13.372 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.071 * [progress]: [Phase 2 of 3] Improving. 0.071 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.073 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.075 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.077 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.079 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.085 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.107 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.108 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.124 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.143 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.165 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.165 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.165 * [taylor]: Taking taylor expansion of 0.5 in k 0.165 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.165 * [taylor]: Taking taylor expansion of 1.0 in k 0.165 * [taylor]: Taking taylor expansion of k in k 0.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.165 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.165 * [taylor]: Taking taylor expansion of 2.0 in k 0.165 * [taylor]: Taking taylor expansion of (* n PI) in k 0.166 * [taylor]: Taking taylor expansion of n in k 0.166 * [taylor]: Taking taylor expansion of PI in k 0.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.167 * [taylor]: Taking taylor expansion of 0.5 in n 0.167 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.167 * [taylor]: Taking taylor expansion of 1.0 in n 0.167 * [taylor]: Taking taylor expansion of k in n 0.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.167 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.167 * [taylor]: Taking taylor expansion of 2.0 in n 0.167 * [taylor]: Taking taylor expansion of (* n PI) in n 0.167 * [taylor]: Taking taylor expansion of n in n 0.167 * [taylor]: Taking taylor expansion of PI in n 0.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.173 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.173 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.173 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.173 * [taylor]: Taking taylor expansion of 0.5 in n 0.173 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.173 * [taylor]: Taking taylor expansion of 1.0 in n 0.173 * [taylor]: Taking taylor expansion of k in n 0.173 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.173 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.173 * [taylor]: Taking taylor expansion of 2.0 in n 0.173 * [taylor]: Taking taylor expansion of (* n PI) in n 0.173 * [taylor]: Taking taylor expansion of n in n 0.173 * [taylor]: Taking taylor expansion of PI in n 0.178 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.178 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.178 * [taylor]: Taking taylor expansion of 0.5 in k 0.178 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.178 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.178 * [taylor]: Taking taylor expansion of 1.0 in k 0.178 * [taylor]: Taking taylor expansion of k in k 0.178 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.178 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.178 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.178 * [taylor]: Taking taylor expansion of 2.0 in k 0.178 * [taylor]: Taking taylor expansion of PI in k 0.179 * [taylor]: Taking taylor expansion of (log n) in k 0.179 * [taylor]: Taking taylor expansion of n in k 0.189 * [taylor]: Taking taylor expansion of 0 in k 0.204 * [taylor]: Taking taylor expansion of 0 in k 0.228 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.228 * [taylor]: Taking taylor expansion of 0.5 in k 0.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.229 * [taylor]: Taking taylor expansion of 1.0 in k 0.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.229 * [taylor]: Taking taylor expansion of k in k 0.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.229 * [taylor]: Taking taylor expansion of 2.0 in k 0.229 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.229 * [taylor]: Taking taylor expansion of PI in k 0.229 * [taylor]: Taking taylor expansion of n in k 0.230 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.230 * [taylor]: Taking taylor expansion of 0.5 in n 0.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.230 * [taylor]: Taking taylor expansion of 1.0 in n 0.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.230 * [taylor]: Taking taylor expansion of k in n 0.230 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.230 * [taylor]: Taking taylor expansion of 2.0 in n 0.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.230 * [taylor]: Taking taylor expansion of PI in n 0.230 * [taylor]: Taking taylor expansion of n in n 0.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.234 * [taylor]: Taking taylor expansion of 0.5 in n 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.234 * [taylor]: Taking taylor expansion of 1.0 in n 0.234 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.234 * [taylor]: Taking taylor expansion of k in n 0.234 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.234 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.234 * [taylor]: Taking taylor expansion of 2.0 in n 0.234 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.234 * [taylor]: Taking taylor expansion of PI in n 0.234 * [taylor]: Taking taylor expansion of n in n 0.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.238 * [taylor]: Taking taylor expansion of 0.5 in k 0.238 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.238 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.238 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.238 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.238 * [taylor]: Taking taylor expansion of 2.0 in k 0.238 * [taylor]: Taking taylor expansion of PI in k 0.239 * [taylor]: Taking taylor expansion of (log n) in k 0.239 * [taylor]: Taking taylor expansion of n in k 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.239 * [taylor]: Taking taylor expansion of 1.0 in k 0.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.239 * [taylor]: Taking taylor expansion of k in k 0.249 * [taylor]: Taking taylor expansion of 0 in k 0.256 * [taylor]: Taking taylor expansion of 0 in k 0.265 * [taylor]: Taking taylor expansion of 0 in k 0.266 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.266 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.266 * [taylor]: Taking taylor expansion of 0.5 in k 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.266 * [taylor]: Taking taylor expansion of k in k 0.266 * [taylor]: Taking taylor expansion of 1.0 in k 0.267 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.267 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.267 * [taylor]: Taking taylor expansion of -2.0 in k 0.267 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.267 * [taylor]: Taking taylor expansion of PI in k 0.267 * [taylor]: Taking taylor expansion of n in k 0.267 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.268 * [taylor]: Taking taylor expansion of 0.5 in n 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.268 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.268 * [taylor]: Taking taylor expansion of -2.0 in n 0.268 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.268 * [taylor]: Taking taylor expansion of PI in n 0.268 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.272 * [taylor]: Taking taylor expansion of 0.5 in n 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.272 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.272 * [taylor]: Taking taylor expansion of k in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.272 * [taylor]: Taking taylor expansion of -2.0 in n 0.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.276 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.276 * [taylor]: Taking taylor expansion of 0.5 in k 0.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.276 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.276 * [taylor]: Taking taylor expansion of k in k 0.276 * [taylor]: Taking taylor expansion of 1.0 in k 0.276 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.276 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.276 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.276 * [taylor]: Taking taylor expansion of -2.0 in k 0.277 * [taylor]: Taking taylor expansion of PI in k 0.277 * [taylor]: Taking taylor expansion of (log n) in k 0.277 * [taylor]: Taking taylor expansion of n in k 0.286 * [taylor]: Taking taylor expansion of 0 in k 0.293 * [taylor]: Taking taylor expansion of 0 in k 0.302 * [taylor]: Taking taylor expansion of 0 in k 0.303 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.303 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (* n PI) in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (* n PI) in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.320 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [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 0.321 * [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 0.330 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.330 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.330 * [taylor]: Taking taylor expansion of -2.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.330 * [taylor]: Taking taylor expansion of -2.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.339 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.339 * [taylor]: Taking taylor expansion of 1.0 in k 0.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.339 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.340 * [taylor]: Taking taylor expansion of k in k 0.351 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.351 * [taylor]: Taking taylor expansion of 1.0 in k 0.351 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.363 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.363 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.363 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.363 * [taylor]: Taking taylor expansion of -1 in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.365 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.365 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.365 * [taylor]: Taking taylor expansion of -1 in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.376 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.377 * [taylor]: Taking taylor expansion of 1.0 in n 0.377 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.377 * [taylor]: Taking taylor expansion of k in n 0.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.378 * [taylor]: Taking taylor expansion of 0.5 in n 0.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.378 * [taylor]: Taking taylor expansion of 1.0 in n 0.378 * [taylor]: Taking taylor expansion of k in n 0.378 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.378 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.378 * [taylor]: Taking taylor expansion of 2.0 in n 0.378 * [taylor]: Taking taylor expansion of (* n PI) in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.378 * [taylor]: Taking taylor expansion of PI in n 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.383 * [taylor]: Taking taylor expansion of 1.0 in k 0.383 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.383 * [taylor]: Taking taylor expansion of k in k 0.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.385 * [taylor]: Taking taylor expansion of 0.5 in k 0.385 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.385 * [taylor]: Taking taylor expansion of 1.0 in k 0.385 * [taylor]: Taking taylor expansion of k in k 0.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.385 * [taylor]: Taking taylor expansion of 2.0 in k 0.385 * [taylor]: Taking taylor expansion of (* n PI) in k 0.385 * [taylor]: Taking taylor expansion of n in k 0.385 * [taylor]: Taking taylor expansion of PI in k 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.386 * [taylor]: Taking taylor expansion of 1.0 in k 0.386 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.386 * [taylor]: Taking taylor expansion of k in k 0.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.387 * [taylor]: Taking taylor expansion of 0.5 in k 0.387 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.387 * [taylor]: Taking taylor expansion of 2.0 in k 0.387 * [taylor]: Taking taylor expansion of (* n PI) in k 0.387 * [taylor]: Taking taylor expansion of n in k 0.387 * [taylor]: Taking taylor expansion of PI in k 0.394 * [taylor]: Taking taylor expansion of 0 in n 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of +nan.0 in n 0.399 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.400 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.400 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (log PI) in n 0.400 * [taylor]: Taking taylor expansion of PI in n 0.401 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.401 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.402 * [taylor]: Taking taylor expansion of 1.0 in n 0.402 * [taylor]: Taking taylor expansion of (log n) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.402 * [taylor]: Taking taylor expansion of 1.0 in n 0.402 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.402 * [taylor]: Taking taylor expansion of 2.0 in n 0.421 * [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 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of +nan.0 in n 0.421 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.422 * [taylor]: Taking taylor expansion of 0.5 in n 0.422 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.422 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.422 * [taylor]: Taking taylor expansion of 1.0 in n 0.422 * [taylor]: Taking taylor expansion of (log PI) in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.423 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log n) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.430 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.430 * [taylor]: Taking taylor expansion of +nan.0 in n 0.430 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.430 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.430 * [taylor]: Taking taylor expansion of 0.5 in n 0.430 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.430 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.430 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.430 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.430 * [taylor]: Taking taylor expansion of 2.0 in n 0.432 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.432 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log PI) in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.434 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.434 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (log n) in n 0.434 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.438 * [taylor]: Taking taylor expansion of 2.0 in n 0.438 * [taylor]: Taking taylor expansion of (* n PI) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.494 * [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 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of +nan.0 in n 0.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.496 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [taylor]: Taking taylor expansion of (log n) in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.497 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.497 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.497 * [taylor]: Taking taylor expansion of 1.0 in n 0.497 * [taylor]: Taking taylor expansion of (log PI) in n 0.497 * [taylor]: Taking taylor expansion of PI in n 0.502 * [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 0.502 * [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 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of +nan.0 in n 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.502 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.502 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.504 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log PI) in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log n) in n 0.506 * [taylor]: Taking taylor expansion of n in n 0.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.510 * [taylor]: Taking taylor expansion of 2.0 in n 0.510 * [taylor]: Taking taylor expansion of (* n PI) in n 0.510 * [taylor]: Taking taylor expansion of n in n 0.510 * [taylor]: Taking taylor expansion of PI in n 0.513 * [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 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of +nan.0 in n 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.513 * [taylor]: Taking taylor expansion of 0.5 in n 0.514 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.514 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.514 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.515 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log PI) in n 0.515 * [taylor]: Taking taylor expansion of PI in n 0.517 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log n) in n 0.517 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.522 * [taylor]: Taking taylor expansion of 2.0 in n 0.522 * [taylor]: Taking taylor expansion of (* n PI) in n 0.522 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of PI in n 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.601 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.602 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.602 * [taylor]: Taking taylor expansion of 2.0 in n 0.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.605 * [taylor]: Taking taylor expansion of 1.0 in k 0.605 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.606 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.606 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.607 * [taylor]: Taking taylor expansion of 0.5 in k 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.607 * [taylor]: Taking taylor expansion of 1.0 in k 0.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.607 * [taylor]: Taking taylor expansion of 2.0 in k 0.607 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.607 * [taylor]: Taking taylor expansion of PI in k 0.607 * [taylor]: Taking taylor expansion of n in k 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.608 * [taylor]: Taking taylor expansion of 1.0 in k 0.608 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.608 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.608 * [taylor]: Taking taylor expansion of k in k 0.609 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.609 * [taylor]: Taking taylor expansion of 0.5 in k 0.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.609 * [taylor]: Taking taylor expansion of 1.0 in k 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.609 * [taylor]: Taking taylor expansion of k in k 0.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.610 * [taylor]: Taking taylor expansion of 2.0 in k 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.610 * [taylor]: Taking taylor expansion of PI in k 0.610 * [taylor]: Taking taylor expansion of n in k 0.611 * [taylor]: Taking taylor expansion of 0 in n 0.612 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.612 * [taylor]: Taking taylor expansion of +nan.0 in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.622 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.622 * [taylor]: Taking taylor expansion of +nan.0 in n 0.622 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.622 * [taylor]: Taking taylor expansion of 0.5 in n 0.622 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.622 * [taylor]: Taking taylor expansion of 2.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.640 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.640 * [taylor]: Taking taylor expansion of +nan.0 in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of 2.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.642 * [taylor]: Taking taylor expansion of k in n 0.650 * [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 0.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.650 * [taylor]: Taking taylor expansion of 1.0 in n 0.650 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.651 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.651 * [taylor]: Taking taylor expansion of 0.5 in n 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.651 * [taylor]: Taking taylor expansion of k in n 0.651 * [taylor]: Taking taylor expansion of 1.0 in n 0.651 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.651 * [taylor]: Taking taylor expansion of -2.0 in n 0.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.651 * [taylor]: Taking taylor expansion of PI in n 0.651 * [taylor]: Taking taylor expansion of n in n 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.654 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.654 * [taylor]: Taking taylor expansion of -1 in n 0.654 * [taylor]: Taking taylor expansion of k in n 0.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.655 * [taylor]: Taking taylor expansion of 1.0 in k 0.655 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.656 * [taylor]: Taking taylor expansion of 0.5 in k 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.656 * [taylor]: Taking taylor expansion of k in k 0.656 * [taylor]: Taking taylor expansion of 1.0 in k 0.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.656 * [taylor]: Taking taylor expansion of -2.0 in k 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.656 * [taylor]: Taking taylor expansion of PI in k 0.656 * [taylor]: Taking taylor expansion of n in k 0.657 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.657 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.657 * [taylor]: Taking taylor expansion of -1 in k 0.657 * [taylor]: Taking taylor expansion of k in k 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.659 * [taylor]: Taking taylor expansion of 1.0 in k 0.659 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.659 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.659 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.659 * [taylor]: Taking taylor expansion of 0.5 in k 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.659 * [taylor]: Taking taylor expansion of k in k 0.659 * [taylor]: Taking taylor expansion of 1.0 in k 0.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.659 * [taylor]: Taking taylor expansion of -2.0 in k 0.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.659 * [taylor]: Taking taylor expansion of PI in k 0.659 * [taylor]: Taking taylor expansion of n in k 0.660 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.660 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.660 * [taylor]: Taking taylor expansion of -1 in k 0.660 * [taylor]: Taking taylor expansion of k in k 0.666 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.666 * [taylor]: Taking taylor expansion of +nan.0 in n 0.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.666 * [taylor]: Taking taylor expansion of 0.5 in n 0.666 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.667 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.667 * [taylor]: Taking taylor expansion of -2.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.667 * [taylor]: Taking taylor expansion of PI in n 0.667 * [taylor]: Taking taylor expansion of n in n 0.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.676 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.676 * [taylor]: Taking taylor expansion of +nan.0 in n 0.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.676 * [taylor]: Taking taylor expansion of -2.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.676 * [taylor]: Taking taylor expansion of PI in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.694 * [taylor]: Taking taylor expansion of 0.5 in n 0.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.694 * [taylor]: Taking taylor expansion of k in n 0.694 * [taylor]: Taking taylor expansion of 1.0 in n 0.694 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.694 * [taylor]: Taking taylor expansion of -2.0 in n 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.703 * * * [progress]: simplifying candidates 0.706 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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 (* (* (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)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.716 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.732 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 0.795 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 0.801 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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)) (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)) (/ (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)) (/ (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 (sqrt 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 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.802 * * * [progress]: adding candidates to table 1.255 * * [progress]: iteration 2 / 4 1.255 * * * [progress]: picking best candidate 1.282 * * * * [pick]: Picked # 1.282 * * * [progress]: localizing error 1.297 * * * [progress]: generating rewritten candidates 1.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.326 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.336 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.356 * * * [progress]: generating series expansions 1.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.356 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.357 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.357 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.357 * [taylor]: Taking taylor expansion of 0.25 in k 1.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.357 * [taylor]: Taking taylor expansion of 1.0 in k 1.357 * [taylor]: Taking taylor expansion of k in k 1.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.357 * [taylor]: Taking taylor expansion of 2.0 in k 1.357 * [taylor]: Taking taylor expansion of (* n PI) in k 1.357 * [taylor]: Taking taylor expansion of n in k 1.357 * [taylor]: Taking taylor expansion of PI in k 1.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.358 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.358 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.358 * [taylor]: Taking taylor expansion of 0.25 in n 1.358 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.358 * [taylor]: Taking taylor expansion of 1.0 in n 1.358 * [taylor]: Taking taylor expansion of k in n 1.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.358 * [taylor]: Taking taylor expansion of 2.0 in n 1.358 * [taylor]: Taking taylor expansion of (* n PI) in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.364 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.364 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.364 * [taylor]: Taking taylor expansion of 0.25 in n 1.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.364 * [taylor]: Taking taylor expansion of 1.0 in n 1.364 * [taylor]: Taking taylor expansion of k in n 1.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.364 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.364 * [taylor]: Taking taylor expansion of 2.0 in n 1.364 * [taylor]: Taking taylor expansion of (* n PI) in n 1.364 * [taylor]: Taking taylor expansion of n in n 1.364 * [taylor]: Taking taylor expansion of PI in n 1.375 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.375 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.375 * [taylor]: Taking taylor expansion of 0.25 in k 1.375 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.375 * [taylor]: Taking taylor expansion of 1.0 in k 1.375 * [taylor]: Taking taylor expansion of k in k 1.375 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.375 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.375 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.375 * [taylor]: Taking taylor expansion of 2.0 in k 1.375 * [taylor]: Taking taylor expansion of PI in k 1.376 * [taylor]: Taking taylor expansion of (log n) in k 1.376 * [taylor]: Taking taylor expansion of n in k 1.385 * [taylor]: Taking taylor expansion of 0 in k 1.401 * [taylor]: Taking taylor expansion of 0 in k 1.420 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.420 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.420 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.420 * [taylor]: Taking taylor expansion of 0.25 in k 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.420 * [taylor]: Taking taylor expansion of 1.0 in k 1.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.420 * [taylor]: Taking taylor expansion of k in k 1.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.420 * [taylor]: Taking taylor expansion of 2.0 in k 1.420 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.420 * [taylor]: Taking taylor expansion of PI in k 1.420 * [taylor]: Taking taylor expansion of n in k 1.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.421 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.421 * [taylor]: Taking taylor expansion of 0.25 in n 1.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.421 * [taylor]: Taking taylor expansion of 1.0 in n 1.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.421 * [taylor]: Taking taylor expansion of k in n 1.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.422 * [taylor]: Taking taylor expansion of 2.0 in n 1.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.422 * [taylor]: Taking taylor expansion of PI in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.425 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.425 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.425 * [taylor]: Taking taylor expansion of 0.25 in n 1.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.425 * [taylor]: Taking taylor expansion of 1.0 in n 1.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.425 * [taylor]: Taking taylor expansion of k in n 1.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.425 * [taylor]: Taking taylor expansion of 2.0 in n 1.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.429 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.429 * [taylor]: Taking taylor expansion of 0.25 in k 1.429 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.429 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.429 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.429 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.429 * [taylor]: Taking taylor expansion of 2.0 in k 1.429 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (log n) in k 1.430 * [taylor]: Taking taylor expansion of n in k 1.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.431 * [taylor]: Taking taylor expansion of 1.0 in k 1.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.431 * [taylor]: Taking taylor expansion of k in k 1.440 * [taylor]: Taking taylor expansion of 0 in k 1.447 * [taylor]: Taking taylor expansion of 0 in k 1.462 * [taylor]: Taking taylor expansion of 0 in k 1.463 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.463 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.463 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.463 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.463 * [taylor]: Taking taylor expansion of 0.25 in k 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.464 * [taylor]: Taking taylor expansion of 1.0 in k 1.464 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.464 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.464 * [taylor]: Taking taylor expansion of -2.0 in k 1.464 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.464 * [taylor]: Taking taylor expansion of PI in k 1.464 * [taylor]: Taking taylor expansion of n in k 1.465 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.465 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.465 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.465 * [taylor]: Taking taylor expansion of 0.25 in n 1.465 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.465 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.465 * [taylor]: Taking taylor expansion of k in n 1.465 * [taylor]: Taking taylor expansion of 1.0 in n 1.465 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.465 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.465 * [taylor]: Taking taylor expansion of -2.0 in n 1.465 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.468 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.469 * [taylor]: Taking taylor expansion of 0.25 in n 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.469 * [taylor]: Taking taylor expansion of k in n 1.469 * [taylor]: Taking taylor expansion of 1.0 in n 1.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.469 * [taylor]: Taking taylor expansion of -2.0 in n 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.472 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.472 * [taylor]: Taking taylor expansion of 0.25 in k 1.472 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.473 * [taylor]: Taking taylor expansion of k in k 1.473 * [taylor]: Taking taylor expansion of 1.0 in k 1.473 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.473 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.473 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.473 * [taylor]: Taking taylor expansion of -2.0 in k 1.473 * [taylor]: Taking taylor expansion of PI in k 1.474 * [taylor]: Taking taylor expansion of (log n) in k 1.474 * [taylor]: Taking taylor expansion of n in k 1.483 * [taylor]: Taking taylor expansion of 0 in k 1.490 * [taylor]: Taking taylor expansion of 0 in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.500 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.500 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.500 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.500 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.500 * [taylor]: Taking taylor expansion of 0.25 in k 1.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.501 * [taylor]: Taking taylor expansion of 1.0 in k 1.501 * [taylor]: Taking taylor expansion of k in k 1.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.501 * [taylor]: Taking taylor expansion of 2.0 in k 1.501 * [taylor]: Taking taylor expansion of (* n PI) in k 1.501 * [taylor]: Taking taylor expansion of n in k 1.501 * [taylor]: Taking taylor expansion of PI in k 1.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.502 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.502 * [taylor]: Taking taylor expansion of 0.25 in n 1.502 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.502 * [taylor]: Taking taylor expansion of k in n 1.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.502 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.502 * [taylor]: Taking taylor expansion of 2.0 in n 1.502 * [taylor]: Taking taylor expansion of (* n PI) in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.507 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.507 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.507 * [taylor]: Taking taylor expansion of 0.25 in n 1.507 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.507 * [taylor]: Taking taylor expansion of 1.0 in n 1.507 * [taylor]: Taking taylor expansion of k in n 1.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.507 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.507 * [taylor]: Taking taylor expansion of 2.0 in n 1.507 * [taylor]: Taking taylor expansion of (* n PI) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.513 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.513 * [taylor]: Taking taylor expansion of 0.25 in k 1.513 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.513 * [taylor]: Taking taylor expansion of 1.0 in k 1.513 * [taylor]: Taking taylor expansion of k in k 1.513 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.513 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.513 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.513 * [taylor]: Taking taylor expansion of 2.0 in k 1.513 * [taylor]: Taking taylor expansion of PI in k 1.514 * [taylor]: Taking taylor expansion of (log n) in k 1.514 * [taylor]: Taking taylor expansion of n in k 1.523 * [taylor]: Taking taylor expansion of 0 in k 1.539 * [taylor]: Taking taylor expansion of 0 in k 1.563 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.563 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.563 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.563 * [taylor]: Taking taylor expansion of 0.25 in k 1.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.563 * [taylor]: Taking taylor expansion of 1.0 in k 1.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.563 * [taylor]: Taking taylor expansion of k in k 1.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.563 * [taylor]: Taking taylor expansion of 2.0 in k 1.563 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.563 * [taylor]: Taking taylor expansion of PI in k 1.563 * [taylor]: Taking taylor expansion of n in k 1.564 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.565 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.565 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.565 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.565 * [taylor]: Taking taylor expansion of 0.25 in n 1.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.565 * [taylor]: Taking taylor expansion of 1.0 in n 1.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.565 * [taylor]: Taking taylor expansion of k in n 1.565 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.565 * [taylor]: Taking taylor expansion of 2.0 in n 1.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.565 * [taylor]: Taking taylor expansion of PI in n 1.565 * [taylor]: Taking taylor expansion of n in n 1.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.568 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.569 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.569 * [taylor]: Taking taylor expansion of 0.25 in n 1.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.569 * [taylor]: Taking taylor expansion of 1.0 in n 1.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.569 * [taylor]: Taking taylor expansion of k in n 1.569 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.569 * [taylor]: Taking taylor expansion of 2.0 in n 1.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.569 * [taylor]: Taking taylor expansion of PI in n 1.569 * [taylor]: Taking taylor expansion of n in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.573 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.573 * [taylor]: Taking taylor expansion of 0.25 in k 1.573 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.573 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.573 * [taylor]: Taking taylor expansion of 2.0 in k 1.573 * [taylor]: Taking taylor expansion of PI in k 1.574 * [taylor]: Taking taylor expansion of (log n) in k 1.574 * [taylor]: Taking taylor expansion of n in k 1.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.574 * [taylor]: Taking taylor expansion of 1.0 in k 1.574 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.574 * [taylor]: Taking taylor expansion of k in k 1.584 * [taylor]: Taking taylor expansion of 0 in k 1.591 * [taylor]: Taking taylor expansion of 0 in k 1.600 * [taylor]: Taking taylor expansion of 0 in k 1.601 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.601 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.601 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.601 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.601 * [taylor]: Taking taylor expansion of 0.25 in k 1.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.601 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.601 * [taylor]: Taking taylor expansion of k in k 1.602 * [taylor]: Taking taylor expansion of 1.0 in k 1.602 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.602 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.602 * [taylor]: Taking taylor expansion of -2.0 in k 1.602 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.602 * [taylor]: Taking taylor expansion of PI in k 1.602 * [taylor]: Taking taylor expansion of n in k 1.602 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.603 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.603 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.603 * [taylor]: Taking taylor expansion of 0.25 in n 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.603 * [taylor]: Taking taylor expansion of k in n 1.603 * [taylor]: Taking taylor expansion of 1.0 in n 1.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.603 * [taylor]: Taking taylor expansion of -2.0 in n 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.606 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.606 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.606 * [taylor]: Taking taylor expansion of 0.25 in n 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of -2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.610 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.610 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.610 * [taylor]: Taking taylor expansion of 0.25 in k 1.610 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.610 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.610 * [taylor]: Taking taylor expansion of k in k 1.611 * [taylor]: Taking taylor expansion of 1.0 in k 1.611 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.611 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.611 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.611 * [taylor]: Taking taylor expansion of -2.0 in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.612 * [taylor]: Taking taylor expansion of (log n) in k 1.612 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of 0 in k 1.627 * [taylor]: Taking taylor expansion of 0 in k 1.642 * [taylor]: Taking taylor expansion of 0 in k 1.643 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.644 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.644 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.644 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.644 * [taylor]: Taking taylor expansion of 0.25 in k 1.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.644 * [taylor]: Taking taylor expansion of 2.0 in k 1.644 * [taylor]: Taking taylor expansion of (* n PI) in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.644 * [taylor]: Taking taylor expansion of PI in k 1.645 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.645 * [taylor]: Taking taylor expansion of 0.25 in n 1.645 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [taylor]: Taking taylor expansion of k in n 1.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.645 * [taylor]: Taking taylor expansion of 2.0 in n 1.645 * [taylor]: Taking taylor expansion of (* n PI) in n 1.645 * [taylor]: Taking taylor expansion of n in n 1.645 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.651 * [taylor]: Taking taylor expansion of 0.25 in n 1.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of k in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (* n PI) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.658 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.658 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.658 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.658 * [taylor]: Taking taylor expansion of 0.25 in k 1.658 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.658 * [taylor]: Taking taylor expansion of 1.0 in k 1.658 * [taylor]: Taking taylor expansion of k in k 1.658 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.658 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.658 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.658 * [taylor]: Taking taylor expansion of 2.0 in k 1.658 * [taylor]: Taking taylor expansion of PI in k 1.659 * [taylor]: Taking taylor expansion of (log n) in k 1.659 * [taylor]: Taking taylor expansion of n in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.694 * [taylor]: Taking taylor expansion of 0 in k 1.734 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.734 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.734 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.734 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.734 * [taylor]: Taking taylor expansion of 0.25 in k 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.734 * [taylor]: Taking taylor expansion of 2.0 in k 1.734 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.734 * [taylor]: Taking taylor expansion of n in k 1.735 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.735 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.735 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.735 * [taylor]: Taking taylor expansion of 0.25 in n 1.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.735 * [taylor]: Taking taylor expansion of k in n 1.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.735 * [taylor]: Taking taylor expansion of 2.0 in n 1.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.735 * [taylor]: Taking taylor expansion of PI in n 1.736 * [taylor]: Taking taylor expansion of n in n 1.739 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.739 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.739 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.739 * [taylor]: Taking taylor expansion of 0.25 in n 1.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.739 * [taylor]: Taking taylor expansion of 1.0 in n 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.739 * [taylor]: Taking taylor expansion of k in n 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.739 * [taylor]: Taking taylor expansion of 2.0 in n 1.739 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.739 * [taylor]: Taking taylor expansion of PI in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.745 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.745 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.745 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.745 * [taylor]: Taking taylor expansion of 0.25 in k 1.745 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.745 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.745 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.745 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.745 * [taylor]: Taking taylor expansion of 2.0 in k 1.745 * [taylor]: Taking taylor expansion of PI in k 1.746 * [taylor]: Taking taylor expansion of (log n) in k 1.746 * [taylor]: Taking taylor expansion of n in k 1.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.746 * [taylor]: Taking taylor expansion of k in k 1.759 * [taylor]: Taking taylor expansion of 0 in k 1.770 * [taylor]: Taking taylor expansion of 0 in k 1.783 * [taylor]: Taking taylor expansion of 0 in k 1.784 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.784 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.785 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.785 * [taylor]: Taking taylor expansion of 0.25 in k 1.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.785 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.785 * [taylor]: Taking taylor expansion of -2.0 in k 1.785 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.785 * [taylor]: Taking taylor expansion of PI in k 1.785 * [taylor]: Taking taylor expansion of n in k 1.786 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.786 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.786 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.786 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.786 * [taylor]: Taking taylor expansion of 0.25 in n 1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.786 * [taylor]: Taking taylor expansion of k in n 1.786 * [taylor]: Taking taylor expansion of 1.0 in n 1.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.786 * [taylor]: Taking taylor expansion of -2.0 in n 1.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.786 * [taylor]: Taking taylor expansion of PI in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.790 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.790 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.790 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.790 * [taylor]: Taking taylor expansion of 0.25 in n 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.790 * [taylor]: Taking taylor expansion of k in n 1.790 * [taylor]: Taking taylor expansion of 1.0 in n 1.790 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.790 * [taylor]: Taking taylor expansion of -2.0 in n 1.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.790 * [taylor]: Taking taylor expansion of PI in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.795 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.795 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.795 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.795 * [taylor]: Taking taylor expansion of 0.25 in k 1.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.796 * [taylor]: Taking taylor expansion of k in k 1.796 * [taylor]: Taking taylor expansion of 1.0 in k 1.796 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.796 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.796 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.796 * [taylor]: Taking taylor expansion of -2.0 in k 1.796 * [taylor]: Taking taylor expansion of PI in k 1.797 * [taylor]: Taking taylor expansion of (log n) in k 1.797 * [taylor]: Taking taylor expansion of n in k 1.814 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [taylor]: Taking taylor expansion of 0 in k 1.836 * [taylor]: Taking taylor expansion of 0 in k 1.837 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.838 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.838 * [taylor]: Taking taylor expansion of 2.0 in n 1.838 * [taylor]: Taking taylor expansion of (* n PI) in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of PI in n 1.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.838 * [taylor]: Taking taylor expansion of 2.0 in n 1.838 * [taylor]: Taking taylor expansion of (* n PI) in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of PI in n 1.851 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.851 * [taylor]: Taking taylor expansion of 2.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.851 * [taylor]: Taking taylor expansion of PI in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.851 * [taylor]: Taking taylor expansion of 2.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.851 * [taylor]: Taking taylor expansion of PI in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.860 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.860 * [taylor]: Taking taylor expansion of -2.0 in n 1.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.860 * [taylor]: Taking taylor expansion of PI in n 1.860 * [taylor]: Taking taylor expansion of n in n 1.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.860 * [taylor]: Taking taylor expansion of -2.0 in n 1.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.860 * [taylor]: Taking taylor expansion of PI in n 1.860 * [taylor]: Taking taylor expansion of n in n 1.869 * * * [progress]: simplifying candidates 1.873 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 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)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 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)) (expm1 (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log1p (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2)) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 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) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 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)) (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)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) 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))) (+ (* (log (* (* 2.0 PI) 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)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (* (log (* (* 2.0 PI) 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))) (+ (* (log (* (* 2.0 PI) 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)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (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))) (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)))) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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))))) (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))) (* (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)) (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)))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 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) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 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))) (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)))) (* (sqrt (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))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1 1) (* (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) 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)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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)))) (* (sqrt (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))) (* (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)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* 2 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (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)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (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))) (* (sqrt (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))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 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)))) (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)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)))) (* 0.5 (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.886 * * [simplify]: iteration 0 : 899 enodes (cost 2444 ) 1.901 * * [simplify]: iteration 1 : 3720 enodes (cost 2245 ) 1.957 * * [simplify]: iteration 2 : 5002 enodes (cost 2200 ) 1.973 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) 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)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 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 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (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 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (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)) (* (* 2.0 PI) n) (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 (* (* 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)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) 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)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 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 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (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 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (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)) (* (* 2.0 PI) n) (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 (* (* 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)) (expm1 (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log1p (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) 2) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (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) (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) (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) (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) (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) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (* (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)) 1 (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)) (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))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (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 (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (fma (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (pow (* (* 2.0 PI) n) 0.25) 2)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (pow (pow (* (* 2.0 PI) n) 0.25) 2)))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.975 * * * [progress]: adding candidates to table 2.735 * * [progress]: iteration 3 / 4 2.735 * * * [progress]: picking best candidate 2.753 * * * * [pick]: Picked # 2.753 * * * [progress]: localizing error 2.772 * * * [progress]: generating rewritten candidates 2.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.787 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.791 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.800 * * * [progress]: generating series expansions 2.800 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.801 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.801 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.801 * [taylor]: Taking taylor expansion of 0.5 in k 2.801 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.801 * [taylor]: Taking taylor expansion of 1.0 in k 2.801 * [taylor]: Taking taylor expansion of k in k 2.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.801 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.802 * [taylor]: Taking taylor expansion of 2.0 in k 2.802 * [taylor]: Taking taylor expansion of (* n PI) in k 2.802 * [taylor]: Taking taylor expansion of n in k 2.802 * [taylor]: Taking taylor expansion of PI in k 2.803 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.803 * [taylor]: Taking taylor expansion of 0.5 in n 2.803 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of k in n 2.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.803 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.803 * [taylor]: Taking taylor expansion of 2.0 in n 2.803 * [taylor]: Taking taylor expansion of (* n PI) in n 2.803 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.809 * [taylor]: Taking taylor expansion of 0.5 in n 2.809 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of k in n 2.809 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.809 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.809 * [taylor]: Taking taylor expansion of 2.0 in n 2.809 * [taylor]: Taking taylor expansion of (* n PI) in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.814 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.814 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.814 * [taylor]: Taking taylor expansion of 0.5 in k 2.814 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.814 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.814 * [taylor]: Taking taylor expansion of 1.0 in k 2.814 * [taylor]: Taking taylor expansion of k in k 2.814 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.814 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.814 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.814 * [taylor]: Taking taylor expansion of 2.0 in k 2.814 * [taylor]: Taking taylor expansion of PI in k 2.815 * [taylor]: Taking taylor expansion of (log n) in k 2.815 * [taylor]: Taking taylor expansion of n in k 2.825 * [taylor]: Taking taylor expansion of 0 in k 2.841 * [taylor]: Taking taylor expansion of 0 in k 2.865 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.865 * [taylor]: Taking taylor expansion of 0.5 in k 2.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.865 * [taylor]: Taking taylor expansion of 1.0 in k 2.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.865 * [taylor]: Taking taylor expansion of k in k 2.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.866 * [taylor]: Taking taylor expansion of 2.0 in k 2.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.866 * [taylor]: Taking taylor expansion of PI in k 2.866 * [taylor]: Taking taylor expansion of n in k 2.867 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.867 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.867 * [taylor]: Taking taylor expansion of 0.5 in n 2.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.867 * [taylor]: Taking taylor expansion of 1.0 in n 2.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.867 * [taylor]: Taking taylor expansion of k in n 2.867 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.867 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.867 * [taylor]: Taking taylor expansion of 2.0 in n 2.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.867 * [taylor]: Taking taylor expansion of PI in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.871 * [taylor]: Taking taylor expansion of 0.5 in n 2.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.871 * [taylor]: Taking taylor expansion of 1.0 in n 2.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.871 * [taylor]: Taking taylor expansion of k in n 2.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.871 * [taylor]: Taking taylor expansion of 2.0 in n 2.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.871 * [taylor]: Taking taylor expansion of PI in n 2.871 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.875 * [taylor]: Taking taylor expansion of 0.5 in k 2.875 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.875 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.875 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.875 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.875 * [taylor]: Taking taylor expansion of 2.0 in k 2.875 * [taylor]: Taking taylor expansion of PI in k 2.876 * [taylor]: Taking taylor expansion of (log n) in k 2.876 * [taylor]: Taking taylor expansion of n in k 2.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.876 * [taylor]: Taking taylor expansion of 1.0 in k 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.876 * [taylor]: Taking taylor expansion of k in k 2.886 * [taylor]: Taking taylor expansion of 0 in k 2.893 * [taylor]: Taking taylor expansion of 0 in k 2.902 * [taylor]: Taking taylor expansion of 0 in k 2.904 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.904 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.904 * [taylor]: Taking taylor expansion of 0.5 in k 2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.904 * [taylor]: Taking taylor expansion of k in k 2.904 * [taylor]: Taking taylor expansion of 1.0 in k 2.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.904 * [taylor]: Taking taylor expansion of -2.0 in k 2.904 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.904 * [taylor]: Taking taylor expansion of PI in k 2.904 * [taylor]: Taking taylor expansion of n in k 2.905 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.905 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.905 * [taylor]: Taking taylor expansion of 0.5 in n 2.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.905 * [taylor]: Taking taylor expansion of k in n 2.905 * [taylor]: Taking taylor expansion of 1.0 in n 2.905 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.905 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.905 * [taylor]: Taking taylor expansion of -2.0 in n 2.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.905 * [taylor]: Taking taylor expansion of PI in n 2.905 * [taylor]: Taking taylor expansion of n in n 2.909 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.909 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.909 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.909 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.909 * [taylor]: Taking taylor expansion of 0.5 in n 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.909 * [taylor]: Taking taylor expansion of k in n 2.909 * [taylor]: Taking taylor expansion of 1.0 in n 2.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.909 * [taylor]: Taking taylor expansion of -2.0 in n 2.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.909 * [taylor]: Taking taylor expansion of PI in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.913 * [taylor]: Taking taylor expansion of 0.5 in k 2.913 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.913 * [taylor]: Taking taylor expansion of k in k 2.913 * [taylor]: Taking taylor expansion of 1.0 in k 2.913 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.913 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.913 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.913 * [taylor]: Taking taylor expansion of -2.0 in k 2.913 * [taylor]: Taking taylor expansion of PI in k 2.914 * [taylor]: Taking taylor expansion of (log n) in k 2.914 * [taylor]: Taking taylor expansion of n in k 2.923 * [taylor]: Taking taylor expansion of 0 in k 2.930 * [taylor]: Taking taylor expansion of 0 in k 2.945 * [taylor]: Taking taylor expansion of 0 in k 2.946 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.946 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.946 * [taylor]: Taking taylor expansion of 2.0 in n 2.946 * [taylor]: Taking taylor expansion of (* n PI) in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.946 * [taylor]: Taking taylor expansion of 2.0 in n 2.946 * [taylor]: Taking taylor expansion of (* n PI) in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.959 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.959 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.959 * [taylor]: Taking taylor expansion of 2.0 in n 2.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.959 * [taylor]: Taking taylor expansion of PI in n 2.959 * [taylor]: Taking taylor expansion of n in n 2.959 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.959 * [taylor]: Taking taylor expansion of 2.0 in n 2.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.959 * [taylor]: Taking taylor expansion of PI in n 2.959 * [taylor]: Taking taylor expansion of n in n 2.968 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.968 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.968 * [taylor]: Taking taylor expansion of -2.0 in n 2.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.968 * [taylor]: Taking taylor expansion of PI in n 2.968 * [taylor]: Taking taylor expansion of n in n 2.968 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.968 * [taylor]: Taking taylor expansion of -2.0 in n 2.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.968 * [taylor]: Taking taylor expansion of PI in n 2.968 * [taylor]: Taking taylor expansion of n in n 2.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.978 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.978 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.978 * [taylor]: Taking taylor expansion of 1.0 in k 2.978 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.978 * [taylor]: Taking taylor expansion of k in k 2.980 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.980 * [taylor]: Taking taylor expansion of 1.0 in k 2.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.980 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.980 * [taylor]: Taking taylor expansion of k in k 2.991 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.991 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.991 * [taylor]: Taking taylor expansion of 1.0 in k 2.991 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.991 * [taylor]: Taking taylor expansion of k in k 2.992 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.992 * [taylor]: Taking taylor expansion of 1.0 in k 2.992 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.992 * [taylor]: Taking taylor expansion of k in k 3.003 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.003 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.003 * [taylor]: Taking taylor expansion of 1.0 in k 3.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.003 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.003 * [taylor]: Taking taylor expansion of -1 in k 3.003 * [taylor]: Taking taylor expansion of k in k 3.004 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.004 * [taylor]: Taking taylor expansion of 1.0 in k 3.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.004 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.004 * [taylor]: Taking taylor expansion of -1 in k 3.004 * [taylor]: Taking taylor expansion of k in k 3.016 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.016 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.016 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.016 * [taylor]: Taking taylor expansion of 1.0 in k 3.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.016 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.016 * [taylor]: Taking taylor expansion of k in k 3.017 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.017 * [taylor]: Taking taylor expansion of 1.0 in k 3.017 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.017 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.017 * [taylor]: Taking taylor expansion of k in k 3.035 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.035 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.035 * [taylor]: Taking taylor expansion of 1.0 in k 3.035 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.035 * [taylor]: Taking taylor expansion of k in k 3.037 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.037 * [taylor]: Taking taylor expansion of 1.0 in k 3.037 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.037 * [taylor]: Taking taylor expansion of k in k 3.047 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.047 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.047 * [taylor]: Taking taylor expansion of 1.0 in k 3.047 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.047 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.047 * [taylor]: Taking taylor expansion of -1 in k 3.047 * [taylor]: Taking taylor expansion of k in k 3.049 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.049 * [taylor]: Taking taylor expansion of 1.0 in k 3.049 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.049 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.049 * [taylor]: Taking taylor expansion of -1 in k 3.049 * [taylor]: Taking taylor expansion of k in k 3.061 * * * [progress]: simplifying candidates 3.063 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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))))) 3.070 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 3.079 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 3.119 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 3.123 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 3.124 * * * [progress]: adding candidates to table 3.590 * * [progress]: iteration 4 / 4 3.590 * * * [progress]: picking best candidate 3.607 * * * * [pick]: Picked # 3.607 * * * [progress]: localizing error 3.630 * * * [progress]: generating rewritten candidates 3.630 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.644 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 3.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 3.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.668 * * * [progress]: generating series expansions 3.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.669 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.669 * [taylor]: Taking taylor expansion of 0.5 in k 3.669 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.669 * [taylor]: Taking taylor expansion of 1.0 in k 3.669 * [taylor]: Taking taylor expansion of k in k 3.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.669 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.669 * [taylor]: Taking taylor expansion of 2.0 in k 3.669 * [taylor]: Taking taylor expansion of (* n PI) in k 3.669 * [taylor]: Taking taylor expansion of n in k 3.669 * [taylor]: Taking taylor expansion of PI in k 3.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.670 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.670 * [taylor]: Taking taylor expansion of 0.5 in n 3.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.670 * [taylor]: Taking taylor expansion of 1.0 in n 3.670 * [taylor]: Taking taylor expansion of k in n 3.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.670 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.670 * [taylor]: Taking taylor expansion of 2.0 in n 3.670 * [taylor]: Taking taylor expansion of (* n PI) in n 3.670 * [taylor]: Taking taylor expansion of n in n 3.670 * [taylor]: Taking taylor expansion of PI in n 3.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.676 * [taylor]: Taking taylor expansion of 0.5 in n 3.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.676 * [taylor]: Taking taylor expansion of 1.0 in n 3.676 * [taylor]: Taking taylor expansion of k in n 3.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.676 * [taylor]: Taking taylor expansion of 2.0 in n 3.676 * [taylor]: Taking taylor expansion of (* n PI) in n 3.676 * [taylor]: Taking taylor expansion of n in n 3.676 * [taylor]: Taking taylor expansion of PI in n 3.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.682 * [taylor]: Taking taylor expansion of 0.5 in k 3.682 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.682 * [taylor]: Taking taylor expansion of 1.0 in k 3.682 * [taylor]: Taking taylor expansion of k in k 3.682 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.682 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.682 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.682 * [taylor]: Taking taylor expansion of 2.0 in k 3.682 * [taylor]: Taking taylor expansion of PI in k 3.683 * [taylor]: Taking taylor expansion of (log n) in k 3.683 * [taylor]: Taking taylor expansion of n in k 3.692 * [taylor]: Taking taylor expansion of 0 in k 3.708 * [taylor]: Taking taylor expansion of 0 in k 3.734 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.734 * [taylor]: Taking taylor expansion of 0.5 in k 3.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.734 * [taylor]: Taking taylor expansion of 1.0 in k 3.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.734 * [taylor]: Taking taylor expansion of k in k 3.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.735 * [taylor]: Taking taylor expansion of 2.0 in k 3.735 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.735 * [taylor]: Taking taylor expansion of PI in k 3.735 * [taylor]: Taking taylor expansion of n in k 3.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.736 * [taylor]: Taking taylor expansion of 0.5 in n 3.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.736 * [taylor]: Taking taylor expansion of 1.0 in n 3.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.736 * [taylor]: Taking taylor expansion of k in n 3.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.736 * [taylor]: Taking taylor expansion of 2.0 in n 3.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.736 * [taylor]: Taking taylor expansion of PI in n 3.736 * [taylor]: Taking taylor expansion of n in n 3.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.740 * [taylor]: Taking taylor expansion of 0.5 in n 3.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.740 * [taylor]: Taking taylor expansion of 1.0 in n 3.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.740 * [taylor]: Taking taylor expansion of k in n 3.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.740 * [taylor]: Taking taylor expansion of 2.0 in n 3.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.740 * [taylor]: Taking taylor expansion of PI in n 3.740 * [taylor]: Taking taylor expansion of n in n 3.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.744 * [taylor]: Taking taylor expansion of 0.5 in k 3.744 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.744 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.744 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.744 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.744 * [taylor]: Taking taylor expansion of 2.0 in k 3.744 * [taylor]: Taking taylor expansion of PI in k 3.745 * [taylor]: Taking taylor expansion of (log n) in k 3.745 * [taylor]: Taking taylor expansion of n in k 3.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.745 * [taylor]: Taking taylor expansion of 1.0 in k 3.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.745 * [taylor]: Taking taylor expansion of k in k 3.755 * [taylor]: Taking taylor expansion of 0 in k 3.762 * [taylor]: Taking taylor expansion of 0 in k 3.771 * [taylor]: Taking taylor expansion of 0 in k 3.772 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.772 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.773 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.773 * [taylor]: Taking taylor expansion of 0.5 in k 3.773 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.773 * [taylor]: Taking taylor expansion of k in k 3.773 * [taylor]: Taking taylor expansion of 1.0 in k 3.773 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.773 * [taylor]: Taking taylor expansion of -2.0 in k 3.773 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.773 * [taylor]: Taking taylor expansion of PI in k 3.773 * [taylor]: Taking taylor expansion of n in k 3.774 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.774 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.774 * [taylor]: Taking taylor expansion of 0.5 in n 3.774 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.774 * [taylor]: Taking taylor expansion of k in n 3.774 * [taylor]: Taking taylor expansion of 1.0 in n 3.774 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.774 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.774 * [taylor]: Taking taylor expansion of -2.0 in n 3.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.774 * [taylor]: Taking taylor expansion of PI in n 3.774 * [taylor]: Taking taylor expansion of n in n 3.778 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.778 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.778 * [taylor]: Taking taylor expansion of 0.5 in n 3.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.778 * [taylor]: Taking taylor expansion of k in n 3.778 * [taylor]: Taking taylor expansion of 1.0 in n 3.778 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.778 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.778 * [taylor]: Taking taylor expansion of -2.0 in n 3.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.778 * [taylor]: Taking taylor expansion of PI in n 3.778 * [taylor]: Taking taylor expansion of n in n 3.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.782 * [taylor]: Taking taylor expansion of 0.5 in k 3.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.782 * [taylor]: Taking taylor expansion of k in k 3.782 * [taylor]: Taking taylor expansion of 1.0 in k 3.782 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.782 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.782 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.782 * [taylor]: Taking taylor expansion of -2.0 in k 3.782 * [taylor]: Taking taylor expansion of PI in k 3.783 * [taylor]: Taking taylor expansion of (log n) in k 3.783 * [taylor]: Taking taylor expansion of n in k 3.792 * [taylor]: Taking taylor expansion of 0 in k 3.799 * [taylor]: Taking taylor expansion of 0 in k 3.808 * [taylor]: Taking taylor expansion of 0 in k 3.809 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 3.809 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.809 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.809 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.809 * [taylor]: Taking taylor expansion of 1/3 in k 3.809 * [taylor]: Taking taylor expansion of (log k) in k 3.809 * [taylor]: Taking taylor expansion of k in k 3.810 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.810 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.810 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.810 * [taylor]: Taking taylor expansion of 1/3 in k 3.810 * [taylor]: Taking taylor expansion of (log k) in k 3.810 * [taylor]: Taking taylor expansion of k in k 3.864 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.864 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.864 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.864 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.864 * [taylor]: Taking taylor expansion of 1/3 in k 3.864 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.864 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.864 * [taylor]: Taking taylor expansion of k in k 3.865 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.865 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.865 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.865 * [taylor]: Taking taylor expansion of 1/3 in k 3.865 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.865 * [taylor]: Taking taylor expansion of k in k 3.922 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.922 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.922 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.922 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.922 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.922 * [taylor]: Taking taylor expansion of 1/3 in k 3.922 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.923 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.923 * [taylor]: Taking taylor expansion of -1 in k 3.924 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.924 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.924 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.924 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.924 * [taylor]: Taking taylor expansion of 1/3 in k 3.924 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.924 * [taylor]: Taking taylor expansion of k in k 3.925 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.925 * [taylor]: Taking taylor expansion of -1 in k 3.992 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 3.992 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.992 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.992 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.992 * [taylor]: Taking taylor expansion of 1/3 in k 3.992 * [taylor]: Taking taylor expansion of (log k) in k 3.992 * [taylor]: Taking taylor expansion of k in k 3.992 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.992 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.993 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.993 * [taylor]: Taking taylor expansion of 1/3 in k 3.993 * [taylor]: Taking taylor expansion of (log k) in k 3.993 * [taylor]: Taking taylor expansion of k in k 4.040 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 4.040 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.040 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.040 * [taylor]: Taking taylor expansion of 1/3 in k 4.040 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.040 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.040 * [taylor]: Taking taylor expansion of k in k 4.041 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.041 * [taylor]: Taking taylor expansion of 1/3 in k 4.041 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.041 * [taylor]: Taking taylor expansion of k in k 4.098 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.098 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.098 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.098 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.098 * [taylor]: Taking taylor expansion of 1/3 in k 4.098 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.098 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.098 * [taylor]: Taking taylor expansion of k in k 4.099 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.099 * [taylor]: Taking taylor expansion of -1 in k 4.099 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.099 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.100 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.100 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.100 * [taylor]: Taking taylor expansion of 1/3 in k 4.100 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.100 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.100 * [taylor]: Taking taylor expansion of k in k 4.100 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.100 * [taylor]: Taking taylor expansion of -1 in k 4.166 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 4.166 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 4.166 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 4.166 * [taylor]: Taking taylor expansion of 1.0 in k 4.166 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 4.166 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 4.167 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 4.167 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.167 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.167 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.167 * [taylor]: Taking taylor expansion of 1/6 in k 4.167 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.167 * [taylor]: Taking taylor expansion of k in k 4.168 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 4.168 * [taylor]: Taking taylor expansion of 1.0 in k 4.168 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 4.168 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 4.168 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 4.168 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.168 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.168 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.168 * [taylor]: Taking taylor expansion of 1/6 in k 4.168 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.168 * [taylor]: Taking taylor expansion of k in k 4.239 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in (k) around 0 4.239 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.239 * [taylor]: Taking taylor expansion of 1.0 in k 4.239 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.239 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.239 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.239 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.239 * [taylor]: Taking taylor expansion of 1/6 in k 4.239 * [taylor]: Taking taylor expansion of (log k) in k 4.239 * [taylor]: Taking taylor expansion of k in k 4.239 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.239 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.240 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.240 * [taylor]: Taking taylor expansion of 1.0 in k 4.240 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.240 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.240 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.240 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.240 * [taylor]: Taking taylor expansion of 1/6 in k 4.240 * [taylor]: Taking taylor expansion of (log k) in k 4.240 * [taylor]: Taking taylor expansion of k in k 4.240 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.240 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.308 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 4.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.308 * [taylor]: Taking taylor expansion of 1.0 in k 4.308 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.308 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.308 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.309 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.309 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.309 * [taylor]: Taking taylor expansion of -1 in k 4.313 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.313 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.313 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.313 * [taylor]: Taking taylor expansion of 1/6 in k 4.313 * [taylor]: Taking taylor expansion of (log k) in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.313 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.313 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.314 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.314 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.314 * [taylor]: Taking taylor expansion of -1 in k 4.318 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.318 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.318 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.318 * [taylor]: Taking taylor expansion of 1/6 in k 4.318 * [taylor]: Taking taylor expansion of (log k) in k 4.318 * [taylor]: Taking taylor expansion of k in k 4.436 * * * [progress]: simplifying candidates 4.440 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (cbrt k)) (log1p (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)) (expm1 (cbrt k)) (log1p (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)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (- (log 1.0) (log (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (/ (* (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) 1) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) 1) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) 1) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (cbrt 1))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) (sqrt 1)) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) 1) 1) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) 1) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 1) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1 1) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 1) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 1) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1 1) 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1 1) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (sqrt (cbrt 1))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 1) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) 1) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (- (+ (* 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)))))) (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 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (pow (/ 1 k) 1/6) (/ 1 (fabs (pow k 1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 4.457 * * [simplify]: iteration 0 : 929 enodes (cost 2689 ) 4.472 * * [simplify]: iteration 1 : 3525 enodes (cost 2585 ) 4.517 * * [simplify]: iteration 2 : 5001 enodes (cost 2527 ) 4.527 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 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)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (/ (fabs (cbrt (cbrt k))) (cbrt (/ 1.0 (fabs (cbrt k)))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (fabs (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (sqrt (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (fabs (cbrt (cbrt k))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (cbrt (* (cbrt k) (cbrt k)))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (cbrt (sqrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (cbrt 1.0) (/ (sqrt (sqrt (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (cbrt 1.0) (/ (sqrt (sqrt (cbrt k))) (cbrt 1.0))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt 1.0) (* (fabs (cbrt (cbrt k))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt 1.0) (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (/ (/ (sqrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (cbrt (sqrt (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (* (fabs (cbrt (cbrt k))) 1)) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k)))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 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)))) 4.529 * * * [progress]: adding candidates to table 5.468 * [progress]: [Phase 3 of 3] Extracting. 5.468 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.472 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.472 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.511 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.549 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.589 * * * [regime]: Found split indices: #