11.173 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.134 * * * [progress]: [2/2] Setting up program. 0.136 * [progress]: [Phase 2 of 3] Improving. 0.137 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.139 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.141 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.143 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.145 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.151 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.174 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.174 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.174 * * [progress]: iteration 1 / 4 0.174 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.208 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.230 * * * [progress]: generating series expansions 0.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.230 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.230 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.230 * [taylor]: Taking taylor expansion of 1.0 in k 0.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.230 * [taylor]: Taking taylor expansion of k in k 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.232 * [taylor]: Taking taylor expansion of 1.0 in k 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.232 * [taylor]: Taking taylor expansion of k in k 0.243 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.243 * [taylor]: Taking taylor expansion of 1.0 in k 0.243 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.243 * [taylor]: Taking taylor expansion of k in k 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.244 * [taylor]: Taking taylor expansion of 1.0 in k 0.244 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.244 * [taylor]: Taking taylor expansion of k in k 0.254 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.254 * [taylor]: Taking taylor expansion of -1 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.256 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.256 * [taylor]: Taking taylor expansion of -1 in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.268 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.268 * [taylor]: Taking taylor expansion of 0.5 in k 0.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.268 * [taylor]: Taking taylor expansion of 1.0 in k 0.268 * [taylor]: Taking taylor expansion of k in k 0.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.268 * [taylor]: Taking taylor expansion of 2.0 in k 0.268 * [taylor]: Taking taylor expansion of (* n PI) in k 0.268 * [taylor]: Taking taylor expansion of n in k 0.268 * [taylor]: Taking taylor expansion of PI in k 0.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.270 * [taylor]: Taking taylor expansion of 0.5 in n 0.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.270 * [taylor]: Taking taylor expansion of 1.0 in n 0.270 * [taylor]: Taking taylor expansion of k in n 0.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.275 * [taylor]: Taking taylor expansion of 0.5 in n 0.275 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.275 * [taylor]: Taking taylor expansion of 1.0 in n 0.275 * [taylor]: Taking taylor expansion of k in n 0.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.275 * [taylor]: Taking taylor expansion of 2.0 in n 0.275 * [taylor]: Taking taylor expansion of (* n PI) in n 0.275 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.281 * [taylor]: Taking taylor expansion of 0.5 in k 0.281 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.281 * [taylor]: Taking taylor expansion of 2.0 in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.282 * [taylor]: Taking taylor expansion of (log n) in k 0.282 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of 0 in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.330 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.330 * [taylor]: Taking taylor expansion of 0.5 in k 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.331 * [taylor]: Taking taylor expansion of 2.0 in k 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.331 * [taylor]: Taking taylor expansion of PI in k 0.331 * [taylor]: Taking taylor expansion of n in k 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.336 * [taylor]: Taking taylor expansion of 0.5 in n 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.336 * [taylor]: Taking taylor expansion of k in n 0.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.336 * [taylor]: Taking taylor expansion of 2.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.340 * [taylor]: Taking taylor expansion of 0.5 in k 0.340 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.340 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.340 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.340 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.340 * [taylor]: Taking taylor expansion of 2.0 in k 0.340 * [taylor]: Taking taylor expansion of PI in k 0.341 * [taylor]: Taking taylor expansion of (log n) in k 0.341 * [taylor]: Taking taylor expansion of n in k 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.341 * [taylor]: Taking taylor expansion of 1.0 in k 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.341 * [taylor]: Taking taylor expansion of k in k 0.350 * [taylor]: Taking taylor expansion of 0 in k 0.357 * [taylor]: Taking taylor expansion of 0 in k 0.366 * [taylor]: Taking taylor expansion of 0 in k 0.368 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.368 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.368 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.368 * [taylor]: Taking taylor expansion of 0.5 in k 0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.368 * [taylor]: Taking taylor expansion of k in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.368 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.368 * [taylor]: Taking taylor expansion of -2.0 in k 0.368 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.368 * [taylor]: Taking taylor expansion of PI in k 0.368 * [taylor]: Taking taylor expansion of n in k 0.369 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.369 * [taylor]: Taking taylor expansion of 0.5 in n 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.369 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.369 * [taylor]: Taking taylor expansion of k in n 0.369 * [taylor]: Taking taylor expansion of 1.0 in n 0.369 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.369 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.369 * [taylor]: Taking taylor expansion of -2.0 in n 0.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.369 * [taylor]: Taking taylor expansion of PI in n 0.369 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.373 * [taylor]: Taking taylor expansion of 0.5 in n 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.373 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.373 * [taylor]: Taking taylor expansion of k in n 0.373 * [taylor]: Taking taylor expansion of 1.0 in n 0.373 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.373 * [taylor]: Taking taylor expansion of -2.0 in n 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.373 * [taylor]: Taking taylor expansion of PI in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.377 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.377 * [taylor]: Taking taylor expansion of 0.5 in k 0.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.377 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.377 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.377 * [taylor]: Taking taylor expansion of -2.0 in k 0.377 * [taylor]: Taking taylor expansion of PI in k 0.378 * [taylor]: Taking taylor expansion of (log n) in k 0.378 * [taylor]: Taking taylor expansion of n in k 0.387 * [taylor]: Taking taylor expansion of 0 in k 0.394 * [taylor]: Taking taylor expansion of 0 in k 0.409 * [taylor]: Taking taylor expansion of 0 in k 0.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.410 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.410 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (* n PI) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.410 * [taylor]: Taking taylor expansion of 2.0 in n 0.410 * [taylor]: Taking taylor expansion of (* n PI) in n 0.410 * [taylor]: Taking taylor expansion of n in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.422 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.422 * [taylor]: Taking taylor expansion of n in n 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.422 * [taylor]: Taking taylor expansion of 2.0 in n 0.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.423 * [taylor]: Taking taylor expansion of n in n 0.431 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.431 * [taylor]: Taking taylor expansion of -2.0 in n 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.432 * [taylor]: Taking taylor expansion of -2.0 in n 0.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.440 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.440 * [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 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.441 * [taylor]: Taking taylor expansion of k in n 0.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.441 * [taylor]: Taking taylor expansion of 0.5 in n 0.441 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.441 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of k in n 0.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.441 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [taylor]: Taking taylor expansion of (* n PI) in n 0.441 * [taylor]: Taking taylor expansion of n in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.446 * [taylor]: Taking taylor expansion of 1.0 in k 0.446 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.448 * [taylor]: Taking taylor expansion of 0.5 in k 0.448 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.448 * [taylor]: Taking taylor expansion of 2.0 in k 0.448 * [taylor]: Taking taylor expansion of (* n PI) in k 0.448 * [taylor]: Taking taylor expansion of n in k 0.448 * [taylor]: Taking taylor expansion of PI in k 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.450 * [taylor]: Taking taylor expansion of 0.5 in k 0.450 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.450 * [taylor]: Taking taylor expansion of 2.0 in k 0.450 * [taylor]: Taking taylor expansion of (* n PI) in k 0.450 * [taylor]: Taking taylor expansion of n in k 0.450 * [taylor]: Taking taylor expansion of PI in k 0.451 * [taylor]: Taking taylor expansion of 0 in n 0.457 * [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 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of +nan.0 in n 0.457 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.457 * [taylor]: Taking taylor expansion of 0.5 in n 0.457 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.457 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.457 * [taylor]: Taking taylor expansion of 1.0 in n 0.457 * [taylor]: Taking taylor expansion of (log PI) in n 0.457 * [taylor]: Taking taylor expansion of PI in n 0.459 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (log n) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [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 0.479 * [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 0.479 * [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 0.479 * [taylor]: Taking taylor expansion of +nan.0 in n 0.479 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.479 * [taylor]: Taking taylor expansion of 0.5 in n 0.479 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log PI) in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.481 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log n) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [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 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of +nan.0 in n 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.495 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.495 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.495 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.495 * [taylor]: Taking taylor expansion of 1.0 in n 0.495 * [taylor]: Taking taylor expansion of (log PI) in n 0.495 * [taylor]: Taking taylor expansion of PI 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 0.497 * [taylor]: Taking taylor expansion of n in n 0.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.501 * [taylor]: Taking taylor expansion of 2.0 in n 0.501 * [taylor]: Taking taylor expansion of (* n PI) in n 0.501 * [taylor]: Taking taylor expansion of n in n 0.501 * [taylor]: Taking taylor expansion of PI in n 0.549 * [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 0.550 * [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 0.550 * [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 0.550 * [taylor]: Taking taylor expansion of +nan.0 in n 0.550 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.550 * [taylor]: Taking taylor expansion of 0.5 in n 0.550 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.550 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.550 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.550 * [taylor]: Taking taylor expansion of 1.0 in n 0.550 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.550 * [taylor]: Taking taylor expansion of 2.0 in n 0.552 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.552 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of (log n) in n 0.552 * [taylor]: Taking taylor expansion of n in n 0.552 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of (log PI) in n 0.552 * [taylor]: Taking taylor expansion of PI in n 0.558 * [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 0.558 * [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 0.558 * [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 0.558 * [taylor]: Taking taylor expansion of +nan.0 in n 0.558 * [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 0.558 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.558 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.558 * [taylor]: Taking taylor expansion of 0.5 in n 0.558 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.558 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.558 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.558 * [taylor]: Taking taylor expansion of 2.0 in n 0.560 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.560 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.560 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.560 * [taylor]: Taking taylor expansion of 1.0 in n 0.560 * [taylor]: Taking taylor expansion of (log PI) in n 0.560 * [taylor]: Taking taylor expansion of PI in n 0.562 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log n) in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [taylor]: Taking taylor expansion of (* n PI) in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.569 * [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 0.569 * [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 0.569 * [taylor]: Taking taylor expansion of +nan.0 in n 0.569 * [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 0.569 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.569 * [taylor]: Taking taylor expansion of 0.5 in n 0.569 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.569 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.569 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.569 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.571 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log PI) in n 0.571 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log n) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.657 * [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 0.657 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.657 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.657 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.657 * [taylor]: Taking taylor expansion of 0.5 in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.657 * [taylor]: Taking taylor expansion of PI in n 0.657 * [taylor]: Taking taylor expansion of n in n 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.666 * [taylor]: Taking taylor expansion of 1.0 in k 0.666 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.666 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.667 * [taylor]: Taking taylor expansion of 0.5 in k 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.667 * [taylor]: Taking taylor expansion of 1.0 in k 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.667 * [taylor]: Taking taylor expansion of 2.0 in k 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.667 * [taylor]: Taking taylor expansion of PI in k 0.667 * [taylor]: Taking taylor expansion of n in k 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.668 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.668 * [taylor]: Taking taylor expansion of k in k 0.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.669 * [taylor]: Taking taylor expansion of 0.5 in k 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.670 * [taylor]: Taking taylor expansion of 2.0 in k 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.670 * [taylor]: Taking taylor expansion of PI in k 0.670 * [taylor]: Taking taylor expansion of n in k 0.671 * [taylor]: Taking taylor expansion of 0 in n 0.672 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.672 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.672 * [taylor]: Taking taylor expansion of +nan.0 in n 0.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.672 * [taylor]: Taking taylor expansion of 0.5 in n 0.672 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.672 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.672 * [taylor]: Taking taylor expansion of 2.0 in n 0.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.672 * [taylor]: Taking taylor expansion of PI in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.674 * [taylor]: Taking taylor expansion of 1.0 in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.674 * [taylor]: Taking taylor expansion of k in n 0.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.682 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.682 * [taylor]: Taking taylor expansion of +nan.0 in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.682 * [taylor]: Taking taylor expansion of 2.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.700 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.700 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.700 * [taylor]: Taking taylor expansion of +nan.0 in n 0.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.700 * [taylor]: Taking taylor expansion of 0.5 in n 0.700 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.700 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.700 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.700 * [taylor]: Taking taylor expansion of 2.0 in n 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.701 * [taylor]: Taking taylor expansion of 1.0 in n 0.701 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.701 * [taylor]: Taking taylor expansion of k in n 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.710 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.710 * [taylor]: Taking taylor expansion of 0.5 in n 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.710 * [taylor]: Taking taylor expansion of -2.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.714 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.714 * [taylor]: Taking taylor expansion of -1 in n 0.714 * [taylor]: Taking taylor expansion of k in n 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.715 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.715 * [taylor]: Taking taylor expansion of 0.5 in k 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.715 * [taylor]: Taking taylor expansion of -2.0 in k 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.715 * [taylor]: Taking taylor expansion of PI in k 0.715 * [taylor]: Taking taylor expansion of n in k 0.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.716 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.716 * [taylor]: Taking taylor expansion of -1 in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.718 * [taylor]: Taking taylor expansion of 1.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.718 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.718 * [taylor]: Taking taylor expansion of 0.5 in k 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of 1.0 in k 0.718 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.718 * [taylor]: Taking taylor expansion of -2.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.718 * [taylor]: Taking taylor expansion of PI in k 0.718 * [taylor]: Taking taylor expansion of n in k 0.719 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.719 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.719 * [taylor]: Taking taylor expansion of -1 in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.720 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.720 * [taylor]: Taking taylor expansion of +nan.0 in n 0.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.720 * [taylor]: Taking taylor expansion of 0.5 in n 0.720 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of -2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.729 * [taylor]: Taking taylor expansion of +nan.0 in n 0.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.730 * [taylor]: Taking taylor expansion of 0.5 in n 0.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.730 * [taylor]: Taking taylor expansion of k in n 0.730 * [taylor]: Taking taylor expansion of 1.0 in n 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.730 * [taylor]: Taking taylor expansion of -2.0 in n 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.748 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.748 * [taylor]: Taking taylor expansion of +nan.0 in n 0.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.748 * [taylor]: Taking taylor expansion of 0.5 in n 0.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.748 * [taylor]: Taking taylor expansion of k in n 0.748 * [taylor]: Taking taylor expansion of 1.0 in n 0.748 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.748 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.748 * [taylor]: Taking taylor expansion of -2.0 in n 0.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.748 * [taylor]: Taking taylor expansion of PI in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.762 * * * [progress]: simplifying candidates 0.765 * [simplify]: Simplifying using # : (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 (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)) (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))) (- (+ (* +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))))) (- (+ (* 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 (* (* (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)))))))))))) 0.775 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.793 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 0.857 * * [simplify]: iteration 2 : 5001 enodes (cost 1383 ) 0.865 * [simplify]: Simplified to: (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 (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)) (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 (- 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 (- 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 (- (* +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))))))))) 0.866 * * * [progress]: adding candidates to table 1.266 * * [progress]: iteration 2 / 4 1.266 * * * [progress]: picking best candidate 1.302 * * * * [pick]: Picked # 1.302 * * * [progress]: localizing error 1.320 * * * [progress]: generating rewritten candidates 1.320 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.325 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.341 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.354 * * * [progress]: generating series expansions 1.354 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.354 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.354 * [taylor]: Taking taylor expansion of 2.0 in n 1.354 * [taylor]: Taking taylor expansion of (* n PI) in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.354 * [taylor]: Taking taylor expansion of PI in n 1.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.354 * [taylor]: Taking taylor expansion of 2.0 in n 1.354 * [taylor]: Taking taylor expansion of (* n PI) in n 1.354 * [taylor]: Taking taylor expansion of n in n 1.354 * [taylor]: Taking taylor expansion of PI in n 1.367 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.367 * [taylor]: Taking taylor expansion of 2.0 in n 1.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.367 * [taylor]: Taking taylor expansion of PI in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.367 * [taylor]: Taking taylor expansion of 2.0 in n 1.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.367 * [taylor]: Taking taylor expansion of PI in n 1.367 * [taylor]: Taking taylor expansion of n in n 1.381 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.381 * [taylor]: Taking taylor expansion of -2.0 in n 1.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.381 * [taylor]: Taking taylor expansion of PI in n 1.381 * [taylor]: Taking taylor expansion of n in n 1.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.381 * [taylor]: Taking taylor expansion of -2.0 in n 1.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.381 * [taylor]: Taking taylor expansion of PI in n 1.381 * [taylor]: Taking taylor expansion of n in n 1.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.390 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.390 * [taylor]: Taking taylor expansion of 2.0 in n 1.390 * [taylor]: Taking taylor expansion of (* n PI) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.390 * [taylor]: Taking taylor expansion of 2.0 in n 1.390 * [taylor]: Taking taylor expansion of (* n PI) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.402 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.402 * [taylor]: Taking taylor expansion of 2.0 in n 1.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.403 * [taylor]: Taking taylor expansion of 2.0 in n 1.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.403 * [taylor]: Taking taylor expansion of PI in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.411 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of -2.0 in n 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.412 * [taylor]: Taking taylor expansion of -2.0 in n 1.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.412 * [taylor]: Taking taylor expansion of PI in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.420 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.421 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.421 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.421 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.423 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.423 * [taylor]: Taking taylor expansion of 0.5 in k 1.423 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.423 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.423 * [taylor]: Taking taylor expansion of 1.0 in k 1.423 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.423 * [taylor]: Taking taylor expansion of 2.0 in k 1.424 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (log n) in k 1.425 * [taylor]: Taking taylor expansion of n in k 1.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (log PI) in k 1.425 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.430 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.430 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.430 * [taylor]: Taking taylor expansion of 0.5 in k 1.430 * [taylor]: Taking taylor expansion of k in k 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.430 * [taylor]: Taking taylor expansion of 2.0 in k 1.430 * [taylor]: Taking taylor expansion of (* n PI) in k 1.431 * [taylor]: Taking taylor expansion of n in k 1.431 * [taylor]: Taking taylor expansion of PI in k 1.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.433 * [taylor]: Taking taylor expansion of 1.0 in n 1.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.433 * [taylor]: Taking taylor expansion of k in n 1.434 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.434 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.434 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.434 * [taylor]: Taking taylor expansion of 0.5 in n 1.434 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.434 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.434 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.434 * [taylor]: Taking taylor expansion of 2.0 in n 1.436 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log n) in n 1.436 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log PI) in n 1.436 * [taylor]: Taking taylor expansion of PI in n 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.442 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.442 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.442 * [taylor]: Taking taylor expansion of 0.5 in n 1.442 * [taylor]: Taking taylor expansion of k in n 1.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.442 * [taylor]: Taking taylor expansion of 2.0 in n 1.442 * [taylor]: Taking taylor expansion of (* n PI) in n 1.442 * [taylor]: Taking taylor expansion of n in n 1.442 * [taylor]: Taking taylor expansion of PI in n 1.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.448 * [taylor]: Taking taylor expansion of 1.0 in n 1.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.448 * [taylor]: Taking taylor expansion of k in n 1.448 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.448 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.448 * [taylor]: Taking taylor expansion of 0.5 in n 1.448 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.448 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.448 * [taylor]: Taking taylor expansion of 1.0 in n 1.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.448 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.450 * [taylor]: Taking taylor expansion of 1.0 in n 1.450 * [taylor]: Taking taylor expansion of (log n) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.451 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.451 * [taylor]: Taking taylor expansion of 1.0 in n 1.451 * [taylor]: Taking taylor expansion of (log PI) in n 1.451 * [taylor]: Taking taylor expansion of PI in n 1.456 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.456 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.456 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.456 * [taylor]: Taking taylor expansion of 0.5 in n 1.456 * [taylor]: Taking taylor expansion of k in n 1.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.456 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.456 * [taylor]: Taking taylor expansion of 2.0 in n 1.456 * [taylor]: Taking taylor expansion of (* n PI) in n 1.456 * [taylor]: Taking taylor expansion of n in n 1.456 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.472 * [taylor]: Taking taylor expansion of 1.0 in k 1.472 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.472 * [taylor]: Taking taylor expansion of k in k 1.474 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.474 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.474 * [taylor]: Taking taylor expansion of 0.5 in k 1.474 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.474 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of (log PI) in k 1.474 * [taylor]: Taking taylor expansion of PI in k 1.476 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (log n) in k 1.476 * [taylor]: Taking taylor expansion of n in k 1.476 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.476 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.476 * [taylor]: Taking taylor expansion of 2.0 in k 1.481 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.482 * [taylor]: Taking taylor expansion of 0.5 in k 1.482 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.482 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.482 * [taylor]: Taking taylor expansion of 2.0 in k 1.482 * [taylor]: Taking taylor expansion of PI in k 1.483 * [taylor]: Taking taylor expansion of (log n) in k 1.483 * [taylor]: Taking taylor expansion of n in k 1.512 * [taylor]: Taking taylor expansion of 0 in k 1.569 * [taylor]: Taking taylor expansion of 0 in k 1.668 * [taylor]: Taking taylor expansion of 0 in k 1.784 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.784 * [taylor]: Taking taylor expansion of 1.0 in k 1.784 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.784 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.784 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.785 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.785 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.785 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.785 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.785 * [taylor]: Taking taylor expansion of 2.0 in k 1.787 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log PI) in k 1.787 * [taylor]: Taking taylor expansion of PI in k 1.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (log n) in k 1.789 * [taylor]: Taking taylor expansion of n in k 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.795 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.795 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.795 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.795 * [taylor]: Taking taylor expansion of 0.5 in k 1.795 * [taylor]: Taking taylor expansion of k in k 1.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.796 * [taylor]: Taking taylor expansion of 2.0 in k 1.796 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.796 * [taylor]: Taking taylor expansion of PI in k 1.796 * [taylor]: Taking taylor expansion of n in k 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.796 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.796 * [taylor]: Taking taylor expansion of k in n 1.797 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.797 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.797 * [taylor]: Taking taylor expansion of 0.5 in n 1.797 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.797 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.797 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.797 * [taylor]: Taking taylor expansion of 2.0 in n 1.799 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of (log PI) in n 1.799 * [taylor]: Taking taylor expansion of PI in n 1.800 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.800 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.800 * [taylor]: Taking taylor expansion of 1.0 in n 1.800 * [taylor]: Taking taylor expansion of (log n) in n 1.800 * [taylor]: Taking taylor expansion of n in n 1.812 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.812 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.812 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.812 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.813 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.813 * [taylor]: Taking taylor expansion of 0.5 in n 1.813 * [taylor]: Taking taylor expansion of k in n 1.813 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.813 * [taylor]: Taking taylor expansion of 2.0 in n 1.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.813 * [taylor]: Taking taylor expansion of PI in n 1.813 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.817 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.817 * [taylor]: Taking taylor expansion of k in n 1.817 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.817 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.817 * [taylor]: Taking taylor expansion of 0.5 in n 1.817 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.817 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.817 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.817 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.817 * [taylor]: Taking taylor expansion of 2.0 in n 1.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.819 * [taylor]: Taking taylor expansion of 1.0 in n 1.819 * [taylor]: Taking taylor expansion of (log PI) in n 1.819 * [taylor]: Taking taylor expansion of PI in n 1.821 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.821 * [taylor]: Taking taylor expansion of 1.0 in n 1.821 * [taylor]: Taking taylor expansion of (log n) in n 1.821 * [taylor]: Taking taylor expansion of n in n 1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.828 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.828 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.828 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.828 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.828 * [taylor]: Taking taylor expansion of 0.5 in n 1.828 * [taylor]: Taking taylor expansion of k in n 1.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.828 * [taylor]: Taking taylor expansion of 2.0 in n 1.828 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.828 * [taylor]: Taking taylor expansion of PI in n 1.828 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.838 * [taylor]: Taking taylor expansion of 1.0 in k 1.838 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.838 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.838 * [taylor]: Taking taylor expansion of k in k 1.839 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.839 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.839 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.839 * [taylor]: Taking taylor expansion of 0.5 in k 1.839 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.839 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.839 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.839 * [taylor]: Taking taylor expansion of 1.0 in k 1.839 * [taylor]: Taking taylor expansion of (log PI) in k 1.839 * [taylor]: Taking taylor expansion of PI in k 1.841 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.841 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.841 * [taylor]: Taking taylor expansion of 1.0 in k 1.841 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.841 * [taylor]: Taking taylor expansion of 2.0 in k 1.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.843 * [taylor]: Taking taylor expansion of 1.0 in k 1.843 * [taylor]: Taking taylor expansion of (log n) in k 1.843 * [taylor]: Taking taylor expansion of n in k 1.850 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.850 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.850 * [taylor]: Taking taylor expansion of 0.5 in k 1.850 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.850 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.850 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.850 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.850 * [taylor]: Taking taylor expansion of 2.0 in k 1.850 * [taylor]: Taking taylor expansion of PI in k 1.851 * [taylor]: Taking taylor expansion of (log n) in k 1.851 * [taylor]: Taking taylor expansion of n in k 1.851 * [taylor]: Taking taylor expansion of k in k 1.883 * [taylor]: Taking taylor expansion of 0 in k 1.944 * [taylor]: Taking taylor expansion of 0 in k 2.028 * [taylor]: Taking taylor expansion of 0 in k 2.085 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.085 * [taylor]: Taking taylor expansion of 1.0 in k 2.085 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.085 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.085 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.085 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.085 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.085 * [taylor]: Taking taylor expansion of -1 in k 2.085 * [taylor]: Taking taylor expansion of k in k 2.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.087 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.087 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.087 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.087 * [taylor]: Taking taylor expansion of -0.5 in k 2.087 * [taylor]: Taking taylor expansion of k in k 2.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.087 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.087 * [taylor]: Taking taylor expansion of -2.0 in k 2.087 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.087 * [taylor]: Taking taylor expansion of PI in k 2.087 * [taylor]: Taking taylor expansion of n in k 2.088 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.088 * [taylor]: Taking taylor expansion of 0.5 in k 2.088 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.088 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.088 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.088 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.088 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.088 * [taylor]: Taking taylor expansion of 1.0 in k 2.088 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.088 * [taylor]: Taking taylor expansion of -2.0 in k 2.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.090 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.090 * [taylor]: Taking taylor expansion of 1.0 in k 2.090 * [taylor]: Taking taylor expansion of (log PI) in k 2.090 * [taylor]: Taking taylor expansion of PI in k 2.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.092 * [taylor]: Taking taylor expansion of 1.0 in k 2.092 * [taylor]: Taking taylor expansion of (log n) in k 2.092 * [taylor]: Taking taylor expansion of n in k 2.098 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.098 * [taylor]: Taking taylor expansion of 1.0 in n 2.098 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.098 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.098 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.098 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.098 * [taylor]: Taking taylor expansion of -1 in n 2.098 * [taylor]: Taking taylor expansion of k in n 2.098 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.098 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.098 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.098 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.098 * [taylor]: Taking taylor expansion of -0.5 in n 2.098 * [taylor]: Taking taylor expansion of k in n 2.099 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.099 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.099 * [taylor]: Taking taylor expansion of -2.0 in n 2.099 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.099 * [taylor]: Taking taylor expansion of PI in n 2.099 * [taylor]: Taking taylor expansion of n in n 2.103 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.104 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.104 * [taylor]: Taking taylor expansion of 0.5 in n 2.104 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.104 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.104 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.104 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.104 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.104 * [taylor]: Taking taylor expansion of 1.0 in n 2.104 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.104 * [taylor]: Taking taylor expansion of -2.0 in n 2.106 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.106 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.106 * [taylor]: Taking taylor expansion of 1.0 in n 2.106 * [taylor]: Taking taylor expansion of (log PI) in n 2.106 * [taylor]: Taking taylor expansion of PI in n 2.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.107 * [taylor]: Taking taylor expansion of 1.0 in n 2.107 * [taylor]: Taking taylor expansion of (log n) in n 2.108 * [taylor]: Taking taylor expansion of n in n 2.114 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.114 * [taylor]: Taking taylor expansion of 1.0 in n 2.114 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.114 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.114 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.114 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.114 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.114 * [taylor]: Taking taylor expansion of -1 in n 2.114 * [taylor]: Taking taylor expansion of k in n 2.115 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.115 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.115 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.115 * [taylor]: Taking taylor expansion of -0.5 in n 2.115 * [taylor]: Taking taylor expansion of k in n 2.115 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.115 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.115 * [taylor]: Taking taylor expansion of -2.0 in n 2.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.115 * [taylor]: Taking taylor expansion of PI in n 2.115 * [taylor]: Taking taylor expansion of n in n 2.120 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.120 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.120 * [taylor]: Taking taylor expansion of 0.5 in n 2.120 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.120 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.120 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.120 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.120 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.120 * [taylor]: Taking taylor expansion of 1.0 in n 2.120 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.120 * [taylor]: Taking taylor expansion of -2.0 in n 2.122 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.122 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.122 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.122 * [taylor]: Taking taylor expansion of 1.0 in n 2.122 * [taylor]: Taking taylor expansion of (log PI) in n 2.122 * [taylor]: Taking taylor expansion of PI in n 2.123 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.123 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.123 * [taylor]: Taking taylor expansion of 1.0 in n 2.124 * [taylor]: Taking taylor expansion of (log n) in n 2.124 * [taylor]: Taking taylor expansion of n in n 2.135 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.135 * [taylor]: Taking taylor expansion of 1.0 in k 2.135 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.135 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.135 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.135 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.135 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.135 * [taylor]: Taking taylor expansion of -0.5 in k 2.135 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.135 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.135 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.135 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.135 * [taylor]: Taking taylor expansion of -2.0 in k 2.135 * [taylor]: Taking taylor expansion of PI in k 2.136 * [taylor]: Taking taylor expansion of (log n) in k 2.136 * [taylor]: Taking taylor expansion of n in k 2.136 * [taylor]: Taking taylor expansion of k in k 2.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.139 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.139 * [taylor]: Taking taylor expansion of -1 in k 2.139 * [taylor]: Taking taylor expansion of k in k 2.142 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.142 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.142 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.142 * [taylor]: Taking taylor expansion of 0.5 in k 2.142 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.142 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.142 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.142 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.143 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.143 * [taylor]: Taking taylor expansion of 1.0 in k 2.143 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.143 * [taylor]: Taking taylor expansion of -2.0 in k 2.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.144 * [taylor]: Taking taylor expansion of 1.0 in k 2.144 * [taylor]: Taking taylor expansion of (log PI) in k 2.144 * [taylor]: Taking taylor expansion of PI in k 2.146 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.146 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.146 * [taylor]: Taking taylor expansion of 1.0 in k 2.146 * [taylor]: Taking taylor expansion of (log n) in k 2.146 * [taylor]: Taking taylor expansion of n in k 2.188 * [taylor]: Taking taylor expansion of 0 in k 2.254 * [taylor]: Taking taylor expansion of 0 in k 2.299 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.299 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.299 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.299 * [taylor]: Taking taylor expansion of 0.5 in n 2.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.300 * [taylor]: Taking taylor expansion of 2.0 in n 2.300 * [taylor]: Taking taylor expansion of (* n PI) in n 2.300 * [taylor]: Taking taylor expansion of n in n 2.300 * [taylor]: Taking taylor expansion of PI in n 2.305 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.305 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.305 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.305 * [taylor]: Taking taylor expansion of 0.5 in n 2.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.305 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.305 * [taylor]: Taking taylor expansion of 2.0 in n 2.305 * [taylor]: Taking taylor expansion of (* n PI) in n 2.305 * [taylor]: Taking taylor expansion of n in n 2.305 * [taylor]: Taking taylor expansion of PI in n 2.387 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.387 * [taylor]: Taking taylor expansion of 0.5 in n 2.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.387 * [taylor]: Taking taylor expansion of 2.0 in n 2.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.390 * [taylor]: Taking taylor expansion of 0.5 in n 2.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.390 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.390 * [taylor]: Taking taylor expansion of 2.0 in n 2.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.390 * [taylor]: Taking taylor expansion of PI in n 2.390 * [taylor]: Taking taylor expansion of n in n 2.470 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.470 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.470 * [taylor]: Taking taylor expansion of 0.5 in n 2.470 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.470 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.470 * [taylor]: Taking taylor expansion of -2.0 in n 2.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.470 * [taylor]: Taking taylor expansion of PI in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.481 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.481 * [taylor]: Taking taylor expansion of 0.5 in n 2.481 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of -2.0 in n 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.559 * * * [progress]: simplifying candidates 2.561 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (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) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.572 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.587 * * [simplify]: iteration 1 : 4012 enodes (cost 1247 ) 2.655 * * [simplify]: iteration 2 : 5001 enodes (cost 1237 ) 2.661 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +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 (- (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 (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 (* +nan.0 k) (* (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))) (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) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.662 * * * [progress]: adding candidates to table 2.905 * * [progress]: iteration 3 / 4 2.905 * * * [progress]: picking best candidate 2.936 * * * * [pick]: Picked # 2.936 * * * [progress]: localizing error 2.955 * * * [progress]: generating rewritten candidates 2.955 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.961 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.981 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.008 * * * [progress]: generating series expansions 3.009 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 3.009 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.009 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.009 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (* n PI) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.009 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.009 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (* n PI) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.021 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.021 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.021 * [taylor]: Taking taylor expansion of 2.0 in n 3.021 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.021 * [taylor]: Taking taylor expansion of PI in n 3.021 * [taylor]: Taking taylor expansion of n in n 3.022 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.022 * [taylor]: Taking taylor expansion of 2.0 in n 3.022 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.022 * [taylor]: Taking taylor expansion of PI in n 3.022 * [taylor]: Taking taylor expansion of n in n 3.030 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.030 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.030 * [taylor]: Taking taylor expansion of -2.0 in n 3.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.031 * [taylor]: Taking taylor expansion of PI in n 3.031 * [taylor]: Taking taylor expansion of n in n 3.031 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.031 * [taylor]: Taking taylor expansion of -2.0 in n 3.031 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.031 * [taylor]: Taking taylor expansion of PI in n 3.031 * [taylor]: Taking taylor expansion of n in n 3.039 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.040 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.040 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.040 * [taylor]: Taking taylor expansion of 2.0 in n 3.040 * [taylor]: Taking taylor expansion of (* n PI) in n 3.040 * [taylor]: Taking taylor expansion of n in n 3.040 * [taylor]: Taking taylor expansion of PI in n 3.040 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.040 * [taylor]: Taking taylor expansion of 2.0 in n 3.040 * [taylor]: Taking taylor expansion of (* n PI) in n 3.040 * [taylor]: Taking taylor expansion of n in n 3.040 * [taylor]: Taking taylor expansion of PI in n 3.052 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.052 * [taylor]: Taking taylor expansion of 2.0 in n 3.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.052 * [taylor]: Taking taylor expansion of PI in n 3.052 * [taylor]: Taking taylor expansion of n in n 3.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.052 * [taylor]: Taking taylor expansion of 2.0 in n 3.053 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.053 * [taylor]: Taking taylor expansion of PI in n 3.053 * [taylor]: Taking taylor expansion of n in n 3.061 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.061 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.061 * [taylor]: Taking taylor expansion of -2.0 in n 3.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.061 * [taylor]: Taking taylor expansion of PI in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.062 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.062 * [taylor]: Taking taylor expansion of -2.0 in n 3.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.062 * [taylor]: Taking taylor expansion of PI in n 3.062 * [taylor]: Taking taylor expansion of n in n 3.070 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.071 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.071 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 3.071 * [taylor]: Taking taylor expansion of 1.0 in k 3.071 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.071 * [taylor]: Taking taylor expansion of k in k 3.073 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.073 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.073 * [taylor]: Taking taylor expansion of 0.5 in k 3.073 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.073 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.073 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.073 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.073 * [taylor]: Taking taylor expansion of 1.0 in k 3.073 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.073 * [taylor]: Taking taylor expansion of 2.0 in k 3.075 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.075 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.075 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.075 * [taylor]: Taking taylor expansion of 1.0 in k 3.075 * [taylor]: Taking taylor expansion of (log n) in k 3.075 * [taylor]: Taking taylor expansion of n in k 3.075 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.075 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.075 * [taylor]: Taking taylor expansion of 1.0 in k 3.075 * [taylor]: Taking taylor expansion of (log PI) in k 3.075 * [taylor]: Taking taylor expansion of PI in k 3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.087 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.087 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.087 * [taylor]: Taking taylor expansion of 0.5 in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.087 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.087 * [taylor]: Taking taylor expansion of 2.0 in k 3.087 * [taylor]: Taking taylor expansion of (* n PI) in k 3.087 * [taylor]: Taking taylor expansion of n in k 3.087 * [taylor]: Taking taylor expansion of PI in k 3.090 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.090 * [taylor]: Taking taylor expansion of 1.0 in n 3.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.090 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.090 * [taylor]: Taking taylor expansion of k in n 3.090 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.090 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.090 * [taylor]: Taking taylor expansion of 0.5 in n 3.090 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.090 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.090 * [taylor]: Taking taylor expansion of 1.0 in n 3.090 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.090 * [taylor]: Taking taylor expansion of 2.0 in n 3.092 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.092 * [taylor]: Taking taylor expansion of 1.0 in n 3.092 * [taylor]: Taking taylor expansion of (log n) in n 3.092 * [taylor]: Taking taylor expansion of n in n 3.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.092 * [taylor]: Taking taylor expansion of 1.0 in n 3.092 * [taylor]: Taking taylor expansion of (log PI) in n 3.093 * [taylor]: Taking taylor expansion of PI in n 3.098 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.098 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.098 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.098 * [taylor]: Taking taylor expansion of 0.5 in n 3.098 * [taylor]: Taking taylor expansion of k in n 3.098 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.098 * [taylor]: Taking taylor expansion of 2.0 in n 3.098 * [taylor]: Taking taylor expansion of (* n PI) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [taylor]: Taking taylor expansion of PI in n 3.104 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.104 * [taylor]: Taking taylor expansion of 1.0 in n 3.104 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.104 * [taylor]: Taking taylor expansion of k in n 3.104 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.104 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.104 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.104 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.104 * [taylor]: Taking taylor expansion of 0.5 in n 3.104 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.104 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.104 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.104 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.104 * [taylor]: Taking taylor expansion of 1.0 in n 3.104 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.104 * [taylor]: Taking taylor expansion of 2.0 in n 3.106 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.106 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.106 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.106 * [taylor]: Taking taylor expansion of 1.0 in n 3.106 * [taylor]: Taking taylor expansion of (log n) in n 3.106 * [taylor]: Taking taylor expansion of n in n 3.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.107 * [taylor]: Taking taylor expansion of (log PI) in n 3.107 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.112 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.112 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.112 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.112 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.112 * [taylor]: Taking taylor expansion of 0.5 in n 3.112 * [taylor]: Taking taylor expansion of k in n 3.112 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.112 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.112 * [taylor]: Taking taylor expansion of 2.0 in n 3.112 * [taylor]: Taking taylor expansion of (* n PI) in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.123 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.123 * [taylor]: Taking taylor expansion of 1.0 in k 3.123 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.123 * [taylor]: Taking taylor expansion of k in k 3.124 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.124 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.124 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.124 * [taylor]: Taking taylor expansion of 0.5 in k 3.125 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.125 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.125 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.125 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.125 * [taylor]: Taking taylor expansion of 1.0 in k 3.125 * [taylor]: Taking taylor expansion of (log PI) in k 3.125 * [taylor]: Taking taylor expansion of PI in k 3.126 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.126 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.126 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.127 * [taylor]: Taking taylor expansion of 1.0 in k 3.127 * [taylor]: Taking taylor expansion of (log n) in k 3.127 * [taylor]: Taking taylor expansion of n in k 3.127 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.127 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.127 * [taylor]: Taking taylor expansion of 1.0 in k 3.127 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.127 * [taylor]: Taking taylor expansion of 2.0 in k 3.132 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.132 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.132 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.132 * [taylor]: Taking taylor expansion of 0.5 in k 3.132 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.132 * [taylor]: Taking taylor expansion of k in k 3.132 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.132 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.132 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.132 * [taylor]: Taking taylor expansion of 2.0 in k 3.132 * [taylor]: Taking taylor expansion of PI in k 3.133 * [taylor]: Taking taylor expansion of (log n) in k 3.133 * [taylor]: Taking taylor expansion of n in k 3.163 * [taylor]: Taking taylor expansion of 0 in k 3.220 * [taylor]: Taking taylor expansion of 0 in k 3.318 * [taylor]: Taking taylor expansion of 0 in k 3.440 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 3.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 3.440 * [taylor]: Taking taylor expansion of 1.0 in k 3.440 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.440 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.440 * [taylor]: Taking taylor expansion of k in k 3.441 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.441 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.441 * [taylor]: Taking taylor expansion of 0.5 in k 3.442 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.442 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.442 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.442 * [taylor]: Taking taylor expansion of 1.0 in k 3.442 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.442 * [taylor]: Taking taylor expansion of 2.0 in k 3.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.443 * [taylor]: Taking taylor expansion of 1.0 in k 3.444 * [taylor]: Taking taylor expansion of (log PI) in k 3.444 * [taylor]: Taking taylor expansion of PI in k 3.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.445 * [taylor]: Taking taylor expansion of 1.0 in k 3.445 * [taylor]: Taking taylor expansion of (log n) in k 3.445 * [taylor]: Taking taylor expansion of n in k 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.452 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.452 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.452 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.452 * [taylor]: Taking taylor expansion of 0.5 in k 3.452 * [taylor]: Taking taylor expansion of k in k 3.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.452 * [taylor]: Taking taylor expansion of 2.0 in k 3.452 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.452 * [taylor]: Taking taylor expansion of PI in k 3.452 * [taylor]: Taking taylor expansion of n in k 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.453 * [taylor]: Taking taylor expansion of 1.0 in n 3.453 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.453 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.453 * [taylor]: Taking taylor expansion of k in n 3.453 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.453 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.453 * [taylor]: Taking taylor expansion of 0.5 in n 3.453 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.453 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.453 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.453 * [taylor]: Taking taylor expansion of 1.0 in n 3.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.453 * [taylor]: Taking taylor expansion of 2.0 in n 3.455 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.455 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.455 * [taylor]: Taking taylor expansion of 1.0 in n 3.455 * [taylor]: Taking taylor expansion of (log PI) in n 3.455 * [taylor]: Taking taylor expansion of PI in n 3.457 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.457 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.457 * [taylor]: Taking taylor expansion of 1.0 in n 3.457 * [taylor]: Taking taylor expansion of (log n) in n 3.457 * [taylor]: Taking taylor expansion of n in n 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.464 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.464 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.464 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.464 * [taylor]: Taking taylor expansion of 0.5 in n 3.464 * [taylor]: Taking taylor expansion of k in n 3.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.464 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.464 * [taylor]: Taking taylor expansion of 2.0 in n 3.464 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.464 * [taylor]: Taking taylor expansion of PI in n 3.464 * [taylor]: Taking taylor expansion of n in n 3.468 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.468 * [taylor]: Taking taylor expansion of 1.0 in n 3.468 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.468 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.468 * [taylor]: Taking taylor expansion of k in n 3.468 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.468 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.468 * [taylor]: Taking taylor expansion of 0.5 in n 3.468 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.468 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.468 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.468 * [taylor]: Taking taylor expansion of 1.0 in n 3.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.468 * [taylor]: Taking taylor expansion of 2.0 in n 3.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.470 * [taylor]: Taking taylor expansion of 1.0 in n 3.470 * [taylor]: Taking taylor expansion of (log PI) in n 3.470 * [taylor]: Taking taylor expansion of PI in n 3.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.472 * [taylor]: Taking taylor expansion of 1.0 in n 3.472 * [taylor]: Taking taylor expansion of (log n) in n 3.472 * [taylor]: Taking taylor expansion of n in n 3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.479 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.479 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.479 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.479 * [taylor]: Taking taylor expansion of 0.5 in n 3.479 * [taylor]: Taking taylor expansion of k in n 3.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.479 * [taylor]: Taking taylor expansion of 2.0 in n 3.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.479 * [taylor]: Taking taylor expansion of PI in n 3.479 * [taylor]: Taking taylor expansion of n in n 3.489 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 3.489 * [taylor]: Taking taylor expansion of 1.0 in k 3.489 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.489 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.489 * [taylor]: Taking taylor expansion of k in k 3.490 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.490 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.490 * [taylor]: Taking taylor expansion of 0.5 in k 3.490 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.491 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.491 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.491 * [taylor]: Taking taylor expansion of 1.0 in k 3.491 * [taylor]: Taking taylor expansion of (log PI) in k 3.491 * [taylor]: Taking taylor expansion of PI in k 3.492 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.492 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.492 * [taylor]: Taking taylor expansion of 1.0 in k 3.492 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.493 * [taylor]: Taking taylor expansion of 2.0 in k 3.494 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.494 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.494 * [taylor]: Taking taylor expansion of 1.0 in k 3.494 * [taylor]: Taking taylor expansion of (log n) in k 3.494 * [taylor]: Taking taylor expansion of n in k 3.501 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.501 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.501 * [taylor]: Taking taylor expansion of 0.5 in k 3.501 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.501 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.501 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.501 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.501 * [taylor]: Taking taylor expansion of 2.0 in k 3.501 * [taylor]: Taking taylor expansion of PI in k 3.502 * [taylor]: Taking taylor expansion of (log n) in k 3.502 * [taylor]: Taking taylor expansion of n in k 3.502 * [taylor]: Taking taylor expansion of k in k 3.540 * [taylor]: Taking taylor expansion of 0 in k 3.596 * [taylor]: Taking taylor expansion of 0 in k 3.678 * [taylor]: Taking taylor expansion of 0 in k 3.736 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 3.736 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.736 * [taylor]: Taking taylor expansion of 1.0 in k 3.736 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.736 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.736 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.736 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.736 * [taylor]: Taking taylor expansion of -1 in k 3.736 * [taylor]: Taking taylor expansion of k in k 3.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.738 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.738 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.738 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.738 * [taylor]: Taking taylor expansion of -0.5 in k 3.738 * [taylor]: Taking taylor expansion of k in k 3.738 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.738 * [taylor]: Taking taylor expansion of -2.0 in k 3.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.738 * [taylor]: Taking taylor expansion of PI in k 3.738 * [taylor]: Taking taylor expansion of n in k 3.739 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.739 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.739 * [taylor]: Taking taylor expansion of 0.5 in k 3.739 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.739 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.739 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.739 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.739 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.739 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.739 * [taylor]: Taking taylor expansion of 1.0 in k 3.739 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.739 * [taylor]: Taking taylor expansion of -2.0 in k 3.741 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.741 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.741 * [taylor]: Taking taylor expansion of 1.0 in k 3.741 * [taylor]: Taking taylor expansion of (log PI) in k 3.741 * [taylor]: Taking taylor expansion of PI in k 3.743 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.743 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.743 * [taylor]: Taking taylor expansion of 1.0 in k 3.743 * [taylor]: Taking taylor expansion of (log n) in k 3.743 * [taylor]: Taking taylor expansion of n in k 3.749 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.749 * [taylor]: Taking taylor expansion of 1.0 in n 3.749 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.749 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.749 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.749 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.749 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.749 * [taylor]: Taking taylor expansion of -1 in n 3.749 * [taylor]: Taking taylor expansion of k in n 3.749 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.749 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.749 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.749 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.749 * [taylor]: Taking taylor expansion of -0.5 in n 3.749 * [taylor]: Taking taylor expansion of k in n 3.749 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.749 * [taylor]: Taking taylor expansion of -2.0 in n 3.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.749 * [taylor]: Taking taylor expansion of PI in n 3.749 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.754 * [taylor]: Taking taylor expansion of 0.5 in n 3.754 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.754 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.754 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.754 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.754 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.754 * [taylor]: Taking taylor expansion of 1.0 in n 3.754 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.755 * [taylor]: Taking taylor expansion of -2.0 in n 3.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.756 * [taylor]: Taking taylor expansion of 1.0 in n 3.756 * [taylor]: Taking taylor expansion of (log PI) in n 3.756 * [taylor]: Taking taylor expansion of PI in n 3.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.758 * [taylor]: Taking taylor expansion of 1.0 in n 3.758 * [taylor]: Taking taylor expansion of (log n) in n 3.758 * [taylor]: Taking taylor expansion of n in n 3.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.765 * [taylor]: Taking taylor expansion of 1.0 in n 3.765 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.765 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.765 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.765 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.765 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.765 * [taylor]: Taking taylor expansion of -1 in n 3.765 * [taylor]: Taking taylor expansion of k in n 3.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.765 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.765 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.765 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.765 * [taylor]: Taking taylor expansion of -0.5 in n 3.765 * [taylor]: Taking taylor expansion of k in n 3.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.765 * [taylor]: Taking taylor expansion of -2.0 in n 3.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.765 * [taylor]: Taking taylor expansion of PI in n 3.765 * [taylor]: Taking taylor expansion of n in n 3.770 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.770 * [taylor]: Taking taylor expansion of 0.5 in n 3.770 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.770 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.770 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.770 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.770 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.770 * [taylor]: Taking taylor expansion of 1.0 in n 3.770 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.771 * [taylor]: Taking taylor expansion of -2.0 in n 3.779 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.779 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.779 * [taylor]: Taking taylor expansion of 1.0 in n 3.779 * [taylor]: Taking taylor expansion of (log PI) in n 3.779 * [taylor]: Taking taylor expansion of PI in n 3.781 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.781 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.781 * [taylor]: Taking taylor expansion of 1.0 in n 3.781 * [taylor]: Taking taylor expansion of (log n) in n 3.781 * [taylor]: Taking taylor expansion of n in n 3.792 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.792 * [taylor]: Taking taylor expansion of 1.0 in k 3.792 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.792 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.792 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.792 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.792 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.792 * [taylor]: Taking taylor expansion of -0.5 in k 3.792 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.792 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.792 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.792 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.792 * [taylor]: Taking taylor expansion of -2.0 in k 3.792 * [taylor]: Taking taylor expansion of PI in k 3.793 * [taylor]: Taking taylor expansion of (log n) in k 3.793 * [taylor]: Taking taylor expansion of n in k 3.793 * [taylor]: Taking taylor expansion of k in k 3.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.796 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.796 * [taylor]: Taking taylor expansion of -1 in k 3.796 * [taylor]: Taking taylor expansion of k in k 3.800 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.800 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.800 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.800 * [taylor]: Taking taylor expansion of 0.5 in k 3.800 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.800 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.800 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.800 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.800 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.800 * [taylor]: Taking taylor expansion of 1.0 in k 3.800 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.800 * [taylor]: Taking taylor expansion of -2.0 in k 3.801 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.802 * [taylor]: Taking taylor expansion of 1.0 in k 3.802 * [taylor]: Taking taylor expansion of (log PI) in k 3.802 * [taylor]: Taking taylor expansion of PI in k 3.803 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.803 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.803 * [taylor]: Taking taylor expansion of 1.0 in k 3.803 * [taylor]: Taking taylor expansion of (log n) in k 3.803 * [taylor]: Taking taylor expansion of n in k 3.839 * [taylor]: Taking taylor expansion of 0 in k 3.905 * [taylor]: Taking taylor expansion of 0 in k 3.956 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.956 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in (k n) around 0 3.956 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.956 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.956 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.956 * [taylor]: Taking taylor expansion of k in n 3.957 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.957 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.957 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.957 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.957 * [taylor]: Taking taylor expansion of 0.5 in n 3.957 * [taylor]: Taking taylor expansion of k in n 3.957 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.957 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.957 * [taylor]: Taking taylor expansion of 2.0 in n 3.957 * [taylor]: Taking taylor expansion of (* n PI) in n 3.957 * [taylor]: Taking taylor expansion of n in n 3.957 * [taylor]: Taking taylor expansion of PI in n 3.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.963 * [taylor]: Taking taylor expansion of k in k 3.964 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.964 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.964 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.964 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.964 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.964 * [taylor]: Taking taylor expansion of 0.5 in k 3.964 * [taylor]: Taking taylor expansion of k in k 3.964 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.964 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.964 * [taylor]: Taking taylor expansion of 2.0 in k 3.964 * [taylor]: Taking taylor expansion of (* n PI) in k 3.965 * [taylor]: Taking taylor expansion of n in k 3.965 * [taylor]: Taking taylor expansion of PI in k 3.967 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.967 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.968 * [taylor]: Taking taylor expansion of k in k 3.969 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.969 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.969 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.969 * [taylor]: Taking taylor expansion of 0.5 in k 3.969 * [taylor]: Taking taylor expansion of k in k 3.969 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.969 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.969 * [taylor]: Taking taylor expansion of 2.0 in k 3.969 * [taylor]: Taking taylor expansion of (* n PI) in k 3.969 * [taylor]: Taking taylor expansion of n in k 3.969 * [taylor]: Taking taylor expansion of PI in k 3.972 * [taylor]: Taking taylor expansion of 0 in n 3.973 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.973 * [taylor]: Taking taylor expansion of +nan.0 in n 3.980 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 3.980 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 3.980 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 3.980 * [taylor]: Taking taylor expansion of +nan.0 in n 3.980 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.980 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.980 * [taylor]: Taking taylor expansion of 2.0 in n 3.980 * [taylor]: Taking taylor expansion of (* n PI) in n 3.980 * [taylor]: Taking taylor expansion of n in n 3.980 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.983 * [taylor]: Taking taylor expansion of +nan.0 in n 3.998 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))))) in n 3.998 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)))) in n 3.998 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) in n 3.998 * [taylor]: Taking taylor expansion of +nan.0 in n 3.998 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.998 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.999 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.999 * [taylor]: Taking taylor expansion of 2.0 in n 3.999 * [taylor]: Taking taylor expansion of (* n PI) in n 3.999 * [taylor]: Taking taylor expansion of n in n 3.999 * [taylor]: Taking taylor expansion of PI in n 4.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 4.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 4.002 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 4.002 * [taylor]: Taking taylor expansion of +nan.0 in n 4.002 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.002 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.002 * [taylor]: Taking taylor expansion of 2.0 in n 4.002 * [taylor]: Taking taylor expansion of (* n PI) in n 4.002 * [taylor]: Taking taylor expansion of n in n 4.003 * [taylor]: Taking taylor expansion of PI in n 4.005 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.005 * [taylor]: Taking taylor expansion of +nan.0 in n 4.030 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 4.030 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.030 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.030 * [taylor]: Taking taylor expansion of k in n 4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.030 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.030 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.030 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.030 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.030 * [taylor]: Taking taylor expansion of 0.5 in n 4.030 * [taylor]: Taking taylor expansion of k in n 4.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.030 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.030 * [taylor]: Taking taylor expansion of 2.0 in n 4.030 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.030 * [taylor]: Taking taylor expansion of PI in n 4.030 * [taylor]: Taking taylor expansion of n in n 4.041 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.041 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.041 * [taylor]: Taking taylor expansion of k in k 4.042 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.042 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.042 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.042 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.042 * [taylor]: Taking taylor expansion of 0.5 in k 4.042 * [taylor]: Taking taylor expansion of k in k 4.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.042 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.042 * [taylor]: Taking taylor expansion of 2.0 in k 4.042 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.042 * [taylor]: Taking taylor expansion of PI in k 4.042 * [taylor]: Taking taylor expansion of n in k 4.043 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.043 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.043 * [taylor]: Taking taylor expansion of k in k 4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.044 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.044 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.044 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.044 * [taylor]: Taking taylor expansion of 0.5 in k 4.044 * [taylor]: Taking taylor expansion of k in k 4.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.044 * [taylor]: Taking taylor expansion of 2.0 in k 4.044 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.044 * [taylor]: Taking taylor expansion of PI in k 4.044 * [taylor]: Taking taylor expansion of n in k 4.045 * [taylor]: Taking taylor expansion of 0 in n 4.045 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.045 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.045 * [taylor]: Taking taylor expansion of +nan.0 in n 4.045 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.045 * [taylor]: Taking taylor expansion of 0.5 in n 4.045 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.045 * [taylor]: Taking taylor expansion of 2.0 in n 4.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.045 * [taylor]: Taking taylor expansion of PI in n 4.046 * [taylor]: Taking taylor expansion of n in n 4.047 * [taylor]: Taking taylor expansion of k in n 4.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.056 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.056 * [taylor]: Taking taylor expansion of +nan.0 in n 4.056 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.056 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.056 * [taylor]: Taking taylor expansion of 0.5 in n 4.056 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.056 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.056 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.056 * [taylor]: Taking taylor expansion of 2.0 in n 4.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.056 * [taylor]: Taking taylor expansion of PI in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.057 * [taylor]: Taking taylor expansion of k in n 4.075 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.075 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.075 * [taylor]: Taking taylor expansion of +nan.0 in n 4.075 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.075 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.075 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.075 * [taylor]: Taking taylor expansion of 0.5 in n 4.075 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.075 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.075 * [taylor]: Taking taylor expansion of 2.0 in n 4.075 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.075 * [taylor]: Taking taylor expansion of PI in n 4.075 * [taylor]: Taking taylor expansion of n in n 4.077 * [taylor]: Taking taylor expansion of k in n 4.087 * [approximate]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in (k n) around 0 4.087 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.087 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.087 * [taylor]: Taking taylor expansion of -1 in n 4.087 * [taylor]: Taking taylor expansion of k in n 4.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.087 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.087 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.087 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.087 * [taylor]: Taking taylor expansion of -0.5 in n 4.087 * [taylor]: Taking taylor expansion of k in n 4.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.087 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.087 * [taylor]: Taking taylor expansion of -2.0 in n 4.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.087 * [taylor]: Taking taylor expansion of PI in n 4.087 * [taylor]: Taking taylor expansion of n in n 4.092 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.092 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.092 * [taylor]: Taking taylor expansion of -1 in k 4.092 * [taylor]: Taking taylor expansion of k in k 4.093 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.093 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.093 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.093 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.093 * [taylor]: Taking taylor expansion of -0.5 in k 4.094 * [taylor]: Taking taylor expansion of k in k 4.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.094 * [taylor]: Taking taylor expansion of -2.0 in k 4.094 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.094 * [taylor]: Taking taylor expansion of PI in k 4.094 * [taylor]: Taking taylor expansion of n in k 4.095 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.095 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.095 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.095 * [taylor]: Taking taylor expansion of -1 in k 4.095 * [taylor]: Taking taylor expansion of k in k 4.096 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.096 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.096 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.096 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.096 * [taylor]: Taking taylor expansion of -0.5 in k 4.096 * [taylor]: Taking taylor expansion of k in k 4.096 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.096 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.096 * [taylor]: Taking taylor expansion of -2.0 in k 4.096 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.096 * [taylor]: Taking taylor expansion of PI in k 4.096 * [taylor]: Taking taylor expansion of n in k 4.097 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.097 * [taylor]: Taking taylor expansion of +nan.0 in n 4.097 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.097 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.097 * [taylor]: Taking taylor expansion of -0.5 in n 4.097 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.097 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.097 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.098 * [taylor]: Taking taylor expansion of -2.0 in n 4.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.098 * [taylor]: Taking taylor expansion of PI in n 4.098 * [taylor]: Taking taylor expansion of n in n 4.099 * [taylor]: Taking taylor expansion of k in n 4.107 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.107 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.107 * [taylor]: Taking taylor expansion of +nan.0 in n 4.107 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.107 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.107 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.107 * [taylor]: Taking taylor expansion of -0.5 in n 4.107 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.107 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.107 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.107 * [taylor]: Taking taylor expansion of -2.0 in n 4.107 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.107 * [taylor]: Taking taylor expansion of PI in n 4.107 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of k in n 4.132 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.132 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.132 * [taylor]: Taking taylor expansion of +nan.0 in n 4.132 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.132 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.132 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.132 * [taylor]: Taking taylor expansion of -0.5 in n 4.132 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.132 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.132 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.132 * [taylor]: Taking taylor expansion of -2.0 in n 4.133 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.133 * [taylor]: Taking taylor expansion of n in n 4.134 * [taylor]: Taking taylor expansion of k in n 4.143 * * * [progress]: simplifying candidates 4.147 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log1p (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (+ (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (exp (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt 1) (sqrt k))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (sqrt k))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (expm1 (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 1) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 0 (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- 0 (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- 0 (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- 0 (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 0 (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log 1) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log 1) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log 1) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log 1) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* 1 1) 1) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 1) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (sqrt 1) (sqrt k)) (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ 1 (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt 1)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt 1)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (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) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) (- (+ (* +nan.0 (* (pow k 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow k 2) (log n))) (- (+ (* +nan.0 (* k (log (* 2.0 PI)))) (- (+ (* +nan.0 (* k (log n))) (- +nan.0))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))) 4.163 * * [simplify]: iteration 0 : 1323 enodes (cost 2960 ) 4.181 * * [simplify]: iteration 1 : 4908 enodes (cost 2698 ) 4.257 * * [simplify]: iteration 2 : 5001 enodes (cost 2698 ) 4.269 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log1p (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (cbrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 1) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (* (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ 1 (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3)) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- 1) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt k)) (/ (cbrt 1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt 1)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (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) (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))))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (+ (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (- (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow k 2)) (- (* +nan.0 k) (- (* +nan.0 (* (pow k 2) (log n))) (- (* +nan.0 (* k (log (* 2.0 PI)))) (fma +nan.0 (* k (log n)) (- +nan.0)))))))))) (+ (* +nan.0 (- (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (/ (- +nan.0) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (+ (* +nan.0 (- (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (/ (- +nan.0) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) 4.271 * * * [progress]: adding candidates to table 4.534 * * [progress]: iteration 4 / 4 4.534 * * * [progress]: picking best candidate 4.559 * * * * [pick]: Picked # 4.559 * * * [progress]: localizing error 4.581 * * * [progress]: generating rewritten candidates 4.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.593 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.597 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.602 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 4.611 * * * [progress]: generating series expansions 4.611 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.613 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 4.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.613 * [taylor]: Taking taylor expansion of 1.0 in n 4.613 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.613 * [taylor]: Taking taylor expansion of k in n 4.613 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.613 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.613 * [taylor]: Taking taylor expansion of 0.5 in n 4.613 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.613 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.613 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.613 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.613 * [taylor]: Taking taylor expansion of 1.0 in n 4.613 * [taylor]: Taking taylor expansion of (log PI) in n 4.613 * [taylor]: Taking taylor expansion of PI in n 4.615 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.615 * [taylor]: Taking taylor expansion of 1.0 in n 4.615 * [taylor]: Taking taylor expansion of (log n) in n 4.615 * [taylor]: Taking taylor expansion of n in n 4.616 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.616 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.616 * [taylor]: Taking taylor expansion of 1.0 in n 4.616 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.616 * [taylor]: Taking taylor expansion of 2.0 in n 4.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.621 * [taylor]: Taking taylor expansion of 1.0 in k 4.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.621 * [taylor]: Taking taylor expansion of k in k 4.622 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.622 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.622 * [taylor]: Taking taylor expansion of 0.5 in k 4.622 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.622 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.622 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (log PI) in k 4.623 * [taylor]: Taking taylor expansion of PI in k 4.624 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.624 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.624 * [taylor]: Taking taylor expansion of 1.0 in k 4.624 * [taylor]: Taking taylor expansion of (log n) in k 4.624 * [taylor]: Taking taylor expansion of n in k 4.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.625 * [taylor]: Taking taylor expansion of 1.0 in k 4.625 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.625 * [taylor]: Taking taylor expansion of 2.0 in k 4.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.630 * [taylor]: Taking taylor expansion of 1.0 in k 4.630 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.630 * [taylor]: Taking taylor expansion of k in k 4.631 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.631 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.631 * [taylor]: Taking taylor expansion of 0.5 in k 4.631 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.631 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.631 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.631 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.631 * [taylor]: Taking taylor expansion of 1.0 in k 4.631 * [taylor]: Taking taylor expansion of (log PI) in k 4.631 * [taylor]: Taking taylor expansion of PI in k 4.633 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.633 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.633 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.633 * [taylor]: Taking taylor expansion of 1.0 in k 4.633 * [taylor]: Taking taylor expansion of (log n) in k 4.633 * [taylor]: Taking taylor expansion of n in k 4.633 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.633 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.633 * [taylor]: Taking taylor expansion of 1.0 in k 4.633 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.633 * [taylor]: Taking taylor expansion of 2.0 in k 4.640 * [taylor]: Taking taylor expansion of 0 in n 4.652 * [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 4.652 * [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 4.652 * [taylor]: Taking taylor expansion of +nan.0 in n 4.652 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.652 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.652 * [taylor]: Taking taylor expansion of 0.5 in n 4.652 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.652 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.652 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.652 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.652 * [taylor]: Taking taylor expansion of 1.0 in n 4.652 * [taylor]: Taking taylor expansion of (log PI) in n 4.652 * [taylor]: Taking taylor expansion of PI in n 4.654 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.654 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.654 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.654 * [taylor]: Taking taylor expansion of 1.0 in n 4.654 * [taylor]: Taking taylor expansion of (log n) in n 4.654 * [taylor]: Taking taylor expansion of n in n 4.655 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.655 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.655 * [taylor]: Taking taylor expansion of 1.0 in n 4.655 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.655 * [taylor]: Taking taylor expansion of 2.0 in n 4.689 * [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 4.689 * [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 4.689 * [taylor]: Taking taylor expansion of +nan.0 in n 4.689 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.689 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.689 * [taylor]: Taking taylor expansion of 0.5 in n 4.689 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.689 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.689 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.689 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.689 * [taylor]: Taking taylor expansion of 1.0 in n 4.689 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.689 * [taylor]: Taking taylor expansion of 2.0 in n 4.691 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.691 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.691 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.691 * [taylor]: Taking taylor expansion of 1.0 in n 4.691 * [taylor]: Taking taylor expansion of (log n) in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.692 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.692 * [taylor]: Taking taylor expansion of 1.0 in n 4.692 * [taylor]: Taking taylor expansion of (log PI) in n 4.692 * [taylor]: Taking taylor expansion of PI in n 4.742 * [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 4.742 * [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 4.742 * [taylor]: Taking taylor expansion of +nan.0 in n 4.742 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.742 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.742 * [taylor]: Taking taylor expansion of 0.5 in n 4.742 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.742 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.742 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.742 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [taylor]: Taking taylor expansion of (log PI) in n 4.742 * [taylor]: Taking taylor expansion of PI in n 4.744 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.744 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.744 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [taylor]: Taking taylor expansion of (log n) in n 4.744 * [taylor]: Taking taylor expansion of n in n 4.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.744 * [taylor]: Taking taylor expansion of 2.0 in n 4.755 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 4.756 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.756 * [taylor]: Taking taylor expansion of 1.0 in n 4.756 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.756 * [taylor]: Taking taylor expansion of k in n 4.756 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.756 * [taylor]: Taking taylor expansion of 0.5 in n 4.756 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.756 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.756 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.756 * [taylor]: Taking taylor expansion of 1.0 in n 4.756 * [taylor]: Taking taylor expansion of (log PI) in n 4.756 * [taylor]: Taking taylor expansion of PI in n 4.758 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.758 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.758 * [taylor]: Taking taylor expansion of 1.0 in n 4.758 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.758 * [taylor]: Taking taylor expansion of 2.0 in n 4.766 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.766 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.766 * [taylor]: Taking taylor expansion of 1.0 in n 4.766 * [taylor]: Taking taylor expansion of (log n) in n 4.766 * [taylor]: Taking taylor expansion of n in n 4.772 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 4.773 * [taylor]: Taking taylor expansion of 1.0 in k 4.773 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.773 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.773 * [taylor]: Taking taylor expansion of k in k 4.774 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.774 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.774 * [taylor]: Taking taylor expansion of 0.5 in k 4.774 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.774 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.774 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.774 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.774 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.774 * [taylor]: Taking taylor expansion of 1.0 in k 4.774 * [taylor]: Taking taylor expansion of (log PI) in k 4.774 * [taylor]: Taking taylor expansion of PI in k 4.776 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.776 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.776 * [taylor]: Taking taylor expansion of 1.0 in k 4.776 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.776 * [taylor]: Taking taylor expansion of 2.0 in k 4.777 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.778 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.778 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.778 * [taylor]: Taking taylor expansion of 1.0 in k 4.778 * [taylor]: Taking taylor expansion of (log n) in k 4.778 * [taylor]: Taking taylor expansion of n in k 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 4.784 * [taylor]: Taking taylor expansion of 1.0 in k 4.784 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 4.784 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.784 * [taylor]: Taking taylor expansion of k in k 4.785 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.785 * [taylor]: Taking taylor expansion of 0.5 in k 4.785 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.785 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.785 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.785 * [taylor]: Taking taylor expansion of 1.0 in k 4.785 * [taylor]: Taking taylor expansion of (log PI) in k 4.785 * [taylor]: Taking taylor expansion of PI in k 4.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.787 * [taylor]: Taking taylor expansion of 1.0 in k 4.787 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.787 * [taylor]: Taking taylor expansion of 2.0 in k 4.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.789 * [taylor]: Taking taylor expansion of 1.0 in k 4.789 * [taylor]: Taking taylor expansion of (log n) in k 4.789 * [taylor]: Taking taylor expansion of n in k 4.797 * [taylor]: Taking taylor expansion of 0 in n 4.812 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.812 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.812 * [taylor]: Taking taylor expansion of +nan.0 in n 4.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.812 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.813 * [taylor]: Taking taylor expansion of 0.5 in n 4.813 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.813 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.813 * [taylor]: Taking taylor expansion of 1.0 in n 4.813 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.813 * [taylor]: Taking taylor expansion of 2.0 in n 4.814 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.814 * [taylor]: Taking taylor expansion of 1.0 in n 4.814 * [taylor]: Taking taylor expansion of (log PI) in n 4.814 * [taylor]: Taking taylor expansion of PI in n 4.816 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.816 * [taylor]: Taking taylor expansion of 1.0 in n 4.816 * [taylor]: Taking taylor expansion of (log n) in n 4.816 * [taylor]: Taking taylor expansion of n in n 4.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 4.857 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 4.857 * [taylor]: Taking taylor expansion of +nan.0 in n 4.857 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.857 * [taylor]: Taking taylor expansion of 0.5 in n 4.857 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.857 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.857 * [taylor]: Taking taylor expansion of 1.0 in n 4.857 * [taylor]: Taking taylor expansion of (log PI) in n 4.857 * [taylor]: Taking taylor expansion of PI in n 4.859 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.859 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.859 * [taylor]: Taking taylor expansion of 1.0 in n 4.859 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.859 * [taylor]: Taking taylor expansion of 2.0 in n 4.861 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.861 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.861 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.861 * [taylor]: Taking taylor expansion of 1.0 in n 4.861 * [taylor]: Taking taylor expansion of (log n) in n 4.861 * [taylor]: Taking taylor expansion of n in n 4.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.919 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.919 * [taylor]: Taking taylor expansion of +nan.0 in n 4.919 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.919 * [taylor]: Taking taylor expansion of 0.5 in n 4.919 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.919 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.919 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.919 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.919 * [taylor]: Taking taylor expansion of 1.0 in n 4.919 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.919 * [taylor]: Taking taylor expansion of 2.0 in n 4.921 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.921 * [taylor]: Taking taylor expansion of 1.0 in n 4.921 * [taylor]: Taking taylor expansion of (log PI) in n 4.921 * [taylor]: Taking taylor expansion of PI in n 4.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.923 * [taylor]: Taking taylor expansion of 1.0 in n 4.923 * [taylor]: Taking taylor expansion of (log n) in n 4.923 * [taylor]: Taking taylor expansion of n in n 5.075 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 5.076 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.076 * [taylor]: Taking taylor expansion of 1.0 in n 5.076 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.076 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.076 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.076 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.076 * [taylor]: Taking taylor expansion of -1 in n 5.076 * [taylor]: Taking taylor expansion of k in n 5.076 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.076 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.076 * [taylor]: Taking taylor expansion of 0.5 in n 5.076 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.076 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.076 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.076 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.076 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.076 * [taylor]: Taking taylor expansion of 1.0 in n 5.076 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.076 * [taylor]: Taking taylor expansion of -2.0 in n 5.078 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.078 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.078 * [taylor]: Taking taylor expansion of 1.0 in n 5.078 * [taylor]: Taking taylor expansion of (log PI) in n 5.078 * [taylor]: Taking taylor expansion of PI in n 5.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.080 * [taylor]: Taking taylor expansion of 1.0 in n 5.080 * [taylor]: Taking taylor expansion of (log n) in n 5.080 * [taylor]: Taking taylor expansion of n in n 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.087 * [taylor]: Taking taylor expansion of 1.0 in k 5.087 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.087 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.087 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.087 * [taylor]: Taking taylor expansion of -1 in k 5.087 * [taylor]: Taking taylor expansion of k in k 5.088 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.088 * [taylor]: Taking taylor expansion of 0.5 in k 5.088 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.088 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.088 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.088 * [taylor]: Taking taylor expansion of -2.0 in k 5.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.090 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.090 * [taylor]: Taking taylor expansion of 1.0 in k 5.090 * [taylor]: Taking taylor expansion of (log PI) in k 5.090 * [taylor]: Taking taylor expansion of PI in k 5.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.092 * [taylor]: Taking taylor expansion of 1.0 in k 5.092 * [taylor]: Taking taylor expansion of (log n) in k 5.092 * [taylor]: Taking taylor expansion of n in k 5.098 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.099 * [taylor]: Taking taylor expansion of 1.0 in k 5.099 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.099 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.099 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.099 * [taylor]: Taking taylor expansion of -1 in k 5.099 * [taylor]: Taking taylor expansion of k in k 5.100 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.100 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.100 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.100 * [taylor]: Taking taylor expansion of 0.5 in k 5.100 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.100 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.100 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.100 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.100 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.100 * [taylor]: Taking taylor expansion of 1.0 in k 5.100 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.100 * [taylor]: Taking taylor expansion of -2.0 in k 5.102 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.102 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.102 * [taylor]: Taking taylor expansion of 1.0 in k 5.102 * [taylor]: Taking taylor expansion of (log PI) in k 5.102 * [taylor]: Taking taylor expansion of PI in k 5.104 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.104 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.104 * [taylor]: Taking taylor expansion of 1.0 in k 5.104 * [taylor]: Taking taylor expansion of (log n) in k 5.104 * [taylor]: Taking taylor expansion of n in k 5.113 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.113 * [taylor]: Taking taylor expansion of +nan.0 in n 5.113 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.113 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.113 * [taylor]: Taking taylor expansion of 0.5 in n 5.113 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.113 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.113 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.113 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.113 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.113 * [taylor]: Taking taylor expansion of 1.0 in n 5.113 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.113 * [taylor]: Taking taylor expansion of -2.0 in n 5.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [taylor]: Taking taylor expansion of (log PI) in n 5.115 * [taylor]: Taking taylor expansion of PI in n 5.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.117 * [taylor]: Taking taylor expansion of 1.0 in n 5.117 * [taylor]: Taking taylor expansion of (log n) in n 5.117 * [taylor]: Taking taylor expansion of n in n 5.147 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.147 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.147 * [taylor]: Taking taylor expansion of +nan.0 in n 5.147 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.147 * [taylor]: Taking taylor expansion of 0.5 in n 5.147 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.147 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.147 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.147 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.147 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.147 * [taylor]: Taking taylor expansion of 1.0 in n 5.147 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.147 * [taylor]: Taking taylor expansion of -2.0 in n 5.149 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.149 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.149 * [taylor]: Taking taylor expansion of 1.0 in n 5.149 * [taylor]: Taking taylor expansion of (log PI) in n 5.149 * [taylor]: Taking taylor expansion of PI in n 5.150 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.151 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.151 * [taylor]: Taking taylor expansion of 1.0 in n 5.151 * [taylor]: Taking taylor expansion of (log n) in n 5.151 * [taylor]: Taking taylor expansion of n in n 5.210 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.210 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.210 * [taylor]: Taking taylor expansion of +nan.0 in n 5.210 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.210 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.210 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.210 * [taylor]: Taking taylor expansion of 0.5 in n 5.210 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.210 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.210 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.210 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.210 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.210 * [taylor]: Taking taylor expansion of 1.0 in n 5.210 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.210 * [taylor]: Taking taylor expansion of -2.0 in n 5.212 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.212 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.212 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.212 * [taylor]: Taking taylor expansion of 1.0 in n 5.212 * [taylor]: Taking taylor expansion of (log PI) in n 5.212 * [taylor]: Taking taylor expansion of PI in n 5.214 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.214 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.214 * [taylor]: Taking taylor expansion of 1.0 in n 5.214 * [taylor]: Taking taylor expansion of (log n) in n 5.214 * [taylor]: Taking taylor expansion of n in n 5.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 5.229 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.229 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.229 * [taylor]: Taking taylor expansion of 1.0 in k 5.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.229 * [taylor]: Taking taylor expansion of k in k 5.230 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.230 * [taylor]: Taking taylor expansion of 1.0 in k 5.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.230 * [taylor]: Taking taylor expansion of k in k 5.242 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.242 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.242 * [taylor]: Taking taylor expansion of 1.0 in k 5.242 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.242 * [taylor]: Taking taylor expansion of k in k 5.243 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.243 * [taylor]: Taking taylor expansion of 1.0 in k 5.243 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.243 * [taylor]: Taking taylor expansion of k in k 5.258 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.259 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.259 * [taylor]: Taking taylor expansion of 1.0 in k 5.259 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.259 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.259 * [taylor]: Taking taylor expansion of -1 in k 5.259 * [taylor]: Taking taylor expansion of k in k 5.260 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.260 * [taylor]: Taking taylor expansion of 1.0 in k 5.260 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.260 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.260 * [taylor]: Taking taylor expansion of -1 in k 5.260 * [taylor]: Taking taylor expansion of k in k 5.272 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.272 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.272 * [taylor]: Taking taylor expansion of 2.0 in n 5.272 * [taylor]: Taking taylor expansion of (* n PI) in n 5.272 * [taylor]: Taking taylor expansion of n in n 5.272 * [taylor]: Taking taylor expansion of PI in n 5.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.272 * [taylor]: Taking taylor expansion of 2.0 in n 5.272 * [taylor]: Taking taylor expansion of (* n PI) in n 5.272 * [taylor]: Taking taylor expansion of n in n 5.272 * [taylor]: Taking taylor expansion of PI in n 5.284 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.284 * [taylor]: Taking taylor expansion of 2.0 in n 5.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.284 * [taylor]: Taking taylor expansion of PI in n 5.284 * [taylor]: Taking taylor expansion of n in n 5.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.285 * [taylor]: Taking taylor expansion of 2.0 in n 5.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.285 * [taylor]: Taking taylor expansion of PI in n 5.285 * [taylor]: Taking taylor expansion of n in n 5.293 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.293 * [taylor]: Taking taylor expansion of -2.0 in n 5.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.293 * [taylor]: Taking taylor expansion of PI in n 5.293 * [taylor]: Taking taylor expansion of n in n 5.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.294 * [taylor]: Taking taylor expansion of -2.0 in n 5.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.294 * [taylor]: Taking taylor expansion of PI in n 5.294 * [taylor]: Taking taylor expansion of n in n 5.302 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 5.302 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.302 * [taylor]: Taking taylor expansion of 2.0 in n 5.302 * [taylor]: Taking taylor expansion of (* n PI) in n 5.302 * [taylor]: Taking taylor expansion of n in n 5.302 * [taylor]: Taking taylor expansion of PI in n 5.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.302 * [taylor]: Taking taylor expansion of 2.0 in n 5.302 * [taylor]: Taking taylor expansion of (* n PI) in n 5.302 * [taylor]: Taking taylor expansion of n in n 5.302 * [taylor]: Taking taylor expansion of PI in n 5.314 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.314 * [taylor]: Taking taylor expansion of 2.0 in n 5.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.314 * [taylor]: Taking taylor expansion of PI in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.315 * [taylor]: Taking taylor expansion of 2.0 in n 5.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.315 * [taylor]: Taking taylor expansion of PI in n 5.315 * [taylor]: Taking taylor expansion of n in n 5.323 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.323 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.323 * [taylor]: Taking taylor expansion of -2.0 in n 5.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.323 * [taylor]: Taking taylor expansion of PI in n 5.323 * [taylor]: Taking taylor expansion of n in n 5.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.324 * [taylor]: Taking taylor expansion of -2.0 in n 5.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.324 * [taylor]: Taking taylor expansion of PI in n 5.324 * [taylor]: Taking taylor expansion of n in n 5.338 * * * [progress]: simplifying candidates 5.340 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (/ 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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.348 * * [simplify]: iteration 0 : 608 enodes (cost 1054 ) 5.359 * * [simplify]: iteration 1 : 2498 enodes (cost 949 ) 5.404 * * [simplify]: iteration 2 : 5001 enodes (cost 932 ) 5.409 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (/ 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)) (/ (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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))) (fma (/ (- +nan.0) (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) k) (* +nan.0 (- (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (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))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.410 * * * [progress]: adding candidates to table 5.741 * [progress]: [Phase 3 of 3] Extracting. 5.741 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.744 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.744 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 5.789 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # # #) 5.839 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 5.883 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 5.927 * * * [regime]: Found split indices: #