26.725 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.205 * * * [progress]: [2/2] Setting up program. 0.208 * [progress]: [Phase 2 of 3] Improving. 0.208 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.210 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.212 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.213 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.216 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.221 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.245 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.245 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.246 * * [progress]: iteration 1 / 4 0.246 * * * [progress]: picking best candidate 0.249 * * * * [pick]: Picked # 0.249 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.271 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.276 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.298 * * * [progress]: generating series expansions 0.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.298 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.298 * [taylor]: Taking taylor expansion of 1.0 in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.298 * [taylor]: Taking taylor expansion of 2.0 in k 0.298 * [taylor]: Taking taylor expansion of (* n PI) in k 0.298 * [taylor]: Taking taylor expansion of n in k 0.298 * [taylor]: Taking taylor expansion of PI in k 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of (log n) in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of 0 in k 0.302 * [taylor]: Taking taylor expansion of 0 in k 0.304 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.305 * [taylor]: Taking taylor expansion of 0.5 in k 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.305 * [taylor]: Taking taylor expansion of 2.0 in k 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.305 * [taylor]: Taking taylor expansion of PI in k 0.305 * [taylor]: Taking taylor expansion of n in k 0.305 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.305 * [taylor]: Taking taylor expansion of 0.5 in n 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.305 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.305 * [taylor]: Taking taylor expansion of k in n 0.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.305 * [taylor]: Taking taylor expansion of 2.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.306 * [taylor]: Taking taylor expansion of 0.5 in n 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.306 * [taylor]: Taking taylor expansion of k in n 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.306 * [taylor]: Taking taylor expansion of 2.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.306 * [taylor]: Taking taylor expansion of 0.5 in k 0.306 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.306 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.306 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.306 * [taylor]: Taking taylor expansion of 2.0 in k 0.306 * [taylor]: Taking taylor expansion of PI in k 0.306 * [taylor]: Taking taylor expansion of (log n) in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.308 * [taylor]: Taking taylor expansion of 0 in k 0.309 * [taylor]: Taking taylor expansion of 0 in k 0.309 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.309 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.309 * [taylor]: Taking taylor expansion of 0.5 in k 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.310 * [taylor]: Taking taylor expansion of 1.0 in k 0.310 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.310 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.310 * [taylor]: Taking taylor expansion of -2.0 in k 0.310 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.310 * [taylor]: Taking taylor expansion of n in k 0.310 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.310 * [taylor]: Taking taylor expansion of k in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.310 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.310 * [taylor]: Taking taylor expansion of -2.0 in n 0.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.310 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.311 * [taylor]: Taking taylor expansion of k in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.311 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.311 * [taylor]: Taking taylor expansion of -2.0 in n 0.311 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.311 * [taylor]: Taking taylor expansion of 0.5 in k 0.311 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.311 * [taylor]: Taking taylor expansion of k in k 0.311 * [taylor]: Taking taylor expansion of 1.0 in k 0.311 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.311 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.311 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.311 * [taylor]: Taking taylor expansion of -2.0 in k 0.311 * [taylor]: Taking taylor expansion of PI in k 0.311 * [taylor]: Taking taylor expansion of (log n) in k 0.311 * [taylor]: Taking taylor expansion of n in k 0.312 * [taylor]: Taking taylor expansion of 0 in k 0.313 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [taylor]: Taking taylor expansion of 0 in k 0.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.314 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.314 * [taylor]: Taking taylor expansion of 2.0 in n 0.314 * [taylor]: Taking taylor expansion of (* n PI) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.314 * [taylor]: Taking taylor expansion of 2.0 in n 0.314 * [taylor]: Taking taylor expansion of (* n PI) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.315 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.315 * [taylor]: Taking taylor expansion of 2.0 in n 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.315 * [taylor]: Taking taylor expansion of PI in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.315 * [taylor]: Taking taylor expansion of 2.0 in n 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.315 * [taylor]: Taking taylor expansion of PI in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.316 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of -2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of -2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.317 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.318 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.318 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.320 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.320 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.320 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.320 * [taylor]: Taking taylor expansion of -1 in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.320 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.320 * [taylor]: Taking taylor expansion of -1 in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.324 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.325 * [taylor]: Taking taylor expansion of 2.0 in n 0.325 * [taylor]: Taking taylor expansion of (* n PI) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.325 * [taylor]: Taking taylor expansion of 0.5 in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.326 * [taylor]: Taking taylor expansion of 2.0 in k 0.326 * [taylor]: Taking taylor expansion of (* n PI) in k 0.326 * [taylor]: Taking taylor expansion of n in k 0.326 * [taylor]: Taking taylor expansion of PI in k 0.326 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.326 * [taylor]: Taking taylor expansion of 1.0 in k 0.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.326 * [taylor]: Taking taylor expansion of 0.5 in k 0.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.326 * [taylor]: Taking taylor expansion of 1.0 in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.326 * [taylor]: Taking taylor expansion of 2.0 in k 0.326 * [taylor]: Taking taylor expansion of (* n PI) in k 0.326 * [taylor]: Taking taylor expansion of n in k 0.326 * [taylor]: Taking taylor expansion of PI in k 0.326 * [taylor]: Taking taylor expansion of 0 in n 0.327 * [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 0.327 * [taylor]: Taking taylor expansion of 1.0 in n 0.327 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.327 * [taylor]: Taking taylor expansion of NAN in n 0.327 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.327 * [taylor]: Taking taylor expansion of 0.5 in n 0.327 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.327 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.328 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log PI) in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.328 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log n) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.328 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [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 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.332 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log n) in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (log PI) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.333 * [taylor]: Taking taylor expansion of NAN in n 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of 0.5 in n 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (* n PI) in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of NAN in n 0.333 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.333 * [taylor]: Taking taylor expansion of 0.5 in n 0.333 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.333 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.333 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.334 * [taylor]: Taking taylor expansion of 2.0 in n 0.334 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (log n) in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (log PI) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.344 * [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 0.344 * [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 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of 0.125 in n 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.344 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [taylor]: Taking taylor expansion of (* n PI) in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.345 * [taylor]: Taking taylor expansion of NAN in n 0.345 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.345 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.345 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.345 * [taylor]: Taking taylor expansion of 2.0 in n 0.345 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.345 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log n) in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.345 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.345 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log PI) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.346 * [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 0.346 * [taylor]: Taking taylor expansion of 1.0 in n 0.346 * [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 0.346 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.346 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.346 * [taylor]: Taking taylor expansion of 0.5 in n 0.346 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.346 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.346 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.346 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.346 * [taylor]: Taking taylor expansion of 1.0 in n 0.346 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.346 * [taylor]: Taking taylor expansion of 2.0 in n 0.346 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.347 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log n) in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.347 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log PI) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.348 * [taylor]: Taking taylor expansion of NAN in n 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.348 * [taylor]: Taking taylor expansion of (* n PI) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.348 * [taylor]: Taking taylor expansion of NAN in n 0.348 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.348 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.348 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (log n) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log PI) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.362 * [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 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.362 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.362 * [taylor]: Taking taylor expansion of k in n 0.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.362 * [taylor]: Taking taylor expansion of 0.5 in n 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.362 * [taylor]: Taking taylor expansion of k in n 0.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.362 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.362 * [taylor]: Taking taylor expansion of 2.0 in n 0.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.362 * [taylor]: Taking taylor expansion of PI in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.363 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.363 * [taylor]: Taking taylor expansion of 0.5 in k 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.363 * [taylor]: Taking taylor expansion of 2.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.363 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.363 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.363 * [taylor]: Taking taylor expansion of 0.5 in k 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.363 * [taylor]: Taking taylor expansion of 2.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.363 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.364 * [taylor]: Taking taylor expansion of 0 in n 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.364 * [taylor]: Taking taylor expansion of NAN in n 0.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.364 * [taylor]: Taking taylor expansion of 0.5 in n 0.364 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.364 * [taylor]: Taking taylor expansion of 2.0 in n 0.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.364 * [taylor]: Taking taylor expansion of PI in n 0.364 * [taylor]: Taking taylor expansion of n in n 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.364 * [taylor]: Taking taylor expansion of k in n 0.366 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.366 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.366 * [taylor]: Taking taylor expansion of NAN in n 0.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.366 * [taylor]: Taking taylor expansion of 0.5 in n 0.366 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.366 * [taylor]: Taking taylor expansion of 2.0 in n 0.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.366 * [taylor]: Taking taylor expansion of PI in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.366 * [taylor]: Taking taylor expansion of k in n 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.368 * [taylor]: Taking taylor expansion of 1.0 in n 0.368 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.368 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.368 * [taylor]: Taking taylor expansion of NAN in n 0.368 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.368 * [taylor]: Taking taylor expansion of 0.5 in n 0.368 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.369 * [taylor]: Taking taylor expansion of PI in n 0.369 * [taylor]: Taking taylor expansion of n in n 0.369 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.369 * [taylor]: Taking taylor expansion of 1.0 in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.369 * [taylor]: Taking taylor expansion of k in n 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.370 * [taylor]: Taking taylor expansion of 1.0 in n 0.370 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.370 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.371 * [taylor]: Taking taylor expansion of 0.5 in n 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of 1.0 in n 0.371 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.371 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.371 * [taylor]: Taking taylor expansion of -2.0 in n 0.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.371 * [taylor]: Taking taylor expansion of PI in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.371 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.371 * [taylor]: Taking taylor expansion of -1 in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.371 * [taylor]: Taking taylor expansion of 1.0 in k 0.371 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.371 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.371 * [taylor]: Taking taylor expansion of 0.5 in k 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.371 * [taylor]: Taking taylor expansion of k in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.372 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.372 * [taylor]: Taking taylor expansion of -2.0 in k 0.372 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.372 * [taylor]: Taking taylor expansion of PI in k 0.372 * [taylor]: Taking taylor expansion of n in k 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.372 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.372 * [taylor]: Taking taylor expansion of -1 in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.372 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.372 * [taylor]: Taking taylor expansion of 0.5 in k 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.372 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.372 * [taylor]: Taking taylor expansion of -2.0 in k 0.372 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.372 * [taylor]: Taking taylor expansion of PI in k 0.372 * [taylor]: Taking taylor expansion of n in k 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.373 * [taylor]: Taking taylor expansion of -1 in k 0.373 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.373 * [taylor]: Taking taylor expansion of 1.0 in n 0.373 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.373 * [taylor]: Taking taylor expansion of 0.5 in n 0.373 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.373 * [taylor]: Taking taylor expansion of k in n 0.373 * [taylor]: Taking taylor expansion of 1.0 in n 0.373 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.373 * [taylor]: Taking taylor expansion of -2.0 in n 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of NAN in n 0.374 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.374 * [taylor]: Taking taylor expansion of 1.0 in n 0.374 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.374 * [taylor]: Taking taylor expansion of 0.5 in n 0.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.375 * [taylor]: Taking taylor expansion of k in n 0.375 * [taylor]: Taking taylor expansion of 1.0 in n 0.375 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.375 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.375 * [taylor]: Taking taylor expansion of -2.0 in n 0.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.375 * [taylor]: Taking taylor expansion of PI in n 0.375 * [taylor]: Taking taylor expansion of n in n 0.375 * [taylor]: Taking taylor expansion of NAN in n 0.380 * [taylor]: Taking taylor expansion of 0 in n 0.382 * [taylor]: Taking taylor expansion of 0 in n 0.383 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (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 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))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 1.0 (* (pow 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))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (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)) (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 0.395 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.412 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 0.479 * * [simplify]: iteration 2 : 5002 enodes (cost 1351 ) 0.487 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt 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)) (/ 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)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (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)))) (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 (* (/ 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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (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)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* 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))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 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))) 0.488 * * * [progress]: adding candidates to table 0.756 * * [progress]: iteration 2 / 4 0.756 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.817 * * * [progress]: generating rewritten candidates 0.817 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 0.827 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.836 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.847 * * * [progress]: generating series expansions 0.847 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.848 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.848 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.848 * [taylor]: Taking taylor expansion of 2.0 in n 0.848 * [taylor]: Taking taylor expansion of (* n PI) in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.848 * [taylor]: Taking taylor expansion of PI in n 0.848 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.848 * [taylor]: Taking taylor expansion of 2.0 in n 0.848 * [taylor]: Taking taylor expansion of (* n PI) in n 0.848 * [taylor]: Taking taylor expansion of n in n 0.848 * [taylor]: Taking taylor expansion of PI in n 0.849 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.849 * [taylor]: Taking taylor expansion of 2.0 in n 0.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.849 * [taylor]: Taking taylor expansion of PI in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.849 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.849 * [taylor]: Taking taylor expansion of 2.0 in n 0.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.849 * [taylor]: Taking taylor expansion of PI in n 0.849 * [taylor]: Taking taylor expansion of n in n 0.850 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.850 * [taylor]: Taking taylor expansion of -2.0 in n 0.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.850 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.850 * [taylor]: Taking taylor expansion of -2.0 in n 0.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.850 * [taylor]: Taking taylor expansion of PI in n 0.850 * [taylor]: Taking taylor expansion of n in n 0.851 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 0.851 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.851 * [taylor]: Taking taylor expansion of 2.0 in n 0.851 * [taylor]: Taking taylor expansion of (* n PI) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.851 * [taylor]: Taking taylor expansion of 2.0 in n 0.851 * [taylor]: Taking taylor expansion of (* n PI) in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.851 * [taylor]: Taking taylor expansion of PI in n 0.852 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.852 * [taylor]: Taking taylor expansion of 2.0 in n 0.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.852 * [taylor]: Taking taylor expansion of PI in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.852 * [taylor]: Taking taylor expansion of 2.0 in n 0.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.852 * [taylor]: Taking taylor expansion of PI in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.853 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.853 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.853 * [taylor]: Taking taylor expansion of -2.0 in n 0.853 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.853 * [taylor]: Taking taylor expansion of PI in n 0.853 * [taylor]: Taking taylor expansion of n in n 0.853 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.853 * [taylor]: Taking taylor expansion of -2.0 in n 0.853 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.853 * [taylor]: Taking taylor expansion of PI in n 0.853 * [taylor]: Taking taylor expansion of n in n 0.853 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.854 * [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 0.854 * [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 0.854 * [taylor]: Taking taylor expansion of 1.0 in k 0.854 * [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 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.854 * [taylor]: Taking taylor expansion of k in k 0.854 * [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 0.854 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 0.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 0.854 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 0.854 * [taylor]: Taking taylor expansion of 0.5 in k 0.854 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 0.854 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 0.854 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.854 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.854 * [taylor]: Taking taylor expansion of 1.0 in k 0.854 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.854 * [taylor]: Taking taylor expansion of 2.0 in k 0.854 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 0.854 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.854 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.854 * [taylor]: Taking taylor expansion of 1.0 in k 0.854 * [taylor]: Taking taylor expansion of (log n) in k 0.854 * [taylor]: Taking taylor expansion of n in k 0.854 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.854 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.854 * [taylor]: Taking taylor expansion of 1.0 in k 0.854 * [taylor]: Taking taylor expansion of (log PI) in k 0.854 * [taylor]: Taking taylor expansion of PI in k 0.855 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 0.855 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.855 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.855 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.855 * [taylor]: Taking taylor expansion of 0.5 in k 0.855 * [taylor]: Taking taylor expansion of k in k 0.855 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.855 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.855 * [taylor]: Taking taylor expansion of 2.0 in k 0.855 * [taylor]: Taking taylor expansion of (* n PI) in k 0.855 * [taylor]: Taking taylor expansion of n in k 0.855 * [taylor]: Taking taylor expansion of PI in k 0.856 * [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 0.856 * [taylor]: Taking taylor expansion of 1.0 in n 0.856 * [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 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.856 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.856 * [taylor]: Taking taylor expansion of k in n 0.856 * [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 0.856 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.856 * [taylor]: Taking taylor expansion of 0.5 in n 0.856 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.856 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.856 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.856 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.856 * [taylor]: Taking taylor expansion of 1.0 in n 0.856 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.856 * [taylor]: Taking taylor expansion of 2.0 in n 0.856 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.856 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.856 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.856 * [taylor]: Taking taylor expansion of 1.0 in n 0.856 * [taylor]: Taking taylor expansion of (log n) in n 0.856 * [taylor]: Taking taylor expansion of n in n 0.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.857 * [taylor]: Taking taylor expansion of 1.0 in n 0.857 * [taylor]: Taking taylor expansion of (log PI) in n 0.857 * [taylor]: Taking taylor expansion of PI in n 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.858 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.858 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.858 * [taylor]: Taking taylor expansion of 0.5 in n 0.858 * [taylor]: Taking taylor expansion of k in n 0.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.858 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.858 * [taylor]: Taking taylor expansion of 2.0 in n 0.858 * [taylor]: Taking taylor expansion of (* n PI) in n 0.858 * [taylor]: Taking taylor expansion of n in n 0.858 * [taylor]: Taking taylor expansion of PI in n 0.858 * [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 0.858 * [taylor]: Taking taylor expansion of 1.0 in n 0.858 * [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 0.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.858 * [taylor]: Taking taylor expansion of k in n 0.858 * [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 0.858 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.858 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.858 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.858 * [taylor]: Taking taylor expansion of 0.5 in n 0.858 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.858 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.858 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.858 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.858 * [taylor]: Taking taylor expansion of 1.0 in n 0.858 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.859 * [taylor]: Taking taylor expansion of 2.0 in n 0.859 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.859 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.859 * [taylor]: Taking taylor expansion of 1.0 in n 0.859 * [taylor]: Taking taylor expansion of (log n) in n 0.859 * [taylor]: Taking taylor expansion of n in n 0.859 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.859 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.859 * [taylor]: Taking taylor expansion of 1.0 in n 0.859 * [taylor]: Taking taylor expansion of (log PI) in n 0.859 * [taylor]: Taking taylor expansion of PI in n 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.860 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.860 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.860 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.860 * [taylor]: Taking taylor expansion of 0.5 in n 0.860 * [taylor]: Taking taylor expansion of k in n 0.860 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.860 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.860 * [taylor]: Taking taylor expansion of 2.0 in n 0.860 * [taylor]: Taking taylor expansion of (* n PI) in n 0.860 * [taylor]: Taking taylor expansion of n in n 0.860 * [taylor]: Taking taylor expansion of PI in n 0.861 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 0.861 * [taylor]: Taking taylor expansion of 1.0 in k 0.861 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 0.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.861 * [taylor]: Taking taylor expansion of k in k 0.861 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 0.861 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 0.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.861 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.862 * [taylor]: Taking taylor expansion of 0.5 in k 0.862 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.862 * [taylor]: Taking taylor expansion of k in k 0.862 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.862 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.862 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.862 * [taylor]: Taking taylor expansion of 2.0 in k 0.862 * [taylor]: Taking taylor expansion of PI in k 0.862 * [taylor]: Taking taylor expansion of (log n) in k 0.862 * [taylor]: Taking taylor expansion of n in k 0.862 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 0.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 0.862 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 0.862 * [taylor]: Taking taylor expansion of 0.5 in k 0.862 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 0.862 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 0.862 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.862 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.862 * [taylor]: Taking taylor expansion of 1.0 in k 0.862 * [taylor]: Taking taylor expansion of (log PI) in k 0.862 * [taylor]: Taking taylor expansion of PI in k 0.862 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 0.862 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.862 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.863 * [taylor]: Taking taylor expansion of 1.0 in k 0.863 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.863 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.863 * [taylor]: Taking taylor expansion of 1.0 in k 0.863 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.863 * [taylor]: Taking taylor expansion of (log 1) in k 0.863 * [taylor]: Taking taylor expansion of 1 in k 0.863 * [taylor]: Taking taylor expansion of (log n) in k 0.863 * [taylor]: Taking taylor expansion of n in k 0.863 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.863 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.863 * [taylor]: Taking taylor expansion of 1.0 in k 0.863 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.863 * [taylor]: Taking taylor expansion of 2.0 in k 0.867 * [taylor]: Taking taylor expansion of 0 in k 0.877 * [taylor]: Taking taylor expansion of 0 in k 0.892 * [taylor]: Taking taylor expansion of 0 in k 0.915 * [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 0.915 * [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 0.915 * [taylor]: Taking taylor expansion of 1.0 in k 0.915 * [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 0.915 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.915 * [taylor]: Taking taylor expansion of k in k 0.915 * [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 0.915 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.915 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.915 * [taylor]: Taking taylor expansion of 0.5 in k 0.916 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.916 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.916 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 0.916 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.916 * [taylor]: Taking taylor expansion of 1.0 in k 0.916 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.916 * [taylor]: Taking taylor expansion of 2.0 in k 0.916 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.916 * [taylor]: Taking taylor expansion of 1.0 in k 0.916 * [taylor]: Taking taylor expansion of (log PI) in k 0.916 * [taylor]: Taking taylor expansion of PI in k 0.916 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.916 * [taylor]: Taking taylor expansion of 1.0 in k 0.916 * [taylor]: Taking taylor expansion of (log n) in k 0.916 * [taylor]: Taking taylor expansion of n in k 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 0.917 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.917 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.917 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.917 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.917 * [taylor]: Taking taylor expansion of 0.5 in k 0.917 * [taylor]: Taking taylor expansion of k in k 0.917 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.917 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.917 * [taylor]: Taking taylor expansion of 2.0 in k 0.917 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.917 * [taylor]: Taking taylor expansion of PI in k 0.917 * [taylor]: Taking taylor expansion of n in k 0.917 * [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 0.917 * [taylor]: Taking taylor expansion of 1.0 in n 0.917 * [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 0.917 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.917 * [taylor]: Taking taylor expansion of k in n 0.917 * [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 0.917 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.917 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.917 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.917 * [taylor]: Taking taylor expansion of 0.5 in n 0.917 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.917 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.918 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.918 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.918 * [taylor]: Taking taylor expansion of 2.0 in n 0.918 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.918 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (log PI) in n 0.918 * [taylor]: Taking taylor expansion of PI in n 0.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.918 * [taylor]: Taking taylor expansion of 1.0 in n 0.918 * [taylor]: Taking taylor expansion of (log n) in n 0.918 * [taylor]: Taking taylor expansion of n in n 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.919 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.919 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.919 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.919 * [taylor]: Taking taylor expansion of 0.5 in n 0.919 * [taylor]: Taking taylor expansion of k in n 0.919 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.919 * [taylor]: Taking taylor expansion of 2.0 in n 0.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [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 0.919 * [taylor]: Taking taylor expansion of 1.0 in n 0.919 * [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 0.919 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.919 * [taylor]: Taking taylor expansion of k in n 0.919 * [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 0.919 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.920 * [taylor]: Taking taylor expansion of 0.5 in n 0.920 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.920 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.920 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.920 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.920 * [taylor]: Taking taylor expansion of 1.0 in n 0.920 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.920 * [taylor]: Taking taylor expansion of 2.0 in n 0.920 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.920 * [taylor]: Taking taylor expansion of 1.0 in n 0.920 * [taylor]: Taking taylor expansion of (log PI) in n 0.920 * [taylor]: Taking taylor expansion of PI in n 0.920 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.920 * [taylor]: Taking taylor expansion of 1.0 in n 0.920 * [taylor]: Taking taylor expansion of (log n) in n 0.920 * [taylor]: Taking taylor expansion of n in n 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.921 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.921 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.921 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.921 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.921 * [taylor]: Taking taylor expansion of 0.5 in n 0.921 * [taylor]: Taking taylor expansion of k in n 0.921 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.921 * [taylor]: Taking taylor expansion of 2.0 in n 0.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.921 * [taylor]: Taking taylor expansion of PI in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.922 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 0.922 * [taylor]: Taking taylor expansion of 1.0 in k 0.922 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 0.922 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.922 * [taylor]: Taking taylor expansion of k in k 0.923 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 0.923 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 0.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.923 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.923 * [taylor]: Taking taylor expansion of 0.5 in k 0.923 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.923 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.923 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.923 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.923 * [taylor]: Taking taylor expansion of 2.0 in k 0.923 * [taylor]: Taking taylor expansion of PI in k 0.923 * [taylor]: Taking taylor expansion of (log n) in k 0.923 * [taylor]: Taking taylor expansion of n in k 0.923 * [taylor]: Taking taylor expansion of k in k 0.923 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.923 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.923 * [taylor]: Taking taylor expansion of 0.5 in k 0.923 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.923 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.923 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 0.923 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.923 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.923 * [taylor]: Taking taylor expansion of 1.0 in k 0.923 * [taylor]: Taking taylor expansion of (log PI) in k 0.923 * [taylor]: Taking taylor expansion of PI in k 0.923 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.923 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.923 * [taylor]: Taking taylor expansion of 1.0 in k 0.923 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.923 * [taylor]: Taking taylor expansion of 2.0 in k 0.924 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.924 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.924 * [taylor]: Taking taylor expansion of 1.0 in k 0.924 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.924 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.924 * [taylor]: Taking taylor expansion of 1.0 in k 0.924 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.924 * [taylor]: Taking taylor expansion of (log 1) in k 0.924 * [taylor]: Taking taylor expansion of 1 in k 0.924 * [taylor]: Taking taylor expansion of (log n) in k 0.924 * [taylor]: Taking taylor expansion of n in k 0.929 * [taylor]: Taking taylor expansion of 0 in k 0.936 * [taylor]: Taking taylor expansion of 0 in k 0.947 * [taylor]: Taking taylor expansion of 0 in k 0.959 * [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 0.959 * [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 0.959 * [taylor]: Taking taylor expansion of 1.0 in k 0.959 * [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 0.959 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 0.959 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 0.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.959 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.959 * [taylor]: Taking taylor expansion of -1 in k 0.959 * [taylor]: Taking taylor expansion of k in k 0.959 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.959 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.959 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.959 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.959 * [taylor]: Taking taylor expansion of -0.5 in k 0.959 * [taylor]: Taking taylor expansion of k in k 0.959 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.959 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.959 * [taylor]: Taking taylor expansion of -2.0 in k 0.959 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.959 * [taylor]: Taking taylor expansion of PI in k 0.959 * [taylor]: Taking taylor expansion of n in k 0.960 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.960 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.960 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.960 * [taylor]: Taking taylor expansion of 0.5 in k 0.960 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.960 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.960 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.960 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.960 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.960 * [taylor]: Taking taylor expansion of 1.0 in k 0.960 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.960 * [taylor]: Taking taylor expansion of -2.0 in k 0.960 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.960 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.960 * [taylor]: Taking taylor expansion of 1.0 in k 0.960 * [taylor]: Taking taylor expansion of (log PI) in k 0.960 * [taylor]: Taking taylor expansion of PI in k 0.960 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.960 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.960 * [taylor]: Taking taylor expansion of 1.0 in k 0.960 * [taylor]: Taking taylor expansion of (log n) in k 0.960 * [taylor]: Taking taylor expansion of n in k 0.961 * [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 0.961 * [taylor]: Taking taylor expansion of 1.0 in n 0.961 * [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 0.961 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.961 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.961 * [taylor]: Taking taylor expansion of -1 in n 0.961 * [taylor]: Taking taylor expansion of k in n 0.961 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.961 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.961 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.961 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.961 * [taylor]: Taking taylor expansion of -0.5 in n 0.961 * [taylor]: Taking taylor expansion of k in n 0.961 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.961 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.961 * [taylor]: Taking taylor expansion of -2.0 in n 0.961 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.961 * [taylor]: Taking taylor expansion of PI in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.962 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.962 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.962 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.962 * [taylor]: Taking taylor expansion of 0.5 in n 0.962 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.962 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.962 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.962 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.962 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.962 * [taylor]: Taking taylor expansion of 1.0 in n 0.962 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.962 * [taylor]: Taking taylor expansion of -2.0 in n 0.962 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.962 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.962 * [taylor]: Taking taylor expansion of 1.0 in n 0.962 * [taylor]: Taking taylor expansion of (log PI) in n 0.962 * [taylor]: Taking taylor expansion of PI in n 0.962 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.962 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.962 * [taylor]: Taking taylor expansion of 1.0 in n 0.962 * [taylor]: Taking taylor expansion of (log n) in n 0.962 * [taylor]: Taking taylor expansion of n in n 0.963 * [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 0.963 * [taylor]: Taking taylor expansion of 1.0 in n 0.963 * [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 0.963 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.963 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.963 * [taylor]: Taking taylor expansion of -1 in n 0.963 * [taylor]: Taking taylor expansion of k in n 0.963 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.964 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.964 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.964 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.964 * [taylor]: Taking taylor expansion of -0.5 in n 0.964 * [taylor]: Taking taylor expansion of k in n 0.964 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.964 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.964 * [taylor]: Taking taylor expansion of -2.0 in n 0.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.964 * [taylor]: Taking taylor expansion of PI in n 0.964 * [taylor]: Taking taylor expansion of n in n 0.964 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.964 * [taylor]: Taking taylor expansion of 0.5 in n 0.964 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.964 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.964 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.964 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.964 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.964 * [taylor]: Taking taylor expansion of 1.0 in n 0.964 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.964 * [taylor]: Taking taylor expansion of -2.0 in n 0.964 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.964 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.964 * [taylor]: Taking taylor expansion of 1.0 in n 0.964 * [taylor]: Taking taylor expansion of (log PI) in n 0.964 * [taylor]: Taking taylor expansion of PI in n 0.965 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.965 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.965 * [taylor]: Taking taylor expansion of 1.0 in n 0.965 * [taylor]: Taking taylor expansion of (log n) in n 0.965 * [taylor]: Taking taylor expansion of n in n 0.966 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 0.966 * [taylor]: Taking taylor expansion of 1.0 in k 0.966 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 0.966 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 0.966 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 0.966 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.966 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.966 * [taylor]: Taking taylor expansion of -0.5 in k 0.966 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.966 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.966 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.966 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.966 * [taylor]: Taking taylor expansion of -2.0 in k 0.966 * [taylor]: Taking taylor expansion of PI in k 0.967 * [taylor]: Taking taylor expansion of (log n) in k 0.967 * [taylor]: Taking taylor expansion of n in k 0.967 * [taylor]: Taking taylor expansion of k in k 0.967 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.967 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.967 * [taylor]: Taking taylor expansion of -1 in k 0.967 * [taylor]: Taking taylor expansion of k in k 0.967 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.967 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.967 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.967 * [taylor]: Taking taylor expansion of 0.5 in k 0.967 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.967 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.967 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.967 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.967 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.967 * [taylor]: Taking taylor expansion of 1.0 in k 0.967 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.967 * [taylor]: Taking taylor expansion of -2.0 in k 0.967 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.967 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.967 * [taylor]: Taking taylor expansion of 1.0 in k 0.967 * [taylor]: Taking taylor expansion of (log PI) in k 0.967 * [taylor]: Taking taylor expansion of PI in k 0.968 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.968 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.968 * [taylor]: Taking taylor expansion of 1.0 in k 0.968 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.968 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.968 * [taylor]: Taking taylor expansion of 1.0 in k 0.968 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.968 * [taylor]: Taking taylor expansion of (log 1) in k 0.968 * [taylor]: Taking taylor expansion of 1 in k 0.968 * [taylor]: Taking taylor expansion of (log n) in k 0.968 * [taylor]: Taking taylor expansion of n in k 0.973 * [taylor]: Taking taylor expansion of 0 in k 0.981 * [taylor]: Taking taylor expansion of 0 in k 0.992 * [taylor]: Taking taylor expansion of 0 in k 0.993 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.993 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.993 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.993 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.993 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.993 * [taylor]: Taking taylor expansion of 0.5 in n 0.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.993 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.993 * [taylor]: Taking taylor expansion of 2.0 in n 0.993 * [taylor]: Taking taylor expansion of (* n PI) in n 0.993 * [taylor]: Taking taylor expansion of n in n 0.993 * [taylor]: Taking taylor expansion of PI in n 0.994 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.994 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.994 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.994 * [taylor]: Taking taylor expansion of 0.5 in n 0.994 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.994 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.994 * [taylor]: Taking taylor expansion of 2.0 in n 0.994 * [taylor]: Taking taylor expansion of (* n PI) in n 0.994 * [taylor]: Taking taylor expansion of n in n 0.994 * [taylor]: Taking taylor expansion of PI in n 1.001 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.001 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.001 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.001 * [taylor]: Taking taylor expansion of 0.5 in n 1.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.001 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.001 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.001 * [taylor]: Taking taylor expansion of 0.5 in n 1.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.008 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.009 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.009 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.009 * [taylor]: Taking taylor expansion of 0.5 in n 1.009 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.009 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.009 * [taylor]: Taking taylor expansion of -2.0 in n 1.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.009 * [taylor]: Taking taylor expansion of PI in n 1.009 * [taylor]: Taking taylor expansion of n in n 1.009 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.009 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.009 * [taylor]: Taking taylor expansion of 0.5 in n 1.009 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.009 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.009 * [taylor]: Taking taylor expansion of -2.0 in n 1.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.009 * [taylor]: Taking taylor expansion of PI in n 1.009 * [taylor]: Taking taylor expansion of n in n 1.016 * * * [progress]: simplifying candidates 1.018 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (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))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 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 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 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 PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 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 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (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))))) 1.028 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 1.043 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 1.111 * * [simplify]: iteration 2 : 5001 enodes (cost 1188 ) 1.118 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (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))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log 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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 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 PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.119 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 3 / 4 1.276 * * * [progress]: picking best candidate 1.319 * * * * [pick]: Picked # 1.319 * * * [progress]: localizing error 1.340 * * * [progress]: generating rewritten candidates 1.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 1.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.357 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.361 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.378 * * * [progress]: generating series expansions 1.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 1.378 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 1.378 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.378 * [taylor]: Taking taylor expansion of 2.0 in n 1.378 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.378 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.378 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of PI in n 1.378 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.378 * [taylor]: Taking taylor expansion of 2.0 in n 1.378 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.378 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.378 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of PI in n 1.380 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 1.380 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.380 * [taylor]: Taking taylor expansion of 2.0 in n 1.380 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.380 * [taylor]: Taking taylor expansion of PI in n 1.380 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.380 * [taylor]: Taking taylor expansion of 2.0 in n 1.380 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.380 * [taylor]: Taking taylor expansion of PI in n 1.382 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 1.382 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.382 * [taylor]: Taking taylor expansion of 2.0 in n 1.382 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.382 * [taylor]: Taking taylor expansion of PI in n 1.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.382 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.382 * [taylor]: Taking taylor expansion of -1 in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.382 * [taylor]: Taking taylor expansion of 2.0 in n 1.382 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.382 * [taylor]: Taking taylor expansion of PI in n 1.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.382 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.382 * [taylor]: Taking taylor expansion of -1 in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.383 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.383 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.383 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.383 * [taylor]: Taking taylor expansion of 2.0 in n 1.383 * [taylor]: Taking taylor expansion of (* n PI) in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.383 * [taylor]: Taking taylor expansion of PI in n 1.383 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.383 * [taylor]: Taking taylor expansion of 2.0 in n 1.383 * [taylor]: Taking taylor expansion of (* n PI) in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.383 * [taylor]: Taking taylor expansion of PI in n 1.384 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.384 * [taylor]: Taking taylor expansion of 2.0 in n 1.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.384 * [taylor]: Taking taylor expansion of PI in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.384 * [taylor]: Taking taylor expansion of 2.0 in n 1.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.385 * [taylor]: Taking taylor expansion of PI in n 1.385 * [taylor]: Taking taylor expansion of n in n 1.385 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 1.385 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.385 * [taylor]: Taking taylor expansion of 2.0 in n 1.385 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.385 * [taylor]: Taking taylor expansion of PI in n 1.385 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.385 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.385 * [taylor]: Taking taylor expansion of -1 in n 1.386 * [taylor]: Taking taylor expansion of n in n 1.386 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.386 * [taylor]: Taking taylor expansion of 2.0 in n 1.386 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.386 * [taylor]: Taking taylor expansion of PI in n 1.386 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.386 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.386 * [taylor]: Taking taylor expansion of -1 in n 1.386 * [taylor]: Taking taylor expansion of n in n 1.388 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.388 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.389 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.389 * [taylor]: Taking taylor expansion of 2.0 in n 1.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.389 * [taylor]: Taking taylor expansion of PI in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.389 * [taylor]: Taking taylor expansion of 2.0 in n 1.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.389 * [taylor]: Taking taylor expansion of PI in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.390 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.390 * [taylor]: Taking taylor expansion of -2.0 in n 1.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.390 * [taylor]: Taking taylor expansion of -2.0 in n 1.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.391 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.391 * [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 1.391 * [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 1.391 * [taylor]: Taking taylor expansion of 1.0 in k 1.391 * [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 1.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.391 * [taylor]: Taking taylor expansion of k in k 1.391 * [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 1.391 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.391 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.391 * [taylor]: Taking taylor expansion of 0.5 in k 1.391 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.391 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.391 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.391 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.391 * [taylor]: Taking taylor expansion of 1.0 in k 1.391 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.391 * [taylor]: Taking taylor expansion of 2.0 in k 1.391 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.391 * [taylor]: Taking taylor expansion of 1.0 in k 1.391 * [taylor]: Taking taylor expansion of (log n) in k 1.391 * [taylor]: Taking taylor expansion of n in k 1.391 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.392 * [taylor]: Taking taylor expansion of 1.0 in k 1.392 * [taylor]: Taking taylor expansion of (log PI) in k 1.392 * [taylor]: Taking taylor expansion of PI in k 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.392 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.392 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.392 * [taylor]: Taking taylor expansion of 0.5 in k 1.392 * [taylor]: Taking taylor expansion of k in k 1.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.393 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.393 * [taylor]: Taking taylor expansion of 2.0 in k 1.393 * [taylor]: Taking taylor expansion of (* n PI) in k 1.393 * [taylor]: Taking taylor expansion of n in k 1.393 * [taylor]: Taking taylor expansion of PI in k 1.393 * [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 1.393 * [taylor]: Taking taylor expansion of 1.0 in n 1.393 * [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 1.393 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.393 * [taylor]: Taking taylor expansion of k in n 1.393 * [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 1.393 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.393 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.393 * [taylor]: Taking taylor expansion of 0.5 in n 1.393 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.393 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.393 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.393 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.393 * [taylor]: Taking taylor expansion of 1.0 in n 1.393 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.393 * [taylor]: Taking taylor expansion of 2.0 in n 1.393 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.393 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.394 * [taylor]: Taking taylor expansion of 1.0 in n 1.394 * [taylor]: Taking taylor expansion of (log n) in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.394 * [taylor]: Taking taylor expansion of 1.0 in n 1.394 * [taylor]: Taking taylor expansion of (log PI) in n 1.394 * [taylor]: Taking taylor expansion of PI in n 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.395 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.395 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.395 * [taylor]: Taking taylor expansion of 0.5 in n 1.395 * [taylor]: Taking taylor expansion of k in n 1.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.395 * [taylor]: Taking taylor expansion of 2.0 in n 1.395 * [taylor]: Taking taylor expansion of (* n PI) in n 1.395 * [taylor]: Taking taylor expansion of n in n 1.395 * [taylor]: Taking taylor expansion of PI in n 1.395 * [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 1.395 * [taylor]: Taking taylor expansion of 1.0 in n 1.395 * [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 1.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.395 * [taylor]: Taking taylor expansion of k in n 1.395 * [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 1.395 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.395 * [taylor]: Taking taylor expansion of 0.5 in n 1.395 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.395 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.395 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.395 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.395 * [taylor]: Taking taylor expansion of 1.0 in n 1.396 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.396 * [taylor]: Taking taylor expansion of 2.0 in n 1.396 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.396 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.396 * [taylor]: Taking taylor expansion of 1.0 in n 1.396 * [taylor]: Taking taylor expansion of (log n) in n 1.396 * [taylor]: Taking taylor expansion of n in n 1.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.396 * [taylor]: Taking taylor expansion of 1.0 in n 1.396 * [taylor]: Taking taylor expansion of (log PI) in n 1.396 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.397 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.397 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.397 * [taylor]: Taking taylor expansion of 0.5 in n 1.397 * [taylor]: Taking taylor expansion of k in n 1.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.397 * [taylor]: Taking taylor expansion of 2.0 in n 1.397 * [taylor]: Taking taylor expansion of (* n PI) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.398 * [taylor]: Taking taylor expansion of 1.0 in k 1.398 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.398 * [taylor]: Taking taylor expansion of k in k 1.398 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.398 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.398 * [taylor]: Taking taylor expansion of 0.5 in k 1.398 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.398 * [taylor]: Taking taylor expansion of k in k 1.398 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.398 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.399 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.399 * [taylor]: Taking taylor expansion of 2.0 in k 1.399 * [taylor]: Taking taylor expansion of PI in k 1.399 * [taylor]: Taking taylor expansion of (log n) in k 1.399 * [taylor]: Taking taylor expansion of n in k 1.399 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.399 * [taylor]: Taking taylor expansion of 0.5 in k 1.399 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.399 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.399 * [taylor]: Taking taylor expansion of 1.0 in k 1.399 * [taylor]: Taking taylor expansion of (log PI) in k 1.399 * [taylor]: Taking taylor expansion of PI in k 1.399 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.399 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.399 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.399 * [taylor]: Taking taylor expansion of 1.0 in k 1.399 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.399 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.399 * [taylor]: Taking taylor expansion of 1.0 in k 1.400 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.400 * [taylor]: Taking taylor expansion of (log 1) in k 1.400 * [taylor]: Taking taylor expansion of 1 in k 1.400 * [taylor]: Taking taylor expansion of (log n) in k 1.400 * [taylor]: Taking taylor expansion of n in k 1.400 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.400 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.400 * [taylor]: Taking taylor expansion of 1.0 in k 1.400 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.400 * [taylor]: Taking taylor expansion of 2.0 in k 1.404 * [taylor]: Taking taylor expansion of 0 in k 1.412 * [taylor]: Taking taylor expansion of 0 in k 1.426 * [taylor]: Taking taylor expansion of 0 in k 1.452 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.453 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.453 * [taylor]: Taking taylor expansion of k in k 1.453 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.453 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.453 * [taylor]: Taking taylor expansion of 0.5 in k 1.453 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.453 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.453 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.453 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.453 * [taylor]: Taking taylor expansion of 2.0 in k 1.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.453 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (log PI) in k 1.453 * [taylor]: Taking taylor expansion of PI in k 1.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.453 * [taylor]: Taking taylor expansion of 1.0 in k 1.453 * [taylor]: Taking taylor expansion of (log n) in k 1.453 * [taylor]: Taking taylor expansion of n in k 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.454 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.454 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.454 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.454 * [taylor]: Taking taylor expansion of 0.5 in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.454 * [taylor]: Taking taylor expansion of 2.0 in k 1.454 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.454 * [taylor]: Taking taylor expansion of PI in k 1.454 * [taylor]: Taking taylor expansion of n in k 1.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.454 * [taylor]: Taking taylor expansion of 1.0 in n 1.454 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.454 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.454 * [taylor]: Taking taylor expansion of k in n 1.455 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.455 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.455 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.455 * [taylor]: Taking taylor expansion of 0.5 in n 1.455 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.455 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.455 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.455 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.455 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.455 * [taylor]: Taking taylor expansion of 1.0 in n 1.455 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.455 * [taylor]: Taking taylor expansion of 2.0 in n 1.455 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.455 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.455 * [taylor]: Taking taylor expansion of 1.0 in n 1.455 * [taylor]: Taking taylor expansion of (log PI) in n 1.455 * [taylor]: Taking taylor expansion of PI in n 1.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.455 * [taylor]: Taking taylor expansion of 1.0 in n 1.455 * [taylor]: Taking taylor expansion of (log n) in n 1.455 * [taylor]: Taking taylor expansion of n in n 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.456 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.456 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.456 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.456 * [taylor]: Taking taylor expansion of 0.5 in n 1.456 * [taylor]: Taking taylor expansion of k in n 1.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.456 * [taylor]: Taking taylor expansion of 2.0 in n 1.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.456 * [taylor]: Taking taylor expansion of PI in n 1.456 * [taylor]: Taking taylor expansion of n in n 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.457 * [taylor]: Taking taylor expansion of 1.0 in n 1.457 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.457 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.457 * [taylor]: Taking taylor expansion of k in n 1.457 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.457 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.457 * [taylor]: Taking taylor expansion of 0.5 in n 1.457 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.457 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.457 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.457 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.457 * [taylor]: Taking taylor expansion of 1.0 in n 1.457 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.457 * [taylor]: Taking taylor expansion of 2.0 in n 1.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.457 * [taylor]: Taking taylor expansion of 1.0 in n 1.457 * [taylor]: Taking taylor expansion of (log PI) in n 1.457 * [taylor]: Taking taylor expansion of PI in n 1.457 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.457 * [taylor]: Taking taylor expansion of 1.0 in n 1.457 * [taylor]: Taking taylor expansion of (log n) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.458 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.458 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.458 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.458 * [taylor]: Taking taylor expansion of 0.5 in n 1.458 * [taylor]: Taking taylor expansion of k in n 1.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.458 * [taylor]: Taking taylor expansion of 2.0 in n 1.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.458 * [taylor]: Taking taylor expansion of PI in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.460 * [taylor]: Taking taylor expansion of 1.0 in k 1.460 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.460 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.460 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.460 * [taylor]: Taking taylor expansion of 0.5 in k 1.460 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.460 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.460 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.460 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.460 * [taylor]: Taking taylor expansion of 2.0 in k 1.460 * [taylor]: Taking taylor expansion of PI in k 1.460 * [taylor]: Taking taylor expansion of (log n) in k 1.460 * [taylor]: Taking taylor expansion of n in k 1.460 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.460 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.460 * [taylor]: Taking taylor expansion of 0.5 in k 1.460 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.460 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.460 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.460 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.460 * [taylor]: Taking taylor expansion of 1.0 in k 1.460 * [taylor]: Taking taylor expansion of (log PI) in k 1.461 * [taylor]: Taking taylor expansion of PI in k 1.461 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.461 * [taylor]: Taking taylor expansion of 2.0 in k 1.461 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.461 * [taylor]: Taking taylor expansion of (log 1) in k 1.461 * [taylor]: Taking taylor expansion of 1 in k 1.461 * [taylor]: Taking taylor expansion of (log n) in k 1.461 * [taylor]: Taking taylor expansion of n in k 1.466 * [taylor]: Taking taylor expansion of 0 in k 1.474 * [taylor]: Taking taylor expansion of 0 in k 1.484 * [taylor]: Taking taylor expansion of 0 in k 1.494 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (n k) around 0 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 1.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 1.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 1.494 * [taylor]: Taking taylor expansion of 0.5 in k 1.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 1.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.494 * [taylor]: Taking taylor expansion of 2.0 in k 1.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (log PI) in k 1.494 * [taylor]: Taking taylor expansion of PI in k 1.495 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 1.495 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.495 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.495 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.495 * [taylor]: Taking taylor expansion of -1 in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.495 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.495 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.495 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.495 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.495 * [taylor]: Taking taylor expansion of -0.5 in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.495 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.495 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.495 * [taylor]: Taking taylor expansion of -2.0 in k 1.495 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.495 * [taylor]: Taking taylor expansion of PI in k 1.495 * [taylor]: Taking taylor expansion of n in k 1.495 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 1.495 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.496 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.496 * [taylor]: Taking taylor expansion of -1 in k 1.496 * [taylor]: Taking taylor expansion of n in k 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 1.496 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.496 * [taylor]: Taking taylor expansion of 0.5 in n 1.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log PI) in n 1.496 * [taylor]: Taking taylor expansion of PI in n 1.497 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 1.497 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.497 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.497 * [taylor]: Taking taylor expansion of -1 in n 1.497 * [taylor]: Taking taylor expansion of k in n 1.497 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.497 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.497 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.497 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.497 * [taylor]: Taking taylor expansion of -0.5 in n 1.497 * [taylor]: Taking taylor expansion of k in n 1.497 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.497 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.497 * [taylor]: Taking taylor expansion of -2.0 in n 1.497 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.497 * [taylor]: Taking taylor expansion of PI in n 1.497 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 1.498 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 1.498 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.498 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.498 * [taylor]: Taking taylor expansion of -1 in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 1.498 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.498 * [taylor]: Taking taylor expansion of 0.5 in n 1.498 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.498 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.498 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.498 * [taylor]: Taking taylor expansion of 2.0 in n 1.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.499 * [taylor]: Taking taylor expansion of 1.0 in n 1.499 * [taylor]: Taking taylor expansion of (log PI) in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.499 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 1.499 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.499 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.499 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.499 * [taylor]: Taking taylor expansion of -1 in n 1.499 * [taylor]: Taking taylor expansion of k in n 1.499 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.499 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.499 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.499 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.499 * [taylor]: Taking taylor expansion of -0.5 in n 1.499 * [taylor]: Taking taylor expansion of k in n 1.499 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.499 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.500 * [taylor]: Taking taylor expansion of -2.0 in n 1.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.500 * [taylor]: Taking taylor expansion of PI in n 1.500 * [taylor]: Taking taylor expansion of n in n 1.500 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 1.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 1.500 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 1.500 * [taylor]: Taking taylor expansion of 1.0 in n 1.500 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 1.500 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 1.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 1.500 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 1.500 * [taylor]: Taking taylor expansion of 1.0 in n 1.500 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 1.500 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.500 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.500 * [taylor]: Taking taylor expansion of -1 in n 1.500 * [taylor]: Taking taylor expansion of n in n 1.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (pow NAN 1.0) 1.0) (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (* (pow (pow NAN 1.0) 1.0) (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) in k 1.502 * [taylor]: Taking taylor expansion of (pow (pow NAN 1.0) 1.0) in k 1.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow NAN 1.0)))) in k 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow NAN 1.0))) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (log (pow NAN 1.0)) in k 1.502 * [taylor]: Taking taylor expansion of (pow NAN 1.0) in k 1.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log NAN))) in k 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (log NAN)) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (log NAN) in k 1.502 * [taylor]: Taking taylor expansion of NAN in k 1.502 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) in k 1.502 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.502 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.502 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.502 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.502 * [taylor]: Taking taylor expansion of -0.5 in k 1.502 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.502 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.502 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.502 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.502 * [taylor]: Taking taylor expansion of -2.0 in k 1.502 * [taylor]: Taking taylor expansion of PI in k 1.502 * [taylor]: Taking taylor expansion of (log n) in k 1.502 * [taylor]: Taking taylor expansion of n in k 1.502 * [taylor]: Taking taylor expansion of k in k 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.502 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.503 * [taylor]: Taking taylor expansion of -1 in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.503 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.503 * [taylor]: Taking taylor expansion of 0.5 in k 1.503 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.503 * [taylor]: Taking taylor expansion of 1.0 in k 1.503 * [taylor]: Taking taylor expansion of (log PI) in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.503 * [taylor]: Taking taylor expansion of 1.0 in k 1.503 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.503 * [taylor]: Taking taylor expansion of 2.0 in k 1.509 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in k 1.509 * [taylor]: Taking taylor expansion of 1.0 in k 1.509 * [taylor]: Taking taylor expansion of (* (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in k 1.509 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.509 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.509 * [taylor]: Taking taylor expansion of NAN in k 1.509 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.509 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.509 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.509 * [taylor]: Taking taylor expansion of -0.5 in k 1.509 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.509 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.509 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.509 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.509 * [taylor]: Taking taylor expansion of -2.0 in k 1.509 * [taylor]: Taking taylor expansion of PI in k 1.509 * [taylor]: Taking taylor expansion of (log n) in k 1.509 * [taylor]: Taking taylor expansion of n in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.509 * [taylor]: Taking taylor expansion of -1 in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 1.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 1.510 * [taylor]: Taking taylor expansion of 0.5 in k 1.510 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 1.510 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.510 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.510 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.510 * [taylor]: Taking taylor expansion of 2.0 in k 1.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of (log PI) in k 1.510 * [taylor]: Taking taylor expansion of PI in k 1.516 * * * [progress]: simplifying candidates 1.519 * [simplify]: Simplifying using # : (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (+ (* 2.0 (* (pow NAN 3) (* (pow n 2) PI))) (+ (* 2.0 (* NAN (* n PI))) (* 2.0 (* (pow NAN 5) (* (pow n 3) PI))))) (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (+ (* 2.0 (/ (* (pow NAN 3) PI) n)) (* 2.0 (* NAN PI)))) (- (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (* 2.0 (* NAN PI))) (* 2.0 (/ (* (pow NAN 3) PI) n))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 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 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 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 PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 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 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (- (+ (* 1.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 1.0 (* (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (* 1.0 (* (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 1.532 * * [simplify]: iteration 0 : 1104 enodes (cost 1701 ) 1.550 * * [simplify]: iteration 1 : 5002 enodes (cost 1452 ) 1.558 * [simplify]: Simplified to: (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (neg 1.0)) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 2.0 (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI))))) (* 2.0 (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI)))) (* 2.0 (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log 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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 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 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* 1.0 (- (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (+ (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (* (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) 1.559 * * * [progress]: adding candidates to table 1.707 * * [progress]: iteration 4 / 4 1.707 * * * [progress]: picking best candidate 1.747 * * * * [pick]: Picked # 1.747 * * * [progress]: localizing error 1.765 * * * [progress]: generating rewritten candidates 1.765 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.780 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.785 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.794 * * * [progress]: generating series expansions 1.794 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.795 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.795 * [taylor]: Taking taylor expansion of 1.0 in n 1.795 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.795 * [taylor]: Taking taylor expansion of k in n 1.795 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.795 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.795 * [taylor]: Taking taylor expansion of 0.5 in n 1.795 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.795 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.795 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.795 * [taylor]: Taking taylor expansion of 1.0 in n 1.795 * [taylor]: Taking taylor expansion of (log PI) in n 1.795 * [taylor]: Taking taylor expansion of PI in n 1.795 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.795 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.795 * [taylor]: Taking taylor expansion of 1.0 in n 1.795 * [taylor]: Taking taylor expansion of (log n) in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.795 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.796 * [taylor]: Taking taylor expansion of 2.0 in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 1.796 * [taylor]: Taking taylor expansion of 1.0 in k 1.796 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.796 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.796 * [taylor]: Taking taylor expansion of k in k 1.797 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.797 * [taylor]: Taking taylor expansion of 0.5 in k 1.797 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.797 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.797 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.797 * [taylor]: Taking taylor expansion of 1.0 in k 1.797 * [taylor]: Taking taylor expansion of (log PI) in k 1.797 * [taylor]: Taking taylor expansion of PI in k 1.797 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.797 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.797 * [taylor]: Taking taylor expansion of 1.0 in k 1.797 * [taylor]: Taking taylor expansion of (log n) in k 1.797 * [taylor]: Taking taylor expansion of n in k 1.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.797 * [taylor]: Taking taylor expansion of 1.0 in k 1.797 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.797 * [taylor]: Taking taylor expansion of 2.0 in k 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.798 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.798 * [taylor]: Taking taylor expansion of k in k 1.798 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.798 * [taylor]: Taking taylor expansion of 0.5 in k 1.798 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.798 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.798 * [taylor]: Taking taylor expansion of (log PI) in k 1.798 * [taylor]: Taking taylor expansion of PI in k 1.798 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.798 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.798 * [taylor]: Taking taylor expansion of (log n) in k 1.798 * [taylor]: Taking taylor expansion of n in k 1.798 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.798 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.798 * [taylor]: Taking taylor expansion of 2.0 in k 1.800 * [taylor]: Taking taylor expansion of 0 in n 1.802 * [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 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.802 * [taylor]: Taking taylor expansion of NAN in n 1.802 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.802 * [taylor]: Taking taylor expansion of 0.5 in n 1.802 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.802 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.802 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log PI) in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.802 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.802 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log n) in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.802 * [taylor]: Taking taylor expansion of 2.0 in n 1.807 * [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 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [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 1.807 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.807 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.807 * [taylor]: Taking taylor expansion of 0.5 in n 1.807 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.807 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.807 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.807 * [taylor]: Taking taylor expansion of 2.0 in n 1.807 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.807 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [taylor]: Taking taylor expansion of (log n) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [taylor]: Taking taylor expansion of (log PI) in n 1.807 * [taylor]: Taking taylor expansion of PI in n 1.808 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.808 * [taylor]: Taking taylor expansion of NAN in n 1.815 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.815 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.815 * [taylor]: Taking taylor expansion of NAN in n 1.815 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.815 * [taylor]: Taking taylor expansion of 0.5 in n 1.815 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.815 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.815 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.815 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of (log PI) in n 1.815 * [taylor]: Taking taylor expansion of PI in n 1.815 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.815 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.816 * [taylor]: Taking taylor expansion of 1.0 in n 1.816 * [taylor]: Taking taylor expansion of (log n) in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.816 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.816 * [taylor]: Taking taylor expansion of 1.0 in n 1.816 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.816 * [taylor]: Taking taylor expansion of 2.0 in n 1.819 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.819 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.819 * [taylor]: Taking taylor expansion of k in n 1.819 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.819 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.819 * [taylor]: Taking taylor expansion of 0.5 in n 1.819 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.819 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.819 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (log PI) in n 1.819 * [taylor]: Taking taylor expansion of PI in n 1.819 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.819 * [taylor]: Taking taylor expansion of 2.0 in n 1.819 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (log n) in n 1.819 * [taylor]: Taking taylor expansion of n in n 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 1.820 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.820 * [taylor]: Taking taylor expansion of k in k 1.820 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.820 * [taylor]: Taking taylor expansion of 0.5 in k 1.820 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.820 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.820 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [taylor]: Taking taylor expansion of (log PI) in k 1.820 * [taylor]: Taking taylor expansion of PI in k 1.821 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.821 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.821 * [taylor]: Taking taylor expansion of 1.0 in k 1.821 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.821 * [taylor]: Taking taylor expansion of 2.0 in k 1.821 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.821 * [taylor]: Taking taylor expansion of 1.0 in k 1.821 * [taylor]: Taking taylor expansion of (log n) in k 1.821 * [taylor]: Taking taylor expansion of n in k 1.822 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 1.822 * [taylor]: Taking taylor expansion of 1.0 in k 1.822 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 1.822 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.822 * [taylor]: Taking taylor expansion of k in k 1.822 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.822 * [taylor]: Taking taylor expansion of 0.5 in k 1.822 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.822 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.822 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.822 * [taylor]: Taking taylor expansion of 1.0 in k 1.822 * [taylor]: Taking taylor expansion of (log PI) in k 1.822 * [taylor]: Taking taylor expansion of PI 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 1.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.822 * [taylor]: Taking taylor expansion of 1.0 in k 1.822 * [taylor]: Taking taylor expansion of (log n) in k 1.822 * [taylor]: Taking taylor expansion of n in k 1.823 * [taylor]: Taking taylor expansion of 0 in n 1.825 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN)) in n 1.825 * [taylor]: Taking taylor expansion of 1.0 in n 1.825 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 1.826 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.826 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.826 * [taylor]: Taking taylor expansion of 0.5 in n 1.826 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.826 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.826 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.826 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.826 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.826 * [taylor]: Taking taylor expansion of 1.0 in n 1.826 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.826 * [taylor]: Taking taylor expansion of 2.0 in n 1.826 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.826 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.826 * [taylor]: Taking taylor expansion of 1.0 in n 1.826 * [taylor]: Taking taylor expansion of (log PI) in n 1.826 * [taylor]: Taking taylor expansion of PI in n 1.826 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.826 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.826 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.826 * [taylor]: Taking taylor expansion of 1.0 in n 1.826 * [taylor]: Taking taylor expansion of (log n) in n 1.826 * [taylor]: Taking taylor expansion of n in n 1.827 * [taylor]: Taking taylor expansion of NAN in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.831 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.831 * [taylor]: Taking taylor expansion of NAN in n 1.831 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.831 * [taylor]: Taking taylor expansion of 0.5 in n 1.831 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.831 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.831 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.831 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (log PI) in n 1.831 * [taylor]: Taking taylor expansion of PI in n 1.831 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.831 * [taylor]: Taking taylor expansion of 2.0 in n 1.831 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (log n) in n 1.831 * [taylor]: Taking taylor expansion of n in n 1.840 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5))) in n 1.840 * [taylor]: Taking taylor expansion of 1.0 in n 1.840 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5)) in n 1.840 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.840 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.840 * [taylor]: Taking taylor expansion of 0.5 in n 1.840 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.840 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.840 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.840 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.840 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.840 * [taylor]: Taking taylor expansion of 1.0 in n 1.840 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.840 * [taylor]: Taking taylor expansion of 2.0 in n 1.840 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.841 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [taylor]: Taking taylor expansion of (log PI) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.841 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [taylor]: Taking taylor expansion of (log n) in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.842 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.842 * [taylor]: Taking taylor expansion of NAN in n 1.844 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.844 * [taylor]: Taking taylor expansion of 1.0 in n 1.844 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.844 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1.844 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.844 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.844 * [taylor]: Taking taylor expansion of -1 in n 1.844 * [taylor]: Taking taylor expansion of k in n 1.844 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.844 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.844 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.844 * [taylor]: Taking taylor expansion of 0.5 in n 1.844 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.844 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.844 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.844 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.844 * [taylor]: Taking taylor expansion of 1.0 in n 1.844 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.844 * [taylor]: Taking taylor expansion of -2.0 in n 1.845 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.845 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.845 * [taylor]: Taking taylor expansion of 1.0 in n 1.845 * [taylor]: Taking taylor expansion of (log PI) in n 1.845 * [taylor]: Taking taylor expansion of PI in n 1.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.845 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.845 * [taylor]: Taking taylor expansion of 1.0 in n 1.845 * [taylor]: Taking taylor expansion of (log n) in n 1.845 * [taylor]: Taking taylor expansion of n in n 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.846 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.846 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.846 * [taylor]: Taking taylor expansion of -1 in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.846 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.846 * [taylor]: Taking taylor expansion of 0.5 in k 1.846 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.846 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.846 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.846 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.846 * [taylor]: Taking taylor expansion of -2.0 in k 1.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (log PI) in k 1.846 * [taylor]: Taking taylor expansion of PI in k 1.846 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (log n) in k 1.846 * [taylor]: Taking taylor expansion of n in k 1.847 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.847 * [taylor]: Taking taylor expansion of 1.0 in k 1.847 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.847 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.847 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.847 * [taylor]: Taking taylor expansion of -1 in k 1.847 * [taylor]: Taking taylor expansion of k in k 1.847 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.847 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.847 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.847 * [taylor]: Taking taylor expansion of 0.5 in k 1.847 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.847 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.848 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.848 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.848 * [taylor]: Taking taylor expansion of 1.0 in k 1.848 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.848 * [taylor]: Taking taylor expansion of -2.0 in k 1.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.848 * [taylor]: Taking taylor expansion of 1.0 in k 1.848 * [taylor]: Taking taylor expansion of (log PI) in k 1.848 * [taylor]: Taking taylor expansion of PI in k 1.848 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.848 * [taylor]: Taking taylor expansion of 1.0 in k 1.848 * [taylor]: Taking taylor expansion of (log n) in k 1.848 * [taylor]: Taking taylor expansion of n in k 1.849 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN))) in n 1.849 * [taylor]: Taking taylor expansion of 1.0 in n 1.849 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN)) in n 1.849 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.849 * [taylor]: Taking taylor expansion of 0.5 in n 1.849 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.849 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.849 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.849 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.849 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.849 * [taylor]: Taking taylor expansion of 1.0 in n 1.849 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.850 * [taylor]: Taking taylor expansion of -2.0 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 1.850 * [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 1.851 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 1.851 * [taylor]: Taking taylor expansion of NAN in n 1.854 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 1.854 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.854 * [taylor]: Taking taylor expansion of 1.0 in n 1.854 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.854 * [taylor]: Taking taylor expansion of NAN in n 1.854 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.854 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.854 * [taylor]: Taking taylor expansion of 0.5 in n 1.854 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.854 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.854 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.854 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.854 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.854 * [taylor]: Taking taylor expansion of 1.0 in n 1.854 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.854 * [taylor]: Taking taylor expansion of -2.0 in n 1.854 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.854 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.854 * [taylor]: Taking taylor expansion of 1.0 in n 1.854 * [taylor]: Taking taylor expansion of (log PI) in n 1.854 * [taylor]: Taking taylor expansion of PI in n 1.855 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.855 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.855 * [taylor]: Taking taylor expansion of 1.0 in n 1.855 * [taylor]: Taking taylor expansion of (log n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.862 * [taylor]: Taking taylor expansion of 0 in n 1.872 * [taylor]: Taking taylor expansion of 0 in n 1.873 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.873 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (* n PI) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (* n PI) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.874 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.875 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.875 * [taylor]: Taking taylor expansion of -2.0 in n 1.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.875 * [taylor]: Taking taylor expansion of -2.0 in n 1.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.876 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.876 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.877 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.878 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.881 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.881 * [taylor]: Taking taylor expansion of 1.0 in k 1.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.881 * [taylor]: Taking taylor expansion of k in k 1.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.881 * [taylor]: Taking taylor expansion of 1.0 in k 1.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.881 * [taylor]: Taking taylor expansion of k in k 1.882 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.882 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.882 * [taylor]: Taking taylor expansion of 1.0 in k 1.882 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.882 * [taylor]: Taking taylor expansion of k in k 1.882 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.882 * [taylor]: Taking taylor expansion of 1.0 in k 1.882 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.882 * [taylor]: Taking taylor expansion of k in k 1.883 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.883 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.883 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.883 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.883 * [taylor]: Taking taylor expansion of -1 in k 1.883 * [taylor]: Taking taylor expansion of k in k 1.883 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.883 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.884 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.884 * [taylor]: Taking taylor expansion of -1 in k 1.884 * [taylor]: Taking taylor expansion of k in k 1.888 * * * [progress]: simplifying candidates 1.890 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 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))) (* (/ 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)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (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) (- (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) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)))) (+ (* 1.0 (* (/ (pow NAN 5) (pow k 3)) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN k) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 NAN) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 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))) 1.897 * * [simplify]: iteration 0 : 621 enodes (cost 1038 ) 1.908 * * [simplify]: iteration 1 : 2688 enodes (cost 925 ) 1.950 * * [simplify]: iteration 2 : 5001 enodes (cost 915 ) 1.956 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 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))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 1.0 (* k (pow NAN 3)))))) (+ (* 1.0 (* (/ (pow NAN 3) (pow k 2)) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (* 1.0 (/ NAN k))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (* 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)) (* 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))) 1.956 * * * [progress]: adding candidates to table 2.172 * [progress]: [Phase 3 of 3] Extracting. 2.172 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 2.176 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 2.176 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # # #) 2.253 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 2.317 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # # #) 2.391 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # # #) 2.465 * * * [regime]: Found split indices: #