16.083 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.158 * * * [progress]: [2/2] Setting up program. 0.162 * [progress]: [Phase 2 of 3] Improving. 0.163 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.168 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.169 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.170 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.172 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.178 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.201 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.201 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.202 * * [progress]: iteration 1 / 4 0.202 * * * [progress]: picking best candidate 0.206 * * * * [pick]: Picked # 0.206 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.253 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.254 * [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 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.254 * [taylor]: Taking taylor expansion of 1.0 in n 0.254 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.254 * [taylor]: Taking taylor expansion of k in n 0.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.254 * [taylor]: Taking taylor expansion of 0.5 in n 0.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.254 * [taylor]: Taking taylor expansion of 1.0 in n 0.254 * [taylor]: Taking taylor expansion of k in n 0.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.254 * [taylor]: Taking taylor expansion of 2.0 in n 0.254 * [taylor]: Taking taylor expansion of (* n PI) in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.254 * [taylor]: Taking taylor expansion of PI in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.260 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.260 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.260 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.260 * [taylor]: Taking taylor expansion of k in k 0.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.262 * [taylor]: Taking taylor expansion of 0.5 in k 0.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.262 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.262 * [taylor]: Taking taylor expansion of 2.0 in k 0.262 * [taylor]: Taking taylor expansion of (* n PI) in k 0.262 * [taylor]: Taking taylor expansion of n in k 0.262 * [taylor]: Taking taylor expansion of PI in k 0.263 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.263 * [taylor]: Taking taylor expansion of 1.0 in k 0.263 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.263 * [taylor]: Taking taylor expansion of k in k 0.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.264 * [taylor]: Taking taylor expansion of 0.5 in k 0.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.264 * [taylor]: Taking taylor expansion of 1.0 in k 0.264 * [taylor]: Taking taylor expansion of k in k 0.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.264 * [taylor]: Taking taylor expansion of 2.0 in k 0.264 * [taylor]: Taking taylor expansion of (* n PI) in k 0.264 * [taylor]: Taking taylor expansion of n in k 0.264 * [taylor]: Taking taylor expansion of PI in k 0.266 * [taylor]: Taking taylor expansion of 0 in n 0.271 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.271 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.271 * [taylor]: Taking taylor expansion of NAN in n 0.271 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.271 * [taylor]: Taking taylor expansion of 0.5 in n 0.271 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.271 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.272 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of (log PI) in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.273 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (log n) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.274 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.298 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.299 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.299 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.301 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.301 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.301 * [taylor]: Taking taylor expansion of 1.0 in n 0.301 * [taylor]: Taking taylor expansion of (log n) in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.301 * [taylor]: Taking taylor expansion of 1.0 in n 0.301 * [taylor]: Taking taylor expansion of (log PI) in n 0.301 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.307 * [taylor]: Taking taylor expansion of NAN in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.307 * [taylor]: Taking taylor expansion of 0.5 in n 0.307 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.307 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.307 * [taylor]: Taking taylor expansion of 2.0 in n 0.307 * [taylor]: Taking taylor expansion of (* n PI) in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of NAN in n 0.310 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.310 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.310 * [taylor]: Taking taylor expansion of 2.0 in n 0.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log n) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log PI) in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.370 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.370 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.370 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.370 * [taylor]: Taking taylor expansion of 0.125 in n 0.370 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.370 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.371 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.371 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [taylor]: Taking taylor expansion of (* n PI) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of PI in n 0.375 * [taylor]: Taking taylor expansion of NAN in n 0.375 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.375 * [taylor]: Taking taylor expansion of 0.5 in n 0.375 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.375 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.375 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.375 * [taylor]: Taking taylor expansion of 1.0 in n 0.375 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.375 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.380 * [taylor]: Taking taylor expansion of 1.0 in n 0.380 * [taylor]: Taking taylor expansion of (log n) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.381 * [taylor]: Taking taylor expansion of 1.0 in n 0.381 * [taylor]: Taking taylor expansion of (log PI) in n 0.381 * [taylor]: Taking taylor expansion of PI in n 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.387 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.387 * [taylor]: Taking taylor expansion of 0.5 in n 0.387 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.387 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.387 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (log n) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (log PI) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.395 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.395 * [taylor]: Taking taylor expansion of NAN in n 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.395 * [taylor]: Taking taylor expansion of 0.5 in n 0.395 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.395 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.395 * [taylor]: Taking taylor expansion of 2.0 in n 0.395 * [taylor]: Taking taylor expansion of (* n PI) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.398 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.398 * [taylor]: Taking taylor expansion of NAN in n 0.398 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.398 * [taylor]: Taking taylor expansion of 0.5 in n 0.398 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.398 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.398 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.398 * [taylor]: Taking taylor expansion of 1.0 in n 0.398 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.398 * [taylor]: Taking taylor expansion of 2.0 in n 0.400 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.400 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (log n) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.401 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.401 * [taylor]: Taking taylor expansion of 1.0 in n 0.401 * [taylor]: Taking taylor expansion of (log PI) in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.471 * [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 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.472 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.472 * [taylor]: Taking taylor expansion of k in n 0.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.472 * [taylor]: Taking taylor expansion of 0.5 in n 0.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.472 * [taylor]: Taking taylor expansion of k in n 0.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.472 * [taylor]: Taking taylor expansion of 2.0 in n 0.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.472 * [taylor]: Taking taylor expansion of PI in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.476 * [taylor]: Taking taylor expansion of 1.0 in k 0.476 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.476 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.476 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.477 * [taylor]: Taking taylor expansion of 0.5 in k 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.477 * [taylor]: Taking taylor expansion of 1.0 in k 0.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.477 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.477 * [taylor]: Taking taylor expansion of 2.0 in k 0.477 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.477 * [taylor]: Taking taylor expansion of PI in k 0.477 * [taylor]: Taking taylor expansion of n in k 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.478 * [taylor]: Taking taylor expansion of 1.0 in k 0.478 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.479 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.479 * [taylor]: Taking taylor expansion of k in k 0.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.480 * [taylor]: Taking taylor expansion of 0.5 in k 0.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.480 * [taylor]: Taking taylor expansion of 1.0 in k 0.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.480 * [taylor]: Taking taylor expansion of k in k 0.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.480 * [taylor]: Taking taylor expansion of 2.0 in k 0.480 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.480 * [taylor]: Taking taylor expansion of PI in k 0.480 * [taylor]: Taking taylor expansion of n in k 0.482 * [taylor]: Taking taylor expansion of 0 in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.483 * [taylor]: Taking taylor expansion of NAN in n 0.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.483 * [taylor]: Taking taylor expansion of 0.5 in n 0.483 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.483 * [taylor]: Taking taylor expansion of 2.0 in n 0.483 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.483 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.484 * [taylor]: Taking taylor expansion of 1.0 in n 0.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.484 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.494 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.494 * [taylor]: Taking taylor expansion of NAN in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.494 * [taylor]: Taking taylor expansion of PI in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.495 * [taylor]: Taking taylor expansion of k in n 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.518 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.518 * [taylor]: Taking taylor expansion of NAN in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.518 * [taylor]: Taking taylor expansion of 0.5 in n 0.518 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.518 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.518 * [taylor]: Taking taylor expansion of 2.0 in n 0.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.518 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.520 * [taylor]: Taking taylor expansion of k in n 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.532 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.532 * [taylor]: Taking taylor expansion of k in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.532 * [taylor]: Taking taylor expansion of -2.0 in n 0.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.536 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.536 * [taylor]: Taking taylor expansion of -1 in n 0.536 * [taylor]: Taking taylor expansion of k in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.537 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.537 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.537 * [taylor]: Taking taylor expansion of 0.5 in k 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.537 * [taylor]: Taking taylor expansion of k in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.538 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.538 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.538 * [taylor]: Taking taylor expansion of -2.0 in k 0.538 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.538 * [taylor]: Taking taylor expansion of PI in k 0.538 * [taylor]: Taking taylor expansion of n in k 0.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.538 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.538 * [taylor]: Taking taylor expansion of -1 in k 0.538 * [taylor]: Taking taylor expansion of k in k 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.540 * [taylor]: Taking taylor expansion of 1.0 in k 0.540 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.540 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.540 * [taylor]: Taking taylor expansion of 0.5 in k 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.540 * [taylor]: Taking taylor expansion of k in k 0.540 * [taylor]: Taking taylor expansion of 1.0 in k 0.540 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.540 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.540 * [taylor]: Taking taylor expansion of -2.0 in k 0.540 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.540 * [taylor]: Taking taylor expansion of PI in k 0.540 * [taylor]: Taking taylor expansion of n in k 0.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.541 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.541 * [taylor]: Taking taylor expansion of -1 in k 0.541 * [taylor]: Taking taylor expansion of k in k 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.543 * [taylor]: Taking taylor expansion of 0.5 in n 0.543 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.543 * [taylor]: Taking taylor expansion of k in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.543 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.543 * [taylor]: Taking taylor expansion of -2.0 in n 0.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.548 * [taylor]: Taking taylor expansion of NAN in n 0.555 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.555 * [taylor]: Taking taylor expansion of 0.5 in n 0.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.555 * [taylor]: Taking taylor expansion of k in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.555 * [taylor]: Taking taylor expansion of -2.0 in n 0.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.555 * [taylor]: Taking taylor expansion of PI in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.563 * [taylor]: Taking taylor expansion of NAN in n 0.582 * [taylor]: Taking taylor expansion of 0 in n 0.612 * [taylor]: Taking taylor expansion of 0 in n 0.614 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.614 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.615 * [taylor]: Taking taylor expansion of 1.0 in k 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.616 * [taylor]: Taking taylor expansion of k in k 0.634 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.634 * [taylor]: Taking taylor expansion of 1.0 in k 0.634 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.634 * [taylor]: Taking taylor expansion of k in k 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.656 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.656 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.656 * [taylor]: Taking taylor expansion of 1.0 in k 0.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.656 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.656 * [taylor]: Taking taylor expansion of -1 in k 0.656 * [taylor]: Taking taylor expansion of k in k 0.657 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.657 * [taylor]: Taking taylor expansion of 1.0 in k 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.657 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.657 * [taylor]: Taking taylor expansion of -1 in k 0.658 * [taylor]: Taking taylor expansion of k in k 0.773 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.773 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.773 * [taylor]: Taking taylor expansion of 2.0 in n 0.773 * [taylor]: Taking taylor expansion of (* n PI) in n 0.773 * [taylor]: Taking taylor expansion of n in n 0.773 * [taylor]: Taking taylor expansion of PI in n 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.773 * [taylor]: Taking taylor expansion of 2.0 in n 0.773 * [taylor]: Taking taylor expansion of (* n PI) in n 0.774 * [taylor]: Taking taylor expansion of n in n 0.774 * [taylor]: Taking taylor expansion of PI in n 0.786 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.786 * [taylor]: Taking taylor expansion of 2.0 in n 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.786 * [taylor]: Taking taylor expansion of PI in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.786 * [taylor]: Taking taylor expansion of 2.0 in n 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.787 * [taylor]: Taking taylor expansion of PI in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.795 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.795 * [taylor]: Taking taylor expansion of -2.0 in n 0.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.796 * [taylor]: Taking taylor expansion of -2.0 in n 0.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.808 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.808 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.809 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.809 * [taylor]: Taking taylor expansion of 0.5 in k 0.809 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.809 * [taylor]: Taking taylor expansion of 1.0 in k 0.809 * [taylor]: Taking taylor expansion of k in k 0.809 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.809 * [taylor]: Taking taylor expansion of 2.0 in k 0.809 * [taylor]: Taking taylor expansion of (* n PI) in k 0.809 * [taylor]: Taking taylor expansion of n in k 0.809 * [taylor]: Taking taylor expansion of PI in k 0.810 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.810 * [taylor]: Taking taylor expansion of 0.5 in n 0.810 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.810 * [taylor]: Taking taylor expansion of 1.0 in n 0.810 * [taylor]: Taking taylor expansion of k in n 0.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.810 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.810 * [taylor]: Taking taylor expansion of 2.0 in n 0.810 * [taylor]: Taking taylor expansion of (* n PI) in n 0.810 * [taylor]: Taking taylor expansion of n in n 0.810 * [taylor]: Taking taylor expansion of PI in n 0.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.815 * [taylor]: Taking taylor expansion of 0.5 in n 0.815 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.815 * [taylor]: Taking taylor expansion of 1.0 in n 0.815 * [taylor]: Taking taylor expansion of k in n 0.815 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.815 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.816 * [taylor]: Taking taylor expansion of 2.0 in n 0.816 * [taylor]: Taking taylor expansion of (* n PI) in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.821 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.821 * [taylor]: Taking taylor expansion of 0.5 in k 0.821 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.821 * [taylor]: Taking taylor expansion of 1.0 in k 0.821 * [taylor]: Taking taylor expansion of k in k 0.821 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.821 * [taylor]: Taking taylor expansion of 2.0 in k 0.821 * [taylor]: Taking taylor expansion of PI in k 0.822 * [taylor]: Taking taylor expansion of (log n) in k 0.822 * [taylor]: Taking taylor expansion of n in k 0.832 * [taylor]: Taking taylor expansion of 0 in k 0.847 * [taylor]: Taking taylor expansion of 0 in k 0.866 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.867 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.867 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.867 * [taylor]: Taking taylor expansion of 0.5 in k 0.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.867 * [taylor]: Taking taylor expansion of 1.0 in k 0.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.867 * [taylor]: Taking taylor expansion of k in k 0.867 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.867 * [taylor]: Taking taylor expansion of 2.0 in k 0.867 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.867 * [taylor]: Taking taylor expansion of PI in k 0.867 * [taylor]: Taking taylor expansion of n in k 0.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.868 * [taylor]: Taking taylor expansion of 0.5 in n 0.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.868 * [taylor]: Taking taylor expansion of 1.0 in n 0.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.868 * [taylor]: Taking taylor expansion of k in n 0.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.868 * [taylor]: Taking taylor expansion of 2.0 in n 0.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.868 * [taylor]: Taking taylor expansion of PI in n 0.868 * [taylor]: Taking taylor expansion of n in n 0.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.872 * [taylor]: Taking taylor expansion of 0.5 in n 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.872 * [taylor]: Taking taylor expansion of 1.0 in n 0.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.872 * [taylor]: Taking taylor expansion of k in n 0.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.872 * [taylor]: Taking taylor expansion of 2.0 in n 0.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.876 * [taylor]: Taking taylor expansion of 0.5 in k 0.876 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.876 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.876 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.876 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.876 * [taylor]: Taking taylor expansion of 2.0 in k 0.876 * [taylor]: Taking taylor expansion of PI in k 0.877 * [taylor]: Taking taylor expansion of (log n) in k 0.877 * [taylor]: Taking taylor expansion of n in k 0.877 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.877 * [taylor]: Taking taylor expansion of 1.0 in k 0.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.878 * [taylor]: Taking taylor expansion of k in k 0.891 * [taylor]: Taking taylor expansion of 0 in k 0.898 * [taylor]: Taking taylor expansion of 0 in k 0.906 * [taylor]: Taking taylor expansion of 0 in k 0.908 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.908 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.908 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.908 * [taylor]: Taking taylor expansion of 0.5 in k 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.908 * [taylor]: Taking taylor expansion of k in k 0.908 * [taylor]: Taking taylor expansion of 1.0 in k 0.908 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.908 * [taylor]: Taking taylor expansion of -2.0 in k 0.908 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.908 * [taylor]: Taking taylor expansion of PI in k 0.908 * [taylor]: Taking taylor expansion of n in k 0.909 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.909 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.909 * [taylor]: Taking taylor expansion of 0.5 in n 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.909 * [taylor]: Taking taylor expansion of k in n 0.909 * [taylor]: Taking taylor expansion of 1.0 in n 0.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.909 * [taylor]: Taking taylor expansion of -2.0 in n 0.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.909 * [taylor]: Taking taylor expansion of PI in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.913 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.913 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.913 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.913 * [taylor]: Taking taylor expansion of 0.5 in n 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.913 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.913 * [taylor]: Taking taylor expansion of k in n 0.913 * [taylor]: Taking taylor expansion of 1.0 in n 0.913 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.913 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.913 * [taylor]: Taking taylor expansion of -2.0 in n 0.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.913 * [taylor]: Taking taylor expansion of PI in n 0.913 * [taylor]: Taking taylor expansion of n in n 0.917 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.917 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.917 * [taylor]: Taking taylor expansion of 0.5 in k 0.917 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.917 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.917 * [taylor]: Taking taylor expansion of k in k 0.918 * [taylor]: Taking taylor expansion of 1.0 in k 0.918 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.918 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.918 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.918 * [taylor]: Taking taylor expansion of -2.0 in k 0.918 * [taylor]: Taking taylor expansion of PI in k 0.919 * [taylor]: Taking taylor expansion of (log n) in k 0.919 * [taylor]: Taking taylor expansion of n in k 0.928 * [taylor]: Taking taylor expansion of 0 in k 0.935 * [taylor]: Taking taylor expansion of 0 in k 0.943 * [taylor]: Taking taylor expansion of 0 in k 0.944 * * * [progress]: simplifying candidates 0.946 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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 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))) (neg 1.0) (neg (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)) (* (* (* (* 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k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.956 * * [simplify]: iteration 0 : 947 enodes (cost 1443 ) 0.973 * * [simplify]: iteration 1 : 4227 enodes (cost 1340 ) 1.040 * * [simplify]: iteration 2 : 5001 enodes (cost 1326 ) 1.048 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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(* 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)) (- (- (+ (+ (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))) (* 1.0 (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2)))) (* 1.0 (* k (pow NAN 3)))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log (* 2.0 PI)))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.049 * * * [progress]: adding candidates to table 1.557 * * [progress]: iteration 2 / 4 1.557 * * * [progress]: picking best candidate 1.589 * * * * [pick]: Picked # 1.589 * * * [progress]: localizing error 1.607 * * * [progress]: generating rewritten candidates 1.607 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.613 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.623 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.628 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.638 * * * [progress]: generating series expansions 1.638 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.639 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.639 * [taylor]: Taking taylor expansion of 0.5 in n 1.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.639 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.639 * [taylor]: Taking taylor expansion of 2.0 in n 1.639 * [taylor]: Taking taylor expansion of (* n PI) in n 1.639 * [taylor]: Taking taylor expansion of n in n 1.639 * [taylor]: Taking taylor expansion of PI in n 1.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.649 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.649 * [taylor]: Taking taylor expansion of 0.5 in n 1.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.650 * [taylor]: Taking taylor expansion of 2.0 in n 1.650 * [taylor]: Taking taylor expansion of (* n PI) in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.650 * [taylor]: Taking taylor expansion of PI in n 1.702 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.702 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.702 * [taylor]: Taking taylor expansion of 0.5 in n 1.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.703 * [taylor]: Taking taylor expansion of 2.0 in n 1.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.703 * [taylor]: Taking taylor expansion of PI in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.706 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.706 * [taylor]: Taking taylor expansion of 0.5 in n 1.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.706 * [taylor]: Taking taylor expansion of 2.0 in n 1.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.761 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.761 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.761 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.761 * [taylor]: Taking taylor expansion of 0.5 in n 1.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.761 * [taylor]: Taking taylor expansion of -2.0 in n 1.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.765 * [taylor]: Taking taylor expansion of -2.0 in n 1.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.819 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.820 * [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 1.820 * [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 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [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 1.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.820 * [taylor]: Taking taylor expansion of k in k 1.822 * [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 1.822 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.822 * [taylor]: Taking taylor expansion of 0.5 in k 1.822 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.822 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.822 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.822 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.822 * [taylor]: Taking taylor expansion of 1.0 in k 1.822 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.822 * [taylor]: Taking taylor expansion of 2.0 in k 1.824 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.824 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.824 * [taylor]: Taking taylor expansion of 1.0 in k 1.824 * [taylor]: Taking taylor expansion of (log n) in k 1.824 * [taylor]: Taking taylor expansion of n in k 1.824 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.824 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.824 * [taylor]: Taking taylor expansion of 1.0 in k 1.824 * [taylor]: Taking taylor expansion of (log PI) in k 1.824 * [taylor]: Taking taylor expansion of PI in k 1.829 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.829 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.829 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.829 * [taylor]: Taking taylor expansion of 0.5 in k 1.830 * [taylor]: Taking taylor expansion of k in k 1.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.830 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.830 * [taylor]: Taking taylor expansion of 2.0 in k 1.830 * [taylor]: Taking taylor expansion of (* n PI) in k 1.830 * [taylor]: Taking taylor expansion of n in k 1.830 * [taylor]: Taking taylor expansion of PI in k 1.833 * [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 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [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 1.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.833 * [taylor]: Taking taylor expansion of k in n 1.833 * [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 1.833 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.833 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.833 * [taylor]: Taking taylor expansion of 0.5 in n 1.833 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.833 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.833 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.833 * [taylor]: Taking taylor expansion of 2.0 in n 1.835 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.835 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.835 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.835 * [taylor]: Taking taylor expansion of 1.0 in n 1.835 * [taylor]: Taking taylor expansion of (log n) in n 1.835 * [taylor]: Taking taylor expansion of n in n 1.836 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.836 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.836 * [taylor]: Taking taylor expansion of 1.0 in n 1.836 * [taylor]: Taking taylor expansion of (log PI) in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.841 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.841 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.841 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.841 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.841 * [taylor]: Taking taylor expansion of 0.5 in n 1.841 * [taylor]: Taking taylor expansion of k in n 1.841 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.841 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.841 * [taylor]: Taking taylor expansion of 2.0 in n 1.841 * [taylor]: Taking taylor expansion of (* n PI) in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of 1.0 in n 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.847 * [taylor]: Taking taylor expansion of k in n 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.848 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.848 * [taylor]: Taking taylor expansion of 0.5 in n 1.848 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.848 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.848 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.848 * [taylor]: Taking taylor expansion of 2.0 in n 1.849 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.850 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.850 * [taylor]: Taking taylor expansion of 1.0 in n 1.850 * [taylor]: Taking taylor expansion of (log n) in n 1.850 * [taylor]: Taking taylor expansion of n in n 1.850 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.850 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.850 * [taylor]: Taking taylor expansion of 1.0 in n 1.850 * [taylor]: Taking taylor expansion of (log PI) in n 1.850 * [taylor]: Taking taylor expansion of PI in n 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.856 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.856 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.856 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.856 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.856 * [taylor]: Taking taylor expansion of 0.5 in n 1.856 * [taylor]: Taking taylor expansion of k in n 1.856 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.856 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.856 * [taylor]: Taking taylor expansion of 2.0 in n 1.856 * [taylor]: Taking taylor expansion of (* n PI) in n 1.856 * [taylor]: Taking taylor expansion of n in n 1.856 * [taylor]: Taking taylor expansion of PI in n 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [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 1.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.868 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.869 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.869 * [taylor]: Taking taylor expansion of 0.5 in k 1.869 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.869 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.869 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.869 * [taylor]: Taking taylor expansion of 1.0 in k 1.869 * [taylor]: Taking taylor expansion of (log PI) in k 1.869 * [taylor]: Taking taylor expansion of PI in k 1.871 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.871 * [taylor]: Taking taylor expansion of 1.0 in k 1.871 * [taylor]: Taking taylor expansion of (log n) in k 1.871 * [taylor]: Taking taylor expansion of n in k 1.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.871 * [taylor]: Taking taylor expansion of 1.0 in k 1.871 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.871 * [taylor]: Taking taylor expansion of 2.0 in k 1.876 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.876 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.876 * [taylor]: Taking taylor expansion of 0.5 in k 1.876 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.876 * [taylor]: Taking taylor expansion of k in k 1.876 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.876 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.876 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.876 * [taylor]: Taking taylor expansion of 2.0 in k 1.876 * [taylor]: Taking taylor expansion of PI in k 1.877 * [taylor]: Taking taylor expansion of (log n) in k 1.877 * [taylor]: Taking taylor expansion of n in k 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.966 * [taylor]: Taking taylor expansion of 0 in k 2.076 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (* (sqrt (/ 1 k)) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 2.076 * [taylor]: Taking taylor expansion of 0.08333333333333333 in k 2.077 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 2.077 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.077 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.077 * [taylor]: Taking taylor expansion of k in k 2.079 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 2.079 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in k 2.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in k 2.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.079 * [taylor]: Taking taylor expansion of 0.5 in k 2.079 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.079 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.079 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.079 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.079 * [taylor]: Taking taylor expansion of 1.0 in k 2.079 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.079 * [taylor]: Taking taylor expansion of 2.0 in k 2.081 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.081 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.081 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.081 * [taylor]: Taking taylor expansion of 1.0 in k 2.081 * [taylor]: Taking taylor expansion of (log n) in k 2.081 * [taylor]: Taking taylor expansion of n in k 2.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.081 * [taylor]: Taking taylor expansion of 1.0 in k 2.081 * [taylor]: Taking taylor expansion of (log PI) in k 2.081 * [taylor]: Taking taylor expansion of PI in k 2.087 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.087 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.087 * [taylor]: Taking taylor expansion of 0.5 in k 2.087 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.087 * [taylor]: Taking taylor expansion of k in k 2.088 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.088 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.088 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.088 * [taylor]: Taking taylor expansion of 2.0 in k 2.088 * [taylor]: Taking taylor expansion of PI in k 2.089 * [taylor]: Taking taylor expansion of (log n) in k 2.089 * [taylor]: Taking taylor expansion of n in k 2.224 * [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 2.224 * [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 2.224 * [taylor]: Taking taylor expansion of 1.0 in k 2.224 * [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 2.224 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.224 * [taylor]: Taking taylor expansion of k in k 2.225 * [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 2.225 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.225 * [taylor]: Taking taylor expansion of 0.5 in k 2.225 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.225 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.225 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.225 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.225 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.225 * [taylor]: Taking taylor expansion of 1.0 in k 2.225 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.225 * [taylor]: Taking taylor expansion of 2.0 in k 2.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.227 * [taylor]: Taking taylor expansion of 1.0 in k 2.227 * [taylor]: Taking taylor expansion of (log PI) in k 2.227 * [taylor]: Taking taylor expansion of PI in k 2.229 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.229 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.229 * [taylor]: Taking taylor expansion of 1.0 in k 2.229 * [taylor]: Taking taylor expansion of (log n) in k 2.229 * [taylor]: Taking taylor expansion of n in k 2.236 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.236 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.236 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.236 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.236 * [taylor]: Taking taylor expansion of 0.5 in k 2.236 * [taylor]: Taking taylor expansion of k in k 2.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.236 * [taylor]: Taking taylor expansion of 2.0 in k 2.236 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.236 * [taylor]: Taking taylor expansion of PI in k 2.236 * [taylor]: Taking taylor expansion of n in k 2.237 * [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 2.237 * [taylor]: Taking taylor expansion of 1.0 in n 2.237 * [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 2.237 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.237 * [taylor]: Taking taylor expansion of k in n 2.237 * [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 2.237 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.237 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.237 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.237 * [taylor]: Taking taylor expansion of 0.5 in n 2.237 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.237 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.237 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.237 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.237 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.237 * [taylor]: Taking taylor expansion of 1.0 in n 2.237 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.237 * [taylor]: Taking taylor expansion of 2.0 in n 2.239 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.239 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.239 * [taylor]: Taking taylor expansion of 1.0 in n 2.239 * [taylor]: Taking taylor expansion of (log PI) in n 2.239 * [taylor]: Taking taylor expansion of PI in n 2.241 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.241 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.241 * [taylor]: Taking taylor expansion of 1.0 in n 2.241 * [taylor]: Taking taylor expansion of (log n) in n 2.241 * [taylor]: Taking taylor expansion of n in n 2.253 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.253 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.254 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.254 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.254 * [taylor]: Taking taylor expansion of 0.5 in n 2.254 * [taylor]: Taking taylor expansion of k in n 2.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.254 * [taylor]: Taking taylor expansion of 2.0 in n 2.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.254 * [taylor]: Taking taylor expansion of PI in n 2.254 * [taylor]: Taking taylor expansion of n in n 2.258 * [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 2.258 * [taylor]: Taking taylor expansion of 1.0 in n 2.258 * [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 2.258 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.258 * [taylor]: Taking taylor expansion of k in n 2.258 * [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 2.258 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.258 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.258 * [taylor]: Taking taylor expansion of 0.5 in n 2.258 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.258 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.258 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.258 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.258 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.258 * [taylor]: Taking taylor expansion of 1.0 in n 2.258 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.258 * [taylor]: Taking taylor expansion of 2.0 in n 2.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.260 * [taylor]: Taking taylor expansion of 1.0 in n 2.260 * [taylor]: Taking taylor expansion of (log PI) in n 2.260 * [taylor]: Taking taylor expansion of PI in n 2.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.262 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.262 * [taylor]: Taking taylor expansion of 1.0 in n 2.262 * [taylor]: Taking taylor expansion of (log n) in n 2.262 * [taylor]: Taking taylor expansion of n in n 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.269 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.269 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.270 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.270 * [taylor]: Taking taylor expansion of 0.5 in n 2.270 * [taylor]: Taking taylor expansion of k in n 2.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.270 * [taylor]: Taking taylor expansion of 2.0 in n 2.270 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.270 * [taylor]: Taking taylor expansion of PI in n 2.270 * [taylor]: Taking taylor expansion of n in n 2.280 * [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 2.280 * [taylor]: Taking taylor expansion of 1.0 in k 2.280 * [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 2.280 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.280 * [taylor]: Taking taylor expansion of k in k 2.281 * [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 2.281 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.281 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.281 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.282 * [taylor]: Taking taylor expansion of 0.5 in k 2.282 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.282 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.282 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.282 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.282 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.282 * [taylor]: Taking taylor expansion of 1.0 in k 2.282 * [taylor]: Taking taylor expansion of (log PI) in k 2.282 * [taylor]: Taking taylor expansion of PI in k 2.284 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.284 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.284 * [taylor]: Taking taylor expansion of 1.0 in k 2.284 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.284 * [taylor]: Taking taylor expansion of 2.0 in k 2.285 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.285 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.285 * [taylor]: Taking taylor expansion of 1.0 in k 2.286 * [taylor]: Taking taylor expansion of (log n) in k 2.286 * [taylor]: Taking taylor expansion of n in k 2.292 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.292 * [taylor]: Taking taylor expansion of 0.5 in k 2.292 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.292 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.292 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.292 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.292 * [taylor]: Taking taylor expansion of 2.0 in k 2.292 * [taylor]: Taking taylor expansion of PI in k 2.293 * [taylor]: Taking taylor expansion of (log n) in k 2.293 * [taylor]: Taking taylor expansion of n in k 2.293 * [taylor]: Taking taylor expansion of k in k 2.326 * [taylor]: Taking taylor expansion of 0 in k 2.389 * [taylor]: Taking taylor expansion of 0 in k 2.481 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (* (sqrt k) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 2.482 * [taylor]: Taking taylor expansion of 0.08333333333333333 in k 2.482 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.482 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.482 * [taylor]: Taking taylor expansion of k in k 2.483 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.483 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 2.483 * [taylor]: Taking taylor expansion of 0.5 in k 2.483 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 2.483 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 2.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.483 * [taylor]: Taking taylor expansion of 1.0 in k 2.483 * [taylor]: Taking taylor expansion of (log n) in k 2.483 * [taylor]: Taking taylor expansion of n in k 2.483 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.483 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.483 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.483 * [taylor]: Taking taylor expansion of 1.0 in k 2.483 * [taylor]: Taking taylor expansion of (log PI) in k 2.483 * [taylor]: Taking taylor expansion of PI in k 2.485 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.485 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.485 * [taylor]: Taking taylor expansion of 1.0 in k 2.485 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.485 * [taylor]: Taking taylor expansion of 2.0 in k 2.493 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.494 * [taylor]: Taking taylor expansion of 0.5 in k 2.494 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.494 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.494 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.494 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.494 * [taylor]: Taking taylor expansion of 2.0 in k 2.494 * [taylor]: Taking taylor expansion of PI in k 2.495 * [taylor]: Taking taylor expansion of (log n) in k 2.495 * [taylor]: Taking taylor expansion of n in k 2.495 * [taylor]: Taking taylor expansion of k in k 2.566 * [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 2.566 * [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 2.566 * [taylor]: Taking taylor expansion of 1.0 in k 2.566 * [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 2.567 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.567 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.567 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.567 * [taylor]: Taking taylor expansion of -1 in k 2.567 * [taylor]: Taking taylor expansion of k in k 2.568 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.568 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.568 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.568 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.568 * [taylor]: Taking taylor expansion of -0.5 in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.568 * [taylor]: Taking taylor expansion of -2.0 in k 2.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.568 * [taylor]: Taking taylor expansion of PI in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.569 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.570 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.570 * [taylor]: Taking taylor expansion of 0.5 in k 2.570 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.570 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.570 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.570 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.570 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.570 * [taylor]: Taking taylor expansion of 1.0 in k 2.570 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.570 * [taylor]: Taking taylor expansion of -2.0 in k 2.571 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.572 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.572 * [taylor]: Taking taylor expansion of 1.0 in k 2.572 * [taylor]: Taking taylor expansion of (log PI) in k 2.572 * [taylor]: Taking taylor expansion of PI in k 2.573 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.574 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.574 * [taylor]: Taking taylor expansion of 1.0 in k 2.574 * [taylor]: Taking taylor expansion of (log n) in k 2.574 * [taylor]: Taking taylor expansion of n in k 2.580 * [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 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [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 2.580 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.580 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.580 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.580 * [taylor]: Taking taylor expansion of -1 in n 2.580 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.581 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.581 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.581 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.581 * [taylor]: Taking taylor expansion of -0.5 in n 2.581 * [taylor]: Taking taylor expansion of k in n 2.581 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.581 * [taylor]: Taking taylor expansion of -2.0 in n 2.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.581 * [taylor]: Taking taylor expansion of PI in n 2.581 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.586 * [taylor]: Taking taylor expansion of 0.5 in n 2.586 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.586 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.586 * [taylor]: Taking taylor expansion of -2.0 in n 2.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [taylor]: Taking taylor expansion of (log PI) in n 2.588 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.590 * [taylor]: Taking taylor expansion of (log n) in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.597 * [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 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [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 2.597 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.598 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.598 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.598 * [taylor]: Taking taylor expansion of -1 in n 2.598 * [taylor]: Taking taylor expansion of k in n 2.598 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.598 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.598 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.598 * [taylor]: Taking taylor expansion of -0.5 in n 2.598 * [taylor]: Taking taylor expansion of k in n 2.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.598 * [taylor]: Taking taylor expansion of -2.0 in n 2.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.609 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.609 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.609 * [taylor]: Taking taylor expansion of 0.5 in n 2.609 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.610 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.610 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.610 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.610 * [taylor]: Taking taylor expansion of 1.0 in n 2.610 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.610 * [taylor]: Taking taylor expansion of -2.0 in n 2.611 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.612 * [taylor]: Taking taylor expansion of 1.0 in n 2.612 * [taylor]: Taking taylor expansion of (log PI) in n 2.612 * [taylor]: Taking taylor expansion of PI in n 2.613 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.613 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.614 * [taylor]: Taking taylor expansion of 1.0 in n 2.614 * [taylor]: Taking taylor expansion of (log n) in n 2.614 * [taylor]: Taking taylor expansion of n in n 2.625 * [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 2.625 * [taylor]: Taking taylor expansion of 1.0 in k 2.625 * [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 2.625 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.625 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.625 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.625 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.626 * [taylor]: Taking taylor expansion of -0.5 in k 2.626 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.626 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.626 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.626 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.626 * [taylor]: Taking taylor expansion of -2.0 in k 2.626 * [taylor]: Taking taylor expansion of PI in k 2.627 * [taylor]: Taking taylor expansion of (log n) in k 2.627 * [taylor]: Taking taylor expansion of n in k 2.627 * [taylor]: Taking taylor expansion of k in k 2.629 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.629 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.630 * [taylor]: Taking taylor expansion of -1 in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.633 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.634 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.634 * [taylor]: Taking taylor expansion of 0.5 in k 2.634 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.634 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.634 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.634 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.634 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.634 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.634 * [taylor]: Taking taylor expansion of 1.0 in k 2.634 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.634 * [taylor]: Taking taylor expansion of -2.0 in k 2.636 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.636 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.636 * [taylor]: Taking taylor expansion of 1.0 in k 2.636 * [taylor]: Taking taylor expansion of (log PI) in k 2.636 * [taylor]: Taking taylor expansion of PI in k 2.638 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.638 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.638 * [taylor]: Taking taylor expansion of 1.0 in k 2.638 * [taylor]: Taking taylor expansion of (log n) in k 2.638 * [taylor]: Taking taylor expansion of n in k 2.675 * [taylor]: Taking taylor expansion of 0 in k 2.744 * [taylor]: Taking taylor expansion of 0 in k 2.835 * [taylor]: Taking taylor expansion of (* 0.08333333333333333 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in k 2.836 * [taylor]: Taking taylor expansion of 0.08333333333333333 in k 2.836 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 2.836 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.836 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.836 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.836 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.836 * [taylor]: Taking taylor expansion of -0.5 in k 2.836 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.836 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.836 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.836 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.836 * [taylor]: Taking taylor expansion of -2.0 in k 2.836 * [taylor]: Taking taylor expansion of PI in k 2.837 * [taylor]: Taking taylor expansion of (log n) in k 2.837 * [taylor]: Taking taylor expansion of n in k 2.837 * [taylor]: Taking taylor expansion of k in k 2.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.840 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.840 * [taylor]: Taking taylor expansion of -1 in k 2.840 * [taylor]: Taking taylor expansion of k in k 2.843 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 2.844 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 2.844 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 2.844 * [taylor]: Taking taylor expansion of 0.5 in k 2.844 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 2.844 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 2.844 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.844 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.844 * [taylor]: Taking taylor expansion of 1.0 in k 2.844 * [taylor]: Taking taylor expansion of (log n) in k 2.844 * [taylor]: Taking taylor expansion of n in k 2.844 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.844 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.844 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.844 * [taylor]: Taking taylor expansion of 1.0 in k 2.844 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.844 * [taylor]: Taking taylor expansion of -2.0 in k 2.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.846 * [taylor]: Taking taylor expansion of 1.0 in k 2.846 * [taylor]: Taking taylor expansion of (log PI) in k 2.846 * [taylor]: Taking taylor expansion of PI in k 2.874 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.875 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.875 * [taylor]: Taking taylor expansion of 2.0 in n 2.875 * [taylor]: Taking taylor expansion of (* n PI) in n 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of PI in n 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.875 * [taylor]: Taking taylor expansion of 2.0 in n 2.875 * [taylor]: Taking taylor expansion of (* n PI) in n 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of PI in n 2.887 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.887 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.887 * [taylor]: Taking taylor expansion of 2.0 in n 2.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.887 * [taylor]: Taking taylor expansion of PI in n 2.887 * [taylor]: Taking taylor expansion of n in n 2.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.888 * [taylor]: Taking taylor expansion of 2.0 in n 2.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.888 * [taylor]: Taking taylor expansion of PI in n 2.888 * [taylor]: Taking taylor expansion of n in n 2.897 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.897 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.897 * [taylor]: Taking taylor expansion of -2.0 in n 2.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.897 * [taylor]: Taking taylor expansion of PI in n 2.897 * [taylor]: Taking taylor expansion of n in n 2.897 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.898 * [taylor]: Taking taylor expansion of -2.0 in n 2.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.898 * [taylor]: Taking taylor expansion of PI in n 2.898 * [taylor]: Taking taylor expansion of n in n 2.906 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.907 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.907 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.907 * [taylor]: Taking taylor expansion of 2.0 in n 2.907 * [taylor]: Taking taylor expansion of (* n PI) in n 2.907 * [taylor]: Taking taylor expansion of n in n 2.907 * [taylor]: Taking taylor expansion of PI in n 2.907 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.907 * [taylor]: Taking taylor expansion of 2.0 in n 2.907 * [taylor]: Taking taylor expansion of (* n PI) in n 2.907 * [taylor]: Taking taylor expansion of n in n 2.907 * [taylor]: Taking taylor expansion of PI in n 2.919 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.919 * [taylor]: Taking taylor expansion of 2.0 in n 2.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.920 * [taylor]: Taking taylor expansion of PI in n 2.920 * [taylor]: Taking taylor expansion of n in n 2.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.920 * [taylor]: Taking taylor expansion of 2.0 in n 2.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.920 * [taylor]: Taking taylor expansion of PI in n 2.920 * [taylor]: Taking taylor expansion of n in n 2.929 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.929 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.929 * [taylor]: Taking taylor expansion of -2.0 in n 2.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.929 * [taylor]: Taking taylor expansion of PI in n 2.929 * [taylor]: Taking taylor expansion of n in n 2.929 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.929 * [taylor]: Taking taylor expansion of -2.0 in n 2.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.929 * [taylor]: Taking taylor expansion of PI in n 2.929 * [taylor]: Taking taylor expansion of n in n 2.938 * * * [progress]: simplifying candidates 2.940 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (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))) (* (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (- (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* (pow (log n) 2) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (log n) (pow NAN 3))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (/ NAN (* 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))) (* 1.0 (* (/ (pow NAN 5) (* (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))))) (- (+ (* 1.0 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ NAN (* k (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (* 1.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) (* 0.08333333333333333 (* (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 7.0) (pow PI 1.0)))) 0.5) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.950 * * [simplify]: iteration 0 : 924 enodes (cost 1356 ) 2.965 * * [simplify]: iteration 1 : 4136 enodes (cost 1167 ) 3.032 * * [simplify]: iteration 2 : 5001 enodes (cost 1167 ) 3.045 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log n) 2) NAN))) (* 1.0 (* k (pow NAN 3)))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 NAN)))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.5 (* (pow k 2) (* (log n) (pow NAN 3))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (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))) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (- (* 1.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* 0.08333333333333333 (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 7.0) (pow PI 1.0)))) 0.5)))) (* 1.0 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ NAN (* k (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.046 * * * [progress]: adding candidates to table 3.360 * * [progress]: iteration 3 / 4 3.360 * * * [progress]: picking best candidate 3.388 * * * * [pick]: Picked # 3.388 * * * [progress]: localizing error 3.403 * * * [progress]: generating rewritten candidates 3.403 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 3.416 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.442 * * * [progress]: generating series expansions 3.442 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.442 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.442 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.442 * [taylor]: Taking taylor expansion of 1.0 in k 3.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.442 * [taylor]: Taking taylor expansion of k in k 3.444 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.444 * [taylor]: Taking taylor expansion of 1.0 in k 3.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.444 * [taylor]: Taking taylor expansion of k in k 3.462 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.462 * [taylor]: Taking taylor expansion of 1.0 in k 3.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.462 * [taylor]: Taking taylor expansion of k in k 3.463 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.463 * [taylor]: Taking taylor expansion of 1.0 in k 3.463 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.463 * [taylor]: Taking taylor expansion of k in k 3.480 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.480 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.480 * [taylor]: Taking taylor expansion of 1.0 in k 3.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.480 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.480 * [taylor]: Taking taylor expansion of -1 in k 3.480 * [taylor]: Taking taylor expansion of k in k 3.482 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.482 * [taylor]: Taking taylor expansion of 1.0 in k 3.482 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.482 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.482 * [taylor]: Taking taylor expansion of -1 in k 3.482 * [taylor]: Taking taylor expansion of k in k 3.610 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.610 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.610 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.610 * [taylor]: Taking taylor expansion of 1.0 in k 3.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.610 * [taylor]: Taking taylor expansion of k in k 3.611 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.611 * [taylor]: Taking taylor expansion of 1.0 in k 3.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.611 * [taylor]: Taking taylor expansion of k in k 3.630 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.630 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.630 * [taylor]: Taking taylor expansion of 1.0 in k 3.630 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.630 * [taylor]: Taking taylor expansion of k in k 3.631 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.631 * [taylor]: Taking taylor expansion of 1.0 in k 3.631 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.631 * [taylor]: Taking taylor expansion of k in k 3.649 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.649 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.649 * [taylor]: Taking taylor expansion of 1.0 in k 3.649 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.649 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.649 * [taylor]: Taking taylor expansion of -1 in k 3.649 * [taylor]: Taking taylor expansion of k in k 3.650 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.650 * [taylor]: Taking taylor expansion of 1.0 in k 3.650 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.650 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.650 * [taylor]: Taking taylor expansion of -1 in k 3.651 * [taylor]: Taking taylor expansion of k in k 3.775 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.776 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.776 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.776 * [taylor]: Taking taylor expansion of 2.0 in n 3.776 * [taylor]: Taking taylor expansion of (* n PI) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [taylor]: Taking taylor expansion of PI in n 3.776 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.776 * [taylor]: Taking taylor expansion of 2.0 in n 3.776 * [taylor]: Taking taylor expansion of (* n PI) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.776 * [taylor]: Taking taylor expansion of PI in n 3.789 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.789 * [taylor]: Taking taylor expansion of 2.0 in n 3.789 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.789 * [taylor]: Taking taylor expansion of PI in n 3.789 * [taylor]: Taking taylor expansion of n in n 3.790 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.790 * [taylor]: Taking taylor expansion of 2.0 in n 3.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.790 * [taylor]: Taking taylor expansion of PI in n 3.790 * [taylor]: Taking taylor expansion of n in n 3.799 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.799 * [taylor]: Taking taylor expansion of -2.0 in n 3.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.799 * [taylor]: Taking taylor expansion of PI in n 3.799 * [taylor]: Taking taylor expansion of n in n 3.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.799 * [taylor]: Taking taylor expansion of -2.0 in n 3.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.800 * [taylor]: Taking taylor expansion of PI in n 3.800 * [taylor]: Taking taylor expansion of n in n 3.808 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.809 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 3.809 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 3.809 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.809 * [taylor]: Taking taylor expansion of k in n 3.809 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 3.809 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.810 * [taylor]: Taking taylor expansion of 0.5 in n 3.810 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.810 * [taylor]: Taking taylor expansion of 1.0 in n 3.810 * [taylor]: Taking taylor expansion of k in n 3.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.810 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.810 * [taylor]: Taking taylor expansion of 2.0 in n 3.810 * [taylor]: Taking taylor expansion of (* n PI) in n 3.810 * [taylor]: Taking taylor expansion of n in n 3.810 * [taylor]: Taking taylor expansion of PI in n 3.815 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.815 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.815 * [taylor]: Taking taylor expansion of 1.0 in n 3.816 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 3.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.816 * [taylor]: Taking taylor expansion of k in k 3.818 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 3.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.818 * [taylor]: Taking taylor expansion of 0.5 in k 3.818 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.818 * [taylor]: Taking taylor expansion of 1.0 in k 3.818 * [taylor]: Taking taylor expansion of k in k 3.818 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.818 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.818 * [taylor]: Taking taylor expansion of 2.0 in k 3.818 * [taylor]: Taking taylor expansion of (* n PI) in k 3.818 * [taylor]: Taking taylor expansion of n in k 3.818 * [taylor]: Taking taylor expansion of PI in k 3.819 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 3.819 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.819 * [taylor]: Taking taylor expansion of 1.0 in k 3.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) 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 k in k 3.821 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 3.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.821 * [taylor]: Taking taylor expansion of 0.5 in k 3.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.821 * [taylor]: Taking taylor expansion of 2.0 in k 3.821 * [taylor]: Taking taylor expansion of (* n PI) in k 3.821 * [taylor]: Taking taylor expansion of n in k 3.821 * [taylor]: Taking taylor expansion of PI in k 3.822 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 3.822 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.822 * [taylor]: Taking taylor expansion of 1.0 in k 3.826 * [taylor]: Taking taylor expansion of 0 in n 3.834 * [taylor]: Taking taylor expansion of (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.834 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 3.834 * [taylor]: Taking taylor expansion of NAN in n 3.834 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.834 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.834 * [taylor]: Taking taylor expansion of 1.0 in n 3.835 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.835 * [taylor]: Taking taylor expansion of 0.5 in n 3.835 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.835 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.835 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.835 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.835 * [taylor]: Taking taylor expansion of 1.0 in n 3.835 * [taylor]: Taking taylor expansion of (log PI) in n 3.835 * [taylor]: Taking taylor expansion of PI in n 3.837 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.837 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.837 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.837 * [taylor]: Taking taylor expansion of 1.0 in n 3.837 * [taylor]: Taking taylor expansion of (log n) in n 3.837 * [taylor]: Taking taylor expansion of n in n 3.838 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.838 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.838 * [taylor]: Taking taylor expansion of 1.0 in n 3.838 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.838 * [taylor]: Taking taylor expansion of 2.0 in n 3.870 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.871 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (pow (sqrt 1.0) 2))) in n 3.871 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.871 * [taylor]: Taking taylor expansion of 0.5 in n 3.871 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.871 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.871 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.871 * [taylor]: Taking taylor expansion of 1.0 in n 3.871 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.871 * [taylor]: Taking taylor expansion of 2.0 in n 3.873 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.873 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.873 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.873 * [taylor]: Taking taylor expansion of 1.0 in n 3.873 * [taylor]: Taking taylor expansion of (log n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.874 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.874 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.874 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.874 * [taylor]: Taking taylor expansion of 1.0 in n 3.874 * [taylor]: Taking taylor expansion of (log PI) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.879 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (sqrt 1.0) 2)) in n 3.879 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.879 * [taylor]: Taking taylor expansion of NAN in n 3.879 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.879 * [taylor]: Taking taylor expansion of 1.0 in n 3.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.880 * [taylor]: Taking taylor expansion of 0.5 in n 3.880 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.880 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) in n 3.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.880 * [taylor]: Taking taylor expansion of 2.0 in n 3.880 * [taylor]: Taking taylor expansion of (* n PI) in n 3.880 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of PI in n 3.883 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 3.883 * [taylor]: Taking taylor expansion of NAN in n 3.883 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.883 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.884 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.884 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.884 * [taylor]: Taking taylor expansion of 0.5 in n 3.884 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.884 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.884 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.884 * [taylor]: Taking taylor expansion of 1.0 in n 3.884 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.884 * [taylor]: Taking taylor expansion of 2.0 in n 3.886 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.886 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.886 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.886 * [taylor]: Taking taylor expansion of 1.0 in n 3.886 * [taylor]: Taking taylor expansion of (log n) in n 3.886 * [taylor]: Taking taylor expansion of n in n 3.887 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.887 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.887 * [taylor]: Taking taylor expansion of 1.0 in n 3.887 * [taylor]: Taking taylor expansion of (log PI) in n 3.887 * [taylor]: Taking taylor expansion of PI in n 3.970 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.970 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.970 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.970 * [taylor]: Taking taylor expansion of 0.125 in n 3.970 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.970 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) in n 3.970 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.970 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.970 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.970 * [taylor]: Taking taylor expansion of 2.0 in n 3.970 * [taylor]: Taking taylor expansion of (* n PI) in n 3.970 * [taylor]: Taking taylor expansion of n in n 3.970 * [taylor]: Taking taylor expansion of PI in n 3.974 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 3.974 * [taylor]: Taking taylor expansion of NAN in n 3.974 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.974 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.974 * [taylor]: Taking taylor expansion of 1.0 in n 3.975 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.975 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.975 * [taylor]: Taking taylor expansion of 0.5 in n 3.975 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.975 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.975 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.975 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.975 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.975 * [taylor]: Taking taylor expansion of 1.0 in n 3.975 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.975 * [taylor]: Taking taylor expansion of 2.0 in n 3.977 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.977 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.977 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.977 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.977 * [taylor]: Taking taylor expansion of 1.0 in n 3.977 * [taylor]: Taking taylor expansion of (log n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.978 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.978 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.978 * [taylor]: Taking taylor expansion of 1.0 in n 3.978 * [taylor]: Taking taylor expansion of (log PI) in n 3.978 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.983 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (sqrt 1.0) 2)) in n 3.983 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.983 * [taylor]: Taking taylor expansion of NAN in n 3.983 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.983 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.983 * [taylor]: Taking taylor expansion of 1.0 in n 3.984 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.984 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.984 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.984 * [taylor]: Taking taylor expansion of 0.5 in n 3.984 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.984 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.984 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.984 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.984 * [taylor]: Taking taylor expansion of 1.0 in n 3.984 * [taylor]: Taking taylor expansion of (log PI) in n 3.984 * [taylor]: Taking taylor expansion of PI in n 3.986 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.986 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.986 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.986 * [taylor]: Taking taylor expansion of 1.0 in n 3.986 * [taylor]: Taking taylor expansion of (log n) in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.987 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.987 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.987 * [taylor]: Taking taylor expansion of 1.0 in n 3.987 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.987 * [taylor]: Taking taylor expansion of 2.0 in n 3.992 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.992 * [taylor]: Taking taylor expansion of 0.5 in n 3.992 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.992 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) in n 3.992 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.992 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.992 * [taylor]: Taking taylor expansion of 2.0 in n 3.992 * [taylor]: Taking taylor expansion of (* n PI) in n 3.993 * [taylor]: Taking taylor expansion of n in n 3.993 * [taylor]: Taking taylor expansion of PI in n 3.996 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (sqrt 1.0) 2)) in n 3.996 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.996 * [taylor]: Taking taylor expansion of NAN in n 3.996 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 3.996 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.996 * [taylor]: Taking taylor expansion of 1.0 in n 3.996 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.996 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.996 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.996 * [taylor]: Taking taylor expansion of 0.5 in n 3.996 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.997 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.997 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.997 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.997 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.997 * [taylor]: Taking taylor expansion of 1.0 in n 3.997 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.997 * [taylor]: Taking taylor expansion of 2.0 in n 3.998 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.998 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.998 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.998 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.998 * [taylor]: Taking taylor expansion of 1.0 in n 3.999 * [taylor]: Taking taylor expansion of (log n) in n 3.999 * [taylor]: Taking taylor expansion of n in n 3.999 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.999 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.999 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.999 * [taylor]: Taking taylor expansion of 1.0 in n 3.999 * [taylor]: Taking taylor expansion of (log PI) in n 3.999 * [taylor]: Taking taylor expansion of PI in n 4.115 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.115 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.115 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.115 * [taylor]: Taking taylor expansion of k in n 4.115 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.115 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.115 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.115 * [taylor]: Taking taylor expansion of 1.0 in n 4.116 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.116 * [taylor]: Taking taylor expansion of 0.5 in n 4.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.116 * [taylor]: Taking taylor expansion of 1.0 in n 4.116 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.116 * [taylor]: Taking taylor expansion of k in n 4.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.116 * [taylor]: Taking taylor expansion of 2.0 in n 4.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.116 * [taylor]: Taking taylor expansion of PI in n 4.116 * [taylor]: Taking taylor expansion of n in n 4.125 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.125 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.125 * [taylor]: Taking taylor expansion of k in k 4.127 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.127 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.127 * [taylor]: Taking taylor expansion of 1.0 in k 4.127 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.127 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.128 * [taylor]: Taking taylor expansion of 0.5 in k 4.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.128 * [taylor]: Taking taylor expansion of 1.0 in k 4.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.128 * [taylor]: Taking taylor expansion of k in k 4.128 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.128 * [taylor]: Taking taylor expansion of 2.0 in k 4.128 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.128 * [taylor]: Taking taylor expansion of PI in k 4.128 * [taylor]: Taking taylor expansion of n in k 4.129 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.129 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.129 * [taylor]: Taking taylor expansion of k in k 4.130 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.130 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.130 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.130 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.131 * [taylor]: Taking taylor expansion of 0.5 in k 4.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.131 * [taylor]: Taking taylor expansion of k in k 4.131 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.132 * [taylor]: Taking taylor expansion of 2.0 in k 4.132 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.132 * [taylor]: Taking taylor expansion of PI in k 4.132 * [taylor]: Taking taylor expansion of n in k 4.135 * [taylor]: Taking taylor expansion of 0 in n 4.137 * [taylor]: Taking taylor expansion of (* NAN (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.137 * [taylor]: Taking taylor expansion of NAN in n 4.137 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.137 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.137 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.137 * [taylor]: Taking taylor expansion of 1.0 in n 4.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.138 * [taylor]: Taking taylor expansion of 0.5 in n 4.138 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.138 * [taylor]: Taking taylor expansion of 2.0 in n 4.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [taylor]: Taking taylor expansion of n in n 4.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.140 * [taylor]: Taking taylor expansion of k in n 4.154 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.154 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.154 * [taylor]: Taking taylor expansion of NAN in n 4.154 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.154 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.154 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.154 * [taylor]: Taking taylor expansion of 1.0 in n 4.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.155 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.155 * [taylor]: Taking taylor expansion of 0.5 in n 4.155 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.155 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.155 * [taylor]: Taking taylor expansion of 2.0 in n 4.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.155 * [taylor]: Taking taylor expansion of PI in n 4.155 * [taylor]: Taking taylor expansion of n in n 4.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.156 * [taylor]: Taking taylor expansion of 1.0 in n 4.156 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.156 * [taylor]: Taking taylor expansion of k in n 4.184 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.184 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 4.184 * [taylor]: Taking taylor expansion of NAN in n 4.184 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.184 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.184 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.184 * [taylor]: Taking taylor expansion of 1.0 in n 4.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.185 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.185 * [taylor]: Taking taylor expansion of 0.5 in n 4.185 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.185 * [taylor]: Taking taylor expansion of 2.0 in n 4.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.185 * [taylor]: Taking taylor expansion of PI in n 4.185 * [taylor]: Taking taylor expansion of n in n 4.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.186 * [taylor]: Taking taylor expansion of 1.0 in n 4.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.186 * [taylor]: Taking taylor expansion of k in n 4.203 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 4.203 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 4.203 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.203 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.203 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.203 * [taylor]: Taking taylor expansion of 1.0 in n 4.204 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.204 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.204 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.204 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.204 * [taylor]: Taking taylor expansion of 0.5 in n 4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.204 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.204 * [taylor]: Taking taylor expansion of k in n 4.204 * [taylor]: Taking taylor expansion of 1.0 in n 4.204 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.204 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.204 * [taylor]: Taking taylor expansion of -2.0 in n 4.204 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.204 * [taylor]: Taking taylor expansion of PI in n 4.204 * [taylor]: Taking taylor expansion of n in n 4.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.208 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.208 * [taylor]: Taking taylor expansion of -1 in n 4.208 * [taylor]: Taking taylor expansion of k in n 4.217 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.217 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.217 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.217 * [taylor]: Taking taylor expansion of 1.0 in k 4.218 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.218 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.218 * [taylor]: Taking taylor expansion of 0.5 in k 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.218 * [taylor]: Taking taylor expansion of k in k 4.219 * [taylor]: Taking taylor expansion of 1.0 in k 4.219 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.219 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.219 * [taylor]: Taking taylor expansion of -2.0 in k 4.219 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.219 * [taylor]: Taking taylor expansion of PI in k 4.219 * [taylor]: Taking taylor expansion of n in k 4.219 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.220 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.220 * [taylor]: Taking taylor expansion of -1 in k 4.220 * [taylor]: Taking taylor expansion of k in k 4.223 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.223 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.223 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.223 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.223 * [taylor]: Taking taylor expansion of 1.0 in k 4.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.224 * [taylor]: Taking taylor expansion of 0.5 in k 4.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.224 * [taylor]: Taking taylor expansion of k in k 4.224 * [taylor]: Taking taylor expansion of 1.0 in k 4.224 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.224 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.225 * [taylor]: Taking taylor expansion of -2.0 in k 4.225 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.225 * [taylor]: Taking taylor expansion of PI in k 4.225 * [taylor]: Taking taylor expansion of n in k 4.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.225 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.225 * [taylor]: Taking taylor expansion of -1 in k 4.225 * [taylor]: Taking taylor expansion of k in k 4.229 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) NAN) in n 4.229 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 4.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.229 * [taylor]: Taking taylor expansion of 0.5 in n 4.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.229 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.229 * [taylor]: Taking taylor expansion of k in n 4.229 * [taylor]: Taking taylor expansion of 1.0 in n 4.229 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.229 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.229 * [taylor]: Taking taylor expansion of -2.0 in n 4.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.229 * [taylor]: Taking taylor expansion of PI in n 4.229 * [taylor]: Taking taylor expansion of n in n 4.234 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.234 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.234 * [taylor]: Taking taylor expansion of 1.0 in n 4.235 * [taylor]: Taking taylor expansion of NAN in n 4.245 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (* NAN (pow (sqrt 1.0) 2)))) in n 4.245 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (* NAN (pow (sqrt 1.0) 2))) in n 4.245 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.245 * [taylor]: Taking taylor expansion of 0.5 in n 4.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.245 * [taylor]: Taking taylor expansion of k in n 4.245 * [taylor]: Taking taylor expansion of 1.0 in n 4.245 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.245 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.245 * [taylor]: Taking taylor expansion of -2.0 in n 4.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.245 * [taylor]: Taking taylor expansion of PI in n 4.245 * [taylor]: Taking taylor expansion of n in n 4.250 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 4.250 * [taylor]: Taking taylor expansion of NAN in n 4.250 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.250 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.250 * [taylor]: Taking taylor expansion of 1.0 in n 4.279 * [taylor]: Taking taylor expansion of 0 in n 4.321 * [taylor]: Taking taylor expansion of 0 in n 4.325 * * * [progress]: simplifying candidates 4.327 * [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))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 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))) (neg 1.0) (neg (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) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 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))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (* (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)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt 1.0) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt 1.0) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.25 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) (log n))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (pow (log n) 2)))))) (+ (* 0.125 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (pow (log (* 2.0 PI)) 2)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* (* k (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) (+ (* 0.5 (* (* NAN (* (pow (sqrt 1.0) 2) (* k (log (* 2.0 PI))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (log n)))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* NAN (* (pow (sqrt 1.0) 2) (* k (log n)))))) (* 0.5 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (log (* 2.0 PI))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (* NAN (pow (sqrt 1.0) 2))) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (* (pow NAN 5) (pow (sqrt 1.0) 2))) (pow k 3)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow k 2)))) (+ (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) NAN) (/ (* NAN (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k)) 4.337 * * [simplify]: iteration 0 : 806 enodes (cost 1461 ) 4.351 * * [simplify]: iteration 1 : 3639 enodes (cost 1305 ) 4.413 * * [simplify]: iteration 2 : 5002 enodes (cost 1279 ) 4.420 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (/ 1.0 (sqrt k)) (pow (* (* 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 (* (* 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 (* (* 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 (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (pow (exp (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (fabs (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (fabs (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1.0) (sqrt k) (/ 1.0 (sqrt k)) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 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 (sqrt k)))) (* (sqrt (/ 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 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 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 (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) (log n)))))) (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2))))) (- (+ (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (pow (log n) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (sqrt 1.0) 2) (* NAN (pow (log (* 2.0 PI)) 2))))) (* k (* (pow NAN 3) (pow (sqrt 1.0) 2)))))) (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (+ (* 0.5 (* (* NAN (* (pow (sqrt 1.0) 2) (* k (log (* 2.0 PI))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* (* 0.5 (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (+ (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (log n)))) (* NAN (* (pow (sqrt 1.0) 2) (* k (log n))))))) (* 0.5 (* (* (pow k 2) (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (log (* 2.0 PI))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (* NAN (pow (sqrt 1.0) 2))) k) (* (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) k) (/ 1.0 k))) (* (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 2)) (/ 1.0 k))) (+ (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) NAN) (/ (* NAN (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k)) 4.421 * * * [progress]: adding candidates to table 5.002 * * [progress]: iteration 4 / 4 5.002 * * * [progress]: picking best candidate 5.030 * * * * [pick]: Picked # 5.030 * * * [progress]: localizing error 5.045 * * * [progress]: generating rewritten candidates 5.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 5.061 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.065 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 5.079 * * * [progress]: generating series expansions 5.079 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.080 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in (k n) around 0 5.080 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in n 5.080 * [taylor]: Taking taylor expansion of 1.0 in n 5.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in n 5.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.080 * [taylor]: Taking taylor expansion of k in n 5.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.080 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.080 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.080 * [taylor]: Taking taylor expansion of 0.25 in n 5.080 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.080 * [taylor]: Taking taylor expansion of 1.0 in n 5.080 * [taylor]: Taking taylor expansion of k in n 5.080 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.080 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.080 * [taylor]: Taking taylor expansion of 2.0 in n 5.080 * [taylor]: Taking taylor expansion of (* n PI) in n 5.080 * [taylor]: Taking taylor expansion of n in n 5.080 * [taylor]: Taking taylor expansion of PI in n 5.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 5.086 * [taylor]: Taking taylor expansion of 1.0 in k 5.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 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 k in k 5.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.087 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.087 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.087 * [taylor]: Taking taylor expansion of 0.25 in k 5.087 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of k in k 5.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.088 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.088 * [taylor]: Taking taylor expansion of 2.0 in k 5.088 * [taylor]: Taking taylor expansion of (* n PI) in k 5.088 * [taylor]: Taking taylor expansion of n in k 5.088 * [taylor]: Taking taylor expansion of PI in k 5.089 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 5.089 * [taylor]: Taking taylor expansion of 1.0 in k 5.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 5.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.089 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.089 * [taylor]: Taking taylor expansion of k in k 5.090 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.090 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.090 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.090 * [taylor]: Taking taylor expansion of 0.25 in k 5.090 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.090 * [taylor]: Taking taylor expansion of 1.0 in k 5.090 * [taylor]: Taking taylor expansion of k in k 5.090 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.090 * [taylor]: Taking taylor expansion of 2.0 in k 5.090 * [taylor]: Taking taylor expansion of (* n PI) in k 5.090 * [taylor]: Taking taylor expansion of n in k 5.090 * [taylor]: Taking taylor expansion of PI in k 5.092 * [taylor]: Taking taylor expansion of 0 in n 5.097 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 5.097 * [taylor]: Taking taylor expansion of 1.0 in n 5.097 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 5.097 * [taylor]: Taking taylor expansion of NAN in n 5.097 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 5.097 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.097 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.097 * [taylor]: Taking taylor expansion of 0.25 in n 5.097 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.097 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.097 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.097 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.097 * [taylor]: Taking taylor expansion of 1.0 in n 5.097 * [taylor]: Taking taylor expansion of (log PI) in n 5.097 * [taylor]: Taking taylor expansion of PI in n 5.099 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.099 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.099 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.099 * [taylor]: Taking taylor expansion of 1.0 in n 5.099 * [taylor]: Taking taylor expansion of (log n) in n 5.099 * [taylor]: Taking taylor expansion of n in n 5.100 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.100 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.100 * [taylor]: Taking taylor expansion of 1.0 in n 5.100 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.100 * [taylor]: Taking taylor expansion of 2.0 in n 5.120 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 5.120 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) in n 5.120 * [taylor]: Taking taylor expansion of 1.0 in n 5.120 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3)) in n 5.120 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.121 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.121 * [taylor]: Taking taylor expansion of 0.25 in n 5.121 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.121 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.121 * [taylor]: Taking taylor expansion of 2.0 in n 5.122 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.123 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.123 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.123 * [taylor]: Taking taylor expansion of 1.0 in n 5.123 * [taylor]: Taking taylor expansion of (log n) in n 5.123 * [taylor]: Taking taylor expansion of n in n 5.123 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.123 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.123 * [taylor]: Taking taylor expansion of 1.0 in n 5.123 * [taylor]: Taking taylor expansion of (log PI) in n 5.123 * [taylor]: Taking taylor expansion of PI in n 5.129 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 5.129 * [taylor]: Taking taylor expansion of NAN in n 5.129 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 5.129 * [taylor]: Taking taylor expansion of 0.25 in n 5.129 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 5.129 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 5.129 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.129 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.129 * [taylor]: Taking taylor expansion of 2.0 in n 5.129 * [taylor]: Taking taylor expansion of (* n PI) in n 5.129 * [taylor]: Taking taylor expansion of n in n 5.129 * [taylor]: Taking taylor expansion of PI in n 5.132 * [taylor]: Taking taylor expansion of NAN in n 5.132 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 5.132 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.132 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.132 * [taylor]: Taking taylor expansion of 0.25 in n 5.132 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.132 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.132 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.132 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.132 * [taylor]: Taking taylor expansion of 1.0 in n 5.132 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.132 * [taylor]: Taking taylor expansion of 2.0 in n 5.134 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.134 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.134 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.134 * [taylor]: Taking taylor expansion of 1.0 in n 5.134 * [taylor]: Taking taylor expansion of (log n) in n 5.134 * [taylor]: Taking taylor expansion of n in n 5.135 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.135 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.135 * [taylor]: Taking taylor expansion of 1.0 in n 5.135 * [taylor]: Taking taylor expansion of (log PI) in n 5.135 * [taylor]: Taking taylor expansion of PI in n 5.198 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 5.198 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 5.198 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) in n 5.198 * [taylor]: Taking taylor expansion of 1.0 in n 5.198 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5)) in n 5.198 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 5.198 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.199 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.199 * [taylor]: Taking taylor expansion of 0.25 in n 5.199 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.199 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.199 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.199 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.199 * [taylor]: Taking taylor expansion of 1.0 in n 5.199 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.199 * [taylor]: Taking taylor expansion of 2.0 in n 5.200 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.201 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.201 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.201 * [taylor]: Taking taylor expansion of 1.0 in n 5.201 * [taylor]: Taking taylor expansion of (log n) in n 5.201 * [taylor]: Taking taylor expansion of n in n 5.201 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.201 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.201 * [taylor]: Taking taylor expansion of 1.0 in n 5.201 * [taylor]: Taking taylor expansion of (log PI) in n 5.201 * [taylor]: Taking taylor expansion of PI in n 5.207 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 5.207 * [taylor]: Taking taylor expansion of NAN in n 5.207 * [taylor]: Taking taylor expansion of (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 5.207 * [taylor]: Taking taylor expansion of 0.03125 in n 5.207 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 5.207 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 5.207 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.207 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.207 * [taylor]: Taking taylor expansion of 2.0 in n 5.207 * [taylor]: Taking taylor expansion of (* n PI) in n 5.207 * [taylor]: Taking taylor expansion of n in n 5.207 * [taylor]: Taking taylor expansion of PI in n 5.211 * [taylor]: Taking taylor expansion of NAN in n 5.211 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 5.211 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.211 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.211 * [taylor]: Taking taylor expansion of 0.25 in n 5.211 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.211 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.211 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.211 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.211 * [taylor]: Taking taylor expansion of 1.0 in n 5.211 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.211 * [taylor]: Taking taylor expansion of 2.0 in n 5.213 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.213 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.213 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.213 * [taylor]: Taking taylor expansion of 1.0 in n 5.213 * [taylor]: Taking taylor expansion of (log n) in n 5.213 * [taylor]: Taking taylor expansion of n in n 5.214 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.214 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.214 * [taylor]: Taking taylor expansion of 1.0 in n 5.214 * [taylor]: Taking taylor expansion of (log PI) in n 5.214 * [taylor]: Taking taylor expansion of PI in n 5.219 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 5.219 * [taylor]: Taking taylor expansion of 0.25 in n 5.219 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 5.219 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 5.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.219 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.219 * [taylor]: Taking taylor expansion of 2.0 in n 5.219 * [taylor]: Taking taylor expansion of (* n PI) in n 5.219 * [taylor]: Taking taylor expansion of n in n 5.219 * [taylor]: Taking taylor expansion of PI in n 5.222 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 5.222 * [taylor]: Taking taylor expansion of NAN in n 5.222 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 5.222 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.222 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.223 * [taylor]: Taking taylor expansion of 0.25 in n 5.223 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.223 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.223 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.223 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.223 * [taylor]: Taking taylor expansion of 1.0 in n 5.223 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.223 * [taylor]: Taking taylor expansion of 2.0 in n 5.224 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.224 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.225 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.225 * [taylor]: Taking taylor expansion of 1.0 in n 5.225 * [taylor]: Taking taylor expansion of (log n) in n 5.225 * [taylor]: Taking taylor expansion of n in n 5.225 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.225 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.225 * [taylor]: Taking taylor expansion of 1.0 in n 5.225 * [taylor]: Taking taylor expansion of (log PI) in n 5.225 * [taylor]: Taking taylor expansion of PI in n 5.299 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in (k n) around 0 5.299 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in n 5.299 * [taylor]: Taking taylor expansion of 1.0 in n 5.299 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in n 5.299 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.299 * [taylor]: Taking taylor expansion of k in n 5.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.299 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.299 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.299 * [taylor]: Taking taylor expansion of 0.25 in n 5.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.299 * [taylor]: Taking taylor expansion of 1.0 in n 5.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.299 * [taylor]: Taking taylor expansion of k in n 5.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.299 * [taylor]: Taking taylor expansion of 2.0 in n 5.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.299 * [taylor]: Taking taylor expansion of PI in n 5.299 * [taylor]: Taking taylor expansion of n in n 5.303 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 5.303 * [taylor]: Taking taylor expansion of 1.0 in k 5.303 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 5.303 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.303 * [taylor]: Taking taylor expansion of k in k 5.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.304 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.304 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.304 * [taylor]: Taking taylor expansion of 0.25 in k 5.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.304 * [taylor]: Taking taylor expansion of 1.0 in k 5.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.304 * [taylor]: Taking taylor expansion of k in k 5.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.305 * [taylor]: Taking taylor expansion of 2.0 in k 5.305 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.305 * [taylor]: Taking taylor expansion of PI in k 5.305 * [taylor]: Taking taylor expansion of n in k 5.306 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 5.306 * [taylor]: Taking taylor expansion of 1.0 in k 5.306 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 5.306 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.306 * [taylor]: Taking taylor expansion of k in k 5.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.307 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.307 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.307 * [taylor]: Taking taylor expansion of 0.25 in k 5.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.307 * [taylor]: Taking taylor expansion of 1.0 in k 5.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.307 * [taylor]: Taking taylor expansion of k in k 5.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.307 * [taylor]: Taking taylor expansion of 2.0 in k 5.307 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.307 * [taylor]: Taking taylor expansion of PI in k 5.307 * [taylor]: Taking taylor expansion of n in k 5.309 * [taylor]: Taking taylor expansion of 0 in n 5.310 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.310 * [taylor]: Taking taylor expansion of 1.0 in n 5.310 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.310 * [taylor]: Taking taylor expansion of NAN in n 5.310 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.310 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.310 * [taylor]: Taking taylor expansion of 0.25 in n 5.310 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.310 * [taylor]: Taking taylor expansion of 2.0 in n 5.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.310 * [taylor]: Taking taylor expansion of PI in n 5.310 * [taylor]: Taking taylor expansion of n in n 5.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.311 * [taylor]: Taking taylor expansion of 1.0 in n 5.311 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.311 * [taylor]: Taking taylor expansion of k in n 5.321 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.321 * [taylor]: Taking taylor expansion of 1.0 in n 5.321 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.321 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 5.321 * [taylor]: Taking taylor expansion of NAN in n 5.321 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.321 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.321 * [taylor]: Taking taylor expansion of 0.25 in n 5.321 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.321 * [taylor]: Taking taylor expansion of 2.0 in n 5.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.321 * [taylor]: Taking taylor expansion of PI in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.322 * [taylor]: Taking taylor expansion of 1.0 in n 5.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.323 * [taylor]: Taking taylor expansion of k in n 5.346 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.346 * [taylor]: Taking taylor expansion of 1.0 in n 5.346 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.346 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 5.346 * [taylor]: Taking taylor expansion of NAN in n 5.346 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.346 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.346 * [taylor]: Taking taylor expansion of 0.25 in n 5.346 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.346 * [taylor]: Taking taylor expansion of 2.0 in n 5.346 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.346 * [taylor]: Taking taylor expansion of PI in n 5.346 * [taylor]: Taking taylor expansion of n in n 5.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.353 * [taylor]: Taking taylor expansion of 1.0 in n 5.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.353 * [taylor]: Taking taylor expansion of k in n 5.366 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 5.366 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 5.366 * [taylor]: Taking taylor expansion of 1.0 in n 5.366 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.366 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.366 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.366 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.366 * [taylor]: Taking taylor expansion of 0.25 in n 5.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.366 * [taylor]: Taking taylor expansion of k in n 5.366 * [taylor]: Taking taylor expansion of 1.0 in n 5.366 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.366 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.366 * [taylor]: Taking taylor expansion of -2.0 in n 5.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.366 * [taylor]: Taking taylor expansion of PI in n 5.366 * [taylor]: Taking taylor expansion of n in n 5.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.370 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.370 * [taylor]: Taking taylor expansion of -1 in n 5.370 * [taylor]: Taking taylor expansion of k in n 5.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.371 * [taylor]: Taking taylor expansion of 1.0 in k 5.371 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.371 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.371 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.371 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.371 * [taylor]: Taking taylor expansion of 0.25 in k 5.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.371 * [taylor]: Taking taylor expansion of k in k 5.371 * [taylor]: Taking taylor expansion of 1.0 in k 5.371 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.371 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.371 * [taylor]: Taking taylor expansion of -2.0 in k 5.371 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.371 * [taylor]: Taking taylor expansion of PI in k 5.371 * [taylor]: Taking taylor expansion of n in k 5.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.372 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.372 * [taylor]: Taking taylor expansion of -1 in k 5.372 * [taylor]: Taking taylor expansion of k in k 5.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.374 * [taylor]: Taking taylor expansion of 1.0 in k 5.374 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.374 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.374 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.374 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.374 * [taylor]: Taking taylor expansion of 0.25 in k 5.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.374 * [taylor]: Taking taylor expansion of k in k 5.374 * [taylor]: Taking taylor expansion of 1.0 in k 5.374 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.374 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.374 * [taylor]: Taking taylor expansion of -2.0 in k 5.374 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.374 * [taylor]: Taking taylor expansion of PI in k 5.374 * [taylor]: Taking taylor expansion of n in k 5.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.375 * [taylor]: Taking taylor expansion of -1 in k 5.375 * [taylor]: Taking taylor expansion of k in k 5.377 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 5.377 * [taylor]: Taking taylor expansion of 1.0 in n 5.377 * [taylor]: Taking taylor expansion of (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 5.377 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.377 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.377 * [taylor]: Taking taylor expansion of 0.25 in n 5.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.377 * [taylor]: Taking taylor expansion of k in n 5.377 * [taylor]: Taking taylor expansion of 1.0 in n 5.377 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.377 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.377 * [taylor]: Taking taylor expansion of -2.0 in n 5.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.377 * [taylor]: Taking taylor expansion of PI in n 5.377 * [taylor]: Taking taylor expansion of n in n 5.382 * [taylor]: Taking taylor expansion of NAN in n 5.388 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 5.388 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.388 * [taylor]: Taking taylor expansion of 1.0 in n 5.388 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.388 * [taylor]: Taking taylor expansion of NAN in n 5.388 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.388 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.388 * [taylor]: Taking taylor expansion of 0.25 in n 5.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.388 * [taylor]: Taking taylor expansion of k in n 5.388 * [taylor]: Taking taylor expansion of 1.0 in n 5.388 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.388 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.388 * [taylor]: Taking taylor expansion of -2.0 in n 5.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.388 * [taylor]: Taking taylor expansion of PI in n 5.388 * [taylor]: Taking taylor expansion of n in n 5.412 * [taylor]: Taking taylor expansion of 0 in n 5.448 * [taylor]: Taking taylor expansion of 0 in n 5.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.450 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.450 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.450 * [taylor]: Taking taylor expansion of 1.0 in k 5.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.450 * [taylor]: Taking taylor expansion of k in k 5.451 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.451 * [taylor]: Taking taylor expansion of 1.0 in k 5.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.451 * [taylor]: Taking taylor expansion of k in k 5.470 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.470 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.470 * [taylor]: Taking taylor expansion of 1.0 in k 5.470 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.470 * [taylor]: Taking taylor expansion of k in k 5.471 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.471 * [taylor]: Taking taylor expansion of 1.0 in k 5.471 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.471 * [taylor]: Taking taylor expansion of k in k 5.488 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.488 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.488 * [taylor]: Taking taylor expansion of 1.0 in k 5.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.488 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.488 * [taylor]: Taking taylor expansion of -1 in k 5.488 * [taylor]: Taking taylor expansion of k in k 5.490 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.490 * [taylor]: Taking taylor expansion of 1.0 in k 5.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.490 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.490 * [taylor]: Taking taylor expansion of -1 in k 5.490 * [taylor]: Taking taylor expansion of k in k 5.616 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.617 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.617 * [taylor]: Taking taylor expansion of 2.0 in n 5.617 * [taylor]: Taking taylor expansion of (* n PI) in n 5.617 * [taylor]: Taking taylor expansion of n in n 5.617 * [taylor]: Taking taylor expansion of PI in n 5.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.617 * [taylor]: Taking taylor expansion of 2.0 in n 5.617 * [taylor]: Taking taylor expansion of (* n PI) in n 5.617 * [taylor]: Taking taylor expansion of n in n 5.617 * [taylor]: Taking taylor expansion of PI in n 5.629 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.630 * [taylor]: Taking taylor expansion of 2.0 in n 5.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.630 * [taylor]: Taking taylor expansion of PI in n 5.630 * [taylor]: Taking taylor expansion of n in n 5.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.630 * [taylor]: Taking taylor expansion of 2.0 in n 5.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.630 * [taylor]: Taking taylor expansion of PI in n 5.630 * [taylor]: Taking taylor expansion of n in n 5.639 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.639 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.639 * [taylor]: Taking taylor expansion of -2.0 in n 5.639 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.639 * [taylor]: Taking taylor expansion of PI in n 5.639 * [taylor]: Taking taylor expansion of n in n 5.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.640 * [taylor]: Taking taylor expansion of -2.0 in n 5.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.640 * [taylor]: Taking taylor expansion of PI in n 5.640 * [taylor]: Taking taylor expansion of n in n 5.649 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.649 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.649 * [taylor]: Taking taylor expansion of 2.0 in n 5.649 * [taylor]: Taking taylor expansion of (* n PI) in n 5.649 * [taylor]: Taking taylor expansion of n in n 5.649 * [taylor]: Taking taylor expansion of PI in n 5.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.649 * [taylor]: Taking taylor expansion of 2.0 in n 5.649 * [taylor]: Taking taylor expansion of (* n PI) in n 5.649 * [taylor]: Taking taylor expansion of n in n 5.649 * [taylor]: Taking taylor expansion of PI in n 5.662 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.662 * [taylor]: Taking taylor expansion of 2.0 in n 5.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.662 * [taylor]: Taking taylor expansion of PI in n 5.662 * [taylor]: Taking taylor expansion of n in n 5.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.662 * [taylor]: Taking taylor expansion of 2.0 in n 5.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.662 * [taylor]: Taking taylor expansion of PI in n 5.662 * [taylor]: Taking taylor expansion of n in n 5.671 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.671 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.671 * [taylor]: Taking taylor expansion of -2.0 in n 5.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.671 * [taylor]: Taking taylor expansion of PI in n 5.671 * [taylor]: Taking taylor expansion of n in n 5.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.672 * [taylor]: Taking taylor expansion of -2.0 in n 5.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.672 * [taylor]: Taking taylor expansion of PI in n 5.672 * [taylor]: Taking taylor expansion of n in n 5.680 * * * [progress]: simplifying candidates 5.682 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 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 k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (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) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (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) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (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) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (/ 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))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt 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 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 k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (- (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))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (* (pow (log (* 2.0 PI)) 2) (* (pow k 2) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) NAN)) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.25) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (* 0.03125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.25) (* (pow k 2) (* NAN (pow (log n) 2)))))))))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.25) (* (pow k 2) (* (pow NAN 3) (log n))))) (+ (* 0.25 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.25))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (pow k 2) (pow NAN 3))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (* 0.25 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))))))) (+ (* 1.0 (/ (* (pow NAN 3) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 2))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) k)) (* 1.0 (/ (* (pow NAN 5) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 3))))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (* 1.0 (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.691 * * [simplify]: iteration 0 : 770 enodes (cost 1255 ) 5.705 * * [simplify]: iteration 1 : 3477 enodes (cost 1161 ) 5.759 * * [simplify]: iteration 2 : 5002 enodes (cost 1151 ) 5.773 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (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) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (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) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (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) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (/ 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))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt 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 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 k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* 0.03125 (* (* (pow (log (* 2.0 PI)) 2) (* (pow k 2) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (* 1.0 (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) NAN) (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.25) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (* 0.03125 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.25) (* (pow k 2) (* NAN (pow (log n) 2)))))))) (* 0.25 (+ (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.25) (* (pow k 2) (* (pow NAN 3) (log n)))) (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.25))))) (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.25) (+ (* 0.25 (* (log (* 2.0 PI)) (* (pow k 2) (pow NAN 3)))) (* 0.25 (* k (* (log (* 2.0 PI)) NAN)))))) (* 1.0 (+ (/ (* (pow NAN 3) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 2)) (+ (/ (* NAN (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) k) (/ (* (pow NAN 5) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 3))))) (* 1.0 (+ (/ (* NAN (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k) (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.774 * * * [progress]: adding candidates to table 6.244 * [progress]: [Phase 3 of 3] Extracting. 6.245 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.247 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.247 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.314 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 6.387 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# #) 6.431 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.496 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.564 * * * [regime]: Found split indices: #