11.830 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.089 * [progress]: [Phase 2 of 3] Improving. 0.090 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.090 * [simplify]: Sending expressions to egg_math: (* (/ h0 (sqrt h1)) (pow (* (* h2 h3) h4) (/ (- h0 h1) h2))) 0.092 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.094 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.096 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.098 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.104 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.127 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.127 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.128 * * [progress]: iteration 1 / 4 0.128 * * * [progress]: picking best candidate 0.130 * * * * [pick]: Picked # 0.130 * * * [progress]: localizing error 0.142 * * * [progress]: generating rewritten candidates 0.142 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.162 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.168 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.187 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.230 * * * [progress]: generating series expansions 0.230 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.231 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.231 * [taylor]: Taking taylor expansion of 0.5 in k 0.231 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.231 * [taylor]: Taking taylor expansion of 1.0 in k 0.231 * [taylor]: Taking taylor expansion of k in k 0.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.231 * [taylor]: Taking taylor expansion of 2.0 in k 0.231 * [taylor]: Taking taylor expansion of (* n PI) in k 0.231 * [taylor]: Taking taylor expansion of n in k 0.231 * [taylor]: Taking taylor expansion of PI in k 0.232 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.232 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.232 * [taylor]: Taking taylor expansion of 0.5 in n 0.232 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.232 * [taylor]: Taking taylor expansion of 1.0 in n 0.232 * [taylor]: Taking taylor expansion of k in n 0.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.232 * [taylor]: Taking taylor expansion of 2.0 in n 0.232 * [taylor]: Taking taylor expansion of (* n PI) in n 0.232 * [taylor]: Taking taylor expansion of n in n 0.232 * [taylor]: Taking taylor expansion of PI in n 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.237 * [taylor]: Taking taylor expansion of 0.5 in n 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.237 * [taylor]: Taking taylor expansion of 1.0 in n 0.237 * [taylor]: Taking taylor expansion of k in n 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.237 * [taylor]: Taking taylor expansion of 2.0 in n 0.237 * [taylor]: Taking taylor expansion of (* n PI) in n 0.237 * [taylor]: Taking taylor expansion of n in n 0.237 * [taylor]: Taking taylor expansion of PI in n 0.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.242 * [taylor]: Taking taylor expansion of 0.5 in k 0.242 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [taylor]: Taking taylor expansion of k in k 0.242 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.242 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.242 * [taylor]: Taking taylor expansion of 2.0 in k 0.242 * [taylor]: Taking taylor expansion of PI in k 0.243 * [taylor]: Taking taylor expansion of (log n) in k 0.243 * [taylor]: Taking taylor expansion of n in k 0.256 * [taylor]: Taking taylor expansion of 0 in k 0.270 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.289 * [taylor]: Taking taylor expansion of 2.0 in k 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.289 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.294 * [taylor]: Taking taylor expansion of 0.5 in n 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.294 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.294 * [taylor]: Taking taylor expansion of k in n 0.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.294 * [taylor]: Taking taylor expansion of 2.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.294 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.297 * [taylor]: Taking taylor expansion of 0.5 in k 0.297 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.297 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.297 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.297 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.297 * [taylor]: Taking taylor expansion of 2.0 in k 0.297 * [taylor]: Taking taylor expansion of PI in k 0.298 * [taylor]: Taking taylor expansion of (log n) in k 0.298 * [taylor]: Taking taylor expansion of n in k 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.298 * [taylor]: Taking taylor expansion of 1.0 in k 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.324 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.324 * [taylor]: Taking taylor expansion of 0.5 in k 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.324 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of 1.0 in k 0.324 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.324 * [taylor]: Taking taylor expansion of -2.0 in k 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.324 * [taylor]: Taking taylor expansion of PI in k 0.324 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.325 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.325 * [taylor]: Taking taylor expansion of -2.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.329 * [taylor]: Taking taylor expansion of 0.5 in n 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.329 * [taylor]: Taking taylor expansion of k in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.329 * [taylor]: Taking taylor expansion of -2.0 in n 0.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.332 * [taylor]: Taking taylor expansion of 0.5 in k 0.332 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.333 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.333 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.333 * [taylor]: Taking taylor expansion of -2.0 in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.334 * [taylor]: Taking taylor expansion of (log n) in k 0.334 * [taylor]: Taking taylor expansion of n in k 0.348 * [taylor]: Taking taylor expansion of 0 in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.364 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.365 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.387 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.387 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.387 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.387 * [taylor]: Taking taylor expansion of -1 in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.388 * [taylor]: Taking taylor expansion of -1 in k 0.388 * [taylor]: Taking taylor expansion of k in k 0.399 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.399 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.399 * [taylor]: Taking taylor expansion of 2.0 in n 0.399 * [taylor]: Taking taylor expansion of (* n PI) in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of PI in n 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.399 * [taylor]: Taking taylor expansion of 2.0 in n 0.399 * [taylor]: Taking taylor expansion of (* n PI) in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of PI in n 0.411 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.411 * [taylor]: Taking taylor expansion of 2.0 in n 0.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.411 * [taylor]: Taking taylor expansion of PI in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.411 * [taylor]: Taking taylor expansion of 2.0 in n 0.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.411 * [taylor]: Taking taylor expansion of PI in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.420 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.420 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of -2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.420 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.420 * [taylor]: Taking taylor expansion of -2.0 in n 0.420 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.420 * [taylor]: Taking taylor expansion of n in n 0.435 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.436 * [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 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.436 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.436 * [taylor]: Taking taylor expansion of k in n 0.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.436 * [taylor]: Taking taylor expansion of 0.5 in n 0.436 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.436 * [taylor]: Taking taylor expansion of k in n 0.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.436 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.436 * [taylor]: Taking taylor expansion of 2.0 in n 0.436 * [taylor]: Taking taylor expansion of (* n PI) in n 0.436 * [taylor]: Taking taylor expansion of n in n 0.436 * [taylor]: Taking taylor expansion of PI in n 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.442 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.442 * [taylor]: Taking taylor expansion of 0.5 in k 0.442 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.442 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.443 * [taylor]: Taking taylor expansion of 2.0 in k 0.443 * [taylor]: Taking taylor expansion of (* n PI) in k 0.443 * [taylor]: Taking taylor expansion of n in k 0.443 * [taylor]: Taking taylor expansion of PI in k 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.443 * [taylor]: Taking taylor expansion of 1.0 in k 0.443 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.444 * [taylor]: Taking taylor expansion of k in k 0.445 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.445 * [taylor]: Taking taylor expansion of 0.5 in k 0.445 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.445 * [taylor]: Taking taylor expansion of 1.0 in k 0.445 * [taylor]: Taking taylor expansion of k in k 0.445 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.445 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.445 * [taylor]: Taking taylor expansion of 2.0 in k 0.445 * [taylor]: Taking taylor expansion of (* n PI) in k 0.445 * [taylor]: Taking taylor expansion of n in k 0.445 * [taylor]: Taking taylor expansion of PI in k 0.446 * [taylor]: Taking taylor expansion of 0 in n 0.451 * [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 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of +nan.0 in n 0.451 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.451 * [taylor]: Taking taylor expansion of 0.5 in n 0.451 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.451 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.451 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log PI) in n 0.451 * [taylor]: Taking taylor expansion of PI in n 0.453 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [taylor]: Taking taylor expansion of (log n) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.472 * [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 0.472 * [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 0.472 * [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 0.472 * [taylor]: Taking taylor expansion of +nan.0 in n 0.472 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.472 * [taylor]: Taking taylor expansion of 0.5 in n 0.472 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.472 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [taylor]: Taking taylor expansion of (log PI) in n 0.472 * [taylor]: Taking taylor expansion of PI in n 0.474 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [taylor]: Taking taylor expansion of (log n) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.475 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.475 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.475 * [taylor]: Taking taylor expansion of 1.0 in n 0.475 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.475 * [taylor]: Taking taylor expansion of 2.0 in n 0.480 * [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 0.480 * [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 0.480 * [taylor]: Taking taylor expansion of +nan.0 in n 0.480 * [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 0.480 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.480 * [taylor]: Taking taylor expansion of 0.5 in n 0.480 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.480 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.480 * [taylor]: Taking taylor expansion of 1.0 in n 0.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.480 * [taylor]: Taking taylor expansion of 2.0 in n 0.482 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.482 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (log PI) in n 0.482 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.483 * [taylor]: Taking taylor expansion of 1.0 in n 0.483 * [taylor]: Taking taylor expansion of (log n) in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.487 * [taylor]: Taking taylor expansion of 2.0 in n 0.487 * [taylor]: Taking taylor expansion of (* n PI) in n 0.487 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of PI in n 0.542 * [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 0.542 * [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 0.542 * [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 0.542 * [taylor]: Taking taylor expansion of +nan.0 in n 0.542 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.542 * [taylor]: Taking taylor expansion of 0.5 in n 0.542 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.542 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.542 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.542 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log n) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log PI) in n 0.544 * [taylor]: Taking taylor expansion of PI in n 0.549 * [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 0.549 * [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 0.549 * [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 0.549 * [taylor]: Taking taylor expansion of +nan.0 in n 0.549 * [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 0.549 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.549 * [taylor]: Taking taylor expansion of 0.5 in n 0.550 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.550 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.550 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.550 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.550 * [taylor]: Taking taylor expansion of 1.0 in n 0.550 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.550 * [taylor]: Taking taylor expansion of 2.0 in n 0.551 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.551 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.551 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.551 * [taylor]: Taking taylor expansion of 1.0 in n 0.551 * [taylor]: Taking taylor expansion of (log PI) in n 0.551 * [taylor]: Taking taylor expansion of PI in n 0.553 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.553 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.553 * [taylor]: Taking taylor expansion of 1.0 in n 0.553 * [taylor]: Taking taylor expansion of (log n) in n 0.553 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.557 * [taylor]: Taking taylor expansion of 2.0 in n 0.557 * [taylor]: Taking taylor expansion of (* n PI) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of PI in n 0.560 * [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 0.560 * [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 0.560 * [taylor]: Taking taylor expansion of +nan.0 in n 0.560 * [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 0.560 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.560 * [taylor]: Taking taylor expansion of 0.5 in n 0.560 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.560 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.560 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.560 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.560 * [taylor]: Taking taylor expansion of 1.0 in n 0.560 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.560 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log PI) in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.564 * [taylor]: Taking taylor expansion of 1.0 in n 0.564 * [taylor]: Taking taylor expansion of (log n) in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.568 * [taylor]: Taking taylor expansion of 2.0 in n 0.568 * [taylor]: Taking taylor expansion of (* n PI) in n 0.568 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.645 * [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 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.646 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.646 * [taylor]: Taking taylor expansion of k in n 0.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.646 * [taylor]: Taking taylor expansion of 0.5 in n 0.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.646 * [taylor]: Taking taylor expansion of k in n 0.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.649 * [taylor]: Taking taylor expansion of 1.0 in k 0.649 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.649 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.649 * [taylor]: Taking taylor expansion of k in k 0.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.651 * [taylor]: Taking taylor expansion of 0.5 in k 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.651 * [taylor]: Taking taylor expansion of 1.0 in k 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.651 * [taylor]: Taking taylor expansion of 2.0 in k 0.651 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.651 * [taylor]: Taking taylor expansion of PI in k 0.651 * [taylor]: Taking taylor expansion of n in k 0.652 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.652 * [taylor]: Taking taylor expansion of 1.0 in k 0.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.652 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.652 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of 2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.653 * [taylor]: Taking taylor expansion of n in k 0.655 * [taylor]: Taking taylor expansion of 0 in n 0.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.656 * [taylor]: Taking taylor expansion of +nan.0 in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.656 * [taylor]: Taking taylor expansion of 2.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.665 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.665 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.665 * [taylor]: Taking taylor expansion of +nan.0 in n 0.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.665 * [taylor]: Taking taylor expansion of 0.5 in n 0.665 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.665 * [taylor]: Taking taylor expansion of 2.0 in n 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.665 * [taylor]: Taking taylor expansion of PI in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.666 * [taylor]: Taking taylor expansion of k in n 0.681 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.681 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.681 * [taylor]: Taking taylor expansion of +nan.0 in n 0.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.681 * [taylor]: Taking taylor expansion of 0.5 in n 0.681 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.681 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.681 * [taylor]: Taking taylor expansion of 2.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.691 * [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 0.691 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.691 * [taylor]: Taking taylor expansion of 1.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.691 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.691 * [taylor]: Taking taylor expansion of k in n 0.691 * [taylor]: Taking taylor expansion of 1.0 in n 0.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of -2.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.695 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.695 * [taylor]: Taking taylor expansion of -1 in n 0.695 * [taylor]: Taking taylor expansion of k in n 0.696 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.696 * [taylor]: Taking taylor expansion of 1.0 in k 0.696 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.696 * [taylor]: Taking taylor expansion of 0.5 in k 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [taylor]: Taking taylor expansion of 1.0 in k 0.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.696 * [taylor]: Taking taylor expansion of -2.0 in k 0.696 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.696 * [taylor]: Taking taylor expansion of PI in k 0.696 * [taylor]: Taking taylor expansion of n in k 0.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.697 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.697 * [taylor]: Taking taylor expansion of -1 in k 0.697 * [taylor]: Taking taylor expansion of k in k 0.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.699 * [taylor]: Taking taylor expansion of 1.0 in k 0.699 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.699 * [taylor]: Taking taylor expansion of 0.5 in k 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.699 * [taylor]: Taking taylor expansion of k in k 0.699 * [taylor]: Taking taylor expansion of 1.0 in k 0.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.699 * [taylor]: Taking taylor expansion of -2.0 in k 0.699 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.699 * [taylor]: Taking taylor expansion of PI in k 0.699 * [taylor]: Taking taylor expansion of n in k 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.700 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.700 * [taylor]: Taking taylor expansion of -1 in k 0.700 * [taylor]: Taking taylor expansion of k in k 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.701 * [taylor]: Taking taylor expansion of +nan.0 in n 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of -2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.715 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.715 * [taylor]: Taking taylor expansion of +nan.0 in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.715 * [taylor]: Taking taylor expansion of 0.5 in n 0.715 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.716 * [taylor]: Taking taylor expansion of -2.0 in n 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.716 * [taylor]: Taking taylor expansion of PI in n 0.716 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.732 * [taylor]: Taking taylor expansion of +nan.0 in n 0.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.732 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of -2.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.741 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* 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h1)) (- (+ (* h9 (* (* (pow h4 2) (pow (log (* h0 h1)) 2)) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log (* h0 h1))) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (* (log (* h0 h1)) (log h2))) (pow (* (pow h1 h3) (* (pow h0 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log (* h0 h1))) (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6))) (- (+ (* h9 (* (* (pow h4 2) (pow (log h2) 2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (* (* h4 (log h2)) (pow (* (pow h0 h3) (* (pow h1 h3) (pow h2 h3))) h6))) (- (+ (* h9 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)) (- (+ (* h9 (* (pow h4 2) (pow (* (pow h1 h3) (* (pow h2 h3) (pow h0 h3))) h6))) (- (* h9 (* h4 (pow (* (pow h0 h3) (* (pow h2 h3) (pow h1 h3))) h6)))))))))))))))))))))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 3))) (- (+ (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) h4)) (- (* h9 (/ (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (pow h4 2)))))))) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) h4)) (- (+ (* h9 (/ (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (pow h4 2))) (- (* h9 (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))))))))) 0.754 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.772 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 0.837 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 0.844 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 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n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.845 * * * [progress]: adding candidates to table 1.286 * * [progress]: iteration 2 / 4 1.286 * * * [progress]: picking best candidate 1.317 * * * * [pick]: Picked # 1.317 * * * [progress]: localizing error 1.337 * * * [progress]: generating rewritten candidates 1.337 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.362 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.395 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.453 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.454 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.454 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.454 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.454 * [taylor]: Taking taylor expansion of 0.25 in k 1.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.454 * [taylor]: Taking taylor expansion of 2.0 in k 1.454 * [taylor]: Taking taylor expansion of (* n PI) in k 1.454 * [taylor]: Taking taylor expansion of n in k 1.454 * [taylor]: Taking taylor expansion of PI in k 1.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.455 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.455 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.455 * [taylor]: Taking taylor expansion of 0.25 in n 1.455 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.455 * [taylor]: Taking taylor expansion of 1.0 in n 1.455 * [taylor]: Taking taylor expansion of k in n 1.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.455 * [taylor]: Taking taylor expansion of 2.0 in n 1.455 * [taylor]: Taking taylor expansion of (* n PI) in n 1.455 * [taylor]: Taking taylor expansion of n in n 1.455 * [taylor]: Taking taylor expansion of PI in n 1.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.460 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.460 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.460 * [taylor]: Taking taylor expansion of 0.25 in n 1.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.460 * [taylor]: Taking taylor expansion of 1.0 in n 1.460 * [taylor]: Taking taylor expansion of k in n 1.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.461 * [taylor]: Taking taylor expansion of 2.0 in n 1.461 * [taylor]: Taking taylor expansion of (* n PI) in n 1.461 * [taylor]: Taking taylor expansion of n in n 1.461 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.465 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.466 * [taylor]: Taking taylor expansion of 0.25 in k 1.466 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.466 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.466 * [taylor]: Taking taylor expansion of 1.0 in k 1.466 * [taylor]: Taking taylor expansion of k in k 1.466 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) 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 1.467 * [taylor]: Taking taylor expansion of (log n) in k 1.467 * [taylor]: Taking taylor expansion of n in k 1.476 * [taylor]: Taking taylor expansion of 0 in k 1.491 * [taylor]: Taking taylor expansion of 0 in k 1.508 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.509 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.509 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.509 * [taylor]: Taking taylor expansion of 0.25 in k 1.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.509 * [taylor]: Taking taylor expansion of 1.0 in k 1.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.509 * [taylor]: Taking taylor expansion of 2.0 in k 1.509 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.509 * [taylor]: Taking taylor expansion of PI in k 1.509 * [taylor]: Taking taylor expansion of n in k 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.510 * [taylor]: Taking taylor expansion of 0.25 in n 1.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.510 * [taylor]: Taking taylor expansion of 1.0 in n 1.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.510 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.514 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.514 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.514 * [taylor]: Taking taylor expansion of 0.25 in n 1.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.514 * [taylor]: Taking taylor expansion of 1.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.514 * [taylor]: Taking taylor expansion of k in n 1.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.514 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.514 * [taylor]: Taking taylor expansion of 2.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.517 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.517 * [taylor]: Taking taylor expansion of 0.25 in k 1.517 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.517 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.517 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.517 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.517 * [taylor]: Taking taylor expansion of 2.0 in k 1.517 * [taylor]: Taking taylor expansion of PI in k 1.518 * [taylor]: Taking taylor expansion of (log n) in k 1.518 * [taylor]: Taking taylor expansion of n in k 1.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.518 * [taylor]: Taking taylor expansion of 1.0 in k 1.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.518 * [taylor]: Taking taylor expansion of k in k 1.527 * [taylor]: Taking taylor expansion of 0 in k 1.535 * [taylor]: Taking taylor expansion of 0 in k 1.549 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.551 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.551 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.551 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.551 * [taylor]: Taking taylor expansion of 0.25 in k 1.551 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.551 * [taylor]: Taking taylor expansion of k in k 1.551 * [taylor]: Taking taylor expansion of 1.0 in k 1.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.551 * [taylor]: Taking taylor expansion of -2.0 in k 1.551 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.551 * [taylor]: Taking taylor expansion of PI in k 1.551 * [taylor]: Taking taylor expansion of n in k 1.552 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.552 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.552 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.552 * [taylor]: Taking taylor expansion of 0.25 in n 1.552 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.552 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.552 * [taylor]: Taking taylor expansion of k in n 1.552 * [taylor]: Taking taylor expansion of 1.0 in n 1.552 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.552 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.552 * [taylor]: Taking taylor expansion of -2.0 in n 1.552 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.552 * [taylor]: Taking taylor expansion of PI in n 1.552 * [taylor]: Taking taylor expansion of n in n 1.556 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.556 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.556 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.556 * [taylor]: Taking taylor expansion of 0.25 in n 1.556 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.556 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.556 * [taylor]: Taking taylor expansion of k in n 1.556 * [taylor]: Taking taylor expansion of 1.0 in n 1.556 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.556 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.556 * [taylor]: Taking taylor expansion of -2.0 in n 1.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.556 * [taylor]: Taking taylor expansion of PI in n 1.556 * [taylor]: Taking taylor expansion of n in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.559 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.559 * [taylor]: Taking taylor expansion of 0.25 in k 1.559 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.559 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.559 * [taylor]: Taking taylor expansion of k in k 1.560 * [taylor]: Taking taylor expansion of 1.0 in k 1.560 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.560 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.560 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.560 * [taylor]: Taking taylor expansion of -2.0 in k 1.560 * [taylor]: Taking taylor expansion of PI in k 1.561 * [taylor]: Taking taylor expansion of (log n) in k 1.561 * [taylor]: Taking taylor expansion of n in k 1.569 * [taylor]: Taking taylor expansion of 0 in k 1.575 * [taylor]: Taking taylor expansion of 0 in k 1.584 * [taylor]: Taking taylor expansion of 0 in k 1.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.585 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.585 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.585 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.585 * [taylor]: Taking taylor expansion of 0.25 in k 1.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.585 * [taylor]: Taking taylor expansion of 1.0 in k 1.585 * [taylor]: Taking taylor expansion of k in k 1.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.586 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.586 * [taylor]: Taking taylor expansion of 2.0 in k 1.586 * [taylor]: Taking taylor expansion of (* n PI) in k 1.586 * [taylor]: Taking taylor expansion of n in k 1.586 * [taylor]: Taking taylor expansion of PI in k 1.586 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.586 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.586 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.587 * [taylor]: Taking taylor expansion of 0.25 in n 1.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.587 * [taylor]: Taking taylor expansion of 1.0 in n 1.587 * [taylor]: Taking taylor expansion of k in n 1.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.587 * [taylor]: Taking taylor expansion of 2.0 in n 1.587 * [taylor]: Taking taylor expansion of (* n PI) in n 1.587 * [taylor]: Taking taylor expansion of n in n 1.587 * [taylor]: Taking taylor expansion of PI in n 1.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.592 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.592 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.592 * [taylor]: Taking taylor expansion of 0.25 in n 1.592 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.592 * [taylor]: Taking taylor expansion of 1.0 in n 1.592 * [taylor]: Taking taylor expansion of k in n 1.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.592 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.592 * [taylor]: Taking taylor expansion of 2.0 in n 1.592 * [taylor]: Taking taylor expansion of (* n PI) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of PI in n 1.596 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.597 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.597 * [taylor]: Taking taylor expansion of 0.25 in k 1.597 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of k in k 1.597 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.597 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.597 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.597 * [taylor]: Taking taylor expansion of 2.0 in k 1.597 * [taylor]: Taking taylor expansion of PI in k 1.598 * [taylor]: Taking taylor expansion of (log n) in k 1.598 * [taylor]: Taking taylor expansion of n in k 1.606 * [taylor]: Taking taylor expansion of 0 in k 1.621 * [taylor]: Taking taylor expansion of 0 in k 1.646 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.646 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.646 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.646 * [taylor]: Taking taylor expansion of 0.25 in k 1.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.646 * [taylor]: Taking taylor expansion of k in k 1.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.647 * [taylor]: Taking taylor expansion of 2.0 in k 1.647 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.647 * [taylor]: Taking taylor expansion of PI in k 1.647 * [taylor]: Taking taylor expansion of n in k 1.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.648 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.648 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.648 * [taylor]: Taking taylor expansion of 0.25 in n 1.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.648 * [taylor]: Taking taylor expansion of 1.0 in n 1.648 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.648 * [taylor]: Taking taylor expansion of k in n 1.648 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.648 * [taylor]: Taking taylor expansion of 2.0 in n 1.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.648 * [taylor]: Taking taylor expansion of PI in n 1.648 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.651 * [taylor]: Taking taylor expansion of 0.25 in n 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.651 * [taylor]: Taking taylor expansion of k in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.655 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.655 * [taylor]: Taking taylor expansion of 0.25 in k 1.655 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.655 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.655 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.655 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.655 * [taylor]: Taking taylor expansion of 2.0 in k 1.655 * [taylor]: Taking taylor expansion of PI in k 1.656 * [taylor]: Taking taylor expansion of (log n) in k 1.656 * [taylor]: Taking taylor expansion of n in k 1.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.656 * [taylor]: Taking taylor expansion of 1.0 in k 1.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.656 * [taylor]: Taking taylor expansion of k in k 1.665 * [taylor]: Taking taylor expansion of 0 in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.680 * [taylor]: Taking taylor expansion of 0 in k 1.681 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.681 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.681 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.681 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.681 * [taylor]: Taking taylor expansion of 0.25 in k 1.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.681 * [taylor]: Taking taylor expansion of k in k 1.682 * [taylor]: Taking taylor expansion of 1.0 in k 1.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.682 * [taylor]: Taking taylor expansion of -2.0 in k 1.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.682 * [taylor]: Taking taylor expansion of PI in k 1.682 * [taylor]: Taking taylor expansion of n in k 1.683 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.683 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.683 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.683 * [taylor]: Taking taylor expansion of 0.25 in n 1.683 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.683 * [taylor]: Taking taylor expansion of k in n 1.683 * [taylor]: Taking taylor expansion of 1.0 in n 1.683 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.683 * [taylor]: Taking taylor expansion of -2.0 in n 1.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.686 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.686 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.686 * [taylor]: Taking taylor expansion of 0.25 in n 1.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.687 * [taylor]: Taking taylor expansion of k in n 1.687 * [taylor]: Taking taylor expansion of 1.0 in n 1.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.687 * [taylor]: Taking taylor expansion of -2.0 in n 1.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.690 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.690 * [taylor]: Taking taylor expansion of 0.25 in k 1.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.690 * [taylor]: Taking taylor expansion of k in k 1.690 * [taylor]: Taking taylor expansion of 1.0 in k 1.690 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.691 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.691 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.691 * [taylor]: Taking taylor expansion of -2.0 in k 1.691 * [taylor]: Taking taylor expansion of PI in k 1.691 * [taylor]: Taking taylor expansion of (log n) in k 1.691 * [taylor]: Taking taylor expansion of n in k 1.700 * [taylor]: Taking taylor expansion of 0 in k 1.707 * [taylor]: Taking taylor expansion of 0 in k 1.715 * [taylor]: Taking taylor expansion of 0 in k 1.716 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.716 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.716 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.716 * [taylor]: Taking taylor expansion of 1.0 in k 1.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.716 * [taylor]: Taking taylor expansion of k in k 1.718 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.718 * [taylor]: Taking taylor expansion of 1.0 in k 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.718 * [taylor]: Taking taylor expansion of k in k 1.735 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.735 * [taylor]: Taking taylor expansion of 1.0 in k 1.735 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.736 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.736 * [taylor]: Taking taylor expansion of k in k 1.746 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.746 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.746 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.746 * [taylor]: Taking taylor expansion of -1 in k 1.746 * [taylor]: Taking taylor expansion of k in k 1.747 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.747 * [taylor]: Taking taylor expansion of 1.0 in k 1.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.747 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.747 * [taylor]: Taking taylor expansion of -1 in k 1.747 * [taylor]: Taking taylor expansion of k in k 1.758 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.759 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.759 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.760 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.760 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.760 * [taylor]: Taking taylor expansion of 0.25 in k 1.760 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [taylor]: Taking taylor expansion of k in k 1.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.760 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.760 * [taylor]: Taking taylor expansion of 2.0 in k 1.760 * [taylor]: Taking taylor expansion of (* n PI) in k 1.760 * [taylor]: Taking taylor expansion of n in k 1.760 * [taylor]: Taking taylor expansion of PI in k 1.761 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.761 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.761 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.761 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.761 * [taylor]: Taking taylor expansion of 0.25 in n 1.761 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.761 * [taylor]: Taking taylor expansion of 1.0 in n 1.761 * [taylor]: Taking taylor expansion of k in n 1.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.761 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.761 * [taylor]: Taking taylor expansion of 2.0 in n 1.761 * [taylor]: Taking taylor expansion of (* n PI) in n 1.761 * [taylor]: Taking taylor expansion of n in n 1.761 * [taylor]: Taking taylor expansion of PI in n 1.766 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.766 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.766 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.766 * [taylor]: Taking taylor expansion of 0.25 in n 1.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.766 * [taylor]: Taking taylor expansion of 1.0 in n 1.766 * [taylor]: Taking taylor expansion of k in n 1.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.766 * [taylor]: Taking taylor expansion of 2.0 in n 1.766 * [taylor]: Taking taylor expansion of (* n PI) in n 1.766 * [taylor]: Taking taylor expansion of n in n 1.766 * [taylor]: Taking taylor expansion of PI in n 1.772 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.772 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.772 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.773 * [taylor]: Taking taylor expansion of 0.25 in k 1.773 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.773 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.773 * [taylor]: Taking taylor expansion of 1.0 in k 1.773 * [taylor]: Taking taylor expansion of k in k 1.773 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.773 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.773 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.773 * [taylor]: Taking taylor expansion of 2.0 in k 1.773 * [taylor]: Taking taylor expansion of PI in k 1.774 * [taylor]: Taking taylor expansion of (log n) in k 1.774 * [taylor]: Taking taylor expansion of n in k 1.785 * [taylor]: Taking taylor expansion of 0 in k 1.806 * [taylor]: Taking taylor expansion of 0 in k 1.846 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.846 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.846 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.846 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.846 * [taylor]: Taking taylor expansion of 0.25 in k 1.846 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.846 * [taylor]: Taking taylor expansion of 2.0 in k 1.846 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.846 * [taylor]: Taking taylor expansion of PI in k 1.847 * [taylor]: Taking taylor expansion of n in k 1.847 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.847 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.848 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.848 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.848 * [taylor]: Taking taylor expansion of 0.25 in n 1.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.848 * [taylor]: Taking taylor expansion of k in n 1.848 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.848 * [taylor]: Taking taylor expansion of 2.0 in n 1.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.848 * [taylor]: Taking taylor expansion of PI in n 1.848 * [taylor]: Taking taylor expansion of n in n 1.851 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.851 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.851 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.851 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.851 * [taylor]: Taking taylor expansion of 0.25 in n 1.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.851 * [taylor]: Taking taylor expansion of 1.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.851 * [taylor]: Taking taylor expansion of k in n 1.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.851 * [taylor]: Taking taylor expansion of 2.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.851 * [taylor]: Taking taylor expansion of PI in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.856 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.856 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.856 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.856 * [taylor]: Taking taylor expansion of 0.25 in k 1.856 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.856 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.856 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.856 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.856 * [taylor]: Taking taylor expansion of 2.0 in k 1.856 * [taylor]: Taking taylor expansion of PI in k 1.857 * [taylor]: Taking taylor expansion of (log n) in k 1.857 * [taylor]: Taking taylor expansion of n in k 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.857 * [taylor]: Taking taylor expansion of 1.0 in k 1.857 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.857 * [taylor]: Taking taylor expansion of k in k 1.869 * [taylor]: Taking taylor expansion of 0 in k 1.879 * [taylor]: Taking taylor expansion of 0 in k 1.891 * [taylor]: Taking taylor expansion of 0 in k 1.893 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.893 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.893 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.893 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.893 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.893 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.893 * [taylor]: Taking taylor expansion of 0.25 in k 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.893 * [taylor]: Taking taylor expansion of k in k 1.893 * [taylor]: Taking taylor expansion of 1.0 in k 1.893 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.894 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.894 * [taylor]: Taking taylor expansion of -2.0 in k 1.894 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.894 * [taylor]: Taking taylor expansion of PI in k 1.894 * [taylor]: Taking taylor expansion of n in k 1.894 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.894 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.894 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.894 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.894 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.894 * [taylor]: Taking taylor expansion of 0.25 in n 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.895 * [taylor]: Taking taylor expansion of k in n 1.895 * [taylor]: Taking taylor expansion of 1.0 in n 1.895 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.895 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.895 * [taylor]: Taking taylor expansion of -2.0 in n 1.895 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.895 * [taylor]: Taking taylor expansion of PI in n 1.895 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.898 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.898 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.898 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.898 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.898 * [taylor]: Taking taylor expansion of 0.25 in n 1.898 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.898 * [taylor]: Taking taylor expansion of k in n 1.898 * [taylor]: Taking taylor expansion of 1.0 in n 1.898 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.898 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.898 * [taylor]: Taking taylor expansion of -2.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.903 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.903 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.903 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.903 * [taylor]: Taking taylor expansion of 0.25 in k 1.903 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.903 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.903 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.903 * [taylor]: Taking taylor expansion of k in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.904 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.904 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.904 * [taylor]: Taking taylor expansion of -2.0 in k 1.904 * [taylor]: Taking taylor expansion of PI in k 1.910 * [taylor]: Taking taylor expansion of (log n) in k 1.910 * [taylor]: Taking taylor expansion of n in k 1.922 * [taylor]: Taking taylor expansion of 0 in k 1.931 * [taylor]: Taking taylor expansion of 0 in k 1.943 * [taylor]: Taking taylor expansion of 0 in k 1.944 * * * [progress]: simplifying candidates 1.949 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) 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(log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (- (+ (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (+ (* h6 (* (pow h4 2) (* (log (* h0 h1)) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2))))) (+ (* h10 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h10 (* (pow h4 2) (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (pow (log h2) 2))))))) (+ (* h11 (* h4 (* (log (* h0 h1)) (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2)))) (* h11 (* h4 (* (pow (exp (* h6 (+ (log (* h0 h1)) (log h2)))) 2) (log h2)))))) (pow (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) 2) (pow (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) 2) 1.963 * * [simplify]: iteration 0 : 1001 enodes (cost 2614 ) 1.979 * * [simplify]: iteration 1 : 3960 enodes (cost 2403 ) 2.039 * * [simplify]: iteration 2 : 5002 enodes (cost 2356 ) 2.049 * [simplify]: Simplified to: (expm1 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PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log1p (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) 2) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (fma (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (pow (* (* 2.0 PI) n) 0.25) 2)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (pow (pow (* (* 2.0 PI) n) 0.25) 2)))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 2.051 * * * [progress]: adding candidates to table 2.862 * * [progress]: iteration 3 / 4 2.862 * * * [progress]: picking best candidate 2.896 * * * * [pick]: Picked # 2.896 * * * [progress]: localizing error 2.913 * * * [progress]: generating rewritten candidates 2.913 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.940 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.965 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.042 * * * [progress]: generating series expansions 3.042 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.043 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.043 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.043 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.043 * [taylor]: Taking taylor expansion of 0.25 in k 3.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.043 * [taylor]: Taking taylor expansion of 1.0 in k 3.043 * [taylor]: Taking taylor expansion of k in k 3.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.043 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.043 * [taylor]: Taking taylor expansion of 2.0 in k 3.043 * [taylor]: Taking taylor expansion of (* n PI) in k 3.043 * [taylor]: Taking taylor expansion of n in k 3.043 * [taylor]: Taking taylor expansion of PI in k 3.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.044 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.044 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.044 * [taylor]: Taking taylor expansion of 0.25 in n 3.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.044 * [taylor]: Taking taylor expansion of 1.0 in n 3.044 * [taylor]: Taking taylor expansion of k in n 3.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.044 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.044 * [taylor]: Taking taylor expansion of 2.0 in n 3.044 * [taylor]: Taking taylor expansion of (* n PI) in n 3.044 * [taylor]: Taking taylor expansion of n in n 3.044 * [taylor]: Taking taylor expansion of PI in n 3.050 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.050 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.050 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.050 * [taylor]: Taking taylor expansion of 0.25 in n 3.050 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.050 * [taylor]: Taking taylor expansion of 1.0 in n 3.050 * [taylor]: Taking taylor expansion of k in n 3.050 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.050 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.050 * [taylor]: Taking taylor expansion of 2.0 in n 3.050 * [taylor]: Taking taylor expansion of (* n PI) in n 3.050 * [taylor]: Taking taylor expansion of n in n 3.050 * [taylor]: Taking taylor expansion of PI in n 3.057 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.057 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.057 * [taylor]: Taking taylor expansion of 0.25 in k 3.057 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.057 * [taylor]: Taking taylor expansion of 1.0 in k 3.057 * [taylor]: Taking taylor expansion of k in k 3.057 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.057 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.057 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.057 * [taylor]: Taking taylor expansion of 2.0 in k 3.057 * [taylor]: Taking taylor expansion of PI in k 3.059 * [taylor]: Taking taylor expansion of (log n) in k 3.059 * [taylor]: Taking taylor expansion of n in k 3.074 * [taylor]: Taking taylor expansion of 0 in k 3.090 * [taylor]: Taking taylor expansion of 0 in k 3.108 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.108 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.108 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.108 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.108 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.108 * [taylor]: Taking taylor expansion of 0.25 in k 3.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.108 * [taylor]: Taking taylor expansion of 1.0 in k 3.108 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.108 * [taylor]: Taking taylor expansion of k in k 3.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.109 * [taylor]: Taking taylor expansion of 2.0 in k 3.109 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.109 * [taylor]: Taking taylor expansion of PI in k 3.109 * [taylor]: Taking taylor expansion of n in k 3.110 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.110 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.110 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.110 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.110 * [taylor]: Taking taylor expansion of 0.25 in n 3.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.110 * [taylor]: Taking taylor expansion of 1.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.110 * [taylor]: Taking taylor expansion of k in n 3.110 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.110 * [taylor]: Taking taylor expansion of 2.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.110 * [taylor]: Taking taylor expansion of PI in n 3.110 * [taylor]: Taking taylor expansion of n in n 3.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.113 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.113 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.113 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.113 * [taylor]: Taking taylor expansion of 0.25 in n 3.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.113 * [taylor]: Taking taylor expansion of 1.0 in n 3.113 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.113 * [taylor]: Taking taylor expansion of k in n 3.114 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.114 * [taylor]: Taking taylor expansion of 2.0 in n 3.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.114 * [taylor]: Taking taylor expansion of PI in n 3.114 * [taylor]: Taking taylor expansion of n in n 3.117 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.117 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.117 * [taylor]: Taking taylor expansion of 0.25 in k 3.117 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.117 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.117 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.117 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.117 * [taylor]: Taking taylor expansion of 2.0 in k 3.117 * [taylor]: Taking taylor expansion of PI in k 3.118 * [taylor]: Taking taylor expansion of (log n) in k 3.118 * [taylor]: Taking taylor expansion of n in k 3.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.118 * [taylor]: Taking taylor expansion of 1.0 in k 3.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.118 * [taylor]: Taking taylor expansion of k in k 3.127 * [taylor]: Taking taylor expansion of 0 in k 3.140 * [taylor]: Taking taylor expansion of 0 in k 3.149 * [taylor]: Taking taylor expansion of 0 in k 3.150 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.150 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.150 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.150 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.150 * [taylor]: Taking taylor expansion of 0.25 in k 3.150 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.150 * [taylor]: Taking taylor expansion of k in k 3.150 * [taylor]: Taking taylor expansion of 1.0 in k 3.151 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.151 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.151 * [taylor]: Taking taylor expansion of -2.0 in k 3.151 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.151 * [taylor]: Taking taylor expansion of PI in k 3.151 * [taylor]: Taking taylor expansion of n in k 3.151 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.151 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.151 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.151 * [taylor]: Taking taylor expansion of 0.25 in n 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.151 * [taylor]: Taking taylor expansion of k in n 3.152 * [taylor]: Taking taylor expansion of 1.0 in n 3.152 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.152 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.152 * [taylor]: Taking taylor expansion of -2.0 in n 3.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.152 * [taylor]: Taking taylor expansion of PI in n 3.152 * [taylor]: Taking taylor expansion of n in n 3.155 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.155 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.155 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.155 * [taylor]: Taking taylor expansion of 0.25 in n 3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.155 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.155 * [taylor]: Taking taylor expansion of k in n 3.155 * [taylor]: Taking taylor expansion of 1.0 in n 3.155 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.155 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.155 * [taylor]: Taking taylor expansion of -2.0 in n 3.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.155 * [taylor]: Taking taylor expansion of PI in n 3.155 * [taylor]: Taking taylor expansion of n in n 3.159 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.159 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.159 * [taylor]: Taking taylor expansion of 0.25 in k 3.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.159 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.159 * [taylor]: Taking taylor expansion of k in k 3.159 * [taylor]: Taking taylor expansion of 1.0 in k 3.159 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.159 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.159 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.159 * [taylor]: Taking taylor expansion of -2.0 in k 3.159 * [taylor]: Taking taylor expansion of PI in k 3.160 * [taylor]: Taking taylor expansion of (log n) in k 3.160 * [taylor]: Taking taylor expansion of n in k 3.168 * [taylor]: Taking taylor expansion of 0 in k 3.175 * [taylor]: Taking taylor expansion of 0 in k 3.183 * [taylor]: Taking taylor expansion of 0 in k 3.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.185 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.185 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.185 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.185 * [taylor]: Taking taylor expansion of 0.25 in k 3.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.185 * [taylor]: Taking taylor expansion of 1.0 in k 3.185 * [taylor]: Taking taylor expansion of k in k 3.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.185 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.185 * [taylor]: Taking taylor expansion of 2.0 in k 3.185 * [taylor]: Taking taylor expansion of (* n PI) in k 3.185 * [taylor]: Taking taylor expansion of n in k 3.185 * [taylor]: Taking taylor expansion of PI in k 3.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.186 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.186 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.186 * [taylor]: Taking taylor expansion of 0.25 in n 3.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.186 * [taylor]: Taking taylor expansion of 1.0 in n 3.186 * [taylor]: Taking taylor expansion of k in n 3.186 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.186 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.186 * [taylor]: Taking taylor expansion of 2.0 in n 3.186 * [taylor]: Taking taylor expansion of (* n PI) in n 3.186 * [taylor]: Taking taylor expansion of n in n 3.186 * [taylor]: Taking taylor expansion of PI in n 3.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.191 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.191 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.191 * [taylor]: Taking taylor expansion of 0.25 in n 3.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.191 * [taylor]: Taking taylor expansion of 1.0 in n 3.191 * [taylor]: Taking taylor expansion of k in n 3.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.191 * [taylor]: Taking taylor expansion of 2.0 in n 3.191 * [taylor]: Taking taylor expansion of (* n PI) in n 3.191 * [taylor]: Taking taylor expansion of n in n 3.191 * [taylor]: Taking taylor expansion of PI in n 3.196 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.196 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.196 * [taylor]: Taking taylor expansion of 0.25 in k 3.196 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.196 * [taylor]: Taking taylor expansion of 1.0 in k 3.196 * [taylor]: Taking taylor expansion of k in k 3.196 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.196 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.196 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.196 * [taylor]: Taking taylor expansion of 2.0 in k 3.196 * [taylor]: Taking taylor expansion of PI in k 3.197 * [taylor]: Taking taylor expansion of (log n) in k 3.197 * [taylor]: Taking taylor expansion of n in k 3.206 * [taylor]: Taking taylor expansion of 0 in k 3.220 * [taylor]: Taking taylor expansion of 0 in k 3.243 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.243 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.243 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.244 * [taylor]: Taking taylor expansion of 0.25 in k 3.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.244 * [taylor]: Taking taylor expansion of 1.0 in k 3.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.244 * [taylor]: Taking taylor expansion of k in k 3.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.244 * [taylor]: Taking taylor expansion of 2.0 in k 3.244 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.244 * [taylor]: Taking taylor expansion of PI in k 3.244 * [taylor]: Taking taylor expansion of n in k 3.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.245 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.245 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.245 * [taylor]: Taking taylor expansion of 0.25 in n 3.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.245 * [taylor]: Taking taylor expansion of 1.0 in n 3.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.245 * [taylor]: Taking taylor expansion of k in n 3.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.245 * [taylor]: Taking taylor expansion of 2.0 in n 3.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.245 * [taylor]: Taking taylor expansion of PI in n 3.245 * [taylor]: Taking taylor expansion of n in n 3.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.249 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.249 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.249 * [taylor]: Taking taylor expansion of 0.25 in n 3.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.249 * [taylor]: Taking taylor expansion of 1.0 in n 3.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.249 * [taylor]: Taking taylor expansion of k in n 3.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.249 * [taylor]: Taking taylor expansion of 2.0 in n 3.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.249 * [taylor]: Taking taylor expansion of PI in n 3.249 * [taylor]: Taking taylor expansion of n in n 3.252 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.252 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.252 * [taylor]: Taking taylor expansion of 0.25 in k 3.252 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.252 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.252 * [taylor]: Taking taylor expansion of 2.0 in k 3.252 * [taylor]: Taking taylor expansion of PI in k 3.253 * [taylor]: Taking taylor expansion of (log n) in k 3.253 * [taylor]: Taking taylor expansion of n in k 3.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.253 * [taylor]: Taking taylor expansion of 1.0 in k 3.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.253 * [taylor]: Taking taylor expansion of k in k 3.262 * [taylor]: Taking taylor expansion of 0 in k 3.269 * [taylor]: Taking taylor expansion of 0 in k 3.278 * [taylor]: Taking taylor expansion of 0 in k 3.279 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.279 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.279 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.279 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.279 * [taylor]: Taking taylor expansion of 0.25 in k 3.279 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.279 * [taylor]: Taking taylor expansion of k in k 3.279 * [taylor]: Taking taylor expansion of 1.0 in k 3.279 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.280 * [taylor]: Taking taylor expansion of -2.0 in k 3.280 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.280 * [taylor]: Taking taylor expansion of PI in k 3.280 * [taylor]: Taking taylor expansion of n in k 3.280 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.280 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.280 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.280 * [taylor]: Taking taylor expansion of 0.25 in n 3.280 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.280 * [taylor]: Taking taylor expansion of k in n 3.280 * [taylor]: Taking taylor expansion of 1.0 in n 3.281 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.281 * [taylor]: Taking taylor expansion of -2.0 in n 3.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.281 * [taylor]: Taking taylor expansion of PI in n 3.281 * [taylor]: Taking taylor expansion of n in n 3.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.284 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.284 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.284 * [taylor]: Taking taylor expansion of 0.25 in n 3.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.284 * [taylor]: Taking taylor expansion of k in n 3.284 * [taylor]: Taking taylor expansion of 1.0 in n 3.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.284 * [taylor]: Taking taylor expansion of -2.0 in n 3.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.284 * [taylor]: Taking taylor expansion of PI in n 3.284 * [taylor]: Taking taylor expansion of n in n 3.287 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.288 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.288 * [taylor]: Taking taylor expansion of 0.25 in k 3.288 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.288 * [taylor]: Taking taylor expansion of k in k 3.288 * [taylor]: Taking taylor expansion of 1.0 in k 3.288 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.288 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.288 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.288 * [taylor]: Taking taylor expansion of -2.0 in k 3.288 * [taylor]: Taking taylor expansion of PI in k 3.289 * [taylor]: Taking taylor expansion of (log n) in k 3.289 * [taylor]: Taking taylor expansion of n in k 3.297 * [taylor]: Taking taylor expansion of 0 in k 3.304 * [taylor]: Taking taylor expansion of 0 in k 3.312 * [taylor]: Taking taylor expansion of 0 in k 3.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.313 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.313 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.313 * [taylor]: Taking taylor expansion of 1.0 in k 3.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.313 * [taylor]: Taking taylor expansion of k in k 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.320 * [taylor]: Taking taylor expansion of 1.0 in k 3.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.320 * [taylor]: Taking taylor expansion of k in k 3.330 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.332 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.332 * [taylor]: Taking taylor expansion of 1.0 in k 3.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.332 * [taylor]: Taking taylor expansion of k in k 3.341 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.341 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.341 * [taylor]: Taking taylor expansion of 1.0 in k 3.341 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.341 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.341 * [taylor]: Taking taylor expansion of -1 in k 3.341 * [taylor]: Taking taylor expansion of k in k 3.343 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.343 * [taylor]: Taking taylor expansion of 1.0 in k 3.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.343 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.343 * [taylor]: Taking taylor expansion of -1 in k 3.343 * [taylor]: Taking taylor expansion of k in k 3.354 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.355 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 3.355 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 3.355 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.355 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.355 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.355 * [taylor]: Taking taylor expansion of 0.25 in k 3.355 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.355 * [taylor]: Taking taylor expansion of 1.0 in k 3.355 * [taylor]: Taking taylor expansion of k in k 3.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.355 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.355 * [taylor]: Taking taylor expansion of 2.0 in k 3.355 * [taylor]: Taking taylor expansion of (* n PI) in k 3.355 * [taylor]: Taking taylor expansion of n in k 3.356 * [taylor]: Taking taylor expansion of PI in k 3.356 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 3.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.356 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.356 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.356 * [taylor]: Taking taylor expansion of 0.25 in n 3.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.357 * [taylor]: Taking taylor expansion of 1.0 in n 3.357 * [taylor]: Taking taylor expansion of k in n 3.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.357 * [taylor]: Taking taylor expansion of 2.0 in n 3.357 * [taylor]: Taking taylor expansion of (* n PI) in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.357 * [taylor]: Taking taylor expansion of PI in n 3.361 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 3.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.361 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.361 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.361 * [taylor]: Taking taylor expansion of 0.25 in n 3.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.362 * [taylor]: Taking taylor expansion of 1.0 in n 3.362 * [taylor]: Taking taylor expansion of k in n 3.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.362 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.362 * [taylor]: Taking taylor expansion of 2.0 in n 3.362 * [taylor]: Taking taylor expansion of (* n PI) in n 3.362 * [taylor]: Taking taylor expansion of n in n 3.362 * [taylor]: Taking taylor expansion of PI in n 3.368 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 3.368 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.368 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.368 * [taylor]: Taking taylor expansion of 0.25 in k 3.368 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.368 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.368 * [taylor]: Taking taylor expansion of 1.0 in k 3.368 * [taylor]: Taking taylor expansion of k in k 3.368 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.368 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.368 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.368 * [taylor]: Taking taylor expansion of 2.0 in k 3.368 * [taylor]: Taking taylor expansion of PI in k 3.369 * [taylor]: Taking taylor expansion of (log n) in k 3.369 * [taylor]: Taking taylor expansion of n in k 3.380 * [taylor]: Taking taylor expansion of 0 in k 3.401 * [taylor]: Taking taylor expansion of 0 in k 3.440 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 3.440 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 3.440 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.440 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.440 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.440 * [taylor]: Taking taylor expansion of 0.25 in k 3.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.440 * [taylor]: Taking taylor expansion of 1.0 in k 3.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.440 * [taylor]: Taking taylor expansion of k in k 3.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.441 * [taylor]: Taking taylor expansion of 2.0 in k 3.441 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.441 * [taylor]: Taking taylor expansion of PI in k 3.441 * [taylor]: Taking taylor expansion of n in k 3.441 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 3.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.442 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.442 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.442 * [taylor]: Taking taylor expansion of 0.25 in n 3.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.442 * [taylor]: Taking taylor expansion of 1.0 in n 3.442 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.442 * [taylor]: Taking taylor expansion of k in n 3.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.442 * [taylor]: Taking taylor expansion of 2.0 in n 3.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.442 * [taylor]: Taking taylor expansion of PI in n 3.442 * [taylor]: Taking taylor expansion of n in n 3.445 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 3.445 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.445 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.445 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.445 * [taylor]: Taking taylor expansion of 0.25 in n 3.445 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.445 * [taylor]: Taking taylor expansion of 1.0 in n 3.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.445 * [taylor]: Taking taylor expansion of k in n 3.445 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.445 * [taylor]: Taking taylor expansion of 2.0 in n 3.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.445 * [taylor]: Taking taylor expansion of PI in n 3.445 * [taylor]: Taking taylor expansion of n in n 3.450 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 3.450 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.450 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.450 * [taylor]: Taking taylor expansion of 0.25 in k 3.450 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.450 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.450 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.450 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.450 * [taylor]: Taking taylor expansion of 2.0 in k 3.451 * [taylor]: Taking taylor expansion of PI in k 3.451 * [taylor]: Taking taylor expansion of (log n) in k 3.451 * [taylor]: Taking taylor expansion of n in k 3.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.451 * [taylor]: Taking taylor expansion of 1.0 in k 3.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.451 * [taylor]: Taking taylor expansion of k in k 3.463 * [taylor]: Taking taylor expansion of 0 in k 3.472 * [taylor]: Taking taylor expansion of 0 in k 3.484 * [taylor]: Taking taylor expansion of 0 in k 3.486 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 3.486 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 3.486 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.486 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.486 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.486 * [taylor]: Taking taylor expansion of 0.25 in k 3.486 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.486 * [taylor]: Taking taylor expansion of k in k 3.486 * [taylor]: Taking taylor expansion of 1.0 in k 3.486 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.486 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.487 * [taylor]: Taking taylor expansion of -2.0 in k 3.487 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.487 * [taylor]: Taking taylor expansion of PI in k 3.487 * [taylor]: Taking taylor expansion of n in k 3.487 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 3.487 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.487 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.487 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.487 * [taylor]: Taking taylor expansion of 0.25 in n 3.487 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.487 * [taylor]: Taking taylor expansion of k in n 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.488 * [taylor]: Taking taylor expansion of -2.0 in n 3.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.488 * [taylor]: Taking taylor expansion of PI in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.491 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 3.491 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.491 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.491 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.491 * [taylor]: Taking taylor expansion of 0.25 in n 3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.491 * [taylor]: Taking taylor expansion of k in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.491 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.491 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.491 * [taylor]: Taking taylor expansion of -2.0 in n 3.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.491 * [taylor]: Taking taylor expansion of PI in n 3.491 * [taylor]: Taking taylor expansion of n in n 3.502 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 3.502 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.502 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.502 * [taylor]: Taking taylor expansion of 0.25 in k 3.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.502 * [taylor]: Taking taylor expansion of k in k 3.502 * [taylor]: Taking taylor expansion of 1.0 in k 3.502 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.502 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.503 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.503 * [taylor]: Taking taylor expansion of -2.0 in k 3.503 * [taylor]: Taking taylor expansion of PI in k 3.503 * [taylor]: Taking taylor expansion of (log n) in k 3.503 * [taylor]: Taking taylor expansion of n in k 3.514 * [taylor]: Taking taylor expansion of 0 in k 3.524 * [taylor]: Taking taylor expansion of 0 in k 3.537 * [taylor]: Taking taylor expansion of 0 in k 3.538 * * * [progress]: simplifying candidates 3.543 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) 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2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (+ (fma (* 0.03125 (pow k 2)) (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (- (fma (* 0.0625 (pow k 2)) (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (fma (* 0.03125 (pow k 2)) (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (- (fma (* 0.0625 (pow k 2)) (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (fma 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (fma 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2))) (* 0.125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))))) (- (pow (pow (* (* 2.0 PI) n) 0.25) 2) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) 3.596 * * * [progress]: adding candidates to table 4.560 * * [progress]: iteration 4 / 4 4.560 * * * [progress]: picking best candidate 4.597 * * * * [pick]: Picked # 4.597 * * * [progress]: localizing error 4.613 * * * [progress]: generating rewritten candidates 4.613 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.632 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.662 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 4.682 * * * [progress]: generating series expansions 4.682 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.683 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.683 * [taylor]: Taking taylor expansion of 0.5 in k 4.683 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.683 * [taylor]: Taking taylor expansion of 1.0 in k 4.683 * [taylor]: Taking taylor expansion of k in k 4.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.683 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.683 * [taylor]: Taking taylor expansion of 2.0 in k 4.683 * [taylor]: Taking taylor expansion of (* n PI) in k 4.683 * [taylor]: Taking taylor expansion of n in k 4.683 * [taylor]: Taking taylor expansion of PI in k 4.684 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.685 * [taylor]: Taking taylor expansion of 0.5 in n 4.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.685 * [taylor]: Taking taylor expansion of 1.0 in n 4.685 * [taylor]: Taking taylor expansion of k in n 4.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.685 * [taylor]: Taking taylor expansion of 2.0 in n 4.685 * [taylor]: Taking taylor expansion of (* n PI) in n 4.685 * [taylor]: Taking taylor expansion of n in n 4.685 * [taylor]: Taking taylor expansion of PI in n 4.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.690 * [taylor]: Taking taylor expansion of 0.5 in n 4.690 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.690 * [taylor]: Taking taylor expansion of 1.0 in n 4.690 * [taylor]: Taking taylor expansion of k in n 4.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.690 * [taylor]: Taking taylor expansion of 2.0 in n 4.690 * [taylor]: Taking taylor expansion of (* n PI) in n 4.690 * [taylor]: Taking taylor expansion of n in n 4.690 * [taylor]: Taking taylor expansion of PI in n 4.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.695 * [taylor]: Taking taylor expansion of 0.5 in k 4.695 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.695 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.695 * [taylor]: Taking taylor expansion of 1.0 in k 4.695 * [taylor]: Taking taylor expansion of k in k 4.695 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.695 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.695 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.695 * [taylor]: Taking taylor expansion of 2.0 in k 4.695 * [taylor]: Taking taylor expansion of PI in k 4.697 * [taylor]: Taking taylor expansion of (log n) in k 4.697 * [taylor]: Taking taylor expansion of n in k 4.705 * [taylor]: Taking taylor expansion of 0 in k 4.725 * [taylor]: Taking taylor expansion of 0 in k 4.743 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.743 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.743 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.743 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.743 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.743 * [taylor]: Taking taylor expansion of 0.5 in k 4.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.743 * [taylor]: Taking taylor expansion of 1.0 in k 4.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.743 * [taylor]: Taking taylor expansion of k in k 4.743 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.743 * [taylor]: Taking taylor expansion of 2.0 in k 4.743 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.743 * [taylor]: Taking taylor expansion of PI in k 4.743 * [taylor]: Taking taylor expansion of n in k 4.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.744 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.744 * [taylor]: Taking taylor expansion of 0.5 in n 4.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.744 * [taylor]: Taking taylor expansion of k in n 4.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.744 * [taylor]: Taking taylor expansion of 2.0 in n 4.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.744 * [taylor]: Taking taylor expansion of PI in n 4.744 * [taylor]: Taking taylor expansion of n in n 4.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.748 * [taylor]: Taking taylor expansion of 0.5 in n 4.748 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.748 * [taylor]: Taking taylor expansion of 1.0 in n 4.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.748 * [taylor]: Taking taylor expansion of k in n 4.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.748 * [taylor]: Taking taylor expansion of 2.0 in n 4.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.748 * [taylor]: Taking taylor expansion of PI in n 4.748 * [taylor]: Taking taylor expansion of n in n 4.751 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.751 * [taylor]: Taking taylor expansion of 0.5 in k 4.751 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.751 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.751 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.751 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.751 * [taylor]: Taking taylor expansion of 2.0 in k 4.751 * [taylor]: Taking taylor expansion of PI in k 4.752 * [taylor]: Taking taylor expansion of (log n) in k 4.752 * [taylor]: Taking taylor expansion of n in k 4.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.752 * [taylor]: Taking taylor expansion of 1.0 in k 4.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.752 * [taylor]: Taking taylor expansion of k in k 4.761 * [taylor]: Taking taylor expansion of 0 in k 4.768 * [taylor]: Taking taylor expansion of 0 in k 4.777 * [taylor]: Taking taylor expansion of 0 in k 4.778 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.778 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.778 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.778 * [taylor]: Taking taylor expansion of 0.5 in k 4.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.778 * [taylor]: Taking taylor expansion of k in k 4.779 * [taylor]: Taking taylor expansion of 1.0 in k 4.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.779 * [taylor]: Taking taylor expansion of -2.0 in k 4.779 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.779 * [taylor]: Taking taylor expansion of PI in k 4.779 * [taylor]: Taking taylor expansion of n in k 4.780 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.780 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.780 * [taylor]: Taking taylor expansion of 0.5 in n 4.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.780 * [taylor]: Taking taylor expansion of k in n 4.780 * [taylor]: Taking taylor expansion of 1.0 in n 4.780 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.780 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.780 * [taylor]: Taking taylor expansion of -2.0 in n 4.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.780 * [taylor]: Taking taylor expansion of PI in n 4.780 * [taylor]: Taking taylor expansion of n in n 4.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.783 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.783 * [taylor]: Taking taylor expansion of 0.5 in n 4.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.783 * [taylor]: Taking taylor expansion of k in n 4.783 * [taylor]: Taking taylor expansion of 1.0 in n 4.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.783 * [taylor]: Taking taylor expansion of -2.0 in n 4.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.783 * [taylor]: Taking taylor expansion of PI in n 4.783 * [taylor]: Taking taylor expansion of n in n 4.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.787 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.787 * [taylor]: Taking taylor expansion of 0.5 in k 4.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.787 * [taylor]: Taking taylor expansion of k in k 4.787 * [taylor]: Taking taylor expansion of 1.0 in k 4.787 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.787 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.787 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.787 * [taylor]: Taking taylor expansion of -2.0 in k 4.787 * [taylor]: Taking taylor expansion of PI in k 4.788 * [taylor]: Taking taylor expansion of (log n) in k 4.788 * [taylor]: Taking taylor expansion of n in k 4.803 * [taylor]: Taking taylor expansion of 0 in k 4.809 * [taylor]: Taking taylor expansion of 0 in k 4.818 * [taylor]: Taking taylor expansion of 0 in k 4.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.819 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.819 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.819 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.819 * [taylor]: Taking taylor expansion of 0.5 in k 4.819 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.819 * [taylor]: Taking taylor expansion of 1.0 in k 4.819 * [taylor]: Taking taylor expansion of k in k 4.819 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.819 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.819 * [taylor]: Taking taylor expansion of 2.0 in k 4.819 * [taylor]: Taking taylor expansion of (* n PI) in k 4.819 * [taylor]: Taking taylor expansion of n in k 4.819 * [taylor]: Taking taylor expansion of PI in k 4.820 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.821 * [taylor]: Taking taylor expansion of 0.5 in n 4.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.821 * [taylor]: Taking taylor expansion of 1.0 in n 4.821 * [taylor]: Taking taylor expansion of k in n 4.821 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.821 * [taylor]: Taking taylor expansion of 2.0 in n 4.821 * [taylor]: Taking taylor expansion of (* n PI) in n 4.821 * [taylor]: Taking taylor expansion of n in n 4.821 * [taylor]: Taking taylor expansion of PI in n 4.825 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.826 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.826 * [taylor]: Taking taylor expansion of 0.5 in n 4.826 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.826 * [taylor]: Taking taylor expansion of 1.0 in n 4.826 * [taylor]: Taking taylor expansion of k in n 4.826 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.826 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.826 * [taylor]: Taking taylor expansion of 2.0 in n 4.826 * [taylor]: Taking taylor expansion of (* n PI) in n 4.826 * [taylor]: Taking taylor expansion of n in n 4.826 * [taylor]: Taking taylor expansion of PI in n 4.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.831 * [taylor]: Taking taylor expansion of 0.5 in k 4.831 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.831 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.831 * [taylor]: Taking taylor expansion of 1.0 in k 4.831 * [taylor]: Taking taylor expansion of k in k 4.831 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.831 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.831 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.831 * [taylor]: Taking taylor expansion of 2.0 in k 4.831 * [taylor]: Taking taylor expansion of PI in k 4.832 * [taylor]: Taking taylor expansion of (log n) in k 4.832 * [taylor]: Taking taylor expansion of n in k 4.840 * [taylor]: Taking taylor expansion of 0 in k 4.855 * [taylor]: Taking taylor expansion of 0 in k 4.872 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.873 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.873 * [taylor]: Taking taylor expansion of 0.5 in k 4.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.873 * [taylor]: Taking taylor expansion of 1.0 in k 4.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.873 * [taylor]: Taking taylor expansion of k in k 4.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.873 * [taylor]: Taking taylor expansion of 2.0 in k 4.873 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.873 * [taylor]: Taking taylor expansion of PI in k 4.873 * [taylor]: Taking taylor expansion of n in k 4.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.874 * [taylor]: Taking taylor expansion of 0.5 in n 4.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.874 * [taylor]: Taking taylor expansion of 1.0 in n 4.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.874 * [taylor]: Taking taylor expansion of k in n 4.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.874 * [taylor]: Taking taylor expansion of 2.0 in n 4.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.874 * [taylor]: Taking taylor expansion of PI in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.877 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.878 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.878 * [taylor]: Taking taylor expansion of 0.5 in n 4.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.878 * [taylor]: Taking taylor expansion of 1.0 in n 4.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.878 * [taylor]: Taking taylor expansion of k in n 4.878 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.878 * [taylor]: Taking taylor expansion of 2.0 in n 4.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.878 * [taylor]: Taking taylor expansion of PI in n 4.878 * [taylor]: Taking taylor expansion of n in n 4.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.881 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.881 * [taylor]: Taking taylor expansion of 0.5 in k 4.881 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.881 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.881 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.881 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.881 * [taylor]: Taking taylor expansion of 2.0 in k 4.881 * [taylor]: Taking taylor expansion of PI in k 4.882 * [taylor]: Taking taylor expansion of (log n) in k 4.882 * [taylor]: Taking taylor expansion of n in k 4.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.882 * [taylor]: Taking taylor expansion of 1.0 in k 4.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.882 * [taylor]: Taking taylor expansion of k in k 4.898 * [taylor]: Taking taylor expansion of 0 in k 4.904 * [taylor]: Taking taylor expansion of 0 in k 4.913 * [taylor]: Taking taylor expansion of 0 in k 4.914 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.914 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.915 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.915 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.915 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.915 * [taylor]: Taking taylor expansion of 0.5 in k 4.915 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.915 * [taylor]: Taking taylor expansion of k in k 4.915 * [taylor]: Taking taylor expansion of 1.0 in k 4.915 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.915 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.915 * [taylor]: Taking taylor expansion of -2.0 in k 4.915 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.915 * [taylor]: Taking taylor expansion of PI in k 4.915 * [taylor]: Taking taylor expansion of n in k 4.916 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.916 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.916 * [taylor]: Taking taylor expansion of 0.5 in n 4.916 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.916 * [taylor]: Taking taylor expansion of k in n 4.916 * [taylor]: Taking taylor expansion of 1.0 in n 4.916 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.916 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.916 * [taylor]: Taking taylor expansion of -2.0 in n 4.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.916 * [taylor]: Taking taylor expansion of PI in n 4.916 * [taylor]: Taking taylor expansion of n in n 4.919 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.919 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.919 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.919 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.919 * [taylor]: Taking taylor expansion of 0.5 in n 4.919 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.919 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.919 * [taylor]: Taking taylor expansion of k in n 4.920 * [taylor]: Taking taylor expansion of 1.0 in n 4.920 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.920 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.920 * [taylor]: Taking taylor expansion of -2.0 in n 4.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.920 * [taylor]: Taking taylor expansion of PI in n 4.920 * [taylor]: Taking taylor expansion of n in n 4.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.923 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.923 * [taylor]: Taking taylor expansion of 0.5 in k 4.923 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.923 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.923 * [taylor]: Taking taylor expansion of k in k 4.924 * [taylor]: Taking taylor expansion of 1.0 in k 4.924 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.924 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.924 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.924 * [taylor]: Taking taylor expansion of -2.0 in k 4.924 * [taylor]: Taking taylor expansion of PI in k 4.924 * [taylor]: Taking taylor expansion of (log n) in k 4.925 * [taylor]: Taking taylor expansion of n in k 4.933 * [taylor]: Taking taylor expansion of 0 in k 4.939 * [taylor]: Taking taylor expansion of 0 in k 4.948 * [taylor]: Taking taylor expansion of 0 in k 4.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.949 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.949 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.949 * [taylor]: Taking taylor expansion of 1.0 in k 4.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.949 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.949 * [taylor]: Taking taylor expansion of k in k 4.950 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.950 * [taylor]: Taking taylor expansion of 1.0 in k 4.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.950 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.950 * [taylor]: Taking taylor expansion of k in k 4.960 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.960 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.960 * [taylor]: Taking taylor expansion of 1.0 in k 4.960 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.960 * [taylor]: Taking taylor expansion of k in k 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.961 * [taylor]: Taking taylor expansion of 1.0 in k 4.961 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.961 * [taylor]: Taking taylor expansion of k in k 4.971 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.971 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.971 * [taylor]: Taking taylor expansion of 1.0 in k 4.971 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.971 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.971 * [taylor]: Taking taylor expansion of -1 in k 4.971 * [taylor]: Taking taylor expansion of k in k 4.972 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.972 * [taylor]: Taking taylor expansion of 1.0 in k 4.972 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.972 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.972 * [taylor]: Taking taylor expansion of -1 in k 4.972 * [taylor]: Taking taylor expansion of k in k 4.990 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.991 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.991 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.991 * [taylor]: Taking taylor expansion of 2.0 in n 4.991 * [taylor]: Taking taylor expansion of (* n PI) in n 4.991 * [taylor]: Taking taylor expansion of n in n 4.991 * [taylor]: Taking taylor expansion of PI in n 4.991 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.991 * [taylor]: Taking taylor expansion of 2.0 in n 4.991 * [taylor]: Taking taylor expansion of (* n PI) in n 4.991 * [taylor]: Taking taylor expansion of n in n 4.991 * [taylor]: Taking taylor expansion of PI in n 5.002 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.002 * [taylor]: Taking taylor expansion of 2.0 in n 5.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.002 * [taylor]: Taking taylor expansion of PI in n 5.002 * [taylor]: Taking taylor expansion of n in n 5.003 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.003 * [taylor]: Taking taylor expansion of 2.0 in n 5.003 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.003 * [taylor]: Taking taylor expansion of PI in n 5.003 * [taylor]: Taking taylor expansion of n in n 5.011 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.011 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.011 * [taylor]: Taking taylor expansion of -2.0 in n 5.011 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.011 * [taylor]: Taking taylor expansion of PI in n 5.011 * [taylor]: Taking taylor expansion of n in n 5.012 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.012 * [taylor]: Taking taylor expansion of -2.0 in n 5.012 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.012 * [taylor]: Taking taylor expansion of PI in n 5.012 * [taylor]: Taking taylor expansion of n in n 5.020 * * * [progress]: simplifying candidates 5.022 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.023 * [simplify]: Sending expressions to egg_math: (expm1 (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (log1p (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ h3 h0)) (pow (* (* h0 h1) h2) (/ h4 h0)) (pow (* (* h0 h1) h2) (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0)))) (pow (* (* h0 h1) h2) (sqrt (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (- h3 h4)) (pow (* h0 h1) (/ (- h3 h4) h0)) (pow h2 (/ (- h3 h4) h0)) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (exp (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (expm1 (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (log1p (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (+ (+ (log h0) (log h1)) (log h2)) (/ (- h3 h4) h0)) (* (+ (log (* h0 h1)) (log h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* (log (* (* h0 h1) h2)) (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (* 1 (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ h3 h0)) (pow (* (* h0 h1) h2) (/ h4 h0)) (pow (* (* h0 h1) h2) (* (cbrt (/ (- h3 h4) h0)) (cbrt (/ (- h3 h4) h0)))) (pow (* (* h0 h1) h2) (sqrt (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (* (cbrt (- h3 h4)) (cbrt (- h3 h4))) 1)) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (sqrt (- h3 h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) (sqrt h0))) (pow (* (* h0 h1) h2) (/ (+ (sqrt h3) (sqrt h4)) 1)) (pow (* (* h0 h1) h2) (/ 1 (* (cbrt h0) (cbrt h0)))) (pow (* (* h0 h1) h2) (/ 1 (sqrt h0))) (pow (* (* h0 h1) h2) (/ 1 1)) (pow (* (* h0 h1) h2) 1) (pow (* (* h0 h1) h2) (- h3 h4)) (pow (* h0 h1) (/ (- h3 h4) h0)) (pow h2 (/ (- h3 h4) h0)) (log (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (exp (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)))) (cbrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (* (* (pow (* (* h0 h1) h2) (/ (- h3 h4) h0)) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (sqrt (pow (* (* h0 h1) h2) (/ (- h3 h4) h0))) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (pow (* (* h0 h1) h2) (/ (/ (- h3 h4) h0) 2)) (expm1 (/ h3 (sqrt h4))) (log1p (/ h3 (sqrt h4))) (- (log h3) (log (sqrt h4))) (log (/ h3 (sqrt h4))) (exp (/ h3 (sqrt h4))) (/ (* (* h3 h3) h3) (* (* (sqrt h4) (sqrt h4)) (sqrt h4))) (* (cbrt (/ h3 (sqrt h4))) (cbrt (/ h3 (sqrt h4)))) (cbrt (/ h3 (sqrt h4))) (* (* (/ h3 (sqrt h4)) (/ h3 (sqrt h4))) (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (sqrt (/ h3 (sqrt h4))) (- h3) (- (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (cbrt h3) (cbrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (cbrt h3) (sqrt (cbrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) (sqrt 1)) (/ (cbrt h3) (sqrt h4)) (/ (* (cbrt h3) (cbrt h3)) (sqrt (sqrt h4))) (/ (cbrt h3) (sqrt (sqrt h4))) (/ (* (cbrt h3) (cbrt h3)) 1) (/ (cbrt h3) (sqrt h4)) (/ (sqrt h3) (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ (sqrt h3) (cbrt (sqrt h4))) (/ (sqrt h3) (sqrt (* (cbrt h4) (cbrt h4)))) (/ (sqrt h3) (sqrt (cbrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt 1)) (/ (sqrt h3) (sqrt h4)) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) (sqrt (sqrt h4))) (/ (sqrt h3) 1) (/ (sqrt h3) (sqrt h4)) (/ 1 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (cbrt (sqrt h4))) (/ 1 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (cbrt h4))) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 (sqrt 1)) (/ h3 (sqrt h4)) (/ 1 (sqrt (sqrt h4))) (/ h3 (sqrt (sqrt h4))) (/ 1 1) (/ h3 (sqrt h4)) (/ 1 (sqrt h4)) (/ (sqrt h4) h3) (/ h3 (* (cbrt (sqrt h4)) (cbrt (sqrt h4)))) (/ h3 (sqrt (* (cbrt h4) (cbrt h4)))) (/ h3 (sqrt (sqrt h4))) (/ h3 (sqrt 1)) (/ h3 (sqrt (sqrt h4))) (/ h3 1) (/ (sqrt h4) (cbrt h3)) (/ (sqrt h4) (sqrt h3)) (/ (sqrt h4) h3) (expm1 (* (* h0 h1) h2)) (log1p (* (* h0 h1) h2)) (* (* h0 h1) h2) (* (* h0 h1) h2) (+ (+ (log h0) (log h1)) (log h2)) (+ (log (* h0 h1)) (log h2)) (log (* (* h0 h1) h2)) (exp (* (* h0 h1) h2)) (* (* (* (* h0 h0) h0) (* (* h1 h1) h1)) (* (* h2 h2) h2)) (* (* (* (* h0 h1) (* h0 h1)) (* h0 h1)) (* (* h2 h2) h2)) (* (cbrt (* (* h0 h1) h2)) (cbrt (* (* h0 h1) h2))) (cbrt (* (* h0 h1) h2)) (* (* (* (* h0 h1) h2) (* (* h0 h1) h2)) (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (sqrt (* (* h0 h1) h2)) (* (* h0 h1) (* (cbrt h2) (cbrt h2))) (* (* h0 h1) (sqrt h2)) (* (* h0 h1) 1) (* h1 h2) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h5 (* (pow h4 2) (* (pow (log (* h0 h1)) 2) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h5 (* (pow h4 2) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (pow (log h2) 2)))) (+ (* h7 (* (pow h4 2) (* (log (* h0 h1)) (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2))))) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (+ (* h6 (* h4 (* (log (* h0 h1)) (exp (* h6 (+ (log (* h0 h1)) (log h2))))))) (* h6 (* h4 (* (exp (* h6 (+ (log (* h0 h1)) (log h2)))) (log h2)))))) (exp (* h6 (* (- (log (* h0 h1)) (log (/ 1 h2))) (- h3 h4)))) (exp (* h6 (* (- h3 h4) (- (log (* h8 h1)) (log (/ -1 h2)))))) (- (+ (* h9 h4) (- (+ (* h9 (pow h4 2)) (- h9))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- (* h9 (/ 1 (pow h4 3)))))))) (- (+ (* h9 (/ 1 (pow h4 2))) (- (+ (* h9 (/ 1 h4)) (- h9))))) (* h0 (* h2 h1)) (* h0 (* h2 h1)) (* h0 (* h2 h1)) 5.030 * * [simplify]: iteration 0 : 579 enodes (cost 1002 ) 5.040 * * [simplify]: iteration 1 : 2248 enodes (cost 936 ) 5.079 * * [simplify]: iteration 2 : 5001 enodes (cost 903 ) 5.084 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.085 * * * [progress]: adding candidates to table 5.554 * [progress]: [Phase 3 of 3] Extracting. 5.554 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.559 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.559 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.606 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 5.658 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.704 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.750 * * * [regime]: Found split indices: #