14.634 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.194 * * * [progress]: [2/2] Setting up program. 0.198 * [progress]: [Phase 2 of 3] Improving. 0.198 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.200 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.202 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.203 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.206 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.212 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.234 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.234 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.235 * * [progress]: iteration 1 / 4 0.235 * * * [progress]: picking best candidate 0.237 * * * * [pick]: Picked # 0.237 * * * [progress]: localizing error 0.255 * * * [progress]: generating rewritten candidates 0.255 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.265 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.279 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.290 * * * [progress]: generating series expansions 0.290 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.291 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.291 * [taylor]: Taking taylor expansion of 0.5 in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [taylor]: Taking taylor expansion of (* n PI) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.293 * [taylor]: Taking taylor expansion of 2.0 in n 0.293 * [taylor]: Taking taylor expansion of (* n PI) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.304 * [taylor]: Taking taylor expansion of 0.5 in k 0.304 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.304 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.304 * [taylor]: Taking taylor expansion of 1.0 in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.304 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.304 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.304 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.304 * [taylor]: Taking taylor expansion of 2.0 in k 0.304 * [taylor]: Taking taylor expansion of PI in k 0.305 * [taylor]: Taking taylor expansion of (log n) in k 0.305 * [taylor]: Taking taylor expansion of n in k 0.315 * [taylor]: Taking taylor expansion of 0 in k 0.330 * [taylor]: Taking taylor expansion of 0 in k 0.355 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.355 * [taylor]: Taking taylor expansion of 0.5 in k 0.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.356 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.356 * [taylor]: Taking taylor expansion of 2.0 in k 0.356 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.356 * [taylor]: Taking taylor expansion of PI in k 0.356 * [taylor]: Taking taylor expansion of n in k 0.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.357 * [taylor]: Taking taylor expansion of k in n 0.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.357 * [taylor]: Taking taylor expansion of 2.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.361 * [taylor]: Taking taylor expansion of 0.5 in n 0.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.361 * [taylor]: Taking taylor expansion of 1.0 in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.361 * [taylor]: Taking taylor expansion of k in n 0.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.361 * [taylor]: Taking taylor expansion of 2.0 in n 0.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.361 * [taylor]: Taking taylor expansion of PI in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.365 * [taylor]: Taking taylor expansion of 0.5 in k 0.365 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.365 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.365 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.365 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.365 * [taylor]: Taking taylor expansion of 2.0 in k 0.365 * [taylor]: Taking taylor expansion of PI in k 0.366 * [taylor]: Taking taylor expansion of (log n) in k 0.366 * [taylor]: Taking taylor expansion of n in k 0.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.366 * [taylor]: Taking taylor expansion of 1.0 in k 0.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.366 * [taylor]: Taking taylor expansion of k in k 0.376 * [taylor]: Taking taylor expansion of 0 in k 0.383 * [taylor]: Taking taylor expansion of 0 in k 0.392 * [taylor]: Taking taylor expansion of 0 in k 0.394 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.394 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.394 * [taylor]: Taking taylor expansion of 0.5 in k 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.394 * [taylor]: Taking taylor expansion of k in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.394 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.394 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.394 * [taylor]: Taking taylor expansion of -2.0 in k 0.394 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.394 * [taylor]: Taking taylor expansion of PI in k 0.394 * [taylor]: Taking taylor expansion of n in k 0.395 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.395 * [taylor]: Taking taylor expansion of 0.5 in n 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.395 * [taylor]: Taking taylor expansion of k in n 0.395 * [taylor]: Taking taylor expansion of 1.0 in n 0.395 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.395 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.395 * [taylor]: Taking taylor expansion of -2.0 in n 0.395 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.399 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.399 * [taylor]: Taking taylor expansion of -2.0 in n 0.399 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.399 * [taylor]: Taking taylor expansion of PI in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.403 * [taylor]: Taking taylor expansion of 0.5 in k 0.403 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.403 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.403 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.403 * [taylor]: Taking taylor expansion of -2.0 in k 0.403 * [taylor]: Taking taylor expansion of PI in k 0.404 * [taylor]: Taking taylor expansion of (log n) in k 0.404 * [taylor]: Taking taylor expansion of n in k 0.413 * [taylor]: Taking taylor expansion of 0 in k 0.420 * [taylor]: Taking taylor expansion of 0 in k 0.435 * [taylor]: Taking taylor expansion of 0 in k 0.436 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.436 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.436 * [taylor]: Taking taylor expansion of 1.0 in k 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.436 * [taylor]: Taking taylor expansion of k in k 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.437 * [taylor]: Taking taylor expansion of 1.0 in k 0.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.437 * [taylor]: Taking taylor expansion of k in k 0.448 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.460 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.460 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.460 * [taylor]: Taking taylor expansion of -1 in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.462 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.462 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.462 * [taylor]: Taking taylor expansion of -1 in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.474 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.475 * [taylor]: Taking taylor expansion of k in n 0.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.475 * [taylor]: Taking taylor expansion of 0.5 in n 0.475 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.475 * [taylor]: Taking taylor expansion of 1.0 in n 0.475 * [taylor]: Taking taylor expansion of k in n 0.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.475 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.475 * [taylor]: Taking taylor expansion of 2.0 in n 0.475 * [taylor]: Taking taylor expansion of (* n PI) in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.480 * [taylor]: Taking taylor expansion of 1.0 in k 0.481 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.481 * [taylor]: Taking taylor expansion of k in k 0.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.482 * [taylor]: Taking taylor expansion of 0.5 in k 0.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.482 * [taylor]: Taking taylor expansion of 1.0 in k 0.482 * [taylor]: Taking taylor expansion of k in k 0.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.482 * [taylor]: Taking taylor expansion of 2.0 in k 0.482 * [taylor]: Taking taylor expansion of (* n PI) in k 0.482 * [taylor]: Taking taylor expansion of n in k 0.482 * [taylor]: Taking taylor expansion of PI in k 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.483 * [taylor]: Taking taylor expansion of 1.0 in k 0.483 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.483 * [taylor]: Taking taylor expansion of k in k 0.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.485 * [taylor]: Taking taylor expansion of 0.5 in k 0.485 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.485 * [taylor]: Taking taylor expansion of 1.0 in k 0.485 * [taylor]: Taking taylor expansion of k in k 0.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.485 * [taylor]: Taking taylor expansion of 2.0 in k 0.485 * [taylor]: Taking taylor expansion of (* n PI) in k 0.485 * [taylor]: Taking taylor expansion of n in k 0.485 * [taylor]: Taking taylor expansion of PI in k 0.486 * [taylor]: Taking taylor expansion of 0 in n 0.492 * [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 0.492 * [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 0.492 * [taylor]: Taking taylor expansion of +nan.0 in n 0.492 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.492 * [taylor]: Taking taylor expansion of 0.5 in n 0.492 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.492 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.492 * [taylor]: Taking taylor expansion of 1.0 in n 0.492 * [taylor]: Taking taylor expansion of (log PI) in n 0.492 * [taylor]: Taking taylor expansion of PI in n 0.494 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.494 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log n) in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.495 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [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 0.514 * [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 0.514 * [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 0.514 * [taylor]: Taking taylor expansion of +nan.0 in n 0.514 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.514 * [taylor]: Taking taylor expansion of 0.5 in n 0.514 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.516 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.516 * [taylor]: Taking taylor expansion of 1.0 in n 0.516 * [taylor]: Taking taylor expansion of (log n) in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.517 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [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 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of +nan.0 in n 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.529 * [taylor]: Taking taylor expansion of 0.5 in n 0.529 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.529 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.529 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.529 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log PI) in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log n) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (* n PI) in n 0.537 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.588 * [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 0.588 * [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 0.588 * [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 0.588 * [taylor]: Taking taylor expansion of +nan.0 in n 0.588 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.588 * [taylor]: Taking taylor expansion of 0.5 in n 0.588 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.588 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.588 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.588 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.588 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.588 * [taylor]: Taking taylor expansion of 2.0 in n 0.590 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log n) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.591 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (log PI) in n 0.591 * [taylor]: Taking taylor expansion of PI in n 0.596 * [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 0.596 * [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 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of +nan.0 in n 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log PI) in n 0.598 * [taylor]: Taking taylor expansion of PI 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 0.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (* n PI) in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.608 * [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 0.608 * [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 0.608 * [taylor]: Taking taylor expansion of +nan.0 in n 0.608 * [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 0.608 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.608 * [taylor]: Taking taylor expansion of 0.5 in n 0.608 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.610 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.610 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log PI) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log n) in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.622 * [taylor]: Taking taylor expansion of 2.0 in n 0.622 * [taylor]: Taking taylor expansion of (* n PI) in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.696 * [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 0.696 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.696 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.697 * [taylor]: Taking taylor expansion of 1.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.701 * [taylor]: Taking taylor expansion of 1.0 in k 0.701 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.701 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.701 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.702 * [taylor]: Taking taylor expansion of 0.5 in k 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.707 * [taylor]: Taking taylor expansion of 1.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.707 * [taylor]: Taking taylor expansion of k in k 0.708 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.708 * [taylor]: Taking taylor expansion of 2.0 in k 0.708 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.708 * [taylor]: Taking taylor expansion of PI in k 0.708 * [taylor]: Taking taylor expansion of n in k 0.709 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.709 * [taylor]: Taking taylor expansion of 1.0 in k 0.709 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.709 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.710 * [taylor]: Taking taylor expansion of 0.5 in k 0.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.711 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.711 * [taylor]: Taking taylor expansion of 2.0 in k 0.711 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.711 * [taylor]: Taking taylor expansion of PI in k 0.711 * [taylor]: Taking taylor expansion of n in k 0.712 * [taylor]: Taking taylor expansion of 0 in n 0.713 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.713 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.713 * [taylor]: Taking taylor expansion of +nan.0 in n 0.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.715 * [taylor]: Taking taylor expansion of k in n 0.723 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.723 * [taylor]: Taking taylor expansion of +nan.0 in n 0.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.723 * [taylor]: Taking taylor expansion of 0.5 in n 0.723 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.723 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.723 * [taylor]: Taking taylor expansion of 2.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.723 * [taylor]: Taking taylor expansion of PI in n 0.723 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.741 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.741 * [taylor]: Taking taylor expansion of +nan.0 in n 0.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.741 * [taylor]: Taking taylor expansion of 0.5 in n 0.741 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.741 * [taylor]: Taking taylor expansion of 2.0 in n 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.741 * [taylor]: Taking taylor expansion of PI in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.752 * [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 0.752 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.752 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.752 * [taylor]: Taking taylor expansion of 0.5 in n 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of -2.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.756 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.756 * [taylor]: Taking taylor expansion of -1 in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.757 * [taylor]: Taking taylor expansion of 1.0 in k 0.757 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.757 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.757 * [taylor]: Taking taylor expansion of 0.5 in k 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.757 * [taylor]: Taking taylor expansion of k in k 0.757 * [taylor]: Taking taylor expansion of 1.0 in k 0.758 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.758 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.758 * [taylor]: Taking taylor expansion of -2.0 in k 0.758 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.758 * [taylor]: Taking taylor expansion of PI in k 0.758 * [taylor]: Taking taylor expansion of n in k 0.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.758 * [taylor]: Taking taylor expansion of -1 in k 0.758 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.760 * [taylor]: Taking taylor expansion of 1.0 in k 0.760 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.760 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.760 * [taylor]: Taking taylor expansion of 0.5 in k 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of 1.0 in k 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.760 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.760 * [taylor]: Taking taylor expansion of -2.0 in k 0.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.760 * [taylor]: Taking taylor expansion of PI in k 0.760 * [taylor]: Taking taylor expansion of n in k 0.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.761 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.761 * [taylor]: Taking taylor expansion of -1 in k 0.761 * [taylor]: Taking taylor expansion of k in k 0.763 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.763 * [taylor]: Taking taylor expansion of +nan.0 in n 0.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.763 * [taylor]: Taking taylor expansion of 0.5 in n 0.763 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.763 * [taylor]: Taking taylor expansion of k in n 0.763 * [taylor]: Taking taylor expansion of 1.0 in n 0.763 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.763 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.763 * [taylor]: Taking taylor expansion of -2.0 in n 0.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.763 * [taylor]: Taking taylor expansion of PI in n 0.763 * [taylor]: Taking taylor expansion of n in n 0.772 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.773 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.773 * [taylor]: Taking taylor expansion of +nan.0 in n 0.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.773 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.773 * [taylor]: Taking taylor expansion of 0.5 in n 0.773 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.773 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.773 * [taylor]: Taking taylor expansion of k in n 0.773 * [taylor]: Taking taylor expansion of 1.0 in n 0.773 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.773 * [taylor]: Taking taylor expansion of -2.0 in n 0.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.773 * [taylor]: Taking taylor expansion of PI in n 0.773 * [taylor]: Taking taylor expansion of n in n 0.791 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.791 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.791 * [taylor]: Taking taylor expansion of +nan.0 in n 0.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.791 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.791 * [taylor]: Taking taylor expansion of 0.5 in n 0.791 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.791 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.791 * [taylor]: Taking taylor expansion of k in n 0.791 * [taylor]: Taking taylor expansion of 1.0 in n 0.791 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.791 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.791 * [taylor]: Taking taylor expansion of -2.0 in n 0.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.791 * [taylor]: Taking taylor expansion of PI in n 0.791 * [taylor]: Taking taylor expansion of n in n 0.806 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.807 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.807 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.807 * [taylor]: Taking taylor expansion of 2.0 in n 0.807 * [taylor]: Taking taylor expansion of (* n PI) in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.807 * [taylor]: Taking taylor expansion of 2.0 in n 0.807 * [taylor]: Taking taylor expansion of (* n PI) in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.820 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.820 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.820 * [taylor]: Taking taylor expansion of 2.0 in n 0.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.820 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.820 * [taylor]: Taking taylor expansion of 2.0 in n 0.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.820 * [taylor]: Taking taylor expansion of PI in n 0.820 * [taylor]: Taking taylor expansion of n in n 0.829 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.829 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.829 * [taylor]: Taking taylor expansion of -2.0 in n 0.829 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.829 * [taylor]: Taking taylor expansion of PI in n 0.829 * [taylor]: Taking taylor expansion of n in n 0.830 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.830 * [taylor]: Taking taylor expansion of -2.0 in n 0.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.830 * [taylor]: Taking taylor expansion of PI in n 0.830 * [taylor]: Taking taylor expansion of n in n 0.839 * * * [progress]: simplifying candidates 0.841 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (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)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 0.940 * * * [progress]: adding candidates to table 1.319 * * [progress]: iteration 2 / 4 1.319 * * * [progress]: picking best candidate 1.355 * * * * [pick]: Picked # 1.355 * * * [progress]: localizing error 1.372 * * * [progress]: generating rewritten candidates 1.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.380 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.394 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.406 * * * [progress]: generating series expansions 1.406 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.407 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.407 * [taylor]: Taking taylor expansion of 0.5 in k 1.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.407 * [taylor]: Taking taylor expansion of 1.0 in k 1.407 * [taylor]: Taking taylor expansion of k in k 1.407 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.407 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.407 * [taylor]: Taking taylor expansion of 2.0 in k 1.407 * [taylor]: Taking taylor expansion of PI in k 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.412 * [taylor]: Taking taylor expansion of 0.5 in k 1.412 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.412 * [taylor]: Taking taylor expansion of 1.0 in k 1.412 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.412 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.412 * [taylor]: Taking taylor expansion of 2.0 in k 1.412 * [taylor]: Taking taylor expansion of PI in k 1.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.465 * [taylor]: Taking taylor expansion of 0.5 in k 1.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.466 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.466 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.466 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.466 * [taylor]: Taking taylor expansion of 2.0 in k 1.466 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.469 * [taylor]: Taking taylor expansion of 0.5 in k 1.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.469 * [taylor]: Taking taylor expansion of 1.0 in k 1.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.470 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.470 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.470 * [taylor]: Taking taylor expansion of 2.0 in k 1.470 * [taylor]: Taking taylor expansion of PI in k 1.475 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.475 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.475 * [taylor]: Taking taylor expansion of 0.5 in k 1.475 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.475 * [taylor]: Taking taylor expansion of k in k 1.476 * [taylor]: Taking taylor expansion of 1.0 in k 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.476 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.476 * [taylor]: Taking taylor expansion of 2.0 in k 1.476 * [taylor]: Taking taylor expansion of PI in k 1.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.479 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.479 * [taylor]: Taking taylor expansion of 0.5 in k 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of 1.0 in k 1.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.480 * [taylor]: Taking taylor expansion of 2.0 in k 1.480 * [taylor]: Taking taylor expansion of PI in k 1.484 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.485 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.485 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.485 * [taylor]: Taking taylor expansion of 1.0 in k 1.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.485 * [taylor]: Taking taylor expansion of k in k 1.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.487 * [taylor]: Taking taylor expansion of 0.5 in k 1.487 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.487 * [taylor]: Taking taylor expansion of 1.0 in k 1.487 * [taylor]: Taking taylor expansion of k in k 1.487 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.487 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.487 * [taylor]: Taking taylor expansion of 2.0 in k 1.487 * [taylor]: Taking taylor expansion of PI in k 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.491 * [taylor]: Taking taylor expansion of 1.0 in k 1.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.491 * [taylor]: Taking taylor expansion of k in k 1.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.492 * [taylor]: Taking taylor expansion of 0.5 in k 1.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of k in k 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.493 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.493 * [taylor]: Taking taylor expansion of 2.0 in k 1.493 * [taylor]: Taking taylor expansion of PI in k 1.710 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.710 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.710 * [taylor]: Taking taylor expansion of k in k 1.711 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.712 * [taylor]: Taking taylor expansion of 0.5 in k 1.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.712 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.712 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.712 * [taylor]: Taking taylor expansion of 2.0 in k 1.712 * [taylor]: Taking taylor expansion of PI in k 1.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.715 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.715 * [taylor]: Taking taylor expansion of k in k 1.717 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.717 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.717 * [taylor]: Taking taylor expansion of 0.5 in k 1.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.717 * [taylor]: Taking taylor expansion of 1.0 in k 1.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.717 * [taylor]: Taking taylor expansion of k in k 1.717 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.717 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.717 * [taylor]: Taking taylor expansion of 2.0 in k 1.717 * [taylor]: Taking taylor expansion of PI in k 1.739 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.740 * [taylor]: Taking taylor expansion of 0.5 in k 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.740 * [taylor]: Taking taylor expansion of k in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.740 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.740 * [taylor]: Taking taylor expansion of 2.0 in k 1.740 * [taylor]: Taking taylor expansion of PI in k 1.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.743 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.743 * [taylor]: Taking taylor expansion of -1 in k 1.743 * [taylor]: Taking taylor expansion of k in k 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.745 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.745 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.745 * [taylor]: Taking taylor expansion of 0.5 in k 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.745 * [taylor]: Taking taylor expansion of k in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.746 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.746 * [taylor]: Taking taylor expansion of 2.0 in k 1.746 * [taylor]: Taking taylor expansion of PI in k 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.749 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.749 * [taylor]: Taking taylor expansion of -1 in k 1.749 * [taylor]: Taking taylor expansion of k in k 1.775 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.776 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.776 * [taylor]: Taking taylor expansion of 1.0 in k 1.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.776 * [taylor]: Taking taylor expansion of k in k 1.777 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.777 * [taylor]: Taking taylor expansion of 1.0 in k 1.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.777 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.777 * [taylor]: Taking taylor expansion of k in k 1.788 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.788 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.788 * [taylor]: Taking taylor expansion of 1.0 in k 1.788 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.788 * [taylor]: Taking taylor expansion of k in k 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.789 * [taylor]: Taking taylor expansion of 1.0 in k 1.789 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.789 * [taylor]: Taking taylor expansion of k in k 1.799 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.800 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.800 * [taylor]: Taking taylor expansion of 1.0 in k 1.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.800 * [taylor]: Taking taylor expansion of -1 in k 1.800 * [taylor]: Taking taylor expansion of k in k 1.801 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.801 * [taylor]: Taking taylor expansion of 1.0 in k 1.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.801 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.801 * [taylor]: Taking taylor expansion of -1 in k 1.801 * [taylor]: Taking taylor expansion of k in k 1.813 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.813 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.813 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.813 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.813 * [taylor]: Taking taylor expansion of 0.5 in k 1.813 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.813 * [taylor]: Taking taylor expansion of 1.0 in k 1.813 * [taylor]: Taking taylor expansion of k in k 1.813 * [taylor]: Taking taylor expansion of (log n) in k 1.813 * [taylor]: Taking taylor expansion of n in k 1.814 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.814 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.814 * [taylor]: Taking taylor expansion of 0.5 in n 1.814 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.814 * [taylor]: Taking taylor expansion of 1.0 in n 1.814 * [taylor]: Taking taylor expansion of k in n 1.814 * [taylor]: Taking taylor expansion of (log n) in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.815 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.815 * [taylor]: Taking taylor expansion of 0.5 in n 1.815 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of k in n 1.815 * [taylor]: Taking taylor expansion of (log n) in n 1.815 * [taylor]: Taking taylor expansion of n in n 1.816 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.816 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.816 * [taylor]: Taking taylor expansion of 0.5 in k 1.816 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.816 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of k in k 1.816 * [taylor]: Taking taylor expansion of (log n) in k 1.816 * [taylor]: Taking taylor expansion of n in k 1.819 * [taylor]: Taking taylor expansion of 0 in k 1.824 * [taylor]: Taking taylor expansion of 0 in k 1.828 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.828 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.828 * [taylor]: Taking taylor expansion of 0.5 in k 1.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.828 * [taylor]: Taking taylor expansion of 1.0 in k 1.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.828 * [taylor]: Taking taylor expansion of k in k 1.829 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.829 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.829 * [taylor]: Taking taylor expansion of n in k 1.830 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.830 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.830 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.830 * [taylor]: Taking taylor expansion of 0.5 in n 1.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.830 * [taylor]: Taking taylor expansion of 1.0 in n 1.830 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.830 * [taylor]: Taking taylor expansion of k in n 1.830 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.830 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.831 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.831 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.831 * [taylor]: Taking taylor expansion of 0.5 in n 1.831 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.831 * [taylor]: Taking taylor expansion of k in n 1.831 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.831 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.831 * [taylor]: Taking taylor expansion of n in n 1.832 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.832 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.832 * [taylor]: Taking taylor expansion of -0.5 in k 1.832 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.832 * [taylor]: Taking taylor expansion of (log n) in k 1.832 * [taylor]: Taking taylor expansion of n in k 1.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.832 * [taylor]: Taking taylor expansion of 1.0 in k 1.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.832 * [taylor]: Taking taylor expansion of k in k 1.836 * [taylor]: Taking taylor expansion of 0 in k 1.841 * [taylor]: Taking taylor expansion of 0 in k 1.852 * [taylor]: Taking taylor expansion of 0 in k 1.853 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.853 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.853 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.853 * [taylor]: Taking taylor expansion of 0.5 in k 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.853 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.853 * [taylor]: Taking taylor expansion of -1 in k 1.853 * [taylor]: Taking taylor expansion of n in k 1.854 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.854 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.854 * [taylor]: Taking taylor expansion of 0.5 in n 1.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.854 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.854 * [taylor]: Taking taylor expansion of k in n 1.854 * [taylor]: Taking taylor expansion of 1.0 in n 1.854 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.854 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.854 * [taylor]: Taking taylor expansion of -1 in n 1.854 * [taylor]: Taking taylor expansion of n in n 1.856 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.857 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.857 * [taylor]: Taking taylor expansion of 0.5 in n 1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.857 * [taylor]: Taking taylor expansion of k in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.857 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.857 * [taylor]: Taking taylor expansion of -1 in n 1.857 * [taylor]: Taking taylor expansion of n in n 1.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.859 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.859 * [taylor]: Taking taylor expansion of 0.5 in k 1.859 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.859 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.859 * [taylor]: Taking taylor expansion of (log -1) in k 1.859 * [taylor]: Taking taylor expansion of -1 in k 1.859 * [taylor]: Taking taylor expansion of (log n) in k 1.859 * [taylor]: Taking taylor expansion of n in k 1.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.859 * [taylor]: Taking taylor expansion of k in k 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.865 * [taylor]: Taking taylor expansion of 0 in k 1.870 * [taylor]: Taking taylor expansion of 0 in k 1.876 * [taylor]: Taking taylor expansion of 0 in k 1.877 * * * [progress]: simplifying candidates 1.879 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 1.889 * * [simplify]: iteration 0 : 819 enodes (cost 1327 ) 1.902 * * [simplify]: iteration 1 : 3182 enodes (cost 1246 ) 1.949 * * [simplify]: iteration 2 : 5001 enodes (cost 1236 ) 1.957 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 1.957 * * * [progress]: adding candidates to table 2.517 * * [progress]: iteration 3 / 4 2.517 * * * [progress]: picking best candidate 2.544 * * * * [pick]: Picked # 2.544 * * * [progress]: localizing error 2.562 * * * [progress]: generating rewritten candidates 2.563 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.568 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.581 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.585 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.598 * * * [progress]: generating series expansions 2.598 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.598 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.598 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.598 * [taylor]: Taking taylor expansion of 0.5 in k 2.598 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.598 * [taylor]: Taking taylor expansion of 1.0 in k 2.598 * [taylor]: Taking taylor expansion of k in k 2.598 * [taylor]: Taking taylor expansion of (log PI) in k 2.598 * [taylor]: Taking taylor expansion of PI in k 2.601 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.601 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.601 * [taylor]: Taking taylor expansion of 0.5 in k 2.601 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.601 * [taylor]: Taking taylor expansion of 1.0 in k 2.601 * [taylor]: Taking taylor expansion of k in k 2.601 * [taylor]: Taking taylor expansion of (log PI) in k 2.601 * [taylor]: Taking taylor expansion of PI in k 2.638 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.638 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.638 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.638 * [taylor]: Taking taylor expansion of 0.5 in k 2.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.638 * [taylor]: Taking taylor expansion of 1.0 in k 2.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.638 * [taylor]: Taking taylor expansion of k in k 2.638 * [taylor]: Taking taylor expansion of (log PI) in k 2.639 * [taylor]: Taking taylor expansion of PI in k 2.640 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.640 * [taylor]: Taking taylor expansion of 0.5 in k 2.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.641 * [taylor]: Taking taylor expansion of 1.0 in k 2.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.641 * [taylor]: Taking taylor expansion of k in k 2.641 * [taylor]: Taking taylor expansion of (log PI) in k 2.641 * [taylor]: Taking taylor expansion of PI in k 2.644 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.644 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.644 * [taylor]: Taking taylor expansion of 0.5 in k 2.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.644 * [taylor]: Taking taylor expansion of k in k 2.644 * [taylor]: Taking taylor expansion of 1.0 in k 2.644 * [taylor]: Taking taylor expansion of (log PI) in k 2.644 * [taylor]: Taking taylor expansion of PI in k 2.646 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.646 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.646 * [taylor]: Taking taylor expansion of 0.5 in k 2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.646 * [taylor]: Taking taylor expansion of k in k 2.646 * [taylor]: Taking taylor expansion of 1.0 in k 2.646 * [taylor]: Taking taylor expansion of (log PI) in k 2.646 * [taylor]: Taking taylor expansion of PI in k 2.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.649 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 2.649 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.649 * [taylor]: Taking taylor expansion of 1.0 in k 2.649 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.649 * [taylor]: Taking taylor expansion of k in k 2.651 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.651 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.651 * [taylor]: Taking taylor expansion of 0.5 in k 2.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.651 * [taylor]: Taking taylor expansion of 1.0 in k 2.651 * [taylor]: Taking taylor expansion of k in k 2.651 * [taylor]: Taking taylor expansion of (log PI) in k 2.651 * [taylor]: Taking taylor expansion of PI in k 2.653 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.654 * [taylor]: Taking taylor expansion of 0.5 in k 2.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.654 * [taylor]: Taking taylor expansion of 1.0 in k 2.654 * [taylor]: Taking taylor expansion of k in k 2.654 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.654 * [taylor]: Taking taylor expansion of 2.0 in k 2.656 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.656 * [taylor]: Taking taylor expansion of 1.0 in k 2.656 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.656 * [taylor]: Taking taylor expansion of k in k 2.657 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.657 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.658 * [taylor]: Taking taylor expansion of 0.5 in k 2.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.658 * [taylor]: Taking taylor expansion of 1.0 in k 2.658 * [taylor]: Taking taylor expansion of k in k 2.658 * [taylor]: Taking taylor expansion of (log PI) in k 2.658 * [taylor]: Taking taylor expansion of PI in k 2.660 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.660 * [taylor]: Taking taylor expansion of 0.5 in k 2.660 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.660 * [taylor]: Taking taylor expansion of 1.0 in k 2.660 * [taylor]: Taking taylor expansion of k in k 2.660 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.660 * [taylor]: Taking taylor expansion of 2.0 in k 3.147 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.147 * [taylor]: Taking taylor expansion of 1.0 in k 3.147 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.147 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.147 * [taylor]: Taking taylor expansion of k in k 3.148 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.148 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.148 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.148 * [taylor]: Taking taylor expansion of 0.5 in k 3.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.148 * [taylor]: Taking taylor expansion of 1.0 in k 3.148 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.148 * [taylor]: Taking taylor expansion of k in k 3.149 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.149 * [taylor]: Taking taylor expansion of 2.0 in k 3.151 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.151 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.151 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.151 * [taylor]: Taking taylor expansion of 0.5 in k 3.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.151 * [taylor]: Taking taylor expansion of 1.0 in k 3.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.151 * [taylor]: Taking taylor expansion of k in k 3.151 * [taylor]: Taking taylor expansion of (log PI) in k 3.151 * [taylor]: Taking taylor expansion of PI in k 3.153 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.153 * [taylor]: Taking taylor expansion of 1.0 in k 3.153 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.153 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.153 * [taylor]: Taking taylor expansion of k in k 3.154 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.154 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.154 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.154 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.154 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.154 * [taylor]: Taking taylor expansion of 0.5 in k 3.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.155 * [taylor]: Taking taylor expansion of 1.0 in k 3.155 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.155 * [taylor]: Taking taylor expansion of k in k 3.155 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.155 * [taylor]: Taking taylor expansion of 2.0 in k 3.157 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.157 * [taylor]: Taking taylor expansion of 0.5 in k 3.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.157 * [taylor]: Taking taylor expansion of 1.0 in k 3.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.157 * [taylor]: Taking taylor expansion of k in k 3.157 * [taylor]: Taking taylor expansion of (log PI) in k 3.157 * [taylor]: Taking taylor expansion of PI in k 3.189 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 3.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.189 * [taylor]: Taking taylor expansion of 1.0 in k 3.189 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.189 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.189 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.189 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.189 * [taylor]: Taking taylor expansion of 0.5 in k 3.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.189 * [taylor]: Taking taylor expansion of k in k 3.190 * [taylor]: Taking taylor expansion of 1.0 in k 3.190 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.190 * [taylor]: Taking taylor expansion of 2.0 in k 3.191 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.191 * [taylor]: Taking taylor expansion of 0.5 in k 3.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.192 * [taylor]: Taking taylor expansion of k in k 3.192 * [taylor]: Taking taylor expansion of 1.0 in k 3.192 * [taylor]: Taking taylor expansion of (log PI) in k 3.192 * [taylor]: Taking taylor expansion of PI in k 3.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.194 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.194 * [taylor]: Taking taylor expansion of -1 in k 3.194 * [taylor]: Taking taylor expansion of k in k 3.196 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.196 * [taylor]: Taking taylor expansion of 1.0 in k 3.196 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.196 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.196 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.197 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.197 * [taylor]: Taking taylor expansion of 0.5 in k 3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.197 * [taylor]: Taking taylor expansion of k in k 3.197 * [taylor]: Taking taylor expansion of 1.0 in k 3.197 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.197 * [taylor]: Taking taylor expansion of 2.0 in k 3.199 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.199 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.199 * [taylor]: Taking taylor expansion of 0.5 in k 3.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.199 * [taylor]: Taking taylor expansion of k in k 3.199 * [taylor]: Taking taylor expansion of 1.0 in k 3.199 * [taylor]: Taking taylor expansion of (log PI) in k 3.199 * [taylor]: Taking taylor expansion of PI in k 3.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.201 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.201 * [taylor]: Taking taylor expansion of -1 in k 3.201 * [taylor]: Taking taylor expansion of k in k 3.223 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.223 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.223 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.223 * [taylor]: Taking taylor expansion of 1.0 in k 3.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.223 * [taylor]: Taking taylor expansion of k in k 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.225 * [taylor]: Taking taylor expansion of 1.0 in k 3.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.225 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.225 * [taylor]: Taking taylor expansion of k in k 3.236 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.236 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.236 * [taylor]: Taking taylor expansion of 1.0 in k 3.236 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.236 * [taylor]: Taking taylor expansion of k in k 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.237 * [taylor]: Taking taylor expansion of k in k 3.248 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.248 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.248 * [taylor]: Taking taylor expansion of 1.0 in k 3.248 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.248 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.248 * [taylor]: Taking taylor expansion of -1 in k 3.248 * [taylor]: Taking taylor expansion of k in k 3.249 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.250 * [taylor]: Taking taylor expansion of -1 in k 3.250 * [taylor]: Taking taylor expansion of k in k 3.262 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.262 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.262 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.262 * [taylor]: Taking taylor expansion of 0.5 in k 3.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.262 * [taylor]: Taking taylor expansion of 1.0 in k 3.262 * [taylor]: Taking taylor expansion of k in k 3.262 * [taylor]: Taking taylor expansion of (log n) in k 3.262 * [taylor]: Taking taylor expansion of n in k 3.263 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.263 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.263 * [taylor]: Taking taylor expansion of 0.5 in n 3.263 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.263 * [taylor]: Taking taylor expansion of 1.0 in n 3.263 * [taylor]: Taking taylor expansion of k in n 3.263 * [taylor]: Taking taylor expansion of (log n) in n 3.263 * [taylor]: Taking taylor expansion of n in n 3.264 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.264 * [taylor]: Taking taylor expansion of 0.5 in n 3.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.264 * [taylor]: Taking taylor expansion of 1.0 in n 3.264 * [taylor]: Taking taylor expansion of k in n 3.264 * [taylor]: Taking taylor expansion of (log n) in n 3.264 * [taylor]: Taking taylor expansion of n in n 3.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.265 * [taylor]: Taking taylor expansion of 0.5 in k 3.265 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.265 * [taylor]: Taking taylor expansion of 1.0 in k 3.265 * [taylor]: Taking taylor expansion of k in k 3.265 * [taylor]: Taking taylor expansion of (log n) in k 3.265 * [taylor]: Taking taylor expansion of n in k 3.268 * [taylor]: Taking taylor expansion of 0 in k 3.280 * [taylor]: Taking taylor expansion of 0 in k 3.284 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.284 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.284 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.284 * [taylor]: Taking taylor expansion of 0.5 in k 3.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.284 * [taylor]: Taking taylor expansion of 1.0 in k 3.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.285 * [taylor]: Taking taylor expansion of k in k 3.285 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.285 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.285 * [taylor]: Taking taylor expansion of n in k 3.286 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.286 * [taylor]: Taking taylor expansion of 0.5 in n 3.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.286 * [taylor]: Taking taylor expansion of 1.0 in n 3.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.286 * [taylor]: Taking taylor expansion of k in n 3.286 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.286 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.286 * [taylor]: Taking taylor expansion of n in n 3.287 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.287 * [taylor]: Taking taylor expansion of 0.5 in n 3.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.287 * [taylor]: Taking taylor expansion of 1.0 in n 3.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.287 * [taylor]: Taking taylor expansion of k in n 3.287 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.287 * [taylor]: Taking taylor expansion of n in n 3.288 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.288 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.288 * [taylor]: Taking taylor expansion of -0.5 in k 3.288 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.288 * [taylor]: Taking taylor expansion of (log n) in k 3.289 * [taylor]: Taking taylor expansion of n in k 3.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.289 * [taylor]: Taking taylor expansion of 1.0 in k 3.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.289 * [taylor]: Taking taylor expansion of k in k 3.292 * [taylor]: Taking taylor expansion of 0 in k 3.297 * [taylor]: Taking taylor expansion of 0 in k 3.303 * [taylor]: Taking taylor expansion of 0 in k 3.304 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.304 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.304 * [taylor]: Taking taylor expansion of 0.5 in k 3.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.304 * [taylor]: Taking taylor expansion of k in k 3.304 * [taylor]: Taking taylor expansion of 1.0 in k 3.304 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.304 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.304 * [taylor]: Taking taylor expansion of -1 in k 3.304 * [taylor]: Taking taylor expansion of n in k 3.305 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.305 * [taylor]: Taking taylor expansion of 0.5 in n 3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.305 * [taylor]: Taking taylor expansion of k in n 3.305 * [taylor]: Taking taylor expansion of 1.0 in n 3.305 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.305 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.305 * [taylor]: Taking taylor expansion of -1 in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.307 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.307 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.307 * [taylor]: Taking taylor expansion of 0.5 in n 3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.307 * [taylor]: Taking taylor expansion of 1.0 in n 3.307 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.307 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.307 * [taylor]: Taking taylor expansion of -1 in n 3.307 * [taylor]: Taking taylor expansion of n in n 3.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.309 * [taylor]: Taking taylor expansion of 0.5 in k 3.309 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.309 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.309 * [taylor]: Taking taylor expansion of (log -1) in k 3.309 * [taylor]: Taking taylor expansion of -1 in k 3.310 * [taylor]: Taking taylor expansion of (log n) in k 3.310 * [taylor]: Taking taylor expansion of n in k 3.310 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.310 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.310 * [taylor]: Taking taylor expansion of k in k 3.310 * [taylor]: Taking taylor expansion of 1.0 in k 3.315 * [taylor]: Taking taylor expansion of 0 in k 3.320 * [taylor]: Taking taylor expansion of 0 in k 3.327 * [taylor]: Taking taylor expansion of 0 in k 3.328 * * * [progress]: simplifying candidates 3.330 * [simplify]: Simplifying using # : (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt 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(- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))) (+ (* +nan.0 (+ (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (- (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 3)))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2))) (+ (* +nan.0 (+ (/ (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (- (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2)))) (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))))) (+ (- (* +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))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 3.431 * * * [progress]: adding candidates to table 3.888 * * [progress]: iteration 4 / 4 3.888 * * * [progress]: picking best candidate 3.908 * * * * [pick]: Picked # 3.908 * * * [progress]: localizing error 3.936 * * * [progress]: generating rewritten candidates 3.936 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.943 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.953 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.957 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.971 * * * [progress]: generating series expansions 3.971 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.972 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.972 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.972 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.972 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.972 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.972 * [taylor]: Taking taylor expansion of 0.5 in k 3.972 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.972 * [taylor]: Taking taylor expansion of 1.0 in k 3.972 * [taylor]: Taking taylor expansion of k in k 3.972 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.972 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.972 * [taylor]: Taking taylor expansion of 2.0 in k 3.972 * [taylor]: Taking taylor expansion of PI in k 3.977 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.977 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.977 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.977 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.977 * [taylor]: Taking taylor expansion of 0.5 in k 3.977 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 3.977 * [taylor]: Taking taylor expansion of k in k 3.977 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.977 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.977 * [taylor]: Taking taylor expansion of 2.0 in k 3.977 * [taylor]: Taking taylor expansion of PI in k 4.031 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.031 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.031 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.031 * [taylor]: Taking taylor expansion of 0.5 in k 4.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.031 * [taylor]: Taking taylor expansion of 1.0 in k 4.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.031 * [taylor]: Taking taylor expansion of k in k 4.031 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.031 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.031 * [taylor]: Taking taylor expansion of 2.0 in k 4.031 * [taylor]: Taking taylor expansion of PI in k 4.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.035 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.035 * [taylor]: Taking taylor expansion of 0.5 in k 4.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.035 * [taylor]: Taking taylor expansion of 1.0 in k 4.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.035 * [taylor]: Taking taylor expansion of k in k 4.035 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.035 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.035 * [taylor]: Taking taylor expansion of 2.0 in k 4.035 * [taylor]: Taking taylor expansion of PI in k 4.040 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.041 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.041 * [taylor]: Taking taylor expansion of 0.5 in k 4.041 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.041 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.041 * [taylor]: Taking taylor expansion of k in k 4.041 * [taylor]: Taking taylor expansion of 1.0 in k 4.041 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.041 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.041 * [taylor]: Taking taylor expansion of 2.0 in k 4.041 * [taylor]: Taking taylor expansion of PI in k 4.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.044 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.044 * [taylor]: Taking taylor expansion of 0.5 in k 4.044 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.044 * [taylor]: Taking taylor expansion of k in k 4.045 * [taylor]: Taking taylor expansion of 1.0 in k 4.045 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.045 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.045 * [taylor]: Taking taylor expansion of 2.0 in k 4.045 * [taylor]: Taking taylor expansion of PI in k 4.049 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.050 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 4.050 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.050 * [taylor]: Taking taylor expansion of 1.0 in k 4.050 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.050 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.050 * [taylor]: Taking taylor expansion of k in k 4.051 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.051 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.051 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.051 * [taylor]: Taking taylor expansion of 0.5 in k 4.052 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.052 * [taylor]: Taking taylor expansion of 1.0 in k 4.052 * [taylor]: Taking taylor expansion of k in k 4.052 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.052 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.052 * [taylor]: Taking taylor expansion of 2.0 in k 4.052 * [taylor]: Taking taylor expansion of PI in k 4.056 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.056 * [taylor]: Taking taylor expansion of 1.0 in k 4.056 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.056 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.056 * [taylor]: Taking taylor expansion of k in k 4.057 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.057 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.057 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.057 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.057 * [taylor]: Taking taylor expansion of 0.5 in k 4.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.057 * [taylor]: Taking taylor expansion of 1.0 in k 4.057 * [taylor]: Taking taylor expansion of k in k 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.057 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.057 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [taylor]: Taking taylor expansion of PI in k 4.271 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 4.271 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.271 * [taylor]: Taking taylor expansion of 1.0 in k 4.271 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.271 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.271 * [taylor]: Taking taylor expansion of k in k 4.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.272 * [taylor]: Taking taylor expansion of 0.5 in k 4.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.272 * [taylor]: Taking taylor expansion of 1.0 in k 4.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.272 * [taylor]: Taking taylor expansion of k in k 4.273 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.273 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.273 * [taylor]: Taking taylor expansion of 2.0 in k 4.273 * [taylor]: Taking taylor expansion of PI in k 4.276 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.276 * [taylor]: Taking taylor expansion of 1.0 in k 4.276 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.276 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.276 * [taylor]: Taking taylor expansion of k in k 4.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.278 * [taylor]: Taking taylor expansion of 0.5 in k 4.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.278 * [taylor]: Taking taylor expansion of 1.0 in k 4.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.278 * [taylor]: Taking taylor expansion of k in k 4.278 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.278 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.278 * [taylor]: Taking taylor expansion of 2.0 in k 4.278 * [taylor]: Taking taylor expansion of PI in k 4.300 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 4.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.300 * [taylor]: Taking taylor expansion of 1.0 in k 4.301 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.301 * [taylor]: Taking taylor expansion of 0.5 in k 4.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.301 * [taylor]: Taking taylor expansion of k in k 4.301 * [taylor]: Taking taylor expansion of 1.0 in k 4.301 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.301 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.301 * [taylor]: Taking taylor expansion of 2.0 in k 4.301 * [taylor]: Taking taylor expansion of PI in k 4.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.304 * [taylor]: Taking taylor expansion of -1 in k 4.304 * [taylor]: Taking taylor expansion of k in k 4.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.306 * [taylor]: Taking taylor expansion of 1.0 in k 4.306 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.306 * [taylor]: Taking taylor expansion of 0.5 in k 4.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.306 * [taylor]: Taking taylor expansion of k in k 4.307 * [taylor]: Taking taylor expansion of 1.0 in k 4.307 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.307 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.307 * [taylor]: Taking taylor expansion of 2.0 in k 4.307 * [taylor]: Taking taylor expansion of PI in k 4.310 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.310 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.310 * [taylor]: Taking taylor expansion of -1 in k 4.310 * [taylor]: Taking taylor expansion of k in k 4.329 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.330 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.330 * [taylor]: Taking taylor expansion of 1.0 in k 4.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.330 * [taylor]: Taking taylor expansion of k in k 4.337 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.337 * [taylor]: Taking taylor expansion of 1.0 in k 4.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.337 * [taylor]: Taking taylor expansion of k in k 4.348 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.348 * [taylor]: Taking taylor expansion of k in k 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.349 * [taylor]: Taking taylor expansion of 1.0 in k 4.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.349 * [taylor]: Taking taylor expansion of k in k 4.360 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.360 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.360 * [taylor]: Taking taylor expansion of 1.0 in k 4.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.360 * [taylor]: Taking taylor expansion of -1 in k 4.360 * [taylor]: Taking taylor expansion of k in k 4.361 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.361 * [taylor]: Taking taylor expansion of 1.0 in k 4.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.361 * [taylor]: Taking taylor expansion of -1 in k 4.361 * [taylor]: Taking taylor expansion of k in k 4.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.373 * [approximate]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in (n k) around 0 4.373 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in k 4.373 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.373 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.373 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.374 * [taylor]: Taking taylor expansion of 0.5 in k 4.374 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.374 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.374 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.374 * [taylor]: Taking taylor expansion of 1.0 in k 4.374 * [taylor]: Taking taylor expansion of (log n) in k 4.374 * [taylor]: Taking taylor expansion of n in k 4.374 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in k 4.374 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in k 4.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in k 4.374 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in k 4.374 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.374 * [taylor]: Taking taylor expansion of 0.5 in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.374 * [taylor]: Taking taylor expansion of (log n) in k 4.374 * [taylor]: Taking taylor expansion of n in k 4.376 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in n 4.376 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in n 4.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in n 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in n 4.376 * [taylor]: Taking taylor expansion of 0.5 in n 4.376 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.376 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.376 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.376 * [taylor]: Taking taylor expansion of 1.0 in n 4.376 * [taylor]: Taking taylor expansion of (log n) in n 4.376 * [taylor]: Taking taylor expansion of n in n 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in n 4.377 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in n 4.377 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in n 4.377 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.377 * [taylor]: Taking taylor expansion of 0.5 in n 4.377 * [taylor]: Taking taylor expansion of k in n 4.377 * [taylor]: Taking taylor expansion of (log n) in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.378 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in n 4.378 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in n 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in n 4.378 * [taylor]: Taking taylor expansion of 0.5 in n 4.378 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.378 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.378 * [taylor]: Taking taylor expansion of 1.0 in n 4.378 * [taylor]: Taking taylor expansion of (log n) in n 4.378 * [taylor]: Taking taylor expansion of n in n 4.379 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in n 4.379 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in n 4.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in n 4.379 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in n 4.379 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.379 * [taylor]: Taking taylor expansion of 0.5 in n 4.379 * [taylor]: Taking taylor expansion of k in n 4.379 * [taylor]: Taking taylor expansion of (log n) in n 4.379 * [taylor]: Taking taylor expansion of n in n 4.380 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (exp (* 0.5 (* k (log n)))))) in k 4.380 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.380 * [taylor]: Taking taylor expansion of 0.5 in k 4.380 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.380 * [taylor]: Taking taylor expansion of 1.0 in k 4.380 * [taylor]: Taking taylor expansion of (log n) in k 4.380 * [taylor]: Taking taylor expansion of n in k 4.381 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (log n))))) in k 4.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (log n)))) in k 4.381 * [taylor]: Taking taylor expansion of (* 0.5 (* k (log n))) in k 4.381 * [taylor]: Taking taylor expansion of 0.5 in k 4.381 * [taylor]: Taking taylor expansion of (* k (log n)) in k 4.381 * [taylor]: Taking taylor expansion of k in k 4.381 * [taylor]: Taking taylor expansion of (log n) in k 4.381 * [taylor]: Taking taylor expansion of n in k 4.388 * [taylor]: Taking taylor expansion of 0 in k 4.400 * [taylor]: Taking taylor expansion of 0 in k 4.410 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in (n k) around 0 4.410 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in k 4.410 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in k 4.410 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in k 4.410 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in k 4.410 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in k 4.410 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.410 * [taylor]: Taking taylor expansion of 0.5 in k 4.410 * [taylor]: Taking taylor expansion of k in k 4.410 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.410 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.410 * [taylor]: Taking taylor expansion of n in k 4.410 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.410 * [taylor]: Taking taylor expansion of 0.5 in k 4.410 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.411 * [taylor]: Taking taylor expansion of 1.0 in k 4.411 * [taylor]: Taking taylor expansion of (log n) in k 4.411 * [taylor]: Taking taylor expansion of n in k 4.411 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in n 4.411 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in n 4.411 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in n 4.411 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in n 4.411 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.411 * [taylor]: Taking taylor expansion of 0.5 in n 4.411 * [taylor]: Taking taylor expansion of k in n 4.411 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.411 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.411 * [taylor]: Taking taylor expansion of n in n 4.412 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.412 * [taylor]: Taking taylor expansion of 0.5 in n 4.412 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.412 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.412 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.412 * [taylor]: Taking taylor expansion of 1.0 in n 4.412 * [taylor]: Taking taylor expansion of (log n) in n 4.412 * [taylor]: Taking taylor expansion of n in n 4.414 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in n 4.414 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in n 4.414 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in n 4.414 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in n 4.414 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.414 * [taylor]: Taking taylor expansion of 0.5 in n 4.414 * [taylor]: Taking taylor expansion of k in n 4.414 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.414 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.414 * [taylor]: Taking taylor expansion of n in n 4.415 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.415 * [taylor]: Taking taylor expansion of 0.5 in n 4.415 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.415 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.415 * [taylor]: Taking taylor expansion of 1.0 in n 4.415 * [taylor]: Taking taylor expansion of (log n) in n 4.415 * [taylor]: Taking taylor expansion of n in n 4.416 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow n 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log n) k))))) in k 4.416 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.416 * [taylor]: Taking taylor expansion of 0.5 in k 4.416 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.416 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.416 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.416 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.416 * [taylor]: Taking taylor expansion of 1.0 in k 4.416 * [taylor]: Taking taylor expansion of (log n) in k 4.416 * [taylor]: Taking taylor expansion of n in k 4.417 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log n) k)))) in k 4.417 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log n) k))) in k 4.417 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log n) k)) in k 4.417 * [taylor]: Taking taylor expansion of -0.5 in k 4.417 * [taylor]: Taking taylor expansion of (/ (log n) k) in k 4.417 * [taylor]: Taking taylor expansion of (log n) in k 4.417 * [taylor]: Taking taylor expansion of n in k 4.417 * [taylor]: Taking taylor expansion of k in k 4.430 * [taylor]: Taking taylor expansion of 0 in k 4.444 * [taylor]: Taking taylor expansion of 0 in k 4.464 * [taylor]: Taking taylor expansion of 0 in k 4.465 * [approximate]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in (n k) around 0 4.465 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in k 4.465 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.465 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.465 * [taylor]: Taking taylor expansion of 0.5 in k 4.465 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.465 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.465 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.465 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.465 * [taylor]: Taking taylor expansion of 1.0 in k 4.465 * [taylor]: Taking taylor expansion of (log -1) in k 4.465 * [taylor]: Taking taylor expansion of -1 in k 4.467 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.467 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.467 * [taylor]: Taking taylor expansion of 1.0 in k 4.467 * [taylor]: Taking taylor expansion of (log n) in k 4.467 * [taylor]: Taking taylor expansion of n in k 4.469 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in k 4.469 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in k 4.469 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in k 4.469 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in k 4.469 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.469 * [taylor]: Taking taylor expansion of -0.5 in k 4.469 * [taylor]: Taking taylor expansion of k in k 4.469 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.469 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.469 * [taylor]: Taking taylor expansion of -1 in k 4.469 * [taylor]: Taking taylor expansion of n in k 4.469 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in n 4.469 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.469 * [taylor]: Taking taylor expansion of 0.5 in n 4.469 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.469 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.469 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.470 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.470 * [taylor]: Taking taylor expansion of 1.0 in n 4.470 * [taylor]: Taking taylor expansion of (log -1) in n 4.470 * [taylor]: Taking taylor expansion of -1 in n 4.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.471 * [taylor]: Taking taylor expansion of 1.0 in n 4.471 * [taylor]: Taking taylor expansion of (log n) in n 4.471 * [taylor]: Taking taylor expansion of n in n 4.474 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in n 4.474 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in n 4.474 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in n 4.474 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.474 * [taylor]: Taking taylor expansion of -0.5 in n 4.474 * [taylor]: Taking taylor expansion of k in n 4.474 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.474 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.474 * [taylor]: Taking taylor expansion of -1 in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.476 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in n 4.476 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.476 * [taylor]: Taking taylor expansion of 0.5 in n 4.476 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.476 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.476 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [taylor]: Taking taylor expansion of (log -1) in n 4.476 * [taylor]: Taking taylor expansion of -1 in n 4.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.478 * [taylor]: Taking taylor expansion of 1.0 in n 4.478 * [taylor]: Taking taylor expansion of (log n) in n 4.478 * [taylor]: Taking taylor expansion of n in n 4.480 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in n 4.481 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in n 4.481 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in n 4.481 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in n 4.481 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.481 * [taylor]: Taking taylor expansion of -0.5 in n 4.481 * [taylor]: Taking taylor expansion of k in n 4.481 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.481 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.481 * [taylor]: Taking taylor expansion of -1 in n 4.481 * [taylor]: Taking taylor expansion of n in n 4.484 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (- (log -1) (log n)) k))))) in k 4.484 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.484 * [taylor]: Taking taylor expansion of 0.5 in k 4.484 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.484 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.484 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.484 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.484 * [taylor]: Taking taylor expansion of 1.0 in k 4.484 * [taylor]: Taking taylor expansion of (log -1) in k 4.484 * [taylor]: Taking taylor expansion of -1 in k 4.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.486 * [taylor]: Taking taylor expansion of 1.0 in k 4.486 * [taylor]: Taking taylor expansion of (log n) in k 4.486 * [taylor]: Taking taylor expansion of n in k 4.488 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (- (log -1) (log n)) k)))) in k 4.488 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log -1) (log n)) k))) in k 4.488 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log -1) (log n)) k)) in k 4.488 * [taylor]: Taking taylor expansion of -0.5 in k 4.488 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log n)) k) in k 4.488 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.488 * [taylor]: Taking taylor expansion of (log -1) in k 4.488 * [taylor]: Taking taylor expansion of -1 in k 4.488 * [taylor]: Taking taylor expansion of (log n) in k 4.488 * [taylor]: Taking taylor expansion of n in k 4.488 * [taylor]: Taking taylor expansion of k in k 4.503 * [taylor]: Taking taylor expansion of 0 in k 4.533 * [taylor]: Taking taylor expansion of 0 in k 4.569 * [taylor]: Taking taylor expansion of 0 in k 4.570 * * * [progress]: simplifying candidates 4.573 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (/ 1.0 2.0) (/ k 2.0)) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0)))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0)))) (- (log (pow n (/ 1.0 2.0))) (* (log n) (/ k 2.0))) (- (log (pow n (/ 1.0 2.0))) (* (log n) (/ k 2.0))) (- (log (pow n (/ 1.0 2.0))) (log (pow n (/ k 2.0)))) (log (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (exp (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (/ (* (* (pow n (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow n (/ k 2.0)) (pow n (/ k 2.0))) (pow n (/ k 2.0)))) (* (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (* (* (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (- (pow n (/ 1.0 2.0))) (- (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow 1 (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow (cbrt n) (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (cbrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) 1) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow 1 (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow (sqrt n) (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ (pow (sqrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (sqrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (sqrt n) (/ 1.0 2.0)) 1) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow 1 (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow 1 (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow 1 (/ 1.0 2.0)) (pow 1 (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow 1 (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ (pow 1 (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow 1 (/ 1.0 2.0)) 1) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow 1 (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (cbrt (pow n (/ 1.0 2.0))) (pow (cbrt n) (/ k 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow (sqrt n) (/ k 2.0))) (/ (cbrt (pow n (/ 1.0 2.0))) (pow (sqrt n) (/ k 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow 1 (/ k 2.0))) (/ (cbrt (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ k 2.0)))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (sqrt (pow n (/ k 2.0)))) (/ (cbrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ k 2.0)))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) 1) (/ (cbrt (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow n (/ (/ k 2.0) 2))) (/ (cbrt (pow n (/ 1.0 2.0))) (pow n (/ (/ k 2.0) 2))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (cbrt n) (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (sqrt n) (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow (sqrt n) (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow 1 (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (sqrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ k 2.0)))) (/ (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ k 2.0)))) (/ (sqrt (pow n (/ 1.0 2.0))) (sqrt (pow n (/ k 2.0)))) (/ (sqrt (pow n (/ 1.0 2.0))) 1) (/ (sqrt (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow n (/ (/ k 2.0) 2))) (/ (sqrt (pow n (/ 1.0 2.0))) (pow n (/ (/ k 2.0) 2))) (/ 1 (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ 1 (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ 1 (pow 1 (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1 (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ 1 (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ 1 1) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1 (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (cbrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow 1 (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ (/ 1.0 2.0) 2)) (cbrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) 1) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ 1 (pow n (/ k 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow 1 (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) 1) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ k 2.0)) (pow (cbrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (cbrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (sqrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ (/ 1.0 2.0) 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 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))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow (pow n 1.0) 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (* (/ 1 (exp (* -0.5 (* k (log (/ 1 n)))))) (pow (pow n 1.0) 0.5)) (* (pow (pow n 1.0) 0.5) (/ 1 (exp (* 0.5 (* k (- (log -1) (log (/ -1 n)))))))) 4.585 * * [simplify]: iteration 0 : 959 enodes (cost 2011 ) 4.602 * * [simplify]: iteration 1 : 4062 enodes (cost 1915 ) 4.660 * * [simplify]: iteration 2 : 5002 enodes (cost 1910 ) 4.671 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 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n (/ k 2.0))) (/ 1 (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ 1 (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) 1 (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1 (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (cbrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (pow n (/ (/ 1.0 2.0) 2)) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ (/ 1.0 2.0) 2)) (cbrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (pow n (/ (/ 1.0 2.0) 2)) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ 1 (pow n (/ k 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (pow n (/ 1.0 2.0)) (/ (pow n (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (pow n (/ 1.0 2.0)) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ k 2.0)) (pow (cbrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (cbrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (sqrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ (/ 1.0 2.0) 2))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (* (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) 1) (pow (pow n 1.0) 0.5))) (* (/ 1 (exp (* -0.5 (* k (log (/ 1 n)))))) (pow (pow n 1.0) 0.5)) (* (pow (pow n 1.0) 0.5) (/ 1 (exp (* 0.5 (* k (- (log -1) (log (/ -1 n)))))))) 4.672 * * * [progress]: adding candidates to table 5.288 * [progress]: [Phase 3 of 3] Extracting. 5.288 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.290 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.290 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.329 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.351 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.388 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.426 * * * [regime]: Found split indices: #