10.888 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.163 * * * [progress]: [2/2] Setting up program. 0.166 * [progress]: [Phase 2 of 3] Improving. 0.166 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.168 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.169 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.171 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.173 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.180 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.202 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.202 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.202 * * [progress]: iteration 1 / 4 0.202 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.218 * * * [progress]: generating rewritten candidates 0.218 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.237 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.241 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.259 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.260 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.260 * [taylor]: Taking taylor expansion of 0.5 in k 0.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.260 * [taylor]: Taking taylor expansion of k in k 0.260 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.260 * [taylor]: Taking taylor expansion of 2.0 in k 0.260 * [taylor]: Taking taylor expansion of (* n PI) in k 0.260 * [taylor]: Taking taylor expansion of n in k 0.260 * [taylor]: Taking taylor expansion of PI in k 0.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.261 * [taylor]: Taking taylor expansion of 0.5 in n 0.261 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of k in n 0.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.261 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.261 * [taylor]: Taking taylor expansion of 2.0 in n 0.261 * [taylor]: Taking taylor expansion of (* n PI) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of PI in n 0.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.267 * [taylor]: Taking taylor expansion of 0.5 in n 0.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.267 * [taylor]: Taking taylor expansion of 1.0 in n 0.267 * [taylor]: Taking taylor expansion of k in n 0.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.267 * [taylor]: Taking taylor expansion of 2.0 in n 0.267 * [taylor]: Taking taylor expansion of (* n PI) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of PI in n 0.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.272 * [taylor]: Taking taylor expansion of 0.5 in k 0.272 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.272 * [taylor]: Taking taylor expansion of 1.0 in k 0.272 * [taylor]: Taking taylor expansion of k in k 0.273 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.273 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.273 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.273 * [taylor]: Taking taylor expansion of 2.0 in k 0.273 * [taylor]: Taking taylor expansion of PI in k 0.274 * [taylor]: Taking taylor expansion of (log n) in k 0.274 * [taylor]: Taking taylor expansion of n in k 0.283 * [taylor]: Taking taylor expansion of 0 in k 0.299 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.325 * [taylor]: Taking taylor expansion of 0.5 in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.325 * [taylor]: Taking taylor expansion of 2.0 in k 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.325 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.327 * [taylor]: Taking taylor expansion of 0.5 in n 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.327 * [taylor]: Taking taylor expansion of 1.0 in n 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.327 * [taylor]: Taking taylor expansion of k in n 0.327 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.327 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.335 * [taylor]: Taking taylor expansion of 0.5 in k 0.335 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.335 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.335 * [taylor]: Taking taylor expansion of 2.0 in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of (log n) in k 0.336 * [taylor]: Taking taylor expansion of n in k 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.345 * [taylor]: Taking taylor expansion of 0 in k 0.353 * [taylor]: Taking taylor expansion of 0 in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.363 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.364 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.364 * [taylor]: Taking taylor expansion of 0.5 in k 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.364 * [taylor]: Taking taylor expansion of -2.0 in k 0.364 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.364 * [taylor]: Taking taylor expansion of PI in k 0.364 * [taylor]: Taking taylor expansion of n in k 0.365 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.365 * [taylor]: Taking taylor expansion of 0.5 in n 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.365 * [taylor]: Taking taylor expansion of k in n 0.365 * [taylor]: Taking taylor expansion of 1.0 in n 0.365 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.365 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.365 * [taylor]: Taking taylor expansion of -2.0 in n 0.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.365 * [taylor]: Taking taylor expansion of PI in n 0.365 * [taylor]: Taking taylor expansion of n in n 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 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.373 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.373 * [taylor]: Taking taylor expansion of 0.5 in k 0.373 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.373 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of 1.0 in k 0.374 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.374 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.374 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.374 * [taylor]: Taking taylor expansion of -2.0 in k 0.374 * [taylor]: Taking taylor expansion of PI in k 0.375 * [taylor]: Taking taylor expansion of (log n) in k 0.375 * [taylor]: Taking taylor expansion of n in k 0.383 * [taylor]: Taking taylor expansion of 0 in k 0.390 * [taylor]: Taking taylor expansion of 0 in k 0.399 * [taylor]: Taking taylor expansion of 0 in k 0.400 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.401 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.420 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of 2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.421 * [taylor]: Taking taylor expansion of 2.0 in n 0.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.421 * [taylor]: Taking taylor expansion of PI in n 0.421 * [taylor]: Taking taylor expansion of n in n 0.430 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of -2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of -2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.439 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.439 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.452 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.453 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.464 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.464 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.464 * [taylor]: Taking taylor expansion of 1.0 in k 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.464 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.464 * [taylor]: Taking taylor expansion of -1 in k 0.464 * [taylor]: Taking taylor expansion of k in k 0.466 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.466 * [taylor]: Taking taylor expansion of 1.0 in k 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.466 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.466 * [taylor]: Taking taylor expansion of -1 in k 0.466 * [taylor]: Taking taylor expansion of k in k 0.478 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.479 * [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 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.479 * [taylor]: Taking taylor expansion of k in n 0.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.479 * [taylor]: Taking taylor expansion of 0.5 in n 0.479 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of k in n 0.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.479 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [taylor]: Taking taylor expansion of (* n PI) in n 0.479 * [taylor]: Taking taylor expansion of n in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.485 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.485 * [taylor]: Taking taylor expansion of 1.0 in k 0.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.485 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.486 * [taylor]: Taking taylor expansion of 0.5 in k 0.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.486 * [taylor]: Taking taylor expansion of 1.0 in k 0.486 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.486 * [taylor]: Taking taylor expansion of 2.0 in k 0.486 * [taylor]: Taking taylor expansion of (* n PI) in k 0.486 * [taylor]: Taking taylor expansion of n in k 0.486 * [taylor]: Taking taylor expansion of PI in k 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.487 * [taylor]: Taking taylor expansion of 1.0 in k 0.487 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.487 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.487 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.489 * [taylor]: Taking taylor expansion of 0.5 in k 0.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.489 * [taylor]: Taking taylor expansion of 1.0 in k 0.489 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.489 * [taylor]: Taking taylor expansion of 2.0 in k 0.489 * [taylor]: Taking taylor expansion of (* n PI) in k 0.489 * [taylor]: Taking taylor expansion of n in k 0.489 * [taylor]: Taking taylor expansion of PI in k 0.490 * [taylor]: Taking taylor expansion of 0 in n 0.502 * [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 0.502 * [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 0.502 * [taylor]: Taking taylor expansion of +nan.0 in n 0.502 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.502 * [taylor]: Taking taylor expansion of 0.5 in n 0.502 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.502 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (log PI) in n 0.502 * [taylor]: Taking taylor expansion of PI in n 0.504 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log n) in n 0.504 * [taylor]: Taking taylor expansion of n in n 0.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.505 * [taylor]: Taking taylor expansion of 2.0 in n 0.525 * [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 0.525 * [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 0.526 * [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 0.526 * [taylor]: Taking taylor expansion of +nan.0 in n 0.526 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.526 * [taylor]: Taking taylor expansion of 0.5 in n 0.526 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.526 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log PI) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.528 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log n) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.528 * [taylor]: Taking taylor expansion of 2.0 in n 0.534 * [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 0.534 * [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 0.534 * [taylor]: Taking taylor expansion of +nan.0 in n 0.534 * [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 0.534 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.534 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.534 * [taylor]: Taking taylor expansion of 0.5 in n 0.534 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.534 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.534 * [taylor]: Taking taylor expansion of 2.0 in n 0.536 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log PI) in n 0.536 * [taylor]: Taking taylor expansion of PI in n 0.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log n) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.542 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [taylor]: Taking taylor expansion of (* n PI) in n 0.542 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.598 * [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 0.598 * [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 0.598 * [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 0.598 * [taylor]: Taking taylor expansion of +nan.0 in n 0.598 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.598 * [taylor]: Taking taylor expansion of 0.5 in n 0.598 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.598 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.598 * [taylor]: Taking taylor expansion of 2.0 in n 0.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log n) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.601 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log PI) in n 0.601 * [taylor]: Taking taylor expansion of PI in n 0.607 * [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 0.607 * [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 0.607 * [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 0.607 * [taylor]: Taking taylor expansion of +nan.0 in n 0.607 * [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 0.607 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.607 * [taylor]: Taking taylor expansion of 0.5 in n 0.607 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.607 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.607 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.607 * [taylor]: Taking taylor expansion of 1.0 in n 0.607 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.607 * [taylor]: Taking taylor expansion of 2.0 in n 0.609 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.609 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log PI) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log n) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (* n PI) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.619 * [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 0.619 * [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 0.619 * [taylor]: Taking taylor expansion of +nan.0 in n 0.619 * [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 0.619 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.619 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.619 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (log PI) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (log n) in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.627 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* n PI) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.707 * [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 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.707 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.707 * [taylor]: Taking taylor expansion of 2.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.712 * [taylor]: Taking taylor expansion of 0.5 in k 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.712 * [taylor]: Taking taylor expansion of 1.0 in k 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.712 * [taylor]: Taking taylor expansion of k in k 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.713 * [taylor]: Taking taylor expansion of 2.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.713 * [taylor]: Taking taylor expansion of PI in k 0.713 * [taylor]: Taking taylor expansion of n in k 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.714 * [taylor]: Taking taylor expansion of 1.0 in k 0.714 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.714 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.714 * [taylor]: Taking taylor expansion of k in k 0.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.715 * [taylor]: Taking taylor expansion of 0.5 in k 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of 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 (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 0.717 * [taylor]: Taking taylor expansion of 0 in n 0.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.718 * [taylor]: Taking taylor expansion of +nan.0 in n 0.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.718 * [taylor]: Taking taylor expansion of 0.5 in n 0.718 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.718 * [taylor]: Taking taylor expansion of 2.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.718 * [taylor]: Taking taylor expansion of PI in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.719 * [taylor]: Taking taylor expansion of 1.0 in n 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.719 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.728 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.728 * [taylor]: Taking taylor expansion of +nan.0 in n 0.728 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.728 * [taylor]: Taking taylor expansion of 0.5 in n 0.728 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.728 * [taylor]: Taking taylor expansion of 2.0 in n 0.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.728 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.729 * [taylor]: Taking taylor expansion of 1.0 in n 0.729 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.729 * [taylor]: Taking taylor expansion of k in n 0.746 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.746 * [taylor]: Taking taylor expansion of +nan.0 in n 0.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.746 * [taylor]: Taking taylor expansion of 2.0 in n 0.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.746 * [taylor]: Taking taylor expansion of PI in n 0.747 * [taylor]: Taking taylor expansion of n in n 0.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.748 * [taylor]: Taking taylor expansion of 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 0.757 * [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 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.757 * [taylor]: Taking taylor expansion of 1.0 in n 0.757 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.757 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.757 * [taylor]: Taking taylor expansion of 0.5 in n 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.757 * [taylor]: Taking taylor expansion of k in n 0.757 * [taylor]: Taking taylor expansion of 1.0 in n 0.757 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.757 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.757 * [taylor]: Taking taylor expansion of -2.0 in n 0.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.757 * [taylor]: Taking taylor expansion of PI in n 0.757 * [taylor]: Taking taylor expansion of n in n 0.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.761 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.761 * [taylor]: Taking taylor expansion of -1 in n 0.761 * [taylor]: Taking taylor expansion of k in n 0.762 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.762 * [taylor]: Taking taylor expansion of 1.0 in k 0.762 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.762 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.762 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.762 * [taylor]: Taking taylor expansion of 0.5 in k 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.762 * [taylor]: Taking taylor expansion of k in k 0.762 * [taylor]: Taking taylor expansion of 1.0 in k 0.762 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.762 * [taylor]: Taking taylor expansion of -2.0 in k 0.762 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.762 * [taylor]: Taking taylor expansion of PI in k 0.762 * [taylor]: Taking taylor expansion of n in k 0.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.763 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.763 * [taylor]: Taking taylor expansion of -1 in k 0.763 * [taylor]: Taking taylor expansion of k in k 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.765 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.765 * [taylor]: Taking taylor expansion of 0.5 in k 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.765 * [taylor]: Taking taylor expansion of k in k 0.765 * [taylor]: Taking taylor expansion of 1.0 in k 0.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.765 * [taylor]: Taking taylor expansion of -2.0 in k 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.765 * [taylor]: Taking taylor expansion of PI in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.766 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.766 * [taylor]: Taking taylor expansion of -1 in k 0.766 * [taylor]: Taking taylor expansion of k in k 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.768 * [taylor]: Taking taylor expansion of +nan.0 in n 0.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.768 * [taylor]: Taking taylor expansion of 0.5 in n 0.768 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.768 * [taylor]: Taking taylor expansion of k in n 0.768 * [taylor]: Taking taylor expansion of 1.0 in n 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.768 * [taylor]: Taking taylor expansion of -2.0 in n 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.768 * [taylor]: Taking taylor expansion of PI in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.782 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.782 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.782 * [taylor]: Taking taylor expansion of +nan.0 in n 0.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.783 * [taylor]: Taking taylor expansion of 0.5 in n 0.783 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.783 * [taylor]: Taking taylor expansion of k in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.783 * [taylor]: Taking taylor expansion of -2.0 in n 0.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.783 * [taylor]: Taking taylor expansion of PI in n 0.783 * [taylor]: Taking taylor expansion of n in n 0.801 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.801 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.801 * [taylor]: Taking taylor expansion of +nan.0 in n 0.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.801 * [taylor]: Taking taylor expansion of 0.5 in n 0.801 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.801 * [taylor]: Taking taylor expansion of k in n 0.801 * [taylor]: Taking taylor expansion of 1.0 in n 0.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.801 * [taylor]: Taking taylor expansion of -2.0 in n 0.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.801 * [taylor]: Taking taylor expansion of PI in n 0.801 * [taylor]: Taking taylor expansion of n in n 0.811 * * * [progress]: simplifying candidates 0.813 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.910 * * * [progress]: adding candidates to table 1.277 * * [progress]: iteration 2 / 4 1.277 * * * [progress]: picking best candidate 1.312 * * * * [pick]: Picked # 1.312 * * * [progress]: localizing error 1.331 * * * [progress]: generating rewritten candidates 1.331 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.355 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.369 * * * [progress]: generating series expansions 1.369 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.370 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 1.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.370 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.370 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.370 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.370 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.371 * [taylor]: Taking taylor expansion of k in k 1.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.372 * [taylor]: Taking taylor expansion of 1.0 in k 1.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.372 * [taylor]: Taking taylor expansion of 2.0 in k 1.372 * [taylor]: Taking taylor expansion of (* n PI) in k 1.373 * [taylor]: Taking taylor expansion of n in k 1.373 * [taylor]: Taking taylor expansion of PI in k 1.374 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.374 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.374 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.374 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.374 * [taylor]: Taking taylor expansion of 1.0 in n 1.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.375 * [taylor]: Taking taylor expansion of 2.0 in n 1.375 * [taylor]: Taking taylor expansion of (* n PI) in n 1.375 * [taylor]: Taking taylor expansion of n in n 1.375 * [taylor]: Taking taylor expansion of PI in n 1.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.381 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.381 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.381 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.381 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.381 * [taylor]: Taking taylor expansion of k in n 1.381 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.381 * [taylor]: Taking taylor expansion of 1.0 in n 1.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.382 * [taylor]: Taking taylor expansion of 2.0 in n 1.382 * [taylor]: Taking taylor expansion of (* n PI) in n 1.382 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of PI in n 1.388 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 1.388 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 1.388 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.388 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.388 * [taylor]: Taking taylor expansion of 2.0 in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.389 * [taylor]: Taking taylor expansion of (log n) in k 1.389 * [taylor]: Taking taylor expansion of n in k 1.389 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.389 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.389 * [taylor]: Taking taylor expansion of k in k 1.391 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.391 * [taylor]: Taking taylor expansion of 1.0 in k 1.406 * [taylor]: Taking taylor expansion of 0 in k 1.422 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 1.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.448 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.448 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.448 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.448 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.448 * [taylor]: Taking taylor expansion of 1.0 in k 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.449 * [taylor]: Taking taylor expansion of k in k 1.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.450 * [taylor]: Taking taylor expansion of 2.0 in k 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.450 * [taylor]: Taking taylor expansion of PI in k 1.450 * [taylor]: Taking taylor expansion of n in k 1.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.453 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.453 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.453 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.453 * [taylor]: Taking taylor expansion of 1.0 in n 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.454 * [taylor]: Taking taylor expansion of k in n 1.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.454 * [taylor]: Taking taylor expansion of 2.0 in n 1.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.454 * [taylor]: Taking taylor expansion of PI in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.459 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.459 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.459 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.459 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.459 * [taylor]: Taking taylor expansion of 1.0 in n 1.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.459 * [taylor]: Taking taylor expansion of k in n 1.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.460 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.460 * [taylor]: Taking taylor expansion of 2.0 in n 1.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.460 * [taylor]: Taking taylor expansion of PI in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.464 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.464 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.464 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.464 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.464 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.464 * [taylor]: Taking taylor expansion of 2.0 in k 1.464 * [taylor]: Taking taylor expansion of PI in k 1.465 * [taylor]: Taking taylor expansion of (log n) in k 1.465 * [taylor]: Taking taylor expansion of n in k 1.466 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.466 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.485 * [taylor]: Taking taylor expansion of 0 in k 1.515 * [taylor]: Taking taylor expansion of 0 in k 1.553 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 1.553 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 1.553 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 1.553 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.553 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.553 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.553 * [taylor]: Taking taylor expansion of -1 in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.554 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.554 * [taylor]: Taking taylor expansion of 1.0 in k 1.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.555 * [taylor]: Taking taylor expansion of -2.0 in k 1.555 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.555 * [taylor]: Taking taylor expansion of PI in k 1.555 * [taylor]: Taking taylor expansion of n in k 1.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.558 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.558 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.558 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.558 * [taylor]: Taking taylor expansion of -1 in n 1.558 * [taylor]: Taking taylor expansion of k in n 1.559 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.559 * [taylor]: Taking taylor expansion of 1.0 in n 1.559 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.559 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.559 * [taylor]: Taking taylor expansion of -2.0 in n 1.559 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.559 * [taylor]: Taking taylor expansion of PI in n 1.559 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 1.564 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 1.564 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 1.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.564 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.564 * [taylor]: Taking taylor expansion of -1 in n 1.564 * [taylor]: Taking taylor expansion of k in n 1.564 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.564 * [taylor]: Taking taylor expansion of 1.0 in n 1.565 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.565 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.565 * [taylor]: Taking taylor expansion of -2.0 in n 1.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.565 * [taylor]: Taking taylor expansion of PI in n 1.565 * [taylor]: Taking taylor expansion of n in n 1.569 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 1.569 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 1.569 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 1.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.569 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.569 * [taylor]: Taking taylor expansion of -1 in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.571 * [taylor]: Taking taylor expansion of 1.0 in k 1.572 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.572 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.572 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.572 * [taylor]: Taking taylor expansion of -2.0 in k 1.572 * [taylor]: Taking taylor expansion of PI in k 1.573 * [taylor]: Taking taylor expansion of (log n) in k 1.573 * [taylor]: Taking taylor expansion of n in k 1.596 * [taylor]: Taking taylor expansion of 0 in k 1.622 * [taylor]: Taking taylor expansion of 0 in k 1.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.671 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 1.671 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 1.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 1.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 1.671 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 1.671 * [taylor]: Taking taylor expansion of 0.5 in k 1.671 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.671 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.671 * [taylor]: Taking taylor expansion of 1.0 in k 1.672 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.672 * [taylor]: Taking taylor expansion of k in k 1.673 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 1.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 1.673 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 1.673 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 1.673 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.673 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.673 * [taylor]: Taking taylor expansion of k in k 1.674 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.675 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.675 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.675 * [taylor]: Taking taylor expansion of 2.0 in k 1.675 * [taylor]: Taking taylor expansion of (* n PI) in k 1.675 * [taylor]: Taking taylor expansion of n in k 1.675 * [taylor]: Taking taylor expansion of PI in k 1.679 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.680 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.680 * [taylor]: Taking taylor expansion of 0.5 in n 1.680 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.680 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.680 * [taylor]: Taking taylor expansion of 1.0 in n 1.680 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.680 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.681 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.681 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.681 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.681 * [taylor]: Taking taylor expansion of k in n 1.681 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.681 * [taylor]: Taking taylor expansion of 2.0 in n 1.681 * [taylor]: Taking taylor expansion of (* n PI) in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.692 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 1.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 1.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 1.692 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 1.692 * [taylor]: Taking taylor expansion of 0.5 in n 1.692 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 1.692 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.692 * [taylor]: Taking taylor expansion of 1.0 in n 1.693 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.693 * [taylor]: Taking taylor expansion of k in n 1.693 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 1.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 1.693 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 1.693 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 1.693 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.693 * [taylor]: Taking taylor expansion of k in n 1.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.693 * [taylor]: Taking taylor expansion of 1.0 in n 1.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.694 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.694 * [taylor]: Taking taylor expansion of 2.0 in n 1.694 * [taylor]: Taking taylor expansion of (* n PI) in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.694 * [taylor]: Taking taylor expansion of PI in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 1.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 1.704 * [taylor]: Taking taylor expansion of 0.5 in k 1.704 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 1.704 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.704 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.704 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.704 * [taylor]: Taking taylor expansion of 2.0 in k 1.704 * [taylor]: Taking taylor expansion of PI in k 1.705 * [taylor]: Taking taylor expansion of (log n) in k 1.705 * [taylor]: Taking taylor expansion of n in k 1.705 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 1.705 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 1.705 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.705 * [taylor]: Taking taylor expansion of k in k 1.706 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.706 * [taylor]: Taking taylor expansion of 1.0 in k 1.707 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 1.707 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.707 * [taylor]: Taking taylor expansion of 1.0 in k 1.708 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.708 * [taylor]: Taking taylor expansion of k in k 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.770 * [taylor]: Taking taylor expansion of 0 in k 1.831 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 1.831 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.831 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.831 * [taylor]: Taking taylor expansion of 0.5 in k 1.831 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.831 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.831 * [taylor]: Taking taylor expansion of 1.0 in k 1.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.832 * [taylor]: Taking taylor expansion of k in k 1.833 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.833 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.833 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.833 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.833 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.833 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.833 * [taylor]: Taking taylor expansion of 1.0 in k 1.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.834 * [taylor]: Taking taylor expansion of k in k 1.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.835 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.835 * [taylor]: Taking taylor expansion of 2.0 in k 1.835 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.835 * [taylor]: Taking taylor expansion of PI in k 1.835 * [taylor]: Taking taylor expansion of n in k 1.859 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.860 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.860 * [taylor]: Taking taylor expansion of 0.5 in n 1.860 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.860 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.860 * [taylor]: Taking taylor expansion of 1.0 in n 1.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.860 * [taylor]: Taking taylor expansion of k in n 1.861 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.861 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.861 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.861 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.861 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.861 * [taylor]: Taking taylor expansion of 1.0 in n 1.861 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.861 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.861 * [taylor]: Taking taylor expansion of k in n 1.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.862 * [taylor]: Taking taylor expansion of 2.0 in n 1.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.862 * [taylor]: Taking taylor expansion of PI in n 1.862 * [taylor]: Taking taylor expansion of n in n 1.870 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 1.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.870 * [taylor]: Taking taylor expansion of 0.5 in n 1.870 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 1.870 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.870 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.871 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 1.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.871 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.871 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 1.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.872 * [taylor]: Taking taylor expansion of k in n 1.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.872 * [taylor]: Taking taylor expansion of 2.0 in n 1.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.872 * [taylor]: Taking taylor expansion of PI in n 1.872 * [taylor]: Taking taylor expansion of n in n 1.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 1.881 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 1.881 * [taylor]: Taking taylor expansion of 0.5 in k 1.881 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 1.881 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.881 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.881 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.881 * [taylor]: Taking taylor expansion of 2.0 in k 1.881 * [taylor]: Taking taylor expansion of PI in k 1.882 * [taylor]: Taking taylor expansion of (log n) in k 1.882 * [taylor]: Taking taylor expansion of n in k 1.882 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 1.882 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 1.882 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.882 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.883 * [taylor]: Taking taylor expansion of k in k 1.884 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 1.885 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.885 * [taylor]: Taking taylor expansion of 1.0 in k 1.885 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.885 * [taylor]: Taking taylor expansion of k in k 1.949 * [taylor]: Taking taylor expansion of 0 in k 2.026 * [taylor]: Taking taylor expansion of 0 in k 2.167 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 2.167 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 2.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 2.167 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.167 * [taylor]: Taking taylor expansion of 0.5 in k 2.167 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.167 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.167 * [taylor]: Taking taylor expansion of 1.0 in k 2.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.168 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.168 * [taylor]: Taking taylor expansion of -1 in k 2.168 * [taylor]: Taking taylor expansion of k in k 2.169 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 2.169 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 2.170 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 2.170 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 2.170 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.170 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.170 * [taylor]: Taking taylor expansion of -1 in k 2.170 * [taylor]: Taking taylor expansion of k in k 2.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.171 * [taylor]: Taking taylor expansion of 1.0 in k 2.172 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.172 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.172 * [taylor]: Taking taylor expansion of -2.0 in k 2.172 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.172 * [taylor]: Taking taylor expansion of PI in k 2.172 * [taylor]: Taking taylor expansion of n in k 2.189 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.189 * [taylor]: Taking taylor expansion of 0.5 in n 2.189 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.189 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.189 * [taylor]: Taking taylor expansion of 1.0 in n 2.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.196 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.196 * [taylor]: Taking taylor expansion of -1 in n 2.196 * [taylor]: Taking taylor expansion of k in n 2.196 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.196 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.196 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.196 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.196 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.196 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.196 * [taylor]: Taking taylor expansion of -1 in n 2.196 * [taylor]: Taking taylor expansion of k in n 2.197 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.197 * [taylor]: Taking taylor expansion of 1.0 in n 2.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.197 * [taylor]: Taking taylor expansion of -2.0 in n 2.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.197 * [taylor]: Taking taylor expansion of PI in n 2.197 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 2.206 * [taylor]: Taking taylor expansion of 0.5 in n 2.206 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 2.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.206 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.207 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.207 * [taylor]: Taking taylor expansion of -1 in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 2.207 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 2.207 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 2.207 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 2.207 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.207 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.207 * [taylor]: Taking taylor expansion of -1 in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.208 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.208 * [taylor]: Taking taylor expansion of -2.0 in n 2.208 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.208 * [taylor]: Taking taylor expansion of n in n 2.217 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 2.217 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 2.217 * [taylor]: Taking taylor expansion of 0.5 in k 2.217 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 2.217 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 2.217 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.217 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.217 * [taylor]: Taking taylor expansion of -1 in k 2.217 * [taylor]: Taking taylor expansion of k in k 2.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.218 * [taylor]: Taking taylor expansion of 1.0 in k 2.219 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 2.219 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.219 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.219 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.219 * [taylor]: Taking taylor expansion of -2.0 in k 2.219 * [taylor]: Taking taylor expansion of PI in k 2.220 * [taylor]: Taking taylor expansion of (log n) in k 2.220 * [taylor]: Taking taylor expansion of n in k 2.220 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 2.220 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.220 * [taylor]: Taking taylor expansion of 1.0 in k 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.221 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.221 * [taylor]: Taking taylor expansion of -1 in k 2.221 * [taylor]: Taking taylor expansion of k in k 2.289 * [taylor]: Taking taylor expansion of 0 in k 2.362 * [taylor]: Taking taylor expansion of 0 in k 2.516 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.516 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.516 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.516 * [taylor]: Taking taylor expansion of 2.0 in n 2.516 * [taylor]: Taking taylor expansion of (* n PI) in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.516 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.516 * [taylor]: Taking taylor expansion of 2.0 in n 2.516 * [taylor]: Taking taylor expansion of (* n PI) in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.529 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.529 * [taylor]: Taking taylor expansion of 2.0 in n 2.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.529 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.529 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.529 * [taylor]: Taking taylor expansion of 2.0 in n 2.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.529 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.545 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of -2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of -2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.554 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.554 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.554 * [taylor]: Taking taylor expansion of 1.0 in k 2.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.554 * [taylor]: Taking taylor expansion of k in k 2.556 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.556 * [taylor]: Taking taylor expansion of 1.0 in k 2.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.556 * [taylor]: Taking taylor expansion of k in k 2.568 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.568 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.568 * [taylor]: Taking taylor expansion of 1.0 in k 2.568 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.568 * [taylor]: Taking taylor expansion of k in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.569 * [taylor]: Taking taylor expansion of k in k 2.580 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.580 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.580 * [taylor]: Taking taylor expansion of 1.0 in k 2.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.580 * [taylor]: Taking taylor expansion of -1 in k 2.580 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.581 * [taylor]: Taking taylor expansion of 1.0 in k 2.581 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.581 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.581 * [taylor]: Taking taylor expansion of -1 in k 2.581 * [taylor]: Taking taylor expansion of k in k 2.593 * * * [progress]: simplifying candidates 2.596 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt (- (sqrt 1.0) (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (+ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1) 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ 1 1)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) 1) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (- (sqrt 1.0) (sqrt k))) (pow (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow 1 (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (log (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (exp (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (cbrt (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (* (* (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) 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PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) 2.669 * * * [progress]: adding candidates to table 3.163 * * [progress]: iteration 3 / 4 3.163 * * * [progress]: picking best candidate 3.190 * * * * [pick]: Picked # 3.190 * * * [progress]: localizing error 3.209 * * * [progress]: generating rewritten candidates 3.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.224 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 3.229 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.246 * * * [progress]: generating series expansions 3.246 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.247 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.247 * [taylor]: Taking taylor expansion of 0.5 in n 3.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.247 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.247 * [taylor]: Taking taylor expansion of 2.0 in n 3.247 * [taylor]: Taking taylor expansion of (* n PI) in n 3.247 * [taylor]: Taking taylor expansion of n in n 3.247 * [taylor]: Taking taylor expansion of PI in n 3.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.253 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.253 * [taylor]: Taking taylor expansion of 0.5 in n 3.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.253 * [taylor]: Taking taylor expansion of 2.0 in n 3.253 * [taylor]: Taking taylor expansion of (* n PI) in n 3.253 * [taylor]: Taking taylor expansion of n in n 3.253 * [taylor]: Taking taylor expansion of PI in n 3.339 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.340 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.340 * [taylor]: Taking taylor expansion of 0.5 in n 3.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.340 * [taylor]: Taking taylor expansion of 2.0 in n 3.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.340 * [taylor]: Taking taylor expansion of PI in n 3.340 * [taylor]: Taking taylor expansion of n in n 3.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.343 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.343 * [taylor]: Taking taylor expansion of 0.5 in n 3.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.343 * [taylor]: Taking taylor expansion of 2.0 in n 3.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.343 * [taylor]: Taking taylor expansion of PI in n 3.343 * [taylor]: Taking taylor expansion of n in n 3.427 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.427 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.427 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.427 * [taylor]: Taking taylor expansion of 0.5 in n 3.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.427 * [taylor]: Taking taylor expansion of -2.0 in n 3.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.427 * [taylor]: Taking taylor expansion of PI in n 3.427 * [taylor]: Taking taylor expansion of n in n 3.430 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.430 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.431 * [taylor]: Taking taylor expansion of 0.5 in n 3.431 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.431 * [taylor]: Taking taylor expansion of -2.0 in n 3.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.431 * [taylor]: Taking taylor expansion of PI in n 3.431 * [taylor]: Taking taylor expansion of n in n 3.512 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.513 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.513 * [taylor]: Taking taylor expansion of 2.0 in n 3.513 * [taylor]: Taking taylor expansion of (* n PI) in n 3.513 * [taylor]: Taking taylor expansion of n in n 3.513 * [taylor]: Taking taylor expansion of PI in n 3.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.513 * [taylor]: Taking taylor expansion of 2.0 in n 3.513 * [taylor]: Taking taylor expansion of (* n PI) in n 3.513 * [taylor]: Taking taylor expansion of n in n 3.513 * [taylor]: Taking taylor expansion of PI in n 3.525 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.526 * [taylor]: Taking taylor expansion of 2.0 in n 3.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.526 * [taylor]: Taking taylor expansion of PI in n 3.526 * [taylor]: Taking taylor expansion of n in n 3.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.526 * [taylor]: Taking taylor expansion of 2.0 in n 3.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.526 * [taylor]: Taking taylor expansion of PI in n 3.526 * [taylor]: Taking taylor expansion of n in n 3.535 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.535 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.535 * [taylor]: Taking taylor expansion of -2.0 in n 3.535 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.535 * [taylor]: Taking taylor expansion of PI in n 3.535 * [taylor]: Taking taylor expansion of n in n 3.535 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.536 * [taylor]: Taking taylor expansion of -2.0 in n 3.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.536 * [taylor]: Taking taylor expansion of PI in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.550 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.550 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.550 * [taylor]: Taking taylor expansion of 2.0 in n 3.550 * [taylor]: Taking taylor expansion of (* n PI) in n 3.550 * [taylor]: Taking taylor expansion of n in n 3.550 * [taylor]: Taking taylor expansion of PI in n 3.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.551 * [taylor]: Taking taylor expansion of 2.0 in n 3.551 * [taylor]: Taking taylor expansion of (* n PI) in n 3.551 * [taylor]: Taking taylor expansion of n in n 3.551 * [taylor]: Taking taylor expansion of PI in n 3.563 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.563 * [taylor]: Taking taylor expansion of 2.0 in n 3.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.563 * [taylor]: Taking taylor expansion of PI in n 3.563 * [taylor]: Taking taylor expansion of n in n 3.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.564 * [taylor]: Taking taylor expansion of 2.0 in n 3.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.564 * [taylor]: Taking taylor expansion of PI in n 3.564 * [taylor]: Taking taylor expansion of n in n 3.573 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.573 * [taylor]: Taking taylor expansion of -2.0 in n 3.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.573 * [taylor]: Taking taylor expansion of PI in n 3.573 * [taylor]: Taking taylor expansion of n in n 3.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.573 * [taylor]: Taking taylor expansion of -2.0 in n 3.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.573 * [taylor]: Taking taylor expansion of PI in n 3.573 * [taylor]: Taking taylor expansion of n in n 3.582 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.583 * [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 3.583 * [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 3.583 * [taylor]: Taking taylor expansion of 1.0 in k 3.583 * [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 3.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.583 * [taylor]: Taking taylor expansion of k in k 3.585 * [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 3.585 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.585 * [taylor]: Taking taylor expansion of 0.5 in k 3.585 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.585 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.585 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.585 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.585 * [taylor]: Taking taylor expansion of 1.0 in k 3.585 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.585 * [taylor]: Taking taylor expansion of 2.0 in k 3.587 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.587 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.587 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.587 * [taylor]: Taking taylor expansion of 1.0 in k 3.587 * [taylor]: Taking taylor expansion of (log n) in k 3.587 * [taylor]: Taking taylor expansion of n in k 3.587 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.587 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.587 * [taylor]: Taking taylor expansion of 1.0 in k 3.587 * [taylor]: Taking taylor expansion of (log PI) in k 3.587 * [taylor]: Taking taylor expansion of PI in k 3.593 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.593 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.593 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.593 * [taylor]: Taking taylor expansion of 0.5 in k 3.593 * [taylor]: Taking taylor expansion of k in k 3.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.593 * [taylor]: Taking taylor expansion of 2.0 in k 3.593 * [taylor]: Taking taylor expansion of (* n PI) in k 3.593 * [taylor]: Taking taylor expansion of n in k 3.593 * [taylor]: Taking taylor expansion of PI in k 3.596 * [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 3.596 * [taylor]: Taking taylor expansion of 1.0 in n 3.596 * [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 3.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.596 * [taylor]: Taking taylor expansion of k in n 3.596 * [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 3.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.596 * [taylor]: Taking taylor expansion of 0.5 in n 3.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.596 * [taylor]: Taking taylor expansion of 1.0 in n 3.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.596 * [taylor]: Taking taylor expansion of 2.0 in n 3.598 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.598 * [taylor]: Taking taylor expansion of 1.0 in n 3.598 * [taylor]: Taking taylor expansion of (log n) in n 3.598 * [taylor]: Taking taylor expansion of n in n 3.599 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.599 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.599 * [taylor]: Taking taylor expansion of 1.0 in n 3.599 * [taylor]: Taking taylor expansion of (log PI) in n 3.599 * [taylor]: Taking taylor expansion of PI in n 3.604 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.604 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.604 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.604 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.604 * [taylor]: Taking taylor expansion of 0.5 in n 3.604 * [taylor]: Taking taylor expansion of k in n 3.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.604 * [taylor]: Taking taylor expansion of 2.0 in n 3.604 * [taylor]: Taking taylor expansion of (* n PI) in n 3.604 * [taylor]: Taking taylor expansion of n in n 3.605 * [taylor]: Taking taylor expansion of PI in n 3.611 * [taylor]: Taking taylor expansion of (* 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 3.611 * [taylor]: Taking taylor expansion of 1.0 in n 3.611 * [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 3.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.611 * [taylor]: Taking taylor expansion of k in n 3.611 * [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 3.611 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.611 * [taylor]: Taking taylor expansion of 0.5 in n 3.611 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.611 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.611 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.611 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.611 * [taylor]: Taking taylor expansion of 1.0 in n 3.611 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.611 * [taylor]: Taking taylor expansion of 2.0 in n 3.613 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.613 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.613 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.613 * [taylor]: Taking taylor expansion of 1.0 in n 3.613 * [taylor]: Taking taylor expansion of (log n) in n 3.613 * [taylor]: Taking taylor expansion of n in n 3.614 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.614 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.614 * [taylor]: Taking taylor expansion of 1.0 in n 3.614 * [taylor]: Taking taylor expansion of (log PI) in n 3.614 * [taylor]: Taking taylor expansion of PI in n 3.620 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.620 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.620 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.620 * [taylor]: Taking taylor expansion of 0.5 in n 3.620 * [taylor]: Taking taylor expansion of k in n 3.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.620 * [taylor]: Taking taylor expansion of 2.0 in n 3.620 * [taylor]: Taking taylor expansion of (* n PI) in n 3.620 * [taylor]: Taking taylor expansion of n in n 3.620 * [taylor]: Taking taylor expansion of PI in n 3.631 * [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 3.631 * [taylor]: Taking taylor expansion of 1.0 in k 3.631 * [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 3.631 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.631 * [taylor]: Taking taylor expansion of k in k 3.633 * [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 3.633 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.633 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.633 * [taylor]: Taking taylor expansion of 0.5 in k 3.633 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.633 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.633 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.633 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.633 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.633 * [taylor]: Taking taylor expansion of 1.0 in k 3.633 * [taylor]: Taking taylor expansion of (log PI) in k 3.633 * [taylor]: Taking taylor expansion of PI in k 3.641 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.641 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.641 * [taylor]: Taking taylor expansion of 1.0 in k 3.641 * [taylor]: Taking taylor expansion of (log n) in k 3.641 * [taylor]: Taking taylor expansion of n in k 3.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.642 * [taylor]: Taking taylor expansion of 2.0 in k 3.647 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.647 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.647 * [taylor]: Taking taylor expansion of 0.5 in k 3.647 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.647 * [taylor]: Taking taylor expansion of k in k 3.647 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.647 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.647 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.647 * [taylor]: Taking taylor expansion of 2.0 in k 3.647 * [taylor]: Taking taylor expansion of PI in k 3.648 * [taylor]: Taking taylor expansion of (log n) in k 3.648 * [taylor]: Taking taylor expansion of n in k 3.679 * [taylor]: Taking taylor expansion of 0 in k 3.738 * [taylor]: Taking taylor expansion of 0 in k 3.840 * [taylor]: Taking taylor expansion of 0 in k 3.959 * [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 3.959 * [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 3.959 * [taylor]: Taking taylor expansion of 1.0 in k 3.959 * [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 3.959 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.959 * [taylor]: Taking taylor expansion of k in k 3.960 * [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 3.960 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.960 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.960 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.960 * [taylor]: Taking taylor expansion of 0.5 in k 3.960 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.960 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.960 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.960 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.960 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.960 * [taylor]: Taking taylor expansion of 1.0 in k 3.960 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.960 * [taylor]: Taking taylor expansion of 2.0 in k 3.962 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.962 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.962 * [taylor]: Taking taylor expansion of 1.0 in k 3.962 * [taylor]: Taking taylor expansion of (log PI) in k 3.962 * [taylor]: Taking taylor expansion of PI in k 3.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.964 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.964 * [taylor]: Taking taylor expansion of 1.0 in k 3.964 * [taylor]: Taking taylor expansion of (log n) in k 3.964 * [taylor]: Taking taylor expansion of n in k 3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.971 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.971 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.971 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.971 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.971 * [taylor]: Taking taylor expansion of 0.5 in k 3.971 * [taylor]: Taking taylor expansion of k in k 3.971 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.971 * [taylor]: Taking taylor expansion of 2.0 in k 3.971 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.971 * [taylor]: Taking taylor expansion of PI in k 3.971 * [taylor]: Taking taylor expansion of n in k 3.972 * [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 3.972 * [taylor]: Taking taylor expansion of 1.0 in n 3.972 * [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 3.972 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.972 * [taylor]: Taking taylor expansion of k in n 3.972 * [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 3.972 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.972 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.972 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.972 * [taylor]: Taking taylor expansion of 0.5 in n 3.972 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.972 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.972 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.972 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.972 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.972 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.972 * [taylor]: Taking taylor expansion of 1.0 in n 3.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.972 * [taylor]: Taking taylor expansion of 2.0 in n 3.974 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.974 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.974 * [taylor]: Taking taylor expansion of 1.0 in n 3.974 * [taylor]: Taking taylor expansion of (log PI) in n 3.974 * [taylor]: Taking taylor expansion of PI in n 3.976 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.976 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.976 * [taylor]: Taking taylor expansion of 1.0 in n 3.976 * [taylor]: Taking taylor expansion of (log n) in n 3.976 * [taylor]: Taking taylor expansion of n in n 3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.983 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.983 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.983 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.983 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.983 * [taylor]: Taking taylor expansion of 0.5 in n 3.983 * [taylor]: Taking taylor expansion of k in n 3.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.983 * [taylor]: Taking taylor expansion of 2.0 in n 3.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.983 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of n in n 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.988 * [taylor]: Taking taylor expansion of k in n 3.988 * [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 3.988 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.988 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.988 * [taylor]: Taking taylor expansion of 0.5 in n 3.988 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.988 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.988 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.988 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.988 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.988 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.988 * [taylor]: Taking taylor expansion of 2.0 in n 3.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.990 * [taylor]: Taking taylor expansion of 1.0 in n 3.990 * [taylor]: Taking taylor expansion of (log PI) in n 3.990 * [taylor]: Taking taylor expansion of PI in n 3.997 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.997 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.997 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.997 * [taylor]: Taking taylor expansion of 1.0 in n 3.997 * [taylor]: Taking taylor expansion of (log n) in n 3.997 * [taylor]: Taking taylor expansion of n in n 4.004 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.004 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.004 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.004 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.004 * [taylor]: Taking taylor expansion of 0.5 in n 4.004 * [taylor]: Taking taylor expansion of k in n 4.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.005 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.005 * [taylor]: Taking taylor expansion of 2.0 in n 4.005 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.005 * [taylor]: Taking taylor expansion of PI in n 4.005 * [taylor]: Taking taylor expansion of n in n 4.015 * [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 4.015 * [taylor]: Taking taylor expansion of 1.0 in k 4.015 * [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 4.015 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.015 * [taylor]: Taking taylor expansion of k in k 4.016 * [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 4.016 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.016 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.016 * [taylor]: Taking taylor expansion of 0.5 in k 4.016 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.016 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.016 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.016 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.016 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.017 * [taylor]: Taking taylor expansion of 1.0 in k 4.017 * [taylor]: Taking taylor expansion of (log PI) in k 4.017 * [taylor]: Taking taylor expansion of PI in k 4.018 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.019 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.019 * [taylor]: Taking taylor expansion of 1.0 in k 4.019 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.019 * [taylor]: Taking taylor expansion of 2.0 in k 4.020 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.020 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.020 * [taylor]: Taking taylor expansion of 1.0 in k 4.020 * [taylor]: Taking taylor expansion of (log n) in k 4.020 * [taylor]: Taking taylor expansion of n in k 4.028 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 4.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.028 * [taylor]: Taking taylor expansion of 0.5 in k 4.028 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.028 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.028 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.028 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.028 * [taylor]: Taking taylor expansion of 2.0 in k 4.028 * [taylor]: Taking taylor expansion of PI in k 4.029 * [taylor]: Taking taylor expansion of (log n) in k 4.029 * [taylor]: Taking taylor expansion of n in k 4.029 * [taylor]: Taking taylor expansion of k in k 4.063 * [taylor]: Taking taylor expansion of 0 in k 4.129 * [taylor]: Taking taylor expansion of 0 in k 4.215 * [taylor]: Taking taylor expansion of 0 in k 4.274 * [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 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of 1.0 in k 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.274 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.274 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.274 * [taylor]: Taking taylor expansion of -1 in k 4.274 * [taylor]: Taking taylor expansion of k in k 4.276 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.276 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.276 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.276 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.276 * [taylor]: Taking taylor expansion of -0.5 in k 4.276 * [taylor]: Taking taylor expansion of k in k 4.276 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.276 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.276 * [taylor]: Taking taylor expansion of -2.0 in k 4.276 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.276 * [taylor]: Taking taylor expansion of PI in k 4.276 * [taylor]: Taking taylor expansion of n in k 4.277 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.277 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.277 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.277 * [taylor]: Taking taylor expansion of 0.5 in k 4.277 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.277 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.277 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.277 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.277 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.277 * [taylor]: Taking taylor expansion of 1.0 in k 4.277 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.277 * [taylor]: Taking taylor expansion of -2.0 in k 4.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.279 * [taylor]: Taking taylor expansion of 1.0 in k 4.279 * [taylor]: Taking taylor expansion of (log PI) in k 4.279 * [taylor]: Taking taylor expansion of PI in k 4.281 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.281 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.281 * [taylor]: Taking taylor expansion of 1.0 in k 4.281 * [taylor]: Taking taylor expansion of (log n) in k 4.281 * [taylor]: Taking taylor expansion of n in k 4.288 * [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 4.288 * [taylor]: Taking taylor expansion of 1.0 in n 4.288 * [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 4.288 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.288 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.288 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.288 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.288 * [taylor]: Taking taylor expansion of -1 in n 4.288 * [taylor]: Taking taylor expansion of k in n 4.288 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.288 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.289 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.289 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.289 * [taylor]: Taking taylor expansion of -0.5 in n 4.289 * [taylor]: Taking taylor expansion of k in n 4.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.289 * [taylor]: Taking taylor expansion of -2.0 in n 4.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.289 * [taylor]: Taking taylor expansion of PI in n 4.289 * [taylor]: Taking taylor expansion of n in n 4.294 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.294 * [taylor]: Taking taylor expansion of 0.5 in n 4.294 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.294 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.294 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.294 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.294 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.294 * [taylor]: Taking taylor expansion of 1.0 in n 4.294 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.294 * [taylor]: Taking taylor expansion of -2.0 in n 4.296 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.296 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [taylor]: Taking taylor expansion of (log PI) in n 4.296 * [taylor]: Taking taylor expansion of PI in n 4.298 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.298 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.298 * [taylor]: Taking taylor expansion of 1.0 in n 4.298 * [taylor]: Taking taylor expansion of (log n) in n 4.298 * [taylor]: Taking taylor expansion of n in n 4.305 * [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 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [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 4.305 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.305 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.305 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.305 * [taylor]: Taking taylor expansion of -1 in n 4.305 * [taylor]: Taking taylor expansion of k in n 4.305 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.305 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.305 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.305 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.305 * [taylor]: Taking taylor expansion of -0.5 in n 4.306 * [taylor]: Taking taylor expansion of k in n 4.306 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.306 * [taylor]: Taking taylor expansion of -2.0 in n 4.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.306 * [taylor]: Taking taylor expansion of PI in n 4.306 * [taylor]: Taking taylor expansion of n in n 4.311 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.311 * [taylor]: Taking taylor expansion of 0.5 in n 4.311 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.311 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.311 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.311 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.311 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.311 * [taylor]: Taking taylor expansion of 1.0 in n 4.311 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.311 * [taylor]: Taking taylor expansion of -2.0 in n 4.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.313 * [taylor]: Taking taylor expansion of 1.0 in n 4.313 * [taylor]: Taking taylor expansion of (log PI) in n 4.313 * [taylor]: Taking taylor expansion of PI in n 4.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.315 * [taylor]: Taking taylor expansion of 1.0 in n 4.315 * [taylor]: Taking taylor expansion of (log n) in n 4.315 * [taylor]: Taking taylor expansion of n in n 4.327 * [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 4.327 * [taylor]: Taking taylor expansion of 1.0 in k 4.327 * [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 4.327 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.327 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.327 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.327 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.327 * [taylor]: Taking taylor expansion of -0.5 in k 4.327 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.327 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.327 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.327 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.327 * [taylor]: Taking taylor expansion of -2.0 in k 4.327 * [taylor]: Taking taylor expansion of PI in k 4.328 * [taylor]: Taking taylor expansion of (log n) in k 4.328 * [taylor]: Taking taylor expansion of n in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.331 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.331 * [taylor]: Taking taylor expansion of -1 in k 4.331 * [taylor]: Taking taylor expansion of k in k 4.335 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.335 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.335 * [taylor]: Taking taylor expansion of 0.5 in k 4.335 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.335 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.335 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.335 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.335 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.335 * [taylor]: Taking taylor expansion of 1.0 in k 4.335 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.335 * [taylor]: Taking taylor expansion of -2.0 in k 4.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.337 * [taylor]: Taking taylor expansion of 1.0 in k 4.337 * [taylor]: Taking taylor expansion of (log PI) in k 4.337 * [taylor]: Taking taylor expansion of PI in k 4.339 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.339 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.339 * [taylor]: Taking taylor expansion of 1.0 in k 4.339 * [taylor]: Taking taylor expansion of (log n) in k 4.339 * [taylor]: Taking taylor expansion of n in k 4.383 * [taylor]: Taking taylor expansion of 0 in k 4.445 * [taylor]: Taking taylor expansion of 0 in k 4.497 * * * [progress]: simplifying candidates 4.499 * [simplify]: Simplifying using # : (* (+ (+ (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 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 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n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (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)))))))))))) (+ (* (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))))) 4.597 * * * [progress]: adding candidates to table 4.956 * * [progress]: iteration 4 / 4 4.956 * * * [progress]: picking best candidate 4.983 * * * * [pick]: Picked # 4.984 * * * [progress]: localizing error 5.002 * * * [progress]: generating rewritten candidates 5.002 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.013 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.018 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 5.026 * * * [progress]: generating series expansions 5.026 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.027 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.027 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.027 * [taylor]: Taking taylor expansion of 0.5 in n 5.027 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.027 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.027 * [taylor]: Taking taylor expansion of 2.0 in n 5.027 * [taylor]: Taking taylor expansion of (* n PI) in n 5.027 * [taylor]: Taking taylor expansion of n in n 5.027 * [taylor]: Taking taylor expansion of PI in n 5.032 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.032 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.032 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.032 * [taylor]: Taking taylor expansion of 0.5 in n 5.032 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.032 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.032 * [taylor]: Taking taylor expansion of 2.0 in n 5.032 * [taylor]: Taking taylor expansion of (* n PI) in n 5.033 * [taylor]: Taking taylor expansion of n in n 5.033 * [taylor]: Taking taylor expansion of PI in n 5.115 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.115 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.115 * [taylor]: Taking taylor expansion of 0.5 in n 5.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.116 * [taylor]: Taking taylor expansion of 2.0 in n 5.116 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.116 * [taylor]: Taking taylor expansion of PI in n 5.116 * [taylor]: Taking taylor expansion of n in n 5.122 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.122 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.122 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.122 * [taylor]: Taking taylor expansion of 0.5 in n 5.122 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.122 * [taylor]: Taking taylor expansion of 2.0 in n 5.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.122 * [taylor]: Taking taylor expansion of PI in n 5.122 * [taylor]: Taking taylor expansion of n in n 5.200 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.200 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.200 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.200 * [taylor]: Taking taylor expansion of 0.5 in n 5.200 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.200 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.200 * [taylor]: Taking taylor expansion of -2.0 in n 5.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.201 * [taylor]: Taking taylor expansion of PI in n 5.201 * [taylor]: Taking taylor expansion of n in n 5.204 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.204 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.204 * [taylor]: Taking taylor expansion of 0.5 in n 5.204 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.204 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.204 * [taylor]: Taking taylor expansion of -2.0 in n 5.204 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.204 * [taylor]: Taking taylor expansion of PI in n 5.204 * [taylor]: Taking taylor expansion of n in n 5.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.282 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.282 * [taylor]: Taking taylor expansion of 2.0 in n 5.282 * [taylor]: Taking taylor expansion of (* n PI) in n 5.282 * [taylor]: Taking taylor expansion of n in n 5.282 * [taylor]: Taking taylor expansion of PI in n 5.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.282 * [taylor]: Taking taylor expansion of 2.0 in n 5.282 * [taylor]: Taking taylor expansion of (* n PI) in n 5.282 * [taylor]: Taking taylor expansion of n in n 5.282 * [taylor]: Taking taylor expansion of PI in n 5.294 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.294 * [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 5.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.295 * [taylor]: Taking taylor expansion of 2.0 in n 5.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.295 * [taylor]: Taking taylor expansion of PI in n 5.295 * [taylor]: Taking taylor expansion of n in n 5.304 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.304 * [taylor]: Taking taylor expansion of -2.0 in n 5.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.304 * [taylor]: Taking taylor expansion of PI in n 5.304 * [taylor]: Taking taylor expansion of n in n 5.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.304 * [taylor]: Taking taylor expansion of -2.0 in n 5.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.304 * [taylor]: Taking taylor expansion of PI in n 5.304 * [taylor]: Taking taylor expansion of n in n 5.314 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.314 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.314 * [taylor]: Taking taylor expansion of 2.0 in n 5.314 * [taylor]: Taking taylor expansion of (* n PI) in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.314 * [taylor]: Taking taylor expansion of PI in n 5.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.314 * [taylor]: Taking taylor expansion of 2.0 in n 5.314 * [taylor]: Taking taylor expansion of (* n PI) in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.315 * [taylor]: Taking taylor expansion of PI in n 5.327 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.327 * [taylor]: Taking taylor expansion of 2.0 in n 5.327 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.327 * [taylor]: Taking taylor expansion of PI in n 5.327 * [taylor]: Taking taylor expansion of n in n 5.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.327 * [taylor]: Taking taylor expansion of 2.0 in n 5.327 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.327 * [taylor]: Taking taylor expansion of PI in n 5.327 * [taylor]: Taking taylor expansion of n in n 5.337 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.337 * [taylor]: Taking taylor expansion of -2.0 in n 5.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.337 * [taylor]: Taking taylor expansion of PI in n 5.337 * [taylor]: Taking taylor expansion of n in n 5.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.337 * [taylor]: Taking taylor expansion of -2.0 in n 5.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.337 * [taylor]: Taking taylor expansion of PI in n 5.337 * [taylor]: Taking taylor expansion of n in n 5.346 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 5.346 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.346 * [taylor]: Taking taylor expansion of 1.0 in k 5.346 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.346 * [taylor]: Taking taylor expansion of k in k 5.347 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.348 * [taylor]: Taking taylor expansion of 1.0 in k 5.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.348 * [taylor]: Taking taylor expansion of k in k 5.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.362 * [taylor]: Taking taylor expansion of 1.0 in k 5.362 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.362 * [taylor]: Taking taylor expansion of k in k 5.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.364 * [taylor]: Taking taylor expansion of 1.0 in k 5.364 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.364 * [taylor]: Taking taylor expansion of k in k 5.374 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.374 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.374 * [taylor]: Taking taylor expansion of 1.0 in k 5.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.374 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.374 * [taylor]: Taking taylor expansion of -1 in k 5.374 * [taylor]: Taking taylor expansion of k in k 5.376 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.376 * [taylor]: Taking taylor expansion of 1.0 in k 5.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.376 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.376 * [taylor]: Taking taylor expansion of -1 in k 5.376 * [taylor]: Taking taylor expansion of k in k 5.388 * * * [progress]: simplifying candidates 5.390 * [simplify]: Simplifying using # : (* (+ (+ (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 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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))))) 5.396 * * [simplify]: iteration 0 : 435 enodes (cost 565 ) 5.403 * * [simplify]: iteration 1 : 1610 enodes (cost 505 ) 5.433 * * [simplify]: iteration 2 : 5001 enodes (cost 493 ) 5.437 * [simplify]: Simplified to: (* (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) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) (/ +nan.0 (pow k 3))) (- (+ (/ (- +nan.0) (pow k 2)) (/ +nan.0 k)) +nan.0) 5.438 * * * [progress]: adding candidates to table 5.682 * [progress]: [Phase 3 of 3] Extracting. 5.682 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.685 * * * [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) 5.685 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.730 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.781 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.826 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.872 * * * [regime]: Found split indices: #