 * [taylor]: Taking taylor expansion of n in k 3.571 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.571 * [taylor]: Taking taylor expansion of 0.5 in k 3.571 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.571 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.571 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.571 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.571 * [taylor]: Taking taylor expansion of 2.0 in k 3.571 * [taylor]: Taking taylor expansion of PI in k 3.573 * [taylor]: Taking taylor expansion of (log n) in k 3.573 * [taylor]: Taking taylor expansion of n in k 3.573 * [taylor]: Taking taylor expansion of k in k 3.606 * [taylor]: Taking taylor expansion of 0 in k 3.669 * [taylor]: Taking taylor expansion of 0 in k 3.751 * [taylor]: Taking taylor expansion of 0 in k 3.804 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (n k) around 0 3.804 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 3.804 * [taylor]: Taking taylor expansion of 1.0 in k 3.804 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 3.804 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 3.804 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 3.804 * [taylor]: Taking taylor expansion of 0.5 in k 3.804 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 3.804 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.804 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.804 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.804 * [taylor]: Taking taylor expansion of 1.0 in k 3.804 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.804 * [taylor]: Taking taylor expansion of 2.0 in k 3.806 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.806 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.806 * [taylor]: Taking taylor expansion of 1.0 in k 3.806 * [taylor]: Taking taylor expansion of (log PI) in k 3.806 * [taylor]: Taking taylor expansion of PI in k 3.820 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 3.820 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.820 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.820 * [taylor]: Taking taylor expansion of -1 in k 3.820 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.821 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.821 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.821 * [taylor]: Taking taylor expansion of -0.5 in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.822 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.822 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.822 * [taylor]: Taking taylor expansion of -2.0 in k 3.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.822 * [taylor]: Taking taylor expansion of PI in k 3.822 * [taylor]: Taking taylor expansion of n in k 3.823 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 3.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 3.823 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 3.823 * [taylor]: Taking taylor expansion of 1.0 in k 3.823 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 3.823 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 3.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 3.823 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 3.823 * [taylor]: Taking taylor expansion of 1.0 in k 3.823 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.823 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.823 * [taylor]: Taking taylor expansion of -1 in k 3.823 * [taylor]: Taking taylor expansion of n in k 3.823 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 3.824 * [taylor]: Taking taylor expansion of 1.0 in n 3.824 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 3.824 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 3.824 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 3.824 * [taylor]: Taking taylor expansion of 0.5 in n 3.824 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 3.824 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.824 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.824 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.824 * [taylor]: Taking taylor expansion of 1.0 in n 3.824 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.824 * [taylor]: Taking taylor expansion of 2.0 in n 3.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.832 * [taylor]: Taking taylor expansion of 1.0 in n 3.832 * [taylor]: Taking taylor expansion of (log PI) in n 3.832 * [taylor]: Taking taylor expansion of PI in n 3.846 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 3.846 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.846 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.846 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.846 * [taylor]: Taking taylor expansion of -1 in n 3.846 * [taylor]: Taking taylor expansion of k in n 3.846 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.846 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.846 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.846 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.846 * [taylor]: Taking taylor expansion of -0.5 in n 3.846 * [taylor]: Taking taylor expansion of k in n 3.846 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.846 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.846 * [taylor]: Taking taylor expansion of -2.0 in n 3.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.846 * [taylor]: Taking taylor expansion of PI in n 3.846 * [taylor]: Taking taylor expansion of n in n 3.851 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 3.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 3.851 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 3.851 * [taylor]: Taking taylor expansion of 1.0 in n 3.851 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 3.851 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 3.852 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 3.852 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 3.852 * [taylor]: Taking taylor expansion of 1.0 in n 3.852 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.852 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.852 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.852 * [taylor]: Taking taylor expansion of -1 in n 3.852 * [taylor]: Taking taylor expansion of n in n 3.858 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 3.858 * [taylor]: Taking taylor expansion of 1.0 in n 3.858 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 3.858 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 3.858 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 3.858 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 3.858 * [taylor]: Taking taylor expansion of 0.5 in n 3.858 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 3.858 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.858 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.858 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.858 * [taylor]: Taking taylor expansion of 1.0 in n 3.858 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.858 * [taylor]: Taking taylor expansion of 2.0 in n 3.860 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.860 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.860 * [taylor]: Taking taylor expansion of 1.0 in n 3.860 * [taylor]: Taking taylor expansion of (log PI) in n 3.860 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 3.874 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.874 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.874 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.874 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.874 * [taylor]: Taking taylor expansion of -1 in n 3.874 * [taylor]: Taking taylor expansion of k in n 3.874 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.874 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.874 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.874 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.874 * [taylor]: Taking taylor expansion of -0.5 in n 3.874 * [taylor]: Taking taylor expansion of k in n 3.874 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.874 * [taylor]: Taking taylor expansion of -2.0 in n 3.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.879 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 3.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 3.879 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 3.879 * [taylor]: Taking taylor expansion of 1.0 in n 3.879 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 3.879 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 3.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 3.879 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 3.879 * [taylor]: Taking taylor expansion of 1.0 in n 3.879 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.879 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.879 * [taylor]: Taking taylor expansion of -1 in n 3.879 * [taylor]: Taking taylor expansion of n in n 3.896 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0)))) in k 3.896 * [taylor]: Taking taylor expansion of 1.0 in k 3.896 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0))) in k 3.896 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.896 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.896 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.896 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.896 * [taylor]: Taking taylor expansion of -0.5 in k 3.896 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.896 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.896 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.896 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.896 * [taylor]: Taking taylor expansion of -2.0 in k 3.896 * [taylor]: Taking taylor expansion of PI in k 3.897 * [taylor]: Taking taylor expansion of (log n) in k 3.897 * [taylor]: Taking taylor expansion of n in k 3.897 * [taylor]: Taking taylor expansion of k in k 3.900 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.900 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.900 * [taylor]: Taking taylor expansion of -1 in k 3.900 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow +nan.0 1.0) 1.0)) in k 3.904 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 3.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.904 * [taylor]: Taking taylor expansion of 0.5 in k 3.904 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.904 * [taylor]: Taking taylor expansion of 1.0 in k 3.904 * [taylor]: Taking taylor expansion of (log PI) in k 3.904 * [taylor]: Taking taylor expansion of PI in k 3.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.906 * [taylor]: Taking taylor expansion of 1.0 in k 3.906 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.906 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [taylor]: Taking taylor expansion of (pow (pow +nan.0 1.0) 1.0) in k 4.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow +nan.0 1.0)))) in k 4.057 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow +nan.0 1.0))) in k 4.057 * [taylor]: Taking taylor expansion of 1.0 in k 4.057 * [taylor]: Taking taylor expansion of (log (pow +nan.0 1.0)) in k 4.057 * [taylor]: Taking taylor expansion of (pow +nan.0 1.0) in k 4.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log +nan.0))) in k 4.057 * [taylor]: Taking taylor expansion of (* 1.0 (log +nan.0)) in k 4.057 * [taylor]: Taking taylor expansion of 1.0 in k 4.057 * [taylor]: Taking taylor expansion of (log +nan.0) in k 4.057 * [taylor]: Taking taylor expansion of +nan.0 in k 4.136 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) in k 4.136 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in k 4.136 * [taylor]: Taking taylor expansion of +nan.0 in k 4.136 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in k 4.136 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.136 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.137 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.137 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.137 * [taylor]: Taking taylor expansion of -0.5 in k 4.137 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.137 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.137 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.137 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.137 * [taylor]: Taking taylor expansion of -2.0 in k 4.137 * [taylor]: Taking taylor expansion of PI in k 4.138 * [taylor]: Taking taylor expansion of (log n) in k 4.138 * [taylor]: Taking taylor expansion of n in k 4.138 * [taylor]: Taking taylor expansion of k in k 4.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.140 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.140 * [taylor]: Taking taylor expansion of -1 in k 4.140 * [taylor]: Taking taylor expansion of k in k 4.144 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 4.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 4.144 * [taylor]: Taking taylor expansion of 0.5 in k 4.144 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 4.144 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.144 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.144 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.144 * [taylor]: Taking taylor expansion of 1.0 in k 4.144 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.144 * [taylor]: Taking taylor expansion of 2.0 in k 4.146 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.146 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.146 * [taylor]: Taking taylor expansion of 1.0 in k 4.146 * [taylor]: Taking taylor expansion of (log PI) in k 4.146 * [taylor]: Taking taylor expansion of PI in k 4.218 * * * [progress]: simplifying candidates 4.221 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))) 4.231 * * [simplify]: iteration 0 : 1001 enodes (cost 1626 ) 4.247 * * [simplify]: iteration 1 : 4507 enodes (cost 1411 ) 4.323 * * [simplify]: iteration 2 : 5001 enodes (cost 1315 ) 4.329 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (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) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (+ (log (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (log (* (* 2.0 PI) n))) 2.0)) (pow (exp (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (* (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (- 1.0)) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* PI n) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (* +nan.0 (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) 4.330 * * * [progress]: adding candidates to table 4.571 * * [progress]: iteration 4 / 4 4.571 * * * [progress]: picking best candidate 4.593 * * * * [pick]: Picked # 4.593 * * * [progress]: localizing error 4.616 * * * [progress]: generating rewritten candidates 4.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.628 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 4.633 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.638 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.655 * * * [progress]: generating series expansions 4.655 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.657 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 4.657 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.657 * [taylor]: Taking taylor expansion of 1.0 in k 4.657 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.657 * [taylor]: Taking taylor expansion of k in k 4.658 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.658 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.658 * [taylor]: Taking taylor expansion of 0.5 in k 4.658 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.658 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.658 * [taylor]: Taking taylor expansion of 1.0 in k 4.658 * [taylor]: Taking taylor expansion of (log PI) in k 4.658 * [taylor]: Taking taylor expansion of PI in k 4.660 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.660 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.660 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.660 * [taylor]: Taking taylor expansion of 1.0 in k 4.660 * [taylor]: Taking taylor expansion of (log n) in k 4.660 * [taylor]: Taking taylor expansion of n in k 4.661 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.661 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.661 * [taylor]: Taking taylor expansion of 1.0 in k 4.661 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.661 * [taylor]: Taking taylor expansion of 2.0 in k 4.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.666 * [taylor]: Taking taylor expansion of 1.0 in n 4.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.666 * [taylor]: Taking taylor expansion of k in n 4.666 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.666 * [taylor]: Taking taylor expansion of 0.5 in n 4.666 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.666 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.666 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.666 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.666 * [taylor]: Taking taylor expansion of 1.0 in n 4.666 * [taylor]: Taking taylor expansion of (log PI) in n 4.666 * [taylor]: Taking taylor expansion of PI in n 4.668 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.668 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.668 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.668 * [taylor]: Taking taylor expansion of 1.0 in n 4.668 * [taylor]: Taking taylor expansion of (log n) in n 4.668 * [taylor]: Taking taylor expansion of n in n 4.669 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.669 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.669 * [taylor]: Taking taylor expansion of 1.0 in n 4.669 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.669 * [taylor]: Taking taylor expansion of 2.0 in n 4.674 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.674 * [taylor]: Taking taylor expansion of 1.0 in n 4.674 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.674 * [taylor]: Taking taylor expansion of k in n 4.675 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.675 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.675 * [taylor]: Taking taylor expansion of 0.5 in n 4.675 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.675 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.675 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.675 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.675 * [taylor]: Taking taylor expansion of 1.0 in n 4.675 * [taylor]: Taking taylor expansion of (log PI) in n 4.675 * [taylor]: Taking taylor expansion of PI in n 4.677 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.677 * [taylor]: Taking taylor expansion of 1.0 in n 4.677 * [taylor]: Taking taylor expansion of (log n) in n 4.677 * [taylor]: Taking taylor expansion of n in n 4.677 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.677 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.677 * [taylor]: Taking taylor expansion of 1.0 in n 4.677 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.677 * [taylor]: Taking taylor expansion of 2.0 in n 4.685 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in k 4.685 * [taylor]: Taking taylor expansion of 1.0 in k 4.685 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.685 * [taylor]: Taking taylor expansion of k in k 4.686 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.686 * [taylor]: Taking taylor expansion of 0.5 in k 4.686 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.686 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.686 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.686 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.686 * [taylor]: Taking taylor expansion of 1.0 in k 4.686 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.686 * [taylor]: Taking taylor expansion of 2.0 in k 4.688 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.688 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.688 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.688 * [taylor]: Taking taylor expansion of 1.0 in k 4.688 * [taylor]: Taking taylor expansion of (log n) in k 4.688 * [taylor]: Taking taylor expansion of n in k 4.688 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.688 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.688 * [taylor]: Taking taylor expansion of 1.0 in k 4.688 * [taylor]: Taking taylor expansion of (log PI) in k 4.688 * [taylor]: Taking taylor expansion of PI in k 4.714 * [taylor]: Taking taylor expansion of 0 in k 4.747 * [taylor]: Taking taylor expansion of 0 in k 4.798 * [taylor]: Taking taylor expansion of 0 in k 4.833 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.833 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 4.833 * [taylor]: Taking taylor expansion of 1.0 in k 4.833 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.833 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.833 * [taylor]: Taking taylor expansion of k in k 4.834 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.834 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.834 * [taylor]: Taking taylor expansion of 0.5 in k 4.834 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.834 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.834 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.834 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.834 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.834 * [taylor]: Taking taylor expansion of 1.0 in k 4.834 * [taylor]: Taking taylor expansion of (log PI) in k 4.834 * [taylor]: Taking taylor expansion of PI in k 4.836 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.836 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.836 * [taylor]: Taking taylor expansion of 1.0 in k 4.836 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.836 * [taylor]: Taking taylor expansion of 2.0 in k 4.838 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.838 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.838 * [taylor]: Taking taylor expansion of 1.0 in k 4.838 * [taylor]: Taking taylor expansion of (log n) in k 4.838 * [taylor]: Taking taylor expansion of n in k 4.844 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.844 * [taylor]: Taking taylor expansion of 1.0 in n 4.845 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.845 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.845 * [taylor]: Taking taylor expansion of k in n 4.845 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.845 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.845 * [taylor]: Taking taylor expansion of 0.5 in n 4.845 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.845 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.845 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.845 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.845 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.845 * [taylor]: Taking taylor expansion of 1.0 in n 4.845 * [taylor]: Taking taylor expansion of (log PI) in n 4.845 * [taylor]: Taking taylor expansion of PI in n 4.847 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.847 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.847 * [taylor]: Taking taylor expansion of 1.0 in n 4.847 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.847 * [taylor]: Taking taylor expansion of 2.0 in n 4.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.849 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.849 * [taylor]: Taking taylor expansion of 1.0 in n 4.849 * [taylor]: Taking taylor expansion of (log n) in n 4.849 * [taylor]: Taking taylor expansion of n in n 4.856 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.856 * [taylor]: Taking taylor expansion of 1.0 in n 4.856 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.856 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.856 * [taylor]: Taking taylor expansion of k in n 4.856 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.856 * [taylor]: Taking taylor expansion of 0.5 in n 4.857 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.857 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.857 * [taylor]: Taking taylor expansion of 1.0 in n 4.857 * [taylor]: Taking taylor expansion of (log PI) in n 4.857 * [taylor]: Taking taylor expansion of PI in n 4.858 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.859 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.859 * [taylor]: Taking taylor expansion of 1.0 in n 4.859 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.859 * [taylor]: Taking taylor expansion of 2.0 in n 4.860 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.860 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.860 * [taylor]: Taking taylor expansion of 1.0 in n 4.860 * [taylor]: Taking taylor expansion of (log n) in n 4.860 * [taylor]: Taking taylor expansion of n in n 4.876 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 4.876 * [taylor]: Taking taylor expansion of 1.0 in k 4.876 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.876 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.876 * [taylor]: Taking taylor expansion of k in k 4.877 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.877 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.877 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.877 * [taylor]: Taking taylor expansion of 0.5 in k 4.877 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.877 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.877 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.877 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.877 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.877 * [taylor]: Taking taylor expansion of 1.0 in k 4.877 * [taylor]: Taking taylor expansion of (log PI) in k 4.877 * [taylor]: Taking taylor expansion of PI in k 4.879 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.879 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.879 * [taylor]: Taking taylor expansion of 1.0 in k 4.879 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.879 * [taylor]: Taking taylor expansion of 2.0 in k 4.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [taylor]: Taking taylor expansion of (log n) in k 4.881 * [taylor]: Taking taylor expansion of n in k 4.905 * [taylor]: Taking taylor expansion of 0 in k 4.943 * [taylor]: Taking taylor expansion of 0 in k 5.003 * [taylor]: Taking taylor expansion of 0 in k 5.048 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 5.048 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.048 * [taylor]: Taking taylor expansion of 1.0 in k 5.048 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.048 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.048 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.048 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.048 * [taylor]: Taking taylor expansion of -1 in k 5.048 * [taylor]: Taking taylor expansion of k in k 5.050 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.050 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.050 * [taylor]: Taking taylor expansion of 0.5 in k 5.050 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.050 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.050 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.050 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.050 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.050 * [taylor]: Taking taylor expansion of 1.0 in k 5.050 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.050 * [taylor]: Taking taylor expansion of -2.0 in k 5.052 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.052 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.052 * [taylor]: Taking taylor expansion of 1.0 in k 5.052 * [taylor]: Taking taylor expansion of (log PI) in k 5.052 * [taylor]: Taking taylor expansion of PI in k 5.054 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.054 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.054 * [taylor]: Taking taylor expansion of 1.0 in k 5.054 * [taylor]: Taking taylor expansion of (log n) in k 5.054 * [taylor]: Taking taylor expansion of n in k 5.060 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.061 * [taylor]: Taking taylor expansion of 1.0 in n 5.061 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.061 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.061 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.061 * [taylor]: Taking taylor expansion of -1 in n 5.061 * [taylor]: Taking taylor expansion of k in n 5.061 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.061 * [taylor]: Taking taylor expansion of 0.5 in n 5.061 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.061 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.061 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.061 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.061 * [taylor]: Taking taylor expansion of 1.0 in n 5.061 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.061 * [taylor]: Taking taylor expansion of -2.0 in n 5.063 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.063 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.063 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.063 * [taylor]: Taking taylor expansion of 1.0 in n 5.063 * [taylor]: Taking taylor expansion of (log PI) in n 5.063 * [taylor]: Taking taylor expansion of PI in n 5.065 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.065 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.065 * [taylor]: Taking taylor expansion of 1.0 in n 5.065 * [taylor]: Taking taylor expansion of (log n) in n 5.065 * [taylor]: Taking taylor expansion of n in n 5.072 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.072 * [taylor]: Taking taylor expansion of 1.0 in n 5.072 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.072 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.072 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.072 * [taylor]: Taking taylor expansion of -1 in n 5.072 * [taylor]: Taking taylor expansion of k in n 5.072 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.072 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.072 * [taylor]: Taking taylor expansion of 0.5 in n 5.072 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.072 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.072 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.072 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.072 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.072 * [taylor]: Taking taylor expansion of 1.0 in n 5.072 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.072 * [taylor]: Taking taylor expansion of -2.0 in n 5.074 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.074 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.074 * [taylor]: Taking taylor expansion of 1.0 in n 5.074 * [taylor]: Taking taylor expansion of (log PI) in n 5.074 * [taylor]: Taking taylor expansion of PI in n 5.076 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.076 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.076 * [taylor]: Taking taylor expansion of 1.0 in n 5.076 * [taylor]: Taking taylor expansion of (log n) in n 5.076 * [taylor]: Taking taylor expansion of n in n 5.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.086 * [taylor]: Taking taylor expansion of 1.0 in k 5.086 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.086 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.086 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.086 * [taylor]: Taking taylor expansion of -1 in k 5.086 * [taylor]: Taking taylor expansion of k in k 5.088 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.088 * [taylor]: Taking taylor expansion of 0.5 in k 5.088 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.088 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.088 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.088 * [taylor]: Taking taylor expansion of -2.0 in k 5.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.090 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.090 * [taylor]: Taking taylor expansion of 1.0 in k 5.090 * [taylor]: Taking taylor expansion of (log PI) in k 5.090 * [taylor]: Taking taylor expansion of PI in k 5.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.092 * [taylor]: Taking taylor expansion of 1.0 in k 5.092 * [taylor]: Taking taylor expansion of (log n) in k 5.092 * [taylor]: Taking taylor expansion of n in k 5.118 * [taylor]: Taking taylor expansion of 0 in k 5.167 * [taylor]: Taking taylor expansion of 0 in k 5.201 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.201 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.201 * [taylor]: Taking taylor expansion of 2.0 in n 5.202 * [taylor]: Taking taylor expansion of (* n PI) in n 5.202 * [taylor]: Taking taylor expansion of n in n 5.202 * [taylor]: Taking taylor expansion of PI in n 5.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.202 * [taylor]: Taking taylor expansion of 2.0 in n 5.202 * [taylor]: Taking taylor expansion of (* n PI) in n 5.202 * [taylor]: Taking taylor expansion of n in n 5.202 * [taylor]: Taking taylor expansion of PI in n 5.219 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.220 * [taylor]: Taking taylor expansion of 2.0 in n 5.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.220 * [taylor]: Taking taylor expansion of PI in n 5.220 * [taylor]: Taking taylor expansion of n in n 5.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.220 * [taylor]: Taking taylor expansion of 2.0 in n 5.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.220 * [taylor]: Taking taylor expansion of PI in n 5.220 * [taylor]: Taking taylor expansion of n in n 5.229 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.229 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.229 * [taylor]: Taking taylor expansion of -2.0 in n 5.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.229 * [taylor]: Taking taylor expansion of PI in n 5.229 * [taylor]: Taking taylor expansion of n in n 5.230 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.230 * [taylor]: Taking taylor expansion of -2.0 in n 5.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.230 * [taylor]: Taking taylor expansion of PI in n 5.230 * [taylor]: Taking taylor expansion of n in n 5.238 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.238 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.238 * [taylor]: Taking taylor expansion of 2.0 in n 5.239 * [taylor]: Taking taylor expansion of (* n PI) in n 5.239 * [taylor]: Taking taylor expansion of n in n 5.239 * [taylor]: Taking taylor expansion of PI in n 5.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.239 * [taylor]: Taking taylor expansion of 2.0 in n 5.239 * [taylor]: Taking taylor expansion of (* n PI) in n 5.239 * [taylor]: Taking taylor expansion of n in n 5.239 * [taylor]: Taking taylor expansion of PI in n 5.251 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.251 * [taylor]: Taking taylor expansion of 2.0 in n 5.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.251 * [taylor]: Taking taylor expansion of PI in n 5.251 * [taylor]: Taking taylor expansion of n in n 5.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.251 * [taylor]: Taking taylor expansion of 2.0 in n 5.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.251 * [taylor]: Taking taylor expansion of PI in n 5.251 * [taylor]: Taking taylor expansion of n in n 5.260 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.260 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.260 * [taylor]: Taking taylor expansion of -2.0 in n 5.260 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.260 * [taylor]: Taking taylor expansion of PI in n 5.260 * [taylor]: Taking taylor expansion of n in n 5.261 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.261 * [taylor]: Taking taylor expansion of -2.0 in n 5.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.261 * [taylor]: Taking taylor expansion of PI in n 5.261 * [taylor]: Taking taylor expansion of n in n 5.269 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.271 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.271 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.271 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.271 * [taylor]: Taking taylor expansion of 0.5 in n 5.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.271 * [taylor]: Taking taylor expansion of 2.0 in n 5.271 * [taylor]: Taking taylor expansion of (* n PI) in n 5.271 * [taylor]: Taking taylor expansion of n in n 5.271 * [taylor]: Taking taylor expansion of PI in n 5.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.276 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.276 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.276 * [taylor]: Taking taylor expansion of 0.5 in n 5.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.276 * [taylor]: Taking taylor expansion of 2.0 in n 5.276 * [taylor]: Taking taylor expansion of (* n PI) in n 5.276 * [taylor]: Taking taylor expansion of n in n 5.276 * [taylor]: Taking taylor expansion of PI in n 5.361 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.361 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.361 * [taylor]: Taking taylor expansion of 0.5 in n 5.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.361 * [taylor]: Taking taylor expansion of 2.0 in n 5.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.361 * [taylor]: Taking taylor expansion of PI in n 5.361 * [taylor]: Taking taylor expansion of n in n 5.364 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.364 * [taylor]: Taking taylor expansion of 0.5 in n 5.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.364 * [taylor]: Taking taylor expansion of 2.0 in n 5.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.364 * [taylor]: Taking taylor expansion of PI in n 5.364 * [taylor]: Taking taylor expansion of n in n 5.445 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.445 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.445 * [taylor]: Taking taylor expansion of 0.5 in n 5.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.445 * [taylor]: Taking taylor expansion of -2.0 in n 5.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.445 * [taylor]: Taking taylor expansion of PI in n 5.445 * [taylor]: Taking taylor expansion of n in n 5.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.449 * [taylor]: Taking taylor expansion of 0.5 in n 5.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.449 * [taylor]: Taking taylor expansion of -2.0 in n 5.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.449 * [taylor]: Taking taylor expansion of PI in n 5.449 * [taylor]: Taking taylor expansion of n in n 5.528 * * * [progress]: simplifying candidates 5.539 * [simplify]: Simplifying using # : (- (* (+ (+ (log 2.0) (log PI)) (log n)) (* 2 (/ (/ 1.0 2.0) 2))) (- (log (sqrt k)) (log 1.0))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (* 2 (/ (/ 1.0 2.0) 2))) (log (/ (sqrt k) 1.0))) (- (* (+ (log (* 2.0 PI)) (log n)) (* 2 (/ (/ 1.0 2.0) 2))) (- (log (sqrt k)) (log 1.0))) (- (* (+ (log (* 2.0 PI)) (log n)) (* 2 (/ (/ 1.0 2.0) 2))) (log (/ (sqrt k) 1.0))) (- (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (- (log (sqrt k)) (log 1.0))) (- (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (log (/ (sqrt k) 1.0))) (- (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (- (log (sqrt k)) (log 1.0))) (- (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (log (/ (sqrt k) 1.0))) (- (log (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (- (log (sqrt k)) (log 1.0))) (- (log (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (log (/ (sqrt k) 1.0))) (log (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (exp (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (/ (* (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* 1.0 1.0) 1.0))) (/ (* (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (* (* (/ (sqrt k) 1.0) (/ (sqrt k) 1.0)) (/ (sqrt k) 1.0))) (* (cbrt (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (cbrt (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)))) (cbrt (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (* (* (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (sqrt (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (sqrt (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0))) (- (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (- (/ (sqrt k) 1.0)) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (* (cbrt (/ (sqrt k) 1.0)) (cbrt (/ (sqrt k) 1.0)))) (/ (pow n (* 2 (/ (/ 1.0 2.0) 2))) (cbrt (/ (sqrt k) 1.0))) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (sqrt (/ (sqrt k) 1.0))) (/ (pow n (* 2 (/ (/ 1.0 2.0) 2))) (sqrt (/ (sqrt k) 1.0))) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)))) (/ (pow n (* 2 (/ (/ 1.0 2.0) 2))) (/ (cbrt (sqrt k)) (cbrt 1.0))) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt 1.0))) (/ (pow n (* 2 (/ (/ 1.0 2.0) 2))) (/ (cbrt (sqrt k)) (sqrt 1.0))) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow n (* 2 (/ (/ 1.0 2.0) 2))) (/ (cbrt (sqrt k)) 1.0)) (/ (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ 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(/ (/ 1.0 2.0) 2))) (sqrt k)) (/ (/ (sqrt k) 1.0) (pow n (* 2 (/ (/ 1.0 2.0) 2)))) (/ (/ (sqrt k) 1.0) (cbrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))))) (/ (/ (sqrt k) 1.0) (sqrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))))) (/ (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (/ (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ (* 2 (/ (/ 1.0 2.0) 2)) 2))) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (sqrt k)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 1/2) (pow (* 2.0 (* n PI)) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 1/2) (pow (* 2.0 (* n PI)) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (* 2 (/ (/ 1.0 2.0) 2)) (* 2 (/ (/ 1.0 2.0) 2)) (* 2 (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) 2) (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (pow n (* 2 (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (* 2 (/ (/ 1.0 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (* (cbrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))))) (cbrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (sqrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (sqrt (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (* 2 (/ (/ 1.0 2.0) 2)) 2)) (pow (* (* 2.0 PI) n) (/ (* 2 (/ (/ 1.0 2.0) 2)) 2)) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 (pow k 3)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 5.652 * * * [progress]: adding candidates to table 6.284 * [progress]: [Phase 3 of 3] Extracting. 6.284 * * [regime]: Finding splitpoints for: (# # # # # # # #) 6.287 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.287 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 6.325 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 6.365 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 6.400 * * * [regime]: Found split indices: #