11.625 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.122 * * * [progress]: [2/2] Setting up program. 0.125 * [progress]: [Phase 2 of 3] Improving. 0.125 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.127 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.129 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.130 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.133 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.139 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.161 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.161 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.162 * * [progress]: iteration 1 / 4 0.162 * * * [progress]: picking best candidate 0.164 * * * * [pick]: Picked # 0.164 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.186 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.189 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.195 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.217 * * * [progress]: generating series expansions 0.217 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.218 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.218 * [taylor]: Taking taylor expansion of 0.5 in k 0.218 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.218 * [taylor]: Taking taylor expansion of 1.0 in k 0.218 * [taylor]: Taking taylor expansion of k in k 0.218 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.218 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.218 * [taylor]: Taking taylor expansion of 2.0 in k 0.218 * [taylor]: Taking taylor expansion of (* n PI) in k 0.218 * [taylor]: Taking taylor expansion of n in k 0.218 * [taylor]: Taking taylor expansion of PI in k 0.219 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.219 * [taylor]: Taking taylor expansion of 0.5 in n 0.219 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.219 * [taylor]: Taking taylor expansion of 1.0 in n 0.219 * [taylor]: Taking taylor expansion of k in n 0.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.219 * [taylor]: Taking taylor expansion of 2.0 in n 0.219 * [taylor]: Taking taylor expansion of (* n PI) in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [taylor]: Taking taylor expansion of PI in n 0.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.228 * [taylor]: Taking taylor expansion of 0.5 in n 0.228 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.228 * [taylor]: Taking taylor expansion of 1.0 in n 0.228 * [taylor]: Taking taylor expansion of k in n 0.228 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.228 * [taylor]: Taking taylor expansion of 2.0 in n 0.228 * [taylor]: Taking taylor expansion of (* n PI) in n 0.228 * [taylor]: Taking taylor expansion of n in n 0.228 * [taylor]: Taking taylor expansion of PI in n 0.234 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.234 * [taylor]: Taking taylor expansion of 0.5 in k 0.234 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.234 * [taylor]: Taking taylor expansion of 1.0 in k 0.234 * [taylor]: Taking taylor expansion of k in k 0.234 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.234 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.234 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.234 * [taylor]: Taking taylor expansion of 2.0 in k 0.234 * [taylor]: Taking taylor expansion of PI in k 0.235 * [taylor]: Taking taylor expansion of (log n) in k 0.235 * [taylor]: Taking taylor expansion of n in k 0.244 * [taylor]: Taking taylor expansion of 0 in k 0.260 * [taylor]: Taking taylor expansion of 0 in k 0.279 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.279 * [taylor]: Taking taylor expansion of 0.5 in k 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.279 * [taylor]: Taking taylor expansion of 1.0 in k 0.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.279 * [taylor]: Taking taylor expansion of k in k 0.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.279 * [taylor]: Taking taylor expansion of 2.0 in k 0.279 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.279 * [taylor]: Taking taylor expansion of PI in k 0.279 * [taylor]: Taking taylor expansion of n in k 0.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.280 * [taylor]: Taking taylor expansion of 0.5 in n 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.280 * [taylor]: Taking taylor expansion of 1.0 in n 0.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.280 * [taylor]: Taking taylor expansion of k in n 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.280 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.284 * [taylor]: Taking taylor expansion of 0.5 in n 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.284 * [taylor]: Taking taylor expansion of 1.0 in n 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.284 * [taylor]: Taking taylor expansion of k in n 0.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.284 * [taylor]: Taking taylor expansion of 2.0 in n 0.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.284 * [taylor]: Taking taylor expansion of PI in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.288 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.288 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.288 * [taylor]: Taking taylor expansion of 2.0 in k 0.288 * [taylor]: Taking taylor expansion of PI in k 0.289 * [taylor]: Taking taylor expansion of (log n) in k 0.289 * [taylor]: Taking taylor expansion of n in k 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.299 * [taylor]: Taking taylor expansion of 0 in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.318 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.320 * [taylor]: Taking taylor expansion of -2.0 in k 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.320 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of n in k 0.321 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.321 * [taylor]: Taking taylor expansion of 0.5 in n 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.321 * [taylor]: Taking taylor expansion of k in n 0.321 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.321 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.321 * [taylor]: Taking taylor expansion of -2.0 in n 0.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.321 * [taylor]: Taking taylor expansion of PI in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.325 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.325 * [taylor]: Taking taylor expansion of -2.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.329 * [taylor]: Taking taylor expansion of 0.5 in k 0.329 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.329 * [taylor]: Taking taylor expansion of k in k 0.329 * [taylor]: Taking taylor expansion of 1.0 in k 0.329 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.329 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.329 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.329 * [taylor]: Taking taylor expansion of -2.0 in k 0.329 * [taylor]: Taking taylor expansion of PI in k 0.330 * [taylor]: Taking taylor expansion of (log n) in k 0.330 * [taylor]: Taking taylor expansion of n in k 0.339 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.356 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.356 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.356 * [taylor]: Taking taylor expansion of 1.0 in k 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.357 * [taylor]: Taking taylor expansion of 1.0 in k 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.357 * [taylor]: Taking taylor expansion of k in k 0.368 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.368 * [taylor]: Taking taylor expansion of k in k 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.369 * [taylor]: Taking taylor expansion of 1.0 in k 0.369 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.370 * [taylor]: Taking taylor expansion of k in k 0.380 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.380 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.380 * [taylor]: Taking taylor expansion of -1 in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.382 * [taylor]: Taking taylor expansion of -1 in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.396 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.396 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.396 * [taylor]: Taking taylor expansion of (* n PI) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.397 * [taylor]: Taking taylor expansion of 2.0 in n 0.397 * [taylor]: Taking taylor expansion of (* n PI) in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of PI in n 0.409 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of n in n 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.409 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.418 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.418 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.418 * [taylor]: Taking taylor expansion of -2.0 in n 0.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.418 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.419 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.419 * [taylor]: Taking taylor expansion of -2.0 in n 0.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.419 * [taylor]: Taking taylor expansion of PI in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.427 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.428 * [taylor]: Taking taylor expansion of k in n 0.428 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.428 * [taylor]: Taking taylor expansion of 0.5 in n 0.428 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of k in n 0.428 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.428 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.428 * [taylor]: Taking taylor expansion of 2.0 in n 0.428 * [taylor]: Taking taylor expansion of (* n PI) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.434 * [taylor]: Taking taylor expansion of 1.0 in k 0.434 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.434 * [taylor]: Taking taylor expansion of k in k 0.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.435 * [taylor]: Taking taylor expansion of 0.5 in k 0.435 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.435 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.435 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.435 * [taylor]: Taking taylor expansion of 2.0 in k 0.435 * [taylor]: Taking taylor expansion of (* n PI) in k 0.435 * [taylor]: Taking taylor expansion of n in k 0.435 * [taylor]: Taking taylor expansion of PI in k 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.436 * [taylor]: Taking taylor expansion of 1.0 in k 0.436 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.436 * [taylor]: Taking taylor expansion of k in k 0.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.437 * [taylor]: Taking taylor expansion of 0.5 in k 0.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.438 * [taylor]: Taking taylor expansion of 2.0 in k 0.438 * [taylor]: Taking taylor expansion of (* n PI) in k 0.438 * [taylor]: Taking taylor expansion of n in k 0.438 * [taylor]: Taking taylor expansion of PI in k 0.439 * [taylor]: Taking taylor expansion of 0 in n 0.444 * [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 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of +nan.0 in n 0.444 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.444 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log PI) in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.446 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log n) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.447 * [taylor]: Taking taylor expansion of 2.0 in n 0.466 * [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 0.466 * [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 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of +nan.0 in n 0.466 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.466 * [taylor]: Taking taylor expansion of 0.5 in n 0.466 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.466 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.466 * [taylor]: Taking taylor expansion of 1.0 in n 0.466 * [taylor]: Taking taylor expansion of (log PI) in n 0.466 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.468 * [taylor]: Taking taylor expansion of (log n) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.469 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.469 * [taylor]: Taking taylor expansion of 2.0 in n 0.474 * [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 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of +nan.0 in n 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.474 * [taylor]: Taking taylor expansion of 0.5 in n 0.474 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.474 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.475 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.475 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log PI) in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log n) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.485 * [taylor]: Taking taylor expansion of 2.0 in n 0.485 * [taylor]: Taking taylor expansion of (* n PI) in n 0.485 * [taylor]: Taking taylor expansion of n in n 0.485 * [taylor]: Taking taylor expansion of PI in n 0.534 * [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 0.535 * [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 0.535 * [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 0.535 * [taylor]: Taking taylor expansion of +nan.0 in n 0.535 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.535 * [taylor]: Taking taylor expansion of 0.5 in n 0.535 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.535 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.535 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.535 * [taylor]: Taking taylor expansion of 1.0 in n 0.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.536 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.537 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log n) in n 0.537 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log PI) in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.542 * [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 0.543 * [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 0.543 * [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 0.543 * [taylor]: Taking taylor expansion of +nan.0 in n 0.543 * [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 0.543 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.543 * [taylor]: Taking taylor expansion of 0.5 in n 0.543 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.543 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.543 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.543 * [taylor]: Taking taylor expansion of 2.0 in n 0.545 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.545 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log PI) in n 0.545 * [taylor]: Taking taylor expansion of PI in n 0.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.547 * [taylor]: Taking taylor expansion of 1.0 in n 0.547 * [taylor]: Taking taylor expansion of (log n) in n 0.547 * [taylor]: Taking taylor expansion of n in n 0.551 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.551 * [taylor]: Taking taylor expansion of 2.0 in n 0.551 * [taylor]: Taking taylor expansion of (* n PI) in n 0.551 * [taylor]: Taking taylor expansion of n in n 0.551 * [taylor]: Taking taylor expansion of PI in n 0.554 * [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 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.554 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log PI) in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of (log n) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* n PI) in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.638 * [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 0.638 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.638 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.638 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.638 * [taylor]: Taking taylor expansion of k in n 0.638 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.638 * [taylor]: Taking taylor expansion of 0.5 in n 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.638 * [taylor]: Taking taylor expansion of k in n 0.638 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.638 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.638 * [taylor]: Taking taylor expansion of 2.0 in n 0.638 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.638 * [taylor]: Taking taylor expansion of PI in n 0.638 * [taylor]: Taking taylor expansion of n in n 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.642 * [taylor]: Taking taylor expansion of 1.0 in k 0.642 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.642 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of 0.5 in k 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.643 * [taylor]: Taking taylor expansion of 2.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.643 * [taylor]: Taking taylor expansion of PI in k 0.643 * [taylor]: Taking taylor expansion of n in k 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.644 * [taylor]: Taking taylor expansion of 1.0 in k 0.644 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.644 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.646 * [taylor]: Taking taylor expansion of 0.5 in k 0.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.646 * [taylor]: Taking taylor expansion of 1.0 in k 0.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.646 * [taylor]: Taking taylor expansion of k in k 0.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.646 * [taylor]: Taking taylor expansion of 2.0 in k 0.646 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.646 * [taylor]: Taking taylor expansion of PI in k 0.646 * [taylor]: Taking taylor expansion of n in k 0.647 * [taylor]: Taking taylor expansion of 0 in n 0.651 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.651 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.651 * [taylor]: Taking taylor expansion of +nan.0 in n 0.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.651 * [taylor]: Taking taylor expansion of 0.5 in n 0.651 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.653 * [taylor]: Taking taylor expansion of 1.0 in n 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.653 * [taylor]: Taking taylor expansion of k in n 0.661 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.661 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.661 * [taylor]: Taking taylor expansion of +nan.0 in n 0.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.662 * [taylor]: Taking taylor expansion of 0.5 in n 0.662 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.662 * [taylor]: Taking taylor expansion of 2.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.662 * [taylor]: Taking taylor expansion of PI in n 0.662 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.680 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.680 * [taylor]: Taking taylor expansion of +nan.0 in n 0.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 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 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.681 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.690 * [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 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.690 * [taylor]: Taking taylor expansion of 0.5 in n 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.690 * [taylor]: Taking taylor expansion of -2.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.694 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.694 * [taylor]: Taking taylor expansion of -1 in n 0.694 * [taylor]: Taking taylor expansion of k in n 0.695 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.695 * [taylor]: Taking taylor expansion of 1.0 in k 0.695 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.695 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.695 * [taylor]: Taking taylor expansion of 0.5 in k 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.695 * [taylor]: Taking taylor expansion of k in k 0.695 * [taylor]: Taking taylor expansion of 1.0 in k 0.695 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.695 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.695 * [taylor]: Taking taylor expansion of -2.0 in k 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.695 * [taylor]: Taking taylor expansion of PI in k 0.695 * [taylor]: Taking taylor expansion of n in k 0.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.696 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.696 * [taylor]: Taking taylor expansion of -1 in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.698 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.698 * [taylor]: Taking taylor expansion of 1.0 in k 0.698 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.698 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.698 * [taylor]: Taking taylor expansion of 0.5 in k 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.698 * [taylor]: Taking taylor expansion of k in k 0.698 * [taylor]: Taking taylor expansion of 1.0 in k 0.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.698 * [taylor]: Taking taylor expansion of -2.0 in k 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.698 * [taylor]: Taking taylor expansion of PI in k 0.698 * [taylor]: Taking taylor expansion of n in k 0.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.699 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.699 * [taylor]: Taking taylor expansion of -1 in k 0.699 * [taylor]: Taking taylor expansion of k in k 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.701 * [taylor]: Taking taylor expansion of +nan.0 in n 0.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.701 * [taylor]: Taking taylor expansion of 0.5 in n 0.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.701 * [taylor]: Taking taylor expansion of k in n 0.701 * [taylor]: Taking taylor expansion of 1.0 in n 0.701 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.701 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.701 * [taylor]: Taking taylor expansion of -2.0 in n 0.701 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.701 * [taylor]: Taking taylor expansion of PI in n 0.701 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.710 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.710 * [taylor]: Taking taylor expansion of +nan.0 in n 0.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.710 * [taylor]: Taking taylor expansion of 0.5 in n 0.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.710 * [taylor]: Taking taylor expansion of -2.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.727 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.727 * [taylor]: Taking taylor expansion of +nan.0 in n 0.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.727 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.727 * [taylor]: Taking taylor expansion of 0.5 in n 0.727 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.728 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.728 * [taylor]: Taking taylor expansion of -2.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.728 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.740 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.839 * * * [progress]: adding candidates to table 1.234 * * [progress]: iteration 2 / 4 1.235 * * * [progress]: picking best candidate 1.257 * * * * [pick]: Picked # 1.257 * * * [progress]: localizing error 1.276 * * * [progress]: generating rewritten candidates 1.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.301 * * * [progress]: generating series expansions 1.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.302 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.302 * [taylor]: Taking taylor expansion of 0.5 in k 1.302 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.302 * [taylor]: Taking taylor expansion of 1.0 in k 1.302 * [taylor]: Taking taylor expansion of k in k 1.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.302 * [taylor]: Taking taylor expansion of 2.0 in k 1.302 * [taylor]: Taking taylor expansion of (* n PI) in k 1.302 * [taylor]: Taking taylor expansion of n in k 1.302 * [taylor]: Taking taylor expansion of PI in k 1.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.303 * [taylor]: Taking taylor expansion of 0.5 in n 1.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.303 * [taylor]: Taking taylor expansion of 1.0 in n 1.303 * [taylor]: Taking taylor expansion of k in n 1.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.303 * [taylor]: Taking taylor expansion of 2.0 in n 1.303 * [taylor]: Taking taylor expansion of (* n PI) in n 1.303 * [taylor]: Taking taylor expansion of n in n 1.303 * [taylor]: Taking taylor expansion of PI in n 1.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.309 * [taylor]: Taking taylor expansion of 0.5 in n 1.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.309 * [taylor]: Taking taylor expansion of 1.0 in n 1.309 * [taylor]: Taking taylor expansion of k in n 1.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.309 * [taylor]: Taking taylor expansion of 2.0 in n 1.309 * [taylor]: Taking taylor expansion of (* n PI) in n 1.309 * [taylor]: Taking taylor expansion of n in n 1.309 * [taylor]: Taking taylor expansion of PI in n 1.315 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.315 * [taylor]: Taking taylor expansion of 0.5 in k 1.315 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.315 * [taylor]: Taking taylor expansion of 1.0 in k 1.315 * [taylor]: Taking taylor expansion of k in k 1.315 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.315 * [taylor]: Taking taylor expansion of 2.0 in k 1.315 * [taylor]: Taking taylor expansion of PI in k 1.316 * [taylor]: Taking taylor expansion of (log n) in k 1.316 * [taylor]: Taking taylor expansion of n in k 1.325 * [taylor]: Taking taylor expansion of 0 in k 1.340 * [taylor]: Taking taylor expansion of 0 in k 1.365 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.365 * [taylor]: Taking taylor expansion of 0.5 in k 1.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.365 * [taylor]: Taking taylor expansion of 1.0 in k 1.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.365 * [taylor]: Taking taylor expansion of k in k 1.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.365 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.365 * [taylor]: Taking taylor expansion of 2.0 in k 1.365 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.365 * [taylor]: Taking taylor expansion of PI in k 1.365 * [taylor]: Taking taylor expansion of n in k 1.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.366 * [taylor]: Taking taylor expansion of 0.5 in n 1.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.366 * [taylor]: Taking taylor expansion of 1.0 in n 1.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.366 * [taylor]: Taking taylor expansion of k in n 1.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.366 * [taylor]: Taking taylor expansion of 2.0 in n 1.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.366 * [taylor]: Taking taylor expansion of PI in n 1.366 * [taylor]: Taking taylor expansion of n in n 1.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.370 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.370 * [taylor]: Taking taylor expansion of 0.5 in n 1.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.370 * [taylor]: Taking taylor expansion of 1.0 in n 1.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.370 * [taylor]: Taking taylor expansion of k in n 1.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.370 * [taylor]: Taking taylor expansion of 2.0 in n 1.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.370 * [taylor]: Taking taylor expansion of PI in n 1.370 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.374 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.374 * [taylor]: Taking taylor expansion of 0.5 in k 1.374 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.374 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.374 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.374 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.374 * [taylor]: Taking taylor expansion of 2.0 in k 1.374 * [taylor]: Taking taylor expansion of PI in k 1.375 * [taylor]: Taking taylor expansion of (log n) in k 1.375 * [taylor]: Taking taylor expansion of n in k 1.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.375 * [taylor]: Taking taylor expansion of 1.0 in k 1.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.375 * [taylor]: Taking taylor expansion of k in k 1.385 * [taylor]: Taking taylor expansion of 0 in k 1.392 * [taylor]: Taking taylor expansion of 0 in k 1.401 * [taylor]: Taking taylor expansion of 0 in k 1.402 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.403 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.403 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.403 * [taylor]: Taking taylor expansion of 0.5 in k 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.403 * [taylor]: Taking taylor expansion of k in k 1.403 * [taylor]: Taking taylor expansion of 1.0 in k 1.403 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.403 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.403 * [taylor]: Taking taylor expansion of -2.0 in k 1.403 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.403 * [taylor]: Taking taylor expansion of PI in k 1.403 * [taylor]: Taking taylor expansion of n in k 1.404 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.404 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.404 * [taylor]: Taking taylor expansion of 0.5 in n 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.404 * [taylor]: Taking taylor expansion of k in n 1.404 * [taylor]: Taking taylor expansion of 1.0 in n 1.404 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.404 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.404 * [taylor]: Taking taylor expansion of -2.0 in n 1.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.404 * [taylor]: Taking taylor expansion of PI in n 1.404 * [taylor]: Taking taylor expansion of n in n 1.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.408 * [taylor]: Taking taylor expansion of 0.5 in n 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.408 * [taylor]: Taking taylor expansion of k in n 1.408 * [taylor]: Taking taylor expansion of 1.0 in n 1.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.408 * [taylor]: Taking taylor expansion of -2.0 in n 1.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.412 * [taylor]: Taking taylor expansion of 0.5 in k 1.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.412 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.412 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of 1.0 in k 1.412 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.412 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.412 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.412 * [taylor]: Taking taylor expansion of -2.0 in k 1.412 * [taylor]: Taking taylor expansion of PI in k 1.413 * [taylor]: Taking taylor expansion of (log n) in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.422 * [taylor]: Taking taylor expansion of 0 in k 1.429 * [taylor]: Taking taylor expansion of 0 in k 1.443 * [taylor]: Taking taylor expansion of 0 in k 1.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.444 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.444 * [taylor]: Taking taylor expansion of 1.0 in k 1.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.444 * [taylor]: Taking taylor expansion of k in k 1.446 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.446 * [taylor]: Taking taylor expansion of 1.0 in k 1.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.446 * [taylor]: Taking taylor expansion of k in k 1.457 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.457 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.457 * [taylor]: Taking taylor expansion of 1.0 in k 1.457 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.457 * [taylor]: Taking taylor expansion of k in k 1.458 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.458 * [taylor]: Taking taylor expansion of 1.0 in k 1.458 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.458 * [taylor]: Taking taylor expansion of k in k 1.469 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.469 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.469 * [taylor]: Taking taylor expansion of 1.0 in k 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.469 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.469 * [taylor]: Taking taylor expansion of -1 in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.470 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.470 * [taylor]: Taking taylor expansion of 1.0 in k 1.470 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.471 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.471 * [taylor]: Taking taylor expansion of -1 in k 1.471 * [taylor]: Taking taylor expansion of k in k 1.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.482 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.483 * [taylor]: Taking taylor expansion of 1.0 in k 1.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.483 * [taylor]: Taking taylor expansion of k in k 1.494 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.494 * [taylor]: Taking taylor expansion of k in k 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.496 * [taylor]: Taking taylor expansion of 1.0 in k 1.496 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.496 * [taylor]: Taking taylor expansion of k in k 1.506 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.506 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.506 * [taylor]: Taking taylor expansion of 1.0 in k 1.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.506 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.506 * [taylor]: Taking taylor expansion of -1 in k 1.506 * [taylor]: Taking taylor expansion of k in k 1.507 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.508 * [taylor]: Taking taylor expansion of 1.0 in k 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.508 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.508 * [taylor]: Taking taylor expansion of -1 in k 1.508 * [taylor]: Taking taylor expansion of k in k 1.519 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.520 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.520 * [taylor]: Taking taylor expansion of 2.0 in n 1.520 * [taylor]: Taking taylor expansion of (* n PI) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of PI in n 1.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.520 * [taylor]: Taking taylor expansion of 2.0 in n 1.520 * [taylor]: Taking taylor expansion of (* n PI) in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of PI in n 1.538 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.538 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.538 * [taylor]: Taking taylor expansion of 2.0 in n 1.538 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.538 * [taylor]: Taking taylor expansion of PI in n 1.538 * [taylor]: Taking taylor expansion of n in n 1.538 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.538 * [taylor]: Taking taylor expansion of 2.0 in n 1.538 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.538 * [taylor]: Taking taylor expansion of PI in n 1.538 * [taylor]: Taking taylor expansion of n in n 1.547 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.547 * [taylor]: Taking taylor expansion of -2.0 in n 1.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.547 * [taylor]: Taking taylor expansion of -2.0 in n 1.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.556 * * * [progress]: simplifying candidates 1.558 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.564 * * [simplify]: iteration 0 : 563 enodes (cost 883 ) 1.574 * * [simplify]: iteration 1 : 2197 enodes (cost 815 ) 1.612 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 1.616 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 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) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.617 * * * [progress]: adding candidates to table 2.031 * * [progress]: iteration 3 / 4 2.031 * * * [progress]: picking best candidate 2.051 * * * * [pick]: Picked # 2.051 * * * [progress]: localizing error 2.077 * * * [progress]: generating rewritten candidates 2.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.086 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 2 1) 2.086 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1 1) 2.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.244 * * * [progress]: generating series expansions 2.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.245 * [taylor]: Taking taylor expansion of 0.5 in k 2.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.245 * [taylor]: Taking taylor expansion of 1.0 in k 2.245 * [taylor]: Taking taylor expansion of k in k 2.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.246 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.246 * [taylor]: Taking taylor expansion of 2.0 in k 2.246 * [taylor]: Taking taylor expansion of (* n PI) in k 2.246 * [taylor]: Taking taylor expansion of n in k 2.246 * [taylor]: Taking taylor expansion of PI in k 2.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.247 * [taylor]: Taking taylor expansion of 0.5 in n 2.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.247 * [taylor]: Taking taylor expansion of 1.0 in n 2.247 * [taylor]: Taking taylor expansion of k in n 2.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.247 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.247 * [taylor]: Taking taylor expansion of 2.0 in n 2.247 * [taylor]: Taking taylor expansion of (* n PI) in n 2.247 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of PI in n 2.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.252 * [taylor]: Taking taylor expansion of 0.5 in n 2.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.252 * [taylor]: Taking taylor expansion of 1.0 in n 2.253 * [taylor]: Taking taylor expansion of k in n 2.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.253 * [taylor]: Taking taylor expansion of 2.0 in n 2.253 * [taylor]: Taking taylor expansion of (* n PI) in n 2.253 * [taylor]: Taking taylor expansion of n in n 2.253 * [taylor]: Taking taylor expansion of PI in n 2.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.258 * [taylor]: Taking taylor expansion of 0.5 in k 2.258 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.258 * [taylor]: Taking taylor expansion of 1.0 in k 2.258 * [taylor]: Taking taylor expansion of k in k 2.259 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.259 * [taylor]: Taking taylor expansion of 2.0 in k 2.259 * [taylor]: Taking taylor expansion of PI in k 2.260 * [taylor]: Taking taylor expansion of (log n) in k 2.260 * [taylor]: Taking taylor expansion of n in k 2.269 * [taylor]: Taking taylor expansion of 0 in k 2.292 * [taylor]: Taking taylor expansion of 0 in k 2.310 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.310 * [taylor]: Taking taylor expansion of 0.5 in k 2.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.311 * [taylor]: Taking taylor expansion of 1.0 in k 2.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.311 * [taylor]: Taking taylor expansion of k in k 2.311 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.311 * [taylor]: Taking taylor expansion of 2.0 in k 2.311 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.311 * [taylor]: Taking taylor expansion of PI in k 2.311 * [taylor]: Taking taylor expansion of n in k 2.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.312 * [taylor]: Taking taylor expansion of 0.5 in n 2.312 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.312 * [taylor]: Taking taylor expansion of 1.0 in n 2.312 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.312 * [taylor]: Taking taylor expansion of k in n 2.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.312 * [taylor]: Taking taylor expansion of PI in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.316 * [taylor]: Taking taylor expansion of 0.5 in n 2.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.316 * [taylor]: Taking taylor expansion of 1.0 in n 2.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.316 * [taylor]: Taking taylor expansion of k in n 2.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.316 * [taylor]: Taking taylor expansion of 2.0 in n 2.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.316 * [taylor]: Taking taylor expansion of PI in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.320 * [taylor]: Taking taylor expansion of 0.5 in k 2.320 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.320 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.320 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.320 * [taylor]: Taking taylor expansion of 2.0 in k 2.320 * [taylor]: Taking taylor expansion of PI in k 2.321 * [taylor]: Taking taylor expansion of (log n) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.330 * [taylor]: Taking taylor expansion of 0 in k 2.338 * [taylor]: Taking taylor expansion of 0 in k 2.346 * [taylor]: Taking taylor expansion of 0 in k 2.348 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.348 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.348 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.348 * [taylor]: Taking taylor expansion of 0.5 in k 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.348 * [taylor]: Taking taylor expansion of k in k 2.348 * [taylor]: Taking taylor expansion of 1.0 in k 2.348 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.348 * [taylor]: Taking taylor expansion of -2.0 in k 2.348 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.348 * [taylor]: Taking taylor expansion of PI in k 2.348 * [taylor]: Taking taylor expansion of n in k 2.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.349 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.349 * [taylor]: Taking taylor expansion of 0.5 in n 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.349 * [taylor]: Taking taylor expansion of k in n 2.349 * [taylor]: Taking taylor expansion of 1.0 in n 2.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.349 * [taylor]: Taking taylor expansion of -2.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.353 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.353 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.353 * [taylor]: Taking taylor expansion of 0.5 in n 2.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.353 * [taylor]: Taking taylor expansion of k in n 2.353 * [taylor]: Taking taylor expansion of 1.0 in n 2.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.353 * [taylor]: Taking taylor expansion of -2.0 in n 2.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.353 * [taylor]: Taking taylor expansion of PI in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.357 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.357 * [taylor]: Taking taylor expansion of 0.5 in k 2.357 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.357 * [taylor]: Taking taylor expansion of k in k 2.358 * [taylor]: Taking taylor expansion of 1.0 in k 2.358 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.358 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.358 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.358 * [taylor]: Taking taylor expansion of -2.0 in k 2.358 * [taylor]: Taking taylor expansion of PI in k 2.359 * [taylor]: Taking taylor expansion of (log n) in k 2.359 * [taylor]: Taking taylor expansion of n in k 2.373 * [taylor]: Taking taylor expansion of 0 in k 2.379 * [taylor]: Taking taylor expansion of 0 in k 2.388 * [taylor]: Taking taylor expansion of 0 in k 2.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 2 1) 2.389 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.389 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.389 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.389 * [taylor]: Taking taylor expansion of 1/3 in k 2.389 * [taylor]: Taking taylor expansion of (log k) in k 2.389 * [taylor]: Taking taylor expansion of k in k 2.390 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.390 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.390 * [taylor]: Taking taylor expansion of 1/3 in k 2.390 * [taylor]: Taking taylor expansion of (log k) in k 2.390 * [taylor]: Taking taylor expansion of k in k 2.444 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.444 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.444 * [taylor]: Taking taylor expansion of 1/3 in k 2.444 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.444 * [taylor]: Taking taylor expansion of k in k 2.445 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.445 * [taylor]: Taking taylor expansion of 1/3 in k 2.445 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.445 * [taylor]: Taking taylor expansion of k in k 2.495 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.495 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.495 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.495 * [taylor]: Taking taylor expansion of 1/3 in k 2.495 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.495 * [taylor]: Taking taylor expansion of k in k 2.496 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.496 * [taylor]: Taking taylor expansion of -1 in k 2.497 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.497 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.497 * [taylor]: Taking taylor expansion of 1/3 in k 2.497 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.498 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.498 * [taylor]: Taking taylor expansion of -1 in k 2.563 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1 1) 2.564 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.564 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.564 * [taylor]: Taking taylor expansion of 1/3 in k 2.564 * [taylor]: Taking taylor expansion of (log k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.564 * [taylor]: Taking taylor expansion of 1/3 in k 2.564 * [taylor]: Taking taylor expansion of (log k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.618 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.618 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.618 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.618 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.618 * [taylor]: Taking taylor expansion of 1/3 in k 2.618 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.618 * [taylor]: Taking taylor expansion of k in k 2.619 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.619 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.619 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.619 * [taylor]: Taking taylor expansion of 1/3 in k 2.619 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.619 * [taylor]: Taking taylor expansion of k in k 2.675 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.675 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.675 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.675 * [taylor]: Taking taylor expansion of 1/3 in k 2.675 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.675 * [taylor]: Taking taylor expansion of k in k 2.676 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.676 * [taylor]: Taking taylor expansion of -1 in k 2.676 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.676 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.677 * [taylor]: Taking taylor expansion of 1/3 in k 2.677 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.677 * [taylor]: Taking taylor expansion of k in k 2.677 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.677 * [taylor]: Taking taylor expansion of -1 in k 2.737 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.738 * [approximate]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in (k) around 0 2.738 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.738 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (pow k 1/3))) in k 2.738 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.738 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.738 * [taylor]: Taking taylor expansion of 1.0 in k 2.739 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.741 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.742 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.742 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.742 * [taylor]: Taking taylor expansion of 1/6 in k 2.742 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.742 * [taylor]: Taking taylor expansion of k in k 2.742 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.742 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (pow k 1/3))) in k 2.742 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.742 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.742 * [taylor]: Taking taylor expansion of 1.0 in k 2.749 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.752 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.752 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.752 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.752 * [taylor]: Taking taylor expansion of 1/6 in k 2.752 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.752 * [taylor]: Taking taylor expansion of k in k 2.828 * [approximate]: Taking taylor expansion of (* (pow k 1/6) (/ (pow (cbrt 1.0) 3) (fabs (pow (/ 1 k) 1/3)))) in (k) around 0 2.829 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ (pow (cbrt 1.0) 3) (fabs (pow (/ 1 k) 1/3)))) in k 2.829 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.829 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.829 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.829 * [taylor]: Taking taylor expansion of 1/6 in k 2.829 * [taylor]: Taking taylor expansion of (log k) in k 2.829 * [taylor]: Taking taylor expansion of k in k 2.829 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (pow (/ 1 k) 1/3))) in k 2.829 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.829 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.829 * [taylor]: Taking taylor expansion of 1.0 in k 2.830 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.833 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ (pow (cbrt 1.0) 3) (fabs (pow (/ 1 k) 1/3)))) in k 2.833 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.833 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.833 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.833 * [taylor]: Taking taylor expansion of 1/6 in k 2.833 * [taylor]: Taking taylor expansion of (log k) in k 2.833 * [taylor]: Taking taylor expansion of k in k 2.833 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (pow (/ 1 k) 1/3))) in k 2.833 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.833 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.834 * [taylor]: Taking taylor expansion of 1.0 in k 2.834 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.912 * [approximate]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in (k) around 0 2.913 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.913 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.913 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.913 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.913 * [taylor]: Taking taylor expansion of 1.0 in k 2.913 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.917 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.917 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.917 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.917 * [taylor]: Taking taylor expansion of -1 in k 2.920 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.920 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.920 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.920 * [taylor]: Taking taylor expansion of 1/6 in k 2.920 * [taylor]: Taking taylor expansion of (log k) in k 2.920 * [taylor]: Taking taylor expansion of k in k 2.921 * [taylor]: Taking taylor expansion of (* (/ (pow (cbrt 1.0) 3) (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.921 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 1.0) 3) (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.921 * [taylor]: Taking taylor expansion of (pow (cbrt 1.0) 3) in k 2.921 * [taylor]: Taking taylor expansion of (cbrt 1.0) in k 2.921 * [taylor]: Taking taylor expansion of 1.0 in k 2.922 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.925 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.925 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.925 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.925 * [taylor]: Taking taylor expansion of -1 in k 2.928 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.928 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.928 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.928 * [taylor]: Taking taylor expansion of 1/6 in k 2.928 * [taylor]: Taking taylor expansion of (log k) in k 2.928 * [taylor]: Taking taylor expansion of k in k 3.045 * * * [progress]: simplifying candidates 3.051 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (+ (- (log (cbrt 1.0)) (- (log (fabs (cbrt k))) (log (cbrt 1.0)))) (- (log (cbrt 1.0)) (log (sqrt (cbrt k))))) (+ (- (log (cbrt 1.0)) (- (log (fabs (cbrt k))) (log (cbrt 1.0)))) (log (/ (cbrt 1.0) (sqrt (cbrt k))))) (+ (- (log (cbrt 1.0)) (log (/ (fabs (cbrt k)) (cbrt 1.0)))) (- (log (cbrt 1.0)) (log (sqrt (cbrt k))))) (+ (- (log (cbrt 1.0)) (log (/ (fabs (cbrt k)) (cbrt 1.0)))) (log (/ (cbrt 1.0) (sqrt (cbrt k))))) (+ (log (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (- (log (cbrt 1.0)) (log (sqrt (cbrt k))))) (+ (log (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (log (/ (cbrt 1.0) (sqrt (cbrt k))))) (log (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (exp (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ 1.0 (/ (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k))) 1.0)) (/ 1.0 (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (/ 1.0 (/ (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k))) 1.0)) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ 1.0 (* (* (/ (fabs (cbrt k)) (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ 1.0 (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (/ 1.0 (* (* (/ (fabs (cbrt k)) (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (fabs (cbrt k)) (cbrt 1.0)))) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (* (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ 1.0 (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (* (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (cbrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (cbrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))))) (cbrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (* (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (sqrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (sqrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (cbrt 1.0) (cbrt 1.0)) (* (/ (fabs (cbrt k)) (cbrt 1.0)) (sqrt (cbrt k))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt (sqrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (* (cbrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (cbrt (/ (cbrt 1.0) (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (cbrt 1)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt 1)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt 1))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt (sqrt 1.0)) 1)) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (cbrt 1)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt 1))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) (sqrt (sqrt (cbrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1) 1)) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (* (cbrt (cbrt 1.0)) (cbrt (cbrt 1.0))) (sqrt (cbrt (sqrt k))))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (* 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1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 3.067 * * [simplify]: iteration 0 : 1519 enodes (cost 4793 ) 3.088 * * [simplify]: iteration 1 : 5001 enodes (cost 4663 ) 3.112 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) 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(log (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (log (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (log (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (exp (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (/ (* 1.0 (/ (* 1.0 1.0) (pow (fabs (pow k 1/3)) 3))) (pow (sqrt (cbrt k)) 3)) (* (* (pow (/ (cbrt 1.0) (sqrt (cbrt k))) 3) (/ 1.0 (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k))))) 1.0) (/ (* (/ (/ 1.0 (pow k 1/3)) (sqrt (cbrt k))) 1.0) (pow (/ (fabs (cbrt k)) (cbrt 1.0)) 3)) (/ (* (pow (/ (cbrt 1.0) (sqrt (cbrt k))) 3) 1.0) (pow (/ (fabs (cbrt k)) (cbrt 1.0)) 3)) (/ (* 1.0 (pow (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) 3)) (pow (sqrt (cbrt k)) 3)) (pow (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) 3) (* (cbrt (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))) (cbrt 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(/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt 1.0)) (cbrt 1.0)) (* (/ (cbrt (cbrt 1.0)) (cbrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt (cbrt 1.0))) (cbrt 1.0)) (* (/ (sqrt (cbrt 1.0)) (cbrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt (cbrt 1.0)) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (sqrt (cbrt 1.0)) (cbrt 1.0))) (* (/ (cbrt 1.0) (cbrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (sqrt (/ (fabs (cbrt k)) (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (cbrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (sqrt (fabs (cbrt k))) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (sqrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (sqrt (cbrt 1.0)))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (* (/ (cbrt 1.0) (sqrt (cbrt k))) (cbrt 1.0)) (cbrt 1.0)) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ 1 (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (cbrt 1.0)) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt (cbrt k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (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)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* (* 1.0 (pow (/ -1 k) 1/6)) (sqrt (/ 1 (cbrt -1)))) (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))) 3.115 * * * [progress]: adding candidates to table 5.014 * * [progress]: iteration 4 / 4 5.014 * * * [progress]: picking best candidate 5.026 * * * * [pick]: Picked # 5.026 * * * [progress]: localizing error 5.041 * * * [progress]: generating rewritten candidates 5.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.053 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.069 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.072 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.089 * * * [progress]: generating series expansions 5.089 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.089 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.090 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.090 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.090 * [taylor]: Taking taylor expansion of 0.25 in k 5.090 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.090 * [taylor]: Taking taylor expansion of 1.0 in k 5.090 * [taylor]: Taking taylor expansion of k in k 5.090 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.090 * [taylor]: Taking taylor expansion of 2.0 in k 5.090 * [taylor]: Taking taylor expansion of (* n PI) in k 5.090 * [taylor]: Taking taylor expansion of n in k 5.090 * [taylor]: Taking taylor expansion of PI in k 5.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.091 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.091 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.091 * [taylor]: Taking taylor expansion of 0.25 in n 5.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.091 * [taylor]: Taking taylor expansion of 1.0 in n 5.091 * [taylor]: Taking taylor expansion of k in n 5.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.091 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.091 * [taylor]: Taking taylor expansion of 2.0 in n 5.091 * [taylor]: Taking taylor expansion of (* n PI) in n 5.091 * [taylor]: Taking taylor expansion of n in n 5.091 * [taylor]: Taking taylor expansion of PI in n 5.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.096 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.096 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.096 * [taylor]: Taking taylor expansion of 0.25 in n 5.096 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.096 * [taylor]: Taking taylor expansion of 1.0 in n 5.096 * [taylor]: Taking taylor expansion of k in n 5.096 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.096 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.096 * [taylor]: Taking taylor expansion of 2.0 in n 5.097 * [taylor]: Taking taylor expansion of (* n PI) in n 5.097 * [taylor]: Taking taylor expansion of n in n 5.097 * [taylor]: Taking taylor expansion of PI in n 5.102 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.102 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.102 * [taylor]: Taking taylor expansion of 0.25 in k 5.102 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.102 * [taylor]: Taking taylor expansion of 1.0 in k 5.102 * [taylor]: Taking taylor expansion of k in k 5.102 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.102 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.102 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.102 * [taylor]: Taking taylor expansion of 2.0 in k 5.102 * [taylor]: Taking taylor expansion of PI in k 5.103 * [taylor]: Taking taylor expansion of (log n) in k 5.103 * [taylor]: Taking taylor expansion of n in k 5.112 * [taylor]: Taking taylor expansion of 0 in k 5.128 * [taylor]: Taking taylor expansion of 0 in k 5.152 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.152 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.152 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.152 * [taylor]: Taking taylor expansion of 0.25 in k 5.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.152 * [taylor]: Taking taylor expansion of 1.0 in k 5.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.152 * [taylor]: Taking taylor expansion of k in k 5.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.152 * [taylor]: Taking taylor expansion of 2.0 in k 5.152 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.152 * [taylor]: Taking taylor expansion of PI in k 5.152 * [taylor]: Taking taylor expansion of n in k 5.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.154 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.154 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.154 * [taylor]: Taking taylor expansion of 0.25 in n 5.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.154 * [taylor]: Taking taylor expansion of 1.0 in n 5.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.154 * [taylor]: Taking taylor expansion of k in n 5.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.154 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.154 * [taylor]: Taking taylor expansion of 2.0 in n 5.154 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.154 * [taylor]: Taking taylor expansion of PI in n 5.154 * [taylor]: Taking taylor expansion of n in n 5.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.157 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.157 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.157 * [taylor]: Taking taylor expansion of 0.25 in n 5.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.157 * [taylor]: Taking taylor expansion of 1.0 in n 5.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.157 * [taylor]: Taking taylor expansion of k in n 5.157 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.158 * [taylor]: Taking taylor expansion of 2.0 in n 5.158 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.158 * [taylor]: Taking taylor expansion of PI in n 5.158 * [taylor]: Taking taylor expansion of n in n 5.161 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.161 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.161 * [taylor]: Taking taylor expansion of 0.25 in k 5.161 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.162 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.162 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.162 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.162 * [taylor]: Taking taylor expansion of 2.0 in k 5.162 * [taylor]: Taking taylor expansion of PI in k 5.162 * [taylor]: Taking taylor expansion of (log n) in k 5.163 * [taylor]: Taking taylor expansion of n in k 5.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.163 * [taylor]: Taking taylor expansion of 1.0 in k 5.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.163 * [taylor]: Taking taylor expansion of k in k 5.172 * [taylor]: Taking taylor expansion of 0 in k 5.179 * [taylor]: Taking taylor expansion of 0 in k 5.188 * [taylor]: Taking taylor expansion of 0 in k 5.189 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.189 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.189 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.189 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.189 * [taylor]: Taking taylor expansion of 0.25 in k 5.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.189 * [taylor]: Taking taylor expansion of k in k 5.190 * [taylor]: Taking taylor expansion of 1.0 in k 5.190 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.190 * [taylor]: Taking taylor expansion of -2.0 in k 5.190 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.190 * [taylor]: Taking taylor expansion of PI in k 5.190 * [taylor]: Taking taylor expansion of n in k 5.190 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.190 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.190 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.191 * [taylor]: Taking taylor expansion of 0.25 in n 5.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.191 * [taylor]: Taking taylor expansion of k in n 5.191 * [taylor]: Taking taylor expansion of 1.0 in n 5.191 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.191 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.191 * [taylor]: Taking taylor expansion of -2.0 in n 5.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.191 * [taylor]: Taking taylor expansion of PI in n 5.191 * [taylor]: Taking taylor expansion of n in n 5.194 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.194 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.194 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.194 * [taylor]: Taking taylor expansion of 0.25 in n 5.194 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.194 * [taylor]: Taking taylor expansion of k in n 5.194 * [taylor]: Taking taylor expansion of 1.0 in n 5.194 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.194 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.194 * [taylor]: Taking taylor expansion of -2.0 in n 5.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.194 * [taylor]: Taking taylor expansion of PI in n 5.194 * [taylor]: Taking taylor expansion of n in n 5.198 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.198 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.198 * [taylor]: Taking taylor expansion of 0.25 in k 5.198 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.198 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.198 * [taylor]: Taking taylor expansion of k in k 5.198 * [taylor]: Taking taylor expansion of 1.0 in k 5.198 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.198 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.199 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.199 * [taylor]: Taking taylor expansion of -2.0 in k 5.199 * [taylor]: Taking taylor expansion of PI in k 5.199 * [taylor]: Taking taylor expansion of (log n) in k 5.200 * [taylor]: Taking taylor expansion of n in k 5.208 * [taylor]: Taking taylor expansion of 0 in k 5.215 * [taylor]: Taking taylor expansion of 0 in k 5.230 * [taylor]: Taking taylor expansion of 0 in k 5.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.231 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.231 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.231 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.231 * [taylor]: Taking taylor expansion of 0.25 in k 5.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.232 * [taylor]: Taking taylor expansion of 1.0 in k 5.232 * [taylor]: Taking taylor expansion of k in k 5.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.232 * [taylor]: Taking taylor expansion of 2.0 in k 5.232 * [taylor]: Taking taylor expansion of (* n PI) in k 5.232 * [taylor]: Taking taylor expansion of n in k 5.232 * [taylor]: Taking taylor expansion of PI in k 5.233 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.233 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.233 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.233 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.233 * [taylor]: Taking taylor expansion of 0.25 in n 5.233 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.233 * [taylor]: Taking taylor expansion of 1.0 in n 5.233 * [taylor]: Taking taylor expansion of k in n 5.233 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.233 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.233 * [taylor]: Taking taylor expansion of 2.0 in n 5.233 * [taylor]: Taking taylor expansion of (* n PI) in n 5.233 * [taylor]: Taking taylor expansion of n in n 5.233 * [taylor]: Taking taylor expansion of PI in n 5.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.238 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.238 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.238 * [taylor]: Taking taylor expansion of 0.25 in n 5.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.238 * [taylor]: Taking taylor expansion of 1.0 in n 5.238 * [taylor]: Taking taylor expansion of k in n 5.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.238 * [taylor]: Taking taylor expansion of 2.0 in n 5.238 * [taylor]: Taking taylor expansion of (* n PI) in n 5.238 * [taylor]: Taking taylor expansion of n in n 5.238 * [taylor]: Taking taylor expansion of PI in n 5.244 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.244 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.244 * [taylor]: Taking taylor expansion of 0.25 in k 5.244 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.244 * [taylor]: Taking taylor expansion of 1.0 in k 5.244 * [taylor]: Taking taylor expansion of k in k 5.244 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.244 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.244 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.244 * [taylor]: Taking taylor expansion of 2.0 in k 5.244 * [taylor]: Taking taylor expansion of PI in k 5.245 * [taylor]: Taking taylor expansion of (log n) in k 5.245 * [taylor]: Taking taylor expansion of n in k 5.254 * [taylor]: Taking taylor expansion of 0 in k 5.270 * [taylor]: Taking taylor expansion of 0 in k 5.289 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.289 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.289 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.289 * [taylor]: Taking taylor expansion of 0.25 in k 5.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.289 * [taylor]: Taking taylor expansion of 1.0 in k 5.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.289 * [taylor]: Taking taylor expansion of k in k 5.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.290 * [taylor]: Taking taylor expansion of 2.0 in k 5.290 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.290 * [taylor]: Taking taylor expansion of PI in k 5.290 * [taylor]: Taking taylor expansion of n in k 5.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.291 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.291 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.291 * [taylor]: Taking taylor expansion of 0.25 in n 5.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.291 * [taylor]: Taking taylor expansion of 1.0 in n 5.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.291 * [taylor]: Taking taylor expansion of k in n 5.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.291 * [taylor]: Taking taylor expansion of 2.0 in n 5.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.291 * [taylor]: Taking taylor expansion of PI in n 5.291 * [taylor]: Taking taylor expansion of n in n 5.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.295 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.295 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.295 * [taylor]: Taking taylor expansion of 0.25 in n 5.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.295 * [taylor]: Taking taylor expansion of 1.0 in n 5.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.295 * [taylor]: Taking taylor expansion of k in n 5.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.295 * [taylor]: Taking taylor expansion of 2.0 in n 5.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.295 * [taylor]: Taking taylor expansion of PI in n 5.295 * [taylor]: Taking taylor expansion of n in n 5.298 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.298 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.299 * [taylor]: Taking taylor expansion of 0.25 in k 5.299 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.299 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.299 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.299 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.299 * [taylor]: Taking taylor expansion of 2.0 in k 5.299 * [taylor]: Taking taylor expansion of PI in k 5.300 * [taylor]: Taking taylor expansion of (log n) in k 5.300 * [taylor]: Taking taylor expansion of n in k 5.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.300 * [taylor]: Taking taylor expansion of 1.0 in k 5.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.300 * [taylor]: Taking taylor expansion of k in k 5.315 * [taylor]: Taking taylor expansion of 0 in k 5.322 * [taylor]: Taking taylor expansion of 0 in k 5.331 * [taylor]: Taking taylor expansion of 0 in k 5.332 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.332 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.332 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.332 * [taylor]: Taking taylor expansion of 0.25 in k 5.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.332 * [taylor]: Taking taylor expansion of k in k 5.333 * [taylor]: Taking taylor expansion of 1.0 in k 5.333 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.333 * [taylor]: Taking taylor expansion of -2.0 in k 5.333 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.333 * [taylor]: Taking taylor expansion of PI in k 5.333 * [taylor]: Taking taylor expansion of n in k 5.333 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.334 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.334 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.334 * [taylor]: Taking taylor expansion of 0.25 in n 5.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.334 * [taylor]: Taking taylor expansion of k in n 5.334 * [taylor]: Taking taylor expansion of 1.0 in n 5.334 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.334 * [taylor]: Taking taylor expansion of -2.0 in n 5.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.334 * [taylor]: Taking taylor expansion of PI in n 5.334 * [taylor]: Taking taylor expansion of n in n 5.337 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.337 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.337 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.337 * [taylor]: Taking taylor expansion of 0.25 in n 5.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.337 * [taylor]: Taking taylor expansion of k in n 5.337 * [taylor]: Taking taylor expansion of 1.0 in n 5.337 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.338 * [taylor]: Taking taylor expansion of -2.0 in n 5.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.338 * [taylor]: Taking taylor expansion of PI in n 5.338 * [taylor]: Taking taylor expansion of n in n 5.341 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.341 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.341 * [taylor]: Taking taylor expansion of 0.25 in k 5.341 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.341 * [taylor]: Taking taylor expansion of k in k 5.341 * [taylor]: Taking taylor expansion of 1.0 in k 5.341 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.342 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.342 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.342 * [taylor]: Taking taylor expansion of -2.0 in k 5.342 * [taylor]: Taking taylor expansion of PI in k 5.342 * [taylor]: Taking taylor expansion of (log n) in k 5.343 * [taylor]: Taking taylor expansion of n in k 5.351 * [taylor]: Taking taylor expansion of 0 in k 5.358 * [taylor]: Taking taylor expansion of 0 in k 5.367 * [taylor]: Taking taylor expansion of 0 in k 5.368 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.368 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.368 * [taylor]: Taking taylor expansion of 1.0 in k 5.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.368 * [taylor]: Taking taylor expansion of k in k 5.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.369 * [taylor]: Taking taylor expansion of 1.0 in k 5.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.369 * [taylor]: Taking taylor expansion of k in k 5.380 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.380 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.380 * [taylor]: Taking taylor expansion of 1.0 in k 5.380 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.380 * [taylor]: Taking taylor expansion of k in k 5.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.381 * [taylor]: Taking taylor expansion of 1.0 in k 5.381 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.381 * [taylor]: Taking taylor expansion of k in k 5.397 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.397 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.397 * [taylor]: Taking taylor expansion of 1.0 in k 5.397 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.397 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.397 * [taylor]: Taking taylor expansion of -1 in k 5.397 * [taylor]: Taking taylor expansion of k in k 5.398 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.398 * [taylor]: Taking taylor expansion of 1.0 in k 5.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.398 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.398 * [taylor]: Taking taylor expansion of -1 in k 5.399 * [taylor]: Taking taylor expansion of k in k 5.410 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.410 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.410 * [taylor]: Taking taylor expansion of 2.0 in n 5.410 * [taylor]: Taking taylor expansion of (* n PI) in n 5.410 * [taylor]: Taking taylor expansion of n in n 5.410 * [taylor]: Taking taylor expansion of PI in n 5.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.410 * [taylor]: Taking taylor expansion of 2.0 in n 5.410 * [taylor]: Taking taylor expansion of (* n PI) in n 5.410 * [taylor]: Taking taylor expansion of n in n 5.410 * [taylor]: Taking taylor expansion of PI in n 5.423 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.423 * [taylor]: Taking taylor expansion of 2.0 in n 5.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.423 * [taylor]: Taking taylor expansion of PI in n 5.423 * [taylor]: Taking taylor expansion of n in n 5.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.423 * [taylor]: Taking taylor expansion of 2.0 in n 5.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.423 * [taylor]: Taking taylor expansion of PI in n 5.423 * [taylor]: Taking taylor expansion of n in n 5.432 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.432 * [taylor]: Taking taylor expansion of -2.0 in n 5.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.432 * [taylor]: Taking taylor expansion of PI in n 5.432 * [taylor]: Taking taylor expansion of n in n 5.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.432 * [taylor]: Taking taylor expansion of -2.0 in n 5.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.432 * [taylor]: Taking taylor expansion of PI in n 5.432 * [taylor]: Taking taylor expansion of n in n 5.441 * * * [progress]: simplifying candidates 5.444 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 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 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0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 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PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 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) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 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) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.523 * * * [progress]: adding candidates to table 6.232 * [progress]: [Phase 3 of 3] Extracting. 6.232 * * [regime]: Finding splitpoints for: (# # # # # #) 6.234 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.234 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 6.262 * * * * [regimes]: Trying to branch on n from (# # # # # #) 6.292 * * * * [regimes]: Trying to branch on k from (# # # # # #) 6.322 * * * [regime]: Found split indices: #