10.913 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.146 * * * [progress]: [2/2] Setting up program. 0.149 * [progress]: [Phase 2 of 3] Improving. 0.149 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.151 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.153 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.154 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.157 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.163 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.186 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.187 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.238 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.238 * [taylor]: Taking taylor expansion of 0.5 in k 0.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.238 * [taylor]: Taking taylor expansion of 1.0 in k 0.238 * [taylor]: Taking taylor expansion of k in k 0.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.238 * [taylor]: Taking taylor expansion of 2.0 in k 0.238 * [taylor]: Taking taylor expansion of (* n PI) in k 0.238 * [taylor]: Taking taylor expansion of n in k 0.238 * [taylor]: Taking taylor expansion of PI in k 0.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.239 * [taylor]: Taking taylor expansion of 0.5 in n 0.239 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.239 * [taylor]: Taking taylor expansion of 1.0 in n 0.239 * [taylor]: Taking taylor expansion of k in n 0.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.239 * [taylor]: Taking taylor expansion of 2.0 in n 0.239 * [taylor]: Taking taylor expansion of (* n PI) in n 0.239 * [taylor]: Taking taylor expansion of n in n 0.240 * [taylor]: Taking taylor expansion of PI in n 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.250 * [taylor]: Taking taylor expansion of 0.5 in n 0.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.250 * [taylor]: Taking taylor expansion of 1.0 in n 0.250 * [taylor]: Taking taylor expansion of k in n 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.250 * [taylor]: Taking taylor expansion of 2.0 in n 0.250 * [taylor]: Taking taylor expansion of (* n PI) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [taylor]: Taking taylor expansion of PI in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.256 * [taylor]: Taking taylor expansion of 0.5 in k 0.256 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.256 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.256 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.256 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.256 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.256 * [taylor]: Taking taylor expansion of 2.0 in k 0.256 * [taylor]: Taking taylor expansion of PI in k 0.257 * [taylor]: Taking taylor expansion of (log n) in k 0.257 * [taylor]: Taking taylor expansion of n in k 0.266 * [taylor]: Taking taylor expansion of 0 in k 0.282 * [taylor]: Taking taylor expansion of 0 in k 0.301 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.302 * [taylor]: Taking taylor expansion of 2.0 in k 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.302 * [taylor]: Taking taylor expansion of PI in k 0.302 * [taylor]: Taking taylor expansion of n in k 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.303 * [taylor]: Taking taylor expansion of 0.5 in n 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.303 * [taylor]: Taking taylor expansion of 1.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.307 * [taylor]: Taking taylor expansion of 0.5 in n 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.307 * [taylor]: Taking taylor expansion of k in n 0.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of 2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.311 * [taylor]: Taking taylor expansion of 0.5 in k 0.311 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 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 0.312 * [taylor]: Taking taylor expansion of (log n) in k 0.312 * [taylor]: Taking taylor expansion of n in k 0.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.312 * [taylor]: Taking taylor expansion of 1.0 in k 0.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.312 * [taylor]: Taking taylor expansion of k in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.344 * [taylor]: Taking taylor expansion of 0 in k 0.345 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.345 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.346 * [taylor]: Taking taylor expansion of 0.5 in k 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.346 * [taylor]: Taking taylor expansion of k in k 0.346 * [taylor]: Taking taylor expansion of 1.0 in k 0.346 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.346 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.346 * [taylor]: Taking taylor expansion of -2.0 in k 0.346 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.346 * [taylor]: Taking taylor expansion of PI in k 0.346 * [taylor]: Taking taylor expansion of n in k 0.347 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.347 * [taylor]: Taking taylor expansion of 0.5 in n 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.347 * [taylor]: Taking taylor expansion of k in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.347 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.347 * [taylor]: Taking taylor expansion of -2.0 in n 0.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.351 * [taylor]: Taking taylor expansion of 0.5 in n 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.351 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.351 * [taylor]: Taking taylor expansion of -2.0 in n 0.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.355 * [taylor]: Taking taylor expansion of 0.5 in k 0.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.355 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.355 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.355 * [taylor]: Taking taylor expansion of -2.0 in k 0.355 * [taylor]: Taking taylor expansion of PI in k 0.356 * [taylor]: Taking taylor expansion of (log n) in k 0.356 * [taylor]: Taking taylor expansion of n in k 0.365 * [taylor]: Taking taylor expansion of 0 in k 0.372 * [taylor]: Taking taylor expansion of 0 in k 0.381 * [taylor]: Taking taylor expansion of 0 in k 0.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.382 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.382 * [taylor]: Taking taylor expansion of 2.0 in n 0.382 * [taylor]: Taking taylor expansion of (* n PI) in n 0.382 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of PI in n 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.383 * [taylor]: Taking taylor expansion of 2.0 in n 0.383 * [taylor]: Taking taylor expansion of (* n PI) in n 0.383 * [taylor]: Taking taylor expansion of n in n 0.383 * [taylor]: Taking taylor expansion of PI in n 0.395 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.395 * [taylor]: Taking taylor expansion of 2.0 in n 0.395 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.404 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.405 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.405 * [taylor]: Taking taylor expansion of -2.0 in n 0.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.405 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of n in n 0.405 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.405 * [taylor]: Taking taylor expansion of -2.0 in n 0.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.405 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of n in n 0.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.420 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.421 * [taylor]: Taking taylor expansion of 1.0 in k 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.421 * [taylor]: Taking taylor expansion of k in k 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.422 * [taylor]: Taking taylor expansion of 1.0 in k 0.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.422 * [taylor]: Taking taylor expansion of k in k 0.434 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.434 * [taylor]: Taking taylor expansion of 1.0 in k 0.434 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.434 * [taylor]: Taking taylor expansion of k in k 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.435 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.446 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.446 * [taylor]: Taking taylor expansion of 1.0 in k 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.446 * [taylor]: Taking taylor expansion of -1 in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.448 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.448 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.448 * [taylor]: Taking taylor expansion of -1 in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.459 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.460 * [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 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.460 * [taylor]: Taking taylor expansion of k in n 0.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.460 * [taylor]: Taking taylor expansion of 0.5 in n 0.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of k in n 0.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.460 * [taylor]: Taking taylor expansion of (* n PI) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of PI in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.466 * [taylor]: Taking taylor expansion of 1.0 in k 0.466 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.466 * [taylor]: Taking taylor expansion of k in k 0.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.468 * [taylor]: Taking taylor expansion of 0.5 in k 0.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.468 * [taylor]: Taking taylor expansion of 2.0 in k 0.468 * [taylor]: Taking taylor expansion of (* n PI) in k 0.468 * [taylor]: Taking taylor expansion of n in k 0.468 * [taylor]: Taking taylor expansion of PI in k 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.469 * [taylor]: Taking taylor expansion of 1.0 in k 0.469 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.469 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.470 * [taylor]: Taking taylor expansion of 0.5 in k 0.470 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.470 * [taylor]: Taking taylor expansion of 2.0 in k 0.471 * [taylor]: Taking taylor expansion of (* n PI) in k 0.471 * [taylor]: Taking taylor expansion of n in k 0.471 * [taylor]: Taking taylor expansion of PI in k 0.472 * [taylor]: Taking taylor expansion of 0 in n 0.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.478 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.478 * [taylor]: Taking taylor expansion of +nan.0 in n 0.478 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.478 * [taylor]: Taking taylor expansion of 0.5 in n 0.478 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.478 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.478 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log PI) in n 0.478 * [taylor]: Taking taylor expansion of PI in n 0.480 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.480 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.480 * [taylor]: Taking taylor expansion of 1.0 in n 0.480 * [taylor]: Taking taylor expansion of (log n) in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.480 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.481 * [taylor]: Taking taylor expansion of 2.0 in n 0.500 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.501 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.501 * [taylor]: Taking taylor expansion of +nan.0 in n 0.501 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.501 * [taylor]: Taking taylor expansion of 0.5 in n 0.501 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log PI) in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log n) in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.503 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.514 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.514 * [taylor]: Taking taylor expansion of +nan.0 in n 0.514 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.514 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.514 * [taylor]: Taking taylor expansion of 0.5 in n 0.514 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.514 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.516 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.516 * [taylor]: Taking taylor expansion of 1.0 in n 0.516 * [taylor]: Taking taylor expansion of (log PI) in n 0.516 * [taylor]: Taking taylor expansion of PI in n 0.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log n) in n 0.518 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.523 * [taylor]: Taking taylor expansion of (* n PI) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of PI in n 0.573 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.573 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.573 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.573 * [taylor]: Taking taylor expansion of +nan.0 in n 0.573 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.573 * [taylor]: Taking taylor expansion of 0.5 in n 0.573 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.573 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.573 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.573 * [taylor]: Taking taylor expansion of 2.0 in n 0.575 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log n) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log PI) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.581 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.581 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.581 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.581 * [taylor]: Taking taylor expansion of +nan.0 in n 0.581 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.581 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.581 * [taylor]: Taking taylor expansion of 0.5 in n 0.581 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.581 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.581 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.581 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of (log PI) in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log n) in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.590 * [taylor]: Taking taylor expansion of (* n PI) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.593 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.593 * [taylor]: Taking taylor expansion of +nan.0 in n 0.593 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.593 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.593 * [taylor]: Taking taylor expansion of 0.5 in n 0.593 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.593 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.593 * [taylor]: Taking taylor expansion of 1.0 in n 0.593 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.593 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.595 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log PI) in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log n) in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (* n PI) in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.680 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.680 * [taylor]: Taking taylor expansion of 2.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.680 * [taylor]: Taking taylor expansion of PI in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.684 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.691 * [taylor]: Taking taylor expansion of 2.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.692 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.692 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.693 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.693 * [taylor]: Taking taylor expansion of 0.5 in k 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.693 * [taylor]: Taking taylor expansion of 1.0 in k 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.693 * [taylor]: Taking taylor expansion of k in k 0.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.694 * [taylor]: Taking taylor expansion of 2.0 in k 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.694 * [taylor]: Taking taylor expansion of PI in k 0.694 * [taylor]: Taking taylor expansion of n in k 0.695 * [taylor]: Taking taylor expansion of 0 in n 0.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.696 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.696 * [taylor]: Taking taylor expansion of +nan.0 in n 0.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.696 * [taylor]: Taking taylor expansion of 0.5 in n 0.696 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.696 * [taylor]: Taking taylor expansion of 2.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.697 * [taylor]: Taking taylor expansion of 1.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.706 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.706 * [taylor]: Taking taylor expansion of +nan.0 in n 0.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.706 * [taylor]: Taking taylor expansion of 0.5 in n 0.706 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.706 * [taylor]: Taking taylor expansion of 2.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.724 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.724 * [taylor]: Taking taylor expansion of +nan.0 in n 0.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.724 * [taylor]: Taking taylor expansion of 0.5 in n 0.724 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.724 * [taylor]: Taking taylor expansion of 2.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.735 * [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 0.735 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.735 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.735 * [taylor]: Taking taylor expansion of 0.5 in n 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.735 * [taylor]: Taking taylor expansion of k in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.735 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.735 * [taylor]: Taking taylor expansion of -2.0 in n 0.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.735 * [taylor]: Taking taylor expansion of PI in n 0.735 * [taylor]: Taking taylor expansion of n in n 0.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.739 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.739 * [taylor]: Taking taylor expansion of -1 in n 0.739 * [taylor]: Taking taylor expansion of k in n 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.740 * [taylor]: Taking taylor expansion of 0.5 in k 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.740 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.740 * [taylor]: Taking taylor expansion of -2.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.740 * [taylor]: Taking taylor expansion of n in k 0.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.741 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.741 * [taylor]: Taking taylor expansion of -1 in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.742 * [taylor]: Taking taylor expansion of 1.0 in k 0.742 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.743 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.743 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.743 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.743 * [taylor]: Taking taylor expansion of 0.5 in k 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.743 * [taylor]: Taking taylor expansion of k in k 0.743 * [taylor]: Taking taylor expansion of 1.0 in k 0.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.743 * [taylor]: Taking taylor expansion of -2.0 in k 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.743 * [taylor]: Taking taylor expansion of PI in k 0.743 * [taylor]: Taking taylor expansion of n in k 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.744 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.744 * [taylor]: Taking taylor expansion of -1 in k 0.744 * [taylor]: Taking taylor expansion of k in k 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.746 * [taylor]: Taking taylor expansion of +nan.0 in n 0.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.746 * [taylor]: Taking taylor expansion of 1.0 in n 0.746 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.746 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.746 * [taylor]: Taking taylor expansion of -2.0 in n 0.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.746 * [taylor]: Taking taylor expansion of PI in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.755 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.755 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.755 * [taylor]: Taking taylor expansion of +nan.0 in n 0.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.755 * [taylor]: Taking taylor expansion of 0.5 in n 0.755 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.755 * [taylor]: Taking taylor expansion of k in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.755 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.756 * [taylor]: Taking taylor expansion of -2.0 in n 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.756 * [taylor]: Taking taylor expansion of PI in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.774 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.774 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.774 * [taylor]: Taking taylor expansion of +nan.0 in n 0.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.774 * [taylor]: Taking taylor expansion of 0.5 in n 0.774 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.774 * [taylor]: Taking taylor expansion of k in n 0.774 * [taylor]: Taking taylor expansion of 1.0 in n 0.774 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.774 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.774 * [taylor]: Taking taylor expansion of -2.0 in n 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.774 * [taylor]: Taking taylor expansion of PI in n 0.774 * [taylor]: Taking taylor expansion of n in n 0.789 * * * [progress]: simplifying candidates 0.792 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) 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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))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.890 * * * [progress]: adding candidates to table 1.330 * * [progress]: iteration 2 / 4 1.330 * * * [progress]: picking best candidate 1.357 * * * * [pick]: Picked # 1.357 * * * [progress]: localizing error 1.375 * * * [progress]: generating rewritten candidates 1.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.387 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.404 * * * [progress]: generating series expansions 1.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.406 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.406 * [taylor]: Taking taylor expansion of 0.5 in n 1.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.406 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (* n PI) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.411 * [taylor]: Taking taylor expansion of 0.5 in n 1.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.411 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.411 * [taylor]: Taking taylor expansion of 2.0 in n 1.411 * [taylor]: Taking taylor expansion of (* n PI) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.495 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.495 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.495 * [taylor]: Taking taylor expansion of 0.5 in n 1.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.495 * [taylor]: Taking taylor expansion of 2.0 in n 1.495 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.495 * [taylor]: Taking taylor expansion of PI in n 1.495 * [taylor]: Taking taylor expansion of n in n 1.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.499 * [taylor]: Taking taylor expansion of 0.5 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 1.499 * [taylor]: Taking taylor expansion of 2.0 in n 1.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.499 * [taylor]: Taking taylor expansion of n in n 1.580 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.580 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.581 * [taylor]: Taking taylor expansion of 0.5 in n 1.581 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.581 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.581 * [taylor]: Taking taylor expansion of -2.0 in n 1.581 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.584 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.584 * [taylor]: Taking taylor expansion of 0.5 in n 1.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.584 * [taylor]: Taking taylor expansion of -2.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.664 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.665 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.665 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.665 * [taylor]: Taking taylor expansion of 2.0 in n 1.665 * [taylor]: Taking taylor expansion of (* n PI) in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.665 * [taylor]: Taking taylor expansion of 2.0 in n 1.665 * [taylor]: Taking taylor expansion of (* n PI) in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.677 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.687 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.687 * [taylor]: Taking taylor expansion of -2.0 in n 1.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.687 * [taylor]: Taking taylor expansion of -2.0 in n 1.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.696 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.696 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.696 * [taylor]: Taking taylor expansion of 2.0 in n 1.696 * [taylor]: Taking taylor expansion of (* n PI) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.696 * [taylor]: Taking taylor expansion of 2.0 in n 1.696 * [taylor]: Taking taylor expansion of (* n PI) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.709 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.709 * [taylor]: Taking taylor expansion of 2.0 in n 1.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.709 * [taylor]: Taking taylor expansion of 2.0 in n 1.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.724 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.725 * [taylor]: Taking taylor expansion of -2.0 in n 1.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.725 * [taylor]: Taking taylor expansion of PI in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.734 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.734 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.734 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.734 * [taylor]: Taking taylor expansion of 0.5 in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.734 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.734 * [taylor]: Taking taylor expansion of 2.0 in k 1.734 * [taylor]: Taking taylor expansion of (* n PI) in k 1.734 * [taylor]: Taking taylor expansion of n in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.737 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.737 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.737 * [taylor]: Taking taylor expansion of 0.5 in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.737 * [taylor]: Taking taylor expansion of 2.0 in n 1.737 * [taylor]: Taking taylor expansion of (* n PI) in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of PI in n 1.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.742 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.742 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.742 * [taylor]: Taking taylor expansion of 0.5 in n 1.742 * [taylor]: Taking taylor expansion of k in n 1.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.742 * [taylor]: Taking taylor expansion of 2.0 in n 1.742 * [taylor]: Taking taylor expansion of (* n PI) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.748 * [taylor]: Taking taylor expansion of 0.5 in k 1.748 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.748 * [taylor]: Taking taylor expansion of k in k 1.748 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.748 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.748 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.748 * [taylor]: Taking taylor expansion of 2.0 in k 1.748 * [taylor]: Taking taylor expansion of PI in k 1.749 * [taylor]: Taking taylor expansion of (log n) in k 1.749 * [taylor]: Taking taylor expansion of n in k 1.759 * [taylor]: Taking taylor expansion of 0 in k 1.768 * [taylor]: Taking taylor expansion of 0 in k 1.783 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.783 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.783 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.783 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.783 * [taylor]: Taking taylor expansion of 0.5 in k 1.783 * [taylor]: Taking taylor expansion of k in k 1.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.783 * [taylor]: Taking taylor expansion of 2.0 in k 1.783 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.783 * [taylor]: Taking taylor expansion of PI in k 1.783 * [taylor]: Taking taylor expansion of n in k 1.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.784 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.784 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.784 * [taylor]: Taking taylor expansion of 0.5 in n 1.784 * [taylor]: Taking taylor expansion of k in n 1.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.784 * [taylor]: Taking taylor expansion of 2.0 in n 1.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.784 * [taylor]: Taking taylor expansion of PI in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.787 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.787 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.787 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.787 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.787 * [taylor]: Taking taylor expansion of 0.5 in n 1.788 * [taylor]: Taking taylor expansion of k in n 1.788 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.788 * [taylor]: Taking taylor expansion of 2.0 in n 1.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.788 * [taylor]: Taking taylor expansion of PI in n 1.788 * [taylor]: Taking taylor expansion of n in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.791 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.791 * [taylor]: Taking taylor expansion of 0.5 in k 1.791 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.791 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.791 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.791 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.791 * [taylor]: Taking taylor expansion of 2.0 in k 1.791 * [taylor]: Taking taylor expansion of PI in k 1.792 * [taylor]: Taking taylor expansion of (log n) in k 1.792 * [taylor]: Taking taylor expansion of n in k 1.792 * [taylor]: Taking taylor expansion of k in k 1.808 * [taylor]: Taking taylor expansion of 0 in k 1.815 * [taylor]: Taking taylor expansion of 0 in k 1.822 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.824 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.824 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.824 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.824 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.824 * [taylor]: Taking taylor expansion of -0.5 in k 1.824 * [taylor]: Taking taylor expansion of k in k 1.824 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.824 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.824 * [taylor]: Taking taylor expansion of -2.0 in k 1.824 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.824 * [taylor]: Taking taylor expansion of PI in k 1.824 * [taylor]: Taking taylor expansion of n in k 1.824 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.824 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.825 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.825 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.825 * [taylor]: Taking taylor expansion of -0.5 in n 1.825 * [taylor]: Taking taylor expansion of k in n 1.825 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.825 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.825 * [taylor]: Taking taylor expansion of -2.0 in n 1.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.825 * [taylor]: Taking taylor expansion of PI in n 1.825 * [taylor]: Taking taylor expansion of n in n 1.829 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.829 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.829 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.829 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.829 * [taylor]: Taking taylor expansion of -0.5 in n 1.829 * [taylor]: Taking taylor expansion of k in n 1.829 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.829 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.829 * [taylor]: Taking taylor expansion of -2.0 in n 1.829 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.829 * [taylor]: Taking taylor expansion of PI in n 1.829 * [taylor]: Taking taylor expansion of n in n 1.832 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.832 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.832 * [taylor]: Taking taylor expansion of -0.5 in k 1.832 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.832 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.832 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.832 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.832 * [taylor]: Taking taylor expansion of -2.0 in k 1.832 * [taylor]: Taking taylor expansion of PI in k 1.833 * [taylor]: Taking taylor expansion of (log n) in k 1.833 * [taylor]: Taking taylor expansion of n in k 1.834 * [taylor]: Taking taylor expansion of k in k 1.842 * [taylor]: Taking taylor expansion of 0 in k 1.848 * [taylor]: Taking taylor expansion of 0 in k 1.856 * [taylor]: Taking taylor expansion of 0 in k 1.857 * * * [progress]: simplifying candidates 1.858 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (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))))) (* 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 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.864 * * [simplify]: iteration 0 : 463 enodes (cost 557 ) 1.873 * * [simplify]: iteration 1 : 1809 enodes (cost 510 ) 1.906 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 1.909 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.909 * * * [progress]: adding candidates to table 2.222 * * [progress]: iteration 3 / 4 2.222 * * * [progress]: picking best candidate 2.251 * * * * [pick]: Picked # 2.251 * * * [progress]: localizing error 2.272 * * * [progress]: generating rewritten candidates 2.272 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.278 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 2.284 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) 2.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.300 * * * [progress]: generating series expansions 2.300 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.301 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.301 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.301 * [taylor]: Taking taylor expansion of 0.5 in n 2.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.301 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.301 * [taylor]: Taking taylor expansion of 2.0 in n 2.301 * [taylor]: Taking taylor expansion of (* n PI) in n 2.301 * [taylor]: Taking taylor expansion of n in n 2.301 * [taylor]: Taking taylor expansion of PI in n 2.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.307 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.307 * [taylor]: Taking taylor expansion of 0.5 in n 2.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.307 * [taylor]: Taking taylor expansion of 2.0 in n 2.307 * [taylor]: Taking taylor expansion of (* n PI) in n 2.307 * [taylor]: Taking taylor expansion of n in n 2.307 * [taylor]: Taking taylor expansion of PI in n 2.394 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.394 * [taylor]: Taking taylor expansion of 0.5 in n 2.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.394 * [taylor]: Taking taylor expansion of 2.0 in n 2.394 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.394 * [taylor]: Taking taylor expansion of PI in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.398 * [taylor]: Taking taylor expansion of 2.0 in n 2.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.480 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.480 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.481 * [taylor]: Taking taylor expansion of 0.5 in n 2.481 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of -2.0 in n 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.484 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.484 * [taylor]: Taking taylor expansion of 0.5 in n 2.484 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.484 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.484 * [taylor]: Taking taylor expansion of -2.0 in n 2.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.484 * [taylor]: Taking taylor expansion of PI in n 2.484 * [taylor]: Taking taylor expansion of n in n 2.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 2.567 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.567 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.567 * [taylor]: Taking taylor expansion of 2.0 in n 2.567 * [taylor]: Taking taylor expansion of (* n PI) in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.567 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.567 * [taylor]: Taking taylor expansion of 2.0 in n 2.567 * [taylor]: Taking taylor expansion of (* n PI) in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.580 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.580 * [taylor]: Taking taylor expansion of 2.0 in n 2.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.580 * [taylor]: Taking taylor expansion of PI in n 2.580 * [taylor]: Taking taylor expansion of n in n 2.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.580 * [taylor]: Taking taylor expansion of 2.0 in n 2.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.580 * [taylor]: Taking taylor expansion of PI in n 2.580 * [taylor]: Taking taylor expansion of n in n 2.589 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.589 * [taylor]: Taking taylor expansion of -2.0 in n 2.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.590 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.590 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.590 * [taylor]: Taking taylor expansion of -2.0 in n 2.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.590 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.599 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1) 2.599 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.599 * [taylor]: Taking taylor expansion of 2.0 in n 2.599 * [taylor]: Taking taylor expansion of (* n PI) in n 2.599 * [taylor]: Taking taylor expansion of n in n 2.599 * [taylor]: Taking taylor expansion of PI in n 2.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.599 * [taylor]: Taking taylor expansion of 2.0 in n 2.599 * [taylor]: Taking taylor expansion of (* n PI) in n 2.599 * [taylor]: Taking taylor expansion of n in n 2.599 * [taylor]: Taking taylor expansion of PI in n 2.618 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.618 * [taylor]: Taking taylor expansion of PI in n 2.618 * [taylor]: Taking taylor expansion of n in n 2.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.619 * [taylor]: Taking taylor expansion of 2.0 in n 2.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.619 * [taylor]: Taking taylor expansion of PI in n 2.619 * [taylor]: Taking taylor expansion of n in n 2.628 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.628 * [taylor]: Taking taylor expansion of -2.0 in n 2.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.628 * [taylor]: Taking taylor expansion of PI in n 2.628 * [taylor]: Taking taylor expansion of n in n 2.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.628 * [taylor]: Taking taylor expansion of -2.0 in n 2.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.628 * [taylor]: Taking taylor expansion of PI in n 2.628 * [taylor]: Taking taylor expansion of n in n 2.637 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.638 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.638 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.638 * [taylor]: Taking taylor expansion of 2.0 in n 2.638 * [taylor]: Taking taylor expansion of (* n PI) in n 2.638 * [taylor]: Taking taylor expansion of n in n 2.638 * [taylor]: Taking taylor expansion of PI in n 2.638 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.638 * [taylor]: Taking taylor expansion of 2.0 in n 2.638 * [taylor]: Taking taylor expansion of (* n PI) in n 2.638 * [taylor]: Taking taylor expansion of n in n 2.638 * [taylor]: Taking taylor expansion of PI in n 2.650 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.650 * [taylor]: Taking taylor expansion of 2.0 in n 2.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.650 * [taylor]: Taking taylor expansion of PI in n 2.650 * [taylor]: Taking taylor expansion of n in n 2.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.651 * [taylor]: Taking taylor expansion of 2.0 in n 2.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.651 * [taylor]: Taking taylor expansion of PI in n 2.651 * [taylor]: Taking taylor expansion of n in n 2.660 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.660 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.660 * [taylor]: Taking taylor expansion of -2.0 in n 2.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.660 * [taylor]: Taking taylor expansion of PI in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.660 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.660 * [taylor]: Taking taylor expansion of -2.0 in n 2.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.660 * [taylor]: Taking taylor expansion of PI in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.669 * * * [progress]: simplifying candidates 2.670 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.675 * * [simplify]: iteration 0 : 274 enodes (cost 423 ) 2.681 * * [simplify]: iteration 1 : 1053 enodes (cost 367 ) 2.703 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 2.706 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.706 * * * [progress]: adding candidates to table 3.009 * * [progress]: iteration 4 / 4 3.009 * * * [progress]: picking best candidate 3.040 * * * * [pick]: Picked # 3.040 * * * [progress]: localizing error 3.058 * * * [progress]: generating rewritten candidates 3.059 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.070 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.081 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.091 * * * [progress]: generating series expansions 3.091 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.092 * [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 3.092 * [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 3.092 * [taylor]: Taking taylor expansion of 1.0 in n 3.092 * [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 3.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.092 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.092 * [taylor]: Taking taylor expansion of k in n 3.092 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.092 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.092 * [taylor]: Taking taylor expansion of 0.5 in n 3.092 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.092 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.092 * [taylor]: Taking taylor expansion of 1.0 in n 3.092 * [taylor]: Taking taylor expansion of (log PI) in n 3.092 * [taylor]: Taking taylor expansion of PI in n 3.094 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.094 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.094 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.094 * [taylor]: Taking taylor expansion of 1.0 in n 3.094 * [taylor]: Taking taylor expansion of (log n) in n 3.094 * [taylor]: Taking taylor expansion of n in n 3.095 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.095 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.095 * [taylor]: Taking taylor expansion of 1.0 in n 3.095 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.095 * [taylor]: Taking taylor expansion of 2.0 in n 3.101 * [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 3.101 * [taylor]: Taking taylor expansion of 1.0 in k 3.101 * [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 3.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.102 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.102 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.102 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.102 * [taylor]: Taking taylor expansion of 0.5 in k 3.102 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.102 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.102 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.102 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.102 * [taylor]: Taking taylor expansion of 1.0 in k 3.102 * [taylor]: Taking taylor expansion of (log PI) in k 3.102 * [taylor]: Taking taylor expansion of PI in k 3.104 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.104 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.104 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.104 * [taylor]: Taking taylor expansion of 1.0 in k 3.104 * [taylor]: Taking taylor expansion of (log n) in k 3.104 * [taylor]: Taking taylor expansion of n in k 3.104 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.104 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.105 * [taylor]: Taking taylor expansion of 1.0 in k 3.105 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.105 * [taylor]: Taking taylor expansion of 2.0 in k 3.115 * [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 3.115 * [taylor]: Taking taylor expansion of 1.0 in k 3.115 * [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 3.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.115 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.115 * [taylor]: Taking taylor expansion of k in k 3.116 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.116 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.116 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.116 * [taylor]: Taking taylor expansion of 0.5 in k 3.116 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.116 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.116 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.116 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.116 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.116 * [taylor]: Taking taylor expansion of 1.0 in k 3.116 * [taylor]: Taking taylor expansion of (log PI) in k 3.117 * [taylor]: Taking taylor expansion of PI in k 3.118 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.118 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.118 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.119 * [taylor]: Taking taylor expansion of 1.0 in k 3.119 * [taylor]: Taking taylor expansion of (log n) in k 3.119 * [taylor]: Taking taylor expansion of n in k 3.119 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.119 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.119 * [taylor]: Taking taylor expansion of 1.0 in k 3.119 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.119 * [taylor]: Taking taylor expansion of 2.0 in k 3.125 * [taylor]: Taking taylor expansion of 0 in n 3.139 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.139 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.139 * [taylor]: Taking taylor expansion of +nan.0 in n 3.139 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.139 * [taylor]: Taking taylor expansion of 0.5 in n 3.139 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.139 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.139 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.139 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.139 * [taylor]: Taking taylor expansion of 1.0 in n 3.139 * [taylor]: Taking taylor expansion of (log PI) in n 3.139 * [taylor]: Taking taylor expansion of PI in n 3.141 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.141 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.141 * [taylor]: Taking taylor expansion of 1.0 in n 3.141 * [taylor]: Taking taylor expansion of (log n) in n 3.141 * [taylor]: Taking taylor expansion of n in n 3.142 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.142 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.142 * [taylor]: Taking taylor expansion of 1.0 in n 3.142 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.142 * [taylor]: Taking taylor expansion of 2.0 in n 3.173 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.173 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.173 * [taylor]: Taking taylor expansion of +nan.0 in n 3.173 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.173 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.173 * [taylor]: Taking taylor expansion of 0.5 in n 3.173 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.173 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.173 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.173 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.173 * [taylor]: Taking taylor expansion of 1.0 in n 3.173 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.173 * [taylor]: Taking taylor expansion of 2.0 in n 3.175 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.175 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.175 * [taylor]: Taking taylor expansion of 1.0 in n 3.175 * [taylor]: Taking taylor expansion of (log n) in n 3.175 * [taylor]: Taking taylor expansion of n in n 3.176 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.176 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.176 * [taylor]: Taking taylor expansion of 1.0 in n 3.176 * [taylor]: Taking taylor expansion of (log PI) in n 3.176 * [taylor]: Taking taylor expansion of PI in n 3.234 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.234 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.234 * [taylor]: Taking taylor expansion of +nan.0 in n 3.234 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.234 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.234 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.234 * [taylor]: Taking taylor expansion of 0.5 in n 3.234 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.234 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.234 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.234 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.234 * [taylor]: Taking taylor expansion of 1.0 in n 3.234 * [taylor]: Taking taylor expansion of (log PI) in n 3.234 * [taylor]: Taking taylor expansion of PI in n 3.236 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.236 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.236 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.236 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [taylor]: Taking taylor expansion of (log n) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.237 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.237 * [taylor]: Taking taylor expansion of 2.0 in n 3.249 * [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 3.249 * [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 3.249 * [taylor]: Taking taylor expansion of 1.0 in n 3.249 * [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 3.250 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.250 * [taylor]: Taking taylor expansion of k in n 3.250 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.250 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.250 * [taylor]: Taking taylor expansion of 0.5 in n 3.250 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.250 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.250 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.250 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.250 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.250 * [taylor]: Taking taylor expansion of 1.0 in n 3.250 * [taylor]: Taking taylor expansion of (log PI) in n 3.250 * [taylor]: Taking taylor expansion of PI in n 3.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.252 * [taylor]: Taking taylor expansion of 1.0 in n 3.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.252 * [taylor]: Taking taylor expansion of 2.0 in n 3.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.254 * [taylor]: Taking taylor expansion of 1.0 in n 3.254 * [taylor]: Taking taylor expansion of (log n) in n 3.254 * [taylor]: Taking taylor expansion of n in n 3.261 * [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 3.261 * [taylor]: Taking taylor expansion of 1.0 in k 3.261 * [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 3.261 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.261 * [taylor]: Taking taylor expansion of k in k 3.262 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.262 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.262 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.262 * [taylor]: Taking taylor expansion of 0.5 in k 3.262 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.262 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.262 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.262 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.262 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.262 * [taylor]: Taking taylor expansion of 1.0 in k 3.262 * [taylor]: Taking taylor expansion of (log PI) in k 3.262 * [taylor]: Taking taylor expansion of PI in k 3.264 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.264 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.264 * [taylor]: Taking taylor expansion of 1.0 in k 3.264 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.264 * [taylor]: Taking taylor expansion of 2.0 in k 3.266 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.266 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.266 * [taylor]: Taking taylor expansion of 1.0 in k 3.266 * [taylor]: Taking taylor expansion of (log n) in k 3.266 * [taylor]: Taking taylor expansion of n in k 3.273 * [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 3.273 * [taylor]: Taking taylor expansion of 1.0 in k 3.273 * [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 3.273 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.273 * [taylor]: Taking taylor expansion of k in k 3.274 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.274 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.274 * [taylor]: Taking taylor expansion of 0.5 in k 3.274 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.274 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.274 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.274 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.274 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.274 * [taylor]: Taking taylor expansion of 1.0 in k 3.274 * [taylor]: Taking taylor expansion of (log PI) in k 3.274 * [taylor]: Taking taylor expansion of PI in k 3.276 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.276 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.276 * [taylor]: Taking taylor expansion of 1.0 in k 3.276 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.276 * [taylor]: Taking taylor expansion of 2.0 in k 3.278 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.278 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.278 * [taylor]: Taking taylor expansion of 1.0 in k 3.278 * [taylor]: Taking taylor expansion of (log n) in k 3.278 * [taylor]: Taking taylor expansion of n in k 3.286 * [taylor]: Taking taylor expansion of 0 in n 3.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.309 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.309 * [taylor]: Taking taylor expansion of +nan.0 in n 3.309 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.309 * [taylor]: Taking taylor expansion of 0.5 in n 3.309 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.309 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.309 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.309 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.309 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.309 * [taylor]: Taking taylor expansion of 1.0 in n 3.309 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.309 * [taylor]: Taking taylor expansion of 2.0 in n 3.311 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.311 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.311 * [taylor]: Taking taylor expansion of 1.0 in n 3.311 * [taylor]: Taking taylor expansion of (log PI) in n 3.311 * [taylor]: Taking taylor expansion of PI in n 3.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.313 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.313 * [taylor]: Taking taylor expansion of 1.0 in n 3.313 * [taylor]: Taking taylor expansion of (log n) in n 3.313 * [taylor]: Taking taylor expansion of n in n 3.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.349 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.349 * [taylor]: Taking taylor expansion of +nan.0 in n 3.349 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.349 * [taylor]: Taking taylor expansion of 0.5 in n 3.349 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.349 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.349 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.349 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.349 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.349 * [taylor]: Taking taylor expansion of 1.0 in n 3.349 * [taylor]: Taking taylor expansion of (log PI) in n 3.349 * [taylor]: Taking taylor expansion of PI in n 3.351 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.351 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.351 * [taylor]: Taking taylor expansion of 1.0 in n 3.351 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.351 * [taylor]: Taking taylor expansion of 2.0 in n 3.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.353 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.353 * [taylor]: Taking taylor expansion of 1.0 in n 3.353 * [taylor]: Taking taylor expansion of (log n) in n 3.353 * [taylor]: Taking taylor expansion of n in n 3.418 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.418 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.419 * [taylor]: Taking taylor expansion of +nan.0 in n 3.419 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.419 * [taylor]: Taking taylor expansion of 0.5 in n 3.419 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.419 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.419 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.419 * [taylor]: Taking taylor expansion of 1.0 in n 3.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.419 * [taylor]: Taking taylor expansion of 2.0 in n 3.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (log PI) in n 3.421 * [taylor]: Taking taylor expansion of PI in n 3.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log n) in n 3.423 * [taylor]: Taking taylor expansion of n in n 3.439 * [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 3.439 * [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 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [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 3.439 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.439 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.439 * [taylor]: Taking taylor expansion of -1 in n 3.439 * [taylor]: Taking taylor expansion of k in n 3.439 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.439 * [taylor]: Taking taylor expansion of 0.5 in n 3.439 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.439 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.439 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.439 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.439 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.439 * [taylor]: Taking taylor expansion of -2.0 in n 3.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (log PI) in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.443 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.443 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.443 * [taylor]: Taking taylor expansion of 1.0 in n 3.443 * [taylor]: Taking taylor expansion of (log n) in n 3.443 * [taylor]: Taking taylor expansion of n in n 3.450 * [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 3.450 * [taylor]: Taking taylor expansion of 1.0 in k 3.450 * [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 3.450 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.450 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.450 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.450 * [taylor]: Taking taylor expansion of -1 in k 3.451 * [taylor]: Taking taylor expansion of k in k 3.452 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.452 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.452 * [taylor]: Taking taylor expansion of 0.5 in k 3.452 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.452 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.453 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.453 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.453 * [taylor]: Taking taylor expansion of 1.0 in k 3.453 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.453 * [taylor]: Taking taylor expansion of -2.0 in k 3.454 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.454 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.455 * [taylor]: Taking taylor expansion of 1.0 in k 3.455 * [taylor]: Taking taylor expansion of (log PI) in k 3.455 * [taylor]: Taking taylor expansion of PI in k 3.456 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.457 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.457 * [taylor]: Taking taylor expansion of 1.0 in k 3.457 * [taylor]: Taking taylor expansion of (log n) in k 3.457 * [taylor]: Taking taylor expansion of n in k 3.463 * [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 3.463 * [taylor]: Taking taylor expansion of 1.0 in k 3.463 * [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 3.463 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.463 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.463 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.463 * [taylor]: Taking taylor expansion of -1 in k 3.463 * [taylor]: Taking taylor expansion of k in k 3.465 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.465 * [taylor]: Taking taylor expansion of 0.5 in k 3.465 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.465 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.465 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.465 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.465 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.465 * [taylor]: Taking taylor expansion of 1.0 in k 3.465 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.465 * [taylor]: Taking taylor expansion of -2.0 in k 3.467 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.467 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.467 * [taylor]: Taking taylor expansion of 1.0 in k 3.467 * [taylor]: Taking taylor expansion of (log PI) in k 3.467 * [taylor]: Taking taylor expansion of PI in k 3.469 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.469 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.469 * [taylor]: Taking taylor expansion of 1.0 in k 3.469 * [taylor]: Taking taylor expansion of (log n) in k 3.469 * [taylor]: Taking taylor expansion of n in k 3.478 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.478 * [taylor]: Taking taylor expansion of +nan.0 in n 3.478 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.478 * [taylor]: Taking taylor expansion of 0.5 in n 3.478 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.478 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.478 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.478 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.479 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.479 * [taylor]: Taking taylor expansion of 1.0 in n 3.479 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.479 * [taylor]: Taking taylor expansion of -2.0 in n 3.487 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.487 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.487 * [taylor]: Taking taylor expansion of 1.0 in n 3.487 * [taylor]: Taking taylor expansion of (log PI) in n 3.487 * [taylor]: Taking taylor expansion of PI in n 3.489 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.489 * [taylor]: Taking taylor expansion of 1.0 in n 3.489 * [taylor]: Taking taylor expansion of (log n) in n 3.489 * [taylor]: Taking taylor expansion of n in n 3.519 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.519 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.519 * [taylor]: Taking taylor expansion of +nan.0 in n 3.519 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.519 * [taylor]: Taking taylor expansion of 0.5 in n 3.519 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.520 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.520 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.520 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.520 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.520 * [taylor]: Taking taylor expansion of 1.0 in n 3.520 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.520 * [taylor]: Taking taylor expansion of -2.0 in n 3.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.522 * [taylor]: Taking taylor expansion of 1.0 in n 3.522 * [taylor]: Taking taylor expansion of (log PI) in n 3.522 * [taylor]: Taking taylor expansion of PI in n 3.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.523 * [taylor]: Taking taylor expansion of 1.0 in n 3.523 * [taylor]: Taking taylor expansion of (log n) in n 3.524 * [taylor]: Taking taylor expansion of n in n 3.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.585 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.585 * [taylor]: Taking taylor expansion of +nan.0 in n 3.585 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.585 * [taylor]: Taking taylor expansion of 0.5 in n 3.585 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.585 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.585 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.585 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.585 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.585 * [taylor]: Taking taylor expansion of 1.0 in n 3.586 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.586 * [taylor]: Taking taylor expansion of -2.0 in n 3.587 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.587 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.587 * [taylor]: Taking taylor expansion of 1.0 in n 3.587 * [taylor]: Taking taylor expansion of (log PI) in n 3.587 * [taylor]: Taking taylor expansion of PI in n 3.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.589 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.589 * [taylor]: Taking taylor expansion of 1.0 in n 3.589 * [taylor]: Taking taylor expansion of (log n) in n 3.589 * [taylor]: Taking taylor expansion of n in n 3.605 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.605 * [taylor]: Taking taylor expansion of 0.5 in n 3.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.605 * [taylor]: Taking taylor expansion of 2.0 in n 3.605 * [taylor]: Taking taylor expansion of (* n PI) in n 3.605 * [taylor]: Taking taylor expansion of n in n 3.605 * [taylor]: Taking taylor expansion of PI in n 3.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.611 * [taylor]: Taking taylor expansion of 0.5 in n 3.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.611 * [taylor]: Taking taylor expansion of 2.0 in n 3.611 * [taylor]: Taking taylor expansion of (* n PI) in n 3.611 * [taylor]: Taking taylor expansion of n in n 3.611 * [taylor]: Taking taylor expansion of PI in n 3.828 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.828 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.828 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.828 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.828 * [taylor]: Taking taylor expansion of 0.5 in n 3.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.828 * [taylor]: Taking taylor expansion of 2.0 in n 3.828 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.828 * [taylor]: Taking taylor expansion of PI in n 3.828 * [taylor]: Taking taylor expansion of n in n 3.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.832 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.832 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.832 * [taylor]: Taking taylor expansion of 0.5 in n 3.832 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.832 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.832 * [taylor]: Taking taylor expansion of 2.0 in n 3.832 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.832 * [taylor]: Taking taylor expansion of PI in n 3.832 * [taylor]: Taking taylor expansion of n in n 3.912 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.913 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.913 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.913 * [taylor]: Taking taylor expansion of 0.5 in n 3.913 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.913 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.913 * [taylor]: Taking taylor expansion of -2.0 in n 3.913 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.913 * [taylor]: Taking taylor expansion of PI in n 3.913 * [taylor]: Taking taylor expansion of n in n 3.916 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.916 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.916 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.916 * [taylor]: Taking taylor expansion of 0.5 in n 3.916 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.916 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.916 * [taylor]: Taking taylor expansion of -2.0 in n 3.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.916 * [taylor]: Taking taylor expansion of PI in n 3.916 * [taylor]: Taking taylor expansion of n in n 3.995 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.995 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.995 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.995 * [taylor]: Taking taylor expansion of 2.0 in n 3.995 * [taylor]: Taking taylor expansion of (* n PI) in n 3.995 * [taylor]: Taking taylor expansion of n in n 3.995 * [taylor]: Taking taylor expansion of PI in n 3.995 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.995 * [taylor]: Taking taylor expansion of 2.0 in n 3.995 * [taylor]: Taking taylor expansion of (* n PI) in n 3.996 * [taylor]: Taking taylor expansion of n in n 3.996 * [taylor]: Taking taylor expansion of PI in n 4.008 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.008 * [taylor]: Taking taylor expansion of 2.0 in n 4.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.008 * [taylor]: Taking taylor expansion of PI in n 4.008 * [taylor]: Taking taylor expansion of n in n 4.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.009 * [taylor]: Taking taylor expansion of 2.0 in n 4.009 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.009 * [taylor]: Taking taylor expansion of PI in n 4.009 * [taylor]: Taking taylor expansion of n in n 4.018 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.018 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.018 * [taylor]: Taking taylor expansion of -2.0 in n 4.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.018 * [taylor]: Taking taylor expansion of PI in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.018 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.018 * [taylor]: Taking taylor expansion of -2.0 in n 4.018 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.018 * [taylor]: Taking taylor expansion of PI in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 4.031 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.031 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.031 * [taylor]: Taking taylor expansion of 2.0 in n 4.031 * [taylor]: Taking taylor expansion of (* n PI) in n 4.031 * [taylor]: Taking taylor expansion of n in n 4.031 * [taylor]: Taking taylor expansion of PI in n 4.031 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.031 * [taylor]: Taking taylor expansion of 2.0 in n 4.031 * [taylor]: Taking taylor expansion of (* n PI) in n 4.031 * [taylor]: Taking taylor expansion of n in n 4.031 * [taylor]: Taking taylor expansion of PI in n 4.043 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.043 * [taylor]: Taking taylor expansion of 2.0 in n 4.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.043 * [taylor]: Taking taylor expansion of PI in n 4.043 * [taylor]: Taking taylor expansion of n in n 4.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.043 * [taylor]: Taking taylor expansion of 2.0 in n 4.043 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.043 * [taylor]: Taking taylor expansion of PI in n 4.043 * [taylor]: Taking taylor expansion of n in n 4.052 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.052 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.053 * [taylor]: Taking taylor expansion of -2.0 in n 4.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.053 * [taylor]: Taking taylor expansion of PI in n 4.053 * [taylor]: Taking taylor expansion of n in n 4.053 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.053 * [taylor]: Taking taylor expansion of -2.0 in n 4.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.053 * [taylor]: Taking taylor expansion of PI in n 4.053 * [taylor]: Taking taylor expansion of n in n 4.062 * * * [progress]: simplifying candidates 4.063 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (- (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))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.071 * * [simplify]: iteration 0 : 631 enodes (cost 995 ) 4.081 * * [simplify]: iteration 1 : 2542 enodes (cost 898 ) 4.126 * * [simplify]: iteration 2 : 5001 enodes (cost 893 ) 4.130 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 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)))) (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))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 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)) (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) (fma (- (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))) (fma (- +nan.0) (/ (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow k 3)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) k) (* +nan.0 (- (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.131 * * * [progress]: adding candidates to table 4.488 * [progress]: [Phase 3 of 3] Extracting. 4.488 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 4.492 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.492 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 4.537 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 4.583 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 4.628 * * * [regime]: Found split indices: #