15.440 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.192 * * * [progress]: [2/2] Setting up program. 0.194 * [progress]: [Phase 2 of 3] Improving. 0.194 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.197 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.198 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.200 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.202 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.208 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.231 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.231 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.232 * * [progress]: iteration 1 / 4 0.232 * * * [progress]: picking best candidate 0.234 * * * * [pick]: Picked # 0.234 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.287 * * * [progress]: generating series expansions 0.287 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.288 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.288 * [taylor]: Taking taylor expansion of 2.0 in k 0.289 * [taylor]: Taking taylor expansion of (* n PI) in k 0.289 * [taylor]: Taking taylor expansion of n in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (* n PI) in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.295 * [taylor]: Taking taylor expansion of 2.0 in n 0.295 * [taylor]: Taking taylor expansion of (* n PI) in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.301 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.301 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.301 * [taylor]: Taking taylor expansion of 2.0 in k 0.301 * [taylor]: Taking taylor expansion of PI in k 0.302 * [taylor]: Taking taylor expansion of (log n) in k 0.302 * [taylor]: Taking taylor expansion of n in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [taylor]: Taking taylor expansion of 0 in k 0.353 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.353 * [taylor]: Taking taylor expansion of 2.0 in k 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.353 * [taylor]: Taking taylor expansion of PI in k 0.353 * [taylor]: Taking taylor expansion of n in k 0.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.354 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.354 * [taylor]: Taking taylor expansion of 2.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.358 * [taylor]: Taking taylor expansion of 0.5 in n 0.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.358 * [taylor]: Taking taylor expansion of 1.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.358 * [taylor]: Taking taylor expansion of k in n 0.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of 2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of 2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of (log n) in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of 0 in k 0.380 * [taylor]: Taking taylor expansion of 0 in k 0.389 * [taylor]: Taking taylor expansion of 0 in k 0.390 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.390 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.390 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.390 * [taylor]: Taking taylor expansion of 0.5 in k 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.390 * [taylor]: Taking taylor expansion of k in k 0.391 * [taylor]: Taking taylor expansion of 1.0 in k 0.391 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.391 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.391 * [taylor]: Taking taylor expansion of -2.0 in k 0.391 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.391 * [taylor]: Taking taylor expansion of PI in k 0.391 * [taylor]: Taking taylor expansion of n in k 0.391 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.392 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.392 * [taylor]: Taking taylor expansion of 0.5 in n 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.392 * [taylor]: Taking taylor expansion of k in n 0.392 * [taylor]: Taking taylor expansion of 1.0 in n 0.392 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.392 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.392 * [taylor]: Taking taylor expansion of -2.0 in n 0.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.392 * [taylor]: Taking taylor expansion of PI in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.395 * [taylor]: Taking taylor expansion of 0.5 in n 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.396 * [taylor]: Taking taylor expansion of k in n 0.396 * [taylor]: Taking taylor expansion of 1.0 in n 0.396 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.396 * [taylor]: Taking taylor expansion of -2.0 in n 0.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.399 * [taylor]: Taking taylor expansion of 0.5 in k 0.399 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.399 * [taylor]: Taking taylor expansion of k in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.400 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.400 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.400 * [taylor]: Taking taylor expansion of -2.0 in k 0.400 * [taylor]: Taking taylor expansion of PI in k 0.401 * [taylor]: Taking taylor expansion of (log n) in k 0.401 * [taylor]: Taking taylor expansion of n in k 0.409 * [taylor]: Taking taylor expansion of 0 in k 0.416 * [taylor]: Taking taylor expansion of 0 in k 0.432 * [taylor]: Taking taylor expansion of 0 in k 0.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.433 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.433 * [taylor]: Taking taylor expansion of 1.0 in k 0.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.433 * [taylor]: Taking taylor expansion of k in k 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.434 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.446 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.446 * [taylor]: Taking taylor expansion of 1.0 in k 0.446 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.447 * [taylor]: Taking taylor expansion of 1.0 in k 0.447 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.447 * [taylor]: Taking taylor expansion of k in k 0.457 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.457 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.457 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.457 * [taylor]: Taking taylor expansion of -1 in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.459 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.459 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.459 * [taylor]: Taking taylor expansion of -1 in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.470 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.471 * [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 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.471 * [taylor]: Taking taylor expansion of k in n 0.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.471 * [taylor]: Taking taylor expansion of 0.5 in n 0.471 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of k in n 0.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.471 * [taylor]: Taking taylor expansion of 2.0 in n 0.471 * [taylor]: Taking taylor expansion of (* n PI) in n 0.471 * [taylor]: Taking taylor expansion of n in n 0.471 * [taylor]: Taking taylor expansion of PI in n 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.477 * [taylor]: Taking taylor expansion of 1.0 in k 0.477 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.477 * [taylor]: Taking taylor expansion of k in k 0.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.478 * [taylor]: Taking taylor expansion of 0.5 in k 0.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.478 * [taylor]: Taking taylor expansion of 1.0 in k 0.478 * [taylor]: Taking taylor expansion of k in k 0.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.478 * [taylor]: Taking taylor expansion of 2.0 in k 0.478 * [taylor]: Taking taylor expansion of (* n PI) in k 0.478 * [taylor]: Taking taylor expansion of n in k 0.478 * [taylor]: Taking taylor expansion of PI in k 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.479 * [taylor]: Taking taylor expansion of 1.0 in k 0.479 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.480 * [taylor]: Taking taylor expansion of k in k 0.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.481 * [taylor]: Taking taylor expansion of 0.5 in k 0.481 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.481 * [taylor]: Taking taylor expansion of 1.0 in k 0.481 * [taylor]: Taking taylor expansion of k in k 0.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.481 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.481 * [taylor]: Taking taylor expansion of 2.0 in k 0.481 * [taylor]: Taking taylor expansion of (* n PI) in k 0.481 * [taylor]: Taking taylor expansion of n in k 0.481 * [taylor]: Taking taylor expansion of PI in k 0.482 * [taylor]: Taking taylor expansion of 0 in n 0.488 * [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 0.488 * [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 0.488 * [taylor]: Taking taylor expansion of +nan.0 in n 0.488 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.488 * [taylor]: Taking taylor expansion of 0.5 in n 0.488 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.488 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.488 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (log PI) in n 0.488 * [taylor]: Taking taylor expansion of PI in n 0.490 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.490 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.490 * [taylor]: Taking taylor expansion of 1.0 in n 0.490 * [taylor]: Taking taylor expansion of (log n) in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.491 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.491 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.491 * [taylor]: Taking taylor expansion of 2.0 in n 0.510 * [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 0.510 * [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 0.510 * [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 0.510 * [taylor]: Taking taylor expansion of +nan.0 in n 0.510 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.510 * [taylor]: Taking taylor expansion of 0.5 in n 0.510 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log PI) in n 0.510 * [taylor]: Taking taylor expansion of PI in n 0.512 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log n) in n 0.512 * [taylor]: Taking taylor expansion of n in n 0.518 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.524 * [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 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of +nan.0 in n 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.525 * [taylor]: Taking taylor expansion of 0.5 in n 0.525 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.525 * [taylor]: Taking taylor expansion of 2.0 in n 0.526 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log PI) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log n) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* n PI) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of PI in n 0.582 * [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 0.582 * [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 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of +nan.0 in n 0.582 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.582 * [taylor]: Taking taylor expansion of 0.5 in n 0.582 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.584 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log n) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log PI) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.590 * [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 0.590 * [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 0.590 * [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 0.590 * [taylor]: Taking taylor expansion of +nan.0 in n 0.590 * [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 0.590 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.590 * [taylor]: Taking taylor expansion of 0.5 in n 0.590 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.590 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.592 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.592 * [taylor]: Taking taylor expansion of 1.0 in n 0.592 * [taylor]: Taking taylor expansion of (log PI) in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log n) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.598 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (* n PI) in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.601 * [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 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of +nan.0 in n 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.601 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.601 * [taylor]: Taking taylor expansion of 2.0 in n 0.603 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.603 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (log PI) in n 0.603 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log n) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (* n PI) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.688 * [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 0.688 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.688 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.688 * [taylor]: Taking taylor expansion of 0.5 in n 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of 2.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.688 * [taylor]: Taking taylor expansion of PI in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.697 * [taylor]: Taking taylor expansion of 1.0 in k 0.697 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.697 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.697 * [taylor]: Taking taylor expansion of k in k 0.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.699 * [taylor]: Taking taylor expansion of 0.5 in k 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.699 * [taylor]: Taking taylor expansion of 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 (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 (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.700 * [taylor]: Taking taylor expansion of 1.0 in k 0.700 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.700 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.700 * [taylor]: Taking taylor expansion of k in k 0.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.701 * [taylor]: Taking taylor expansion of 0.5 in k 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.701 * [taylor]: Taking taylor expansion of 1.0 in k 0.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.701 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.702 * [taylor]: Taking taylor expansion of 2.0 in k 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.702 * [taylor]: Taking taylor expansion of PI in k 0.702 * [taylor]: Taking taylor expansion of n in k 0.703 * [taylor]: Taking taylor expansion of 0 in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.704 * [taylor]: Taking taylor expansion of +nan.0 in n 0.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.714 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.714 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.714 * [taylor]: Taking taylor expansion of +nan.0 in n 0.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.714 * [taylor]: Taking taylor expansion of 0.5 in n 0.714 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of 2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.715 * [taylor]: Taking taylor expansion of k in n 0.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.732 * [taylor]: Taking taylor expansion of +nan.0 in n 0.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) 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 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.742 * [taylor]: Taking taylor expansion of 1.0 in n 0.742 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.742 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.742 * [taylor]: Taking taylor expansion of 0.5 in n 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.742 * [taylor]: Taking taylor expansion of k in n 0.742 * [taylor]: Taking taylor expansion of 1.0 in n 0.742 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.742 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.742 * [taylor]: Taking taylor expansion of -2.0 in n 0.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.742 * [taylor]: Taking taylor expansion of PI in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.746 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.746 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.746 * [taylor]: Taking taylor expansion of -1 in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.747 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.747 * [taylor]: Taking taylor expansion of 1.0 in k 0.747 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.747 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.747 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.747 * [taylor]: Taking taylor expansion of 0.5 in k 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.747 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.747 * [taylor]: Taking taylor expansion of k in k 0.747 * [taylor]: Taking taylor expansion of 1.0 in k 0.747 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.747 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.747 * [taylor]: Taking taylor expansion of -2.0 in k 0.747 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.747 * [taylor]: Taking taylor expansion of PI in k 0.747 * [taylor]: Taking taylor expansion of n in k 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.748 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.748 * [taylor]: Taking taylor expansion of -1 in k 0.748 * [taylor]: Taking taylor expansion of k in k 0.750 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.750 * [taylor]: Taking taylor expansion of 1.0 in k 0.750 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.750 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.750 * [taylor]: Taking taylor expansion of 0.5 in k 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.750 * [taylor]: Taking taylor expansion of k in k 0.750 * [taylor]: Taking taylor expansion of 1.0 in k 0.750 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.750 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.750 * [taylor]: Taking taylor expansion of -2.0 in k 0.750 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.750 * [taylor]: Taking taylor expansion of PI in k 0.750 * [taylor]: Taking taylor expansion of n in k 0.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.751 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.751 * [taylor]: Taking taylor expansion of -1 in k 0.751 * [taylor]: Taking taylor expansion of k in k 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.753 * [taylor]: Taking taylor expansion of +nan.0 in n 0.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of 0.5 in n 0.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of -2.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.762 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.762 * [taylor]: Taking taylor expansion of +nan.0 in n 0.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.762 * [taylor]: Taking taylor expansion of 0.5 in n 0.762 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.762 * [taylor]: Taking taylor expansion of k in n 0.762 * [taylor]: Taking taylor expansion of 1.0 in n 0.762 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.762 * [taylor]: Taking taylor expansion of -2.0 in n 0.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.762 * [taylor]: Taking taylor expansion of PI in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.780 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.780 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.780 * [taylor]: Taking taylor expansion of +nan.0 in n 0.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.780 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.780 * [taylor]: Taking taylor expansion of 0.5 in n 0.780 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.780 * [taylor]: Taking taylor expansion of k in n 0.780 * [taylor]: Taking taylor expansion of 1.0 in n 0.780 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.780 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.780 * [taylor]: Taking taylor expansion of -2.0 in n 0.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.780 * [taylor]: Taking taylor expansion of PI in n 0.780 * [taylor]: Taking taylor expansion of n in n 0.795 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.796 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.796 * [taylor]: Taking taylor expansion of 2.0 in n 0.796 * [taylor]: Taking taylor expansion of (* n PI) in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.796 * [taylor]: Taking taylor expansion of 2.0 in n 0.796 * [taylor]: Taking taylor expansion of (* n PI) in n 0.796 * [taylor]: Taking taylor expansion of n in n 0.796 * [taylor]: Taking taylor expansion of PI in n 0.808 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.808 * [taylor]: Taking taylor expansion of 2.0 in n 0.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.808 * [taylor]: Taking taylor expansion of PI in n 0.808 * [taylor]: Taking taylor expansion of n in n 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.809 * [taylor]: Taking taylor expansion of 2.0 in n 0.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.809 * [taylor]: Taking taylor expansion of PI in n 0.809 * [taylor]: Taking taylor expansion of n in n 0.818 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.818 * [taylor]: Taking taylor expansion of -2.0 in n 0.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.818 * [taylor]: Taking taylor expansion of PI in n 0.818 * [taylor]: Taking taylor expansion of n in n 0.818 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.818 * [taylor]: Taking taylor expansion of -2.0 in n 0.818 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.818 * [taylor]: Taking taylor expansion of PI in n 0.818 * [taylor]: Taking taylor expansion of n in n 0.827 * * * [progress]: simplifying candidates 0.829 * [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 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 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0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 0.840 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 0.857 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 0.922 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 0.929 * [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 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(* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (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))))) (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))) (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))))))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 0.930 * * * [progress]: adding candidates to table 1.346 * * [progress]: iteration 2 / 4 1.346 * * * [progress]: picking best candidate 1.377 * * * * [pick]: Picked # 1.377 * * * [progress]: localizing error 1.399 * * * [progress]: generating rewritten candidates 1.399 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.406 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.416 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.420 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.431 * * * [progress]: generating series expansions 1.431 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.432 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.432 * [taylor]: Taking taylor expansion of 0.5 in k 1.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.432 * [taylor]: Taking taylor expansion of 1.0 in k 1.432 * [taylor]: Taking taylor expansion of k in k 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.432 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of PI in k 1.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.437 * [taylor]: Taking taylor expansion of 0.5 in k 1.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.437 * [taylor]: Taking taylor expansion of 1.0 in k 1.437 * [taylor]: Taking taylor expansion of k in k 1.437 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.437 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.437 * [taylor]: Taking taylor expansion of 2.0 in k 1.437 * [taylor]: Taking taylor expansion of PI in k 1.490 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.490 * [taylor]: Taking taylor expansion of 0.5 in k 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.490 * [taylor]: Taking taylor expansion of 1.0 in k 1.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.490 * [taylor]: Taking taylor expansion of k in k 1.491 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.491 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.491 * [taylor]: Taking taylor expansion of 2.0 in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.494 * [taylor]: Taking taylor expansion of 0.5 in k 1.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.494 * [taylor]: Taking taylor expansion of k in k 1.494 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.494 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.494 * [taylor]: Taking taylor expansion of 2.0 in k 1.494 * [taylor]: Taking taylor expansion of PI in k 1.500 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.500 * [taylor]: Taking taylor expansion of 0.5 in k 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.500 * [taylor]: Taking taylor expansion of k in k 1.500 * [taylor]: Taking taylor expansion of 1.0 in k 1.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.500 * [taylor]: Taking taylor expansion of 2.0 in k 1.500 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.503 * [taylor]: Taking taylor expansion of 0.5 in k 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.503 * [taylor]: Taking taylor expansion of k in k 1.504 * [taylor]: Taking taylor expansion of 1.0 in k 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.504 * [taylor]: Taking taylor expansion of 2.0 in k 1.504 * [taylor]: Taking taylor expansion of PI in k 1.508 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.509 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.509 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.509 * [taylor]: Taking taylor expansion of 1.0 in k 1.509 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.510 * [taylor]: Taking taylor expansion of 0.5 in k 1.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.511 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.511 * [taylor]: Taking taylor expansion of 2.0 in k 1.511 * [taylor]: Taking taylor expansion of PI in k 1.515 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.515 * [taylor]: Taking taylor expansion of 1.0 in k 1.515 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.515 * [taylor]: Taking taylor expansion of k in k 1.516 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.516 * [taylor]: Taking taylor expansion of 0.5 in k 1.516 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [taylor]: Taking taylor expansion of k in k 1.516 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.516 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.516 * [taylor]: Taking taylor expansion of 2.0 in k 1.516 * [taylor]: Taking taylor expansion of PI in k 1.732 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.732 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.733 * [taylor]: Taking taylor expansion of 0.5 in k 1.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.734 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.734 * [taylor]: Taking taylor expansion of 2.0 in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.737 * [taylor]: Taking taylor expansion of 1.0 in k 1.737 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.737 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.737 * [taylor]: Taking taylor expansion of k in k 1.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.738 * [taylor]: Taking taylor expansion of 0.5 in k 1.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.738 * [taylor]: Taking taylor expansion of 1.0 in k 1.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.738 * [taylor]: Taking taylor expansion of k in k 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.739 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.739 * [taylor]: Taking taylor expansion of 2.0 in k 1.739 * [taylor]: Taking taylor expansion of PI in k 1.761 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.762 * [taylor]: Taking taylor expansion of 1.0 in k 1.762 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.762 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.762 * [taylor]: Taking taylor expansion of 0.5 in k 1.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.762 * [taylor]: Taking taylor expansion of k in k 1.762 * [taylor]: Taking taylor expansion of 1.0 in k 1.762 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.762 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.762 * [taylor]: Taking taylor expansion of 2.0 in k 1.762 * [taylor]: Taking taylor expansion of PI in k 1.765 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.765 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.765 * [taylor]: Taking taylor expansion of -1 in k 1.765 * [taylor]: Taking taylor expansion of k in k 1.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.767 * [taylor]: Taking taylor expansion of 1.0 in k 1.767 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.767 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.767 * [taylor]: Taking taylor expansion of 0.5 in k 1.767 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.767 * [taylor]: Taking taylor expansion of k in k 1.768 * [taylor]: Taking taylor expansion of 1.0 in k 1.768 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.768 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.768 * [taylor]: Taking taylor expansion of 2.0 in k 1.768 * [taylor]: Taking taylor expansion of PI in k 1.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.771 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.771 * [taylor]: Taking taylor expansion of -1 in k 1.771 * [taylor]: Taking taylor expansion of k in k 1.790 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.790 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.790 * [taylor]: Taking taylor expansion of k in k 1.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.792 * [taylor]: Taking taylor expansion of 1.0 in k 1.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.792 * [taylor]: Taking taylor expansion of k in k 1.803 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.803 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.803 * [taylor]: Taking taylor expansion of 1.0 in k 1.803 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.803 * [taylor]: Taking taylor expansion of k in k 1.804 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.804 * [taylor]: Taking taylor expansion of 1.0 in k 1.804 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.804 * [taylor]: Taking taylor expansion of k in k 1.821 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.821 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.821 * [taylor]: Taking taylor expansion of 1.0 in k 1.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.821 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.821 * [taylor]: Taking taylor expansion of -1 in k 1.821 * [taylor]: Taking taylor expansion of k in k 1.823 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.823 * [taylor]: Taking taylor expansion of 1.0 in k 1.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.823 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.823 * [taylor]: Taking taylor expansion of -1 in k 1.823 * [taylor]: Taking taylor expansion of k in k 1.834 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.834 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.834 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.834 * [taylor]: Taking taylor expansion of 0.5 in k 1.834 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.834 * [taylor]: Taking taylor expansion of 1.0 in k 1.834 * [taylor]: Taking taylor expansion of k in k 1.834 * [taylor]: Taking taylor expansion of (log n) in k 1.834 * [taylor]: Taking taylor expansion of n in k 1.835 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.835 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.835 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.835 * [taylor]: Taking taylor expansion of 0.5 in n 1.835 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.835 * [taylor]: Taking taylor expansion of 1.0 in n 1.835 * [taylor]: Taking taylor expansion of k in n 1.835 * [taylor]: Taking taylor expansion of (log n) in n 1.835 * [taylor]: Taking taylor expansion of n in n 1.836 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.836 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.836 * [taylor]: Taking taylor expansion of 0.5 in n 1.836 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.836 * [taylor]: Taking taylor expansion of 1.0 in n 1.836 * [taylor]: Taking taylor expansion of k in n 1.836 * [taylor]: Taking taylor expansion of (log n) in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.837 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.837 * [taylor]: Taking taylor expansion of 0.5 in k 1.837 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.837 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.837 * [taylor]: Taking taylor expansion of k in k 1.837 * [taylor]: Taking taylor expansion of (log n) in k 1.837 * [taylor]: Taking taylor expansion of n in k 1.840 * [taylor]: Taking taylor expansion of 0 in k 1.845 * [taylor]: Taking taylor expansion of 0 in k 1.849 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.849 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.849 * [taylor]: Taking taylor expansion of 0.5 in k 1.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.849 * [taylor]: Taking taylor expansion of 1.0 in k 1.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.849 * [taylor]: Taking taylor expansion of k in k 1.849 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.850 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.850 * [taylor]: Taking taylor expansion of n in k 1.850 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.851 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.851 * [taylor]: Taking taylor expansion of 0.5 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 (/ 1 n)) in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.852 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.852 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.852 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.852 * [taylor]: Taking taylor expansion of 0.5 in n 1.852 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.852 * [taylor]: Taking taylor expansion of 1.0 in n 1.852 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.852 * [taylor]: Taking taylor expansion of k in n 1.852 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.852 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.852 * [taylor]: Taking taylor expansion of n in n 1.853 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.853 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.853 * [taylor]: Taking taylor expansion of -0.5 in k 1.853 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.853 * [taylor]: Taking taylor expansion of (log n) in k 1.853 * [taylor]: Taking taylor expansion of n in k 1.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.853 * [taylor]: Taking taylor expansion of k in k 1.857 * [taylor]: Taking taylor expansion of 0 in k 1.861 * [taylor]: Taking taylor expansion of 0 in k 1.867 * [taylor]: Taking taylor expansion of 0 in k 1.867 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.868 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.868 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.868 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.868 * [taylor]: Taking taylor expansion of -1 in k 1.868 * [taylor]: Taking taylor expansion of n in k 1.869 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.869 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.869 * [taylor]: Taking taylor expansion of 0.5 in n 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.869 * [taylor]: Taking taylor expansion of k in n 1.869 * [taylor]: Taking taylor expansion of 1.0 in n 1.869 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.869 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.869 * [taylor]: Taking taylor expansion of -1 in n 1.869 * [taylor]: Taking taylor expansion of n in n 1.871 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.871 * [taylor]: Taking taylor expansion of 0.5 in n 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.871 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.871 * [taylor]: Taking taylor expansion of -1 in n 1.871 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.873 * [taylor]: Taking taylor expansion of 0.5 in k 1.873 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.873 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.873 * [taylor]: Taking taylor expansion of (log -1) in k 1.873 * [taylor]: Taking taylor expansion of -1 in k 1.873 * [taylor]: Taking taylor expansion of (log n) in k 1.873 * [taylor]: Taking taylor expansion of n in k 1.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.874 * [taylor]: Taking taylor expansion of 1.0 in k 1.879 * [taylor]: Taking taylor expansion of 0 in k 1.884 * [taylor]: Taking taylor expansion of 0 in k 1.891 * [taylor]: Taking taylor expansion of 0 in k 1.891 * * * [progress]: simplifying candidates 1.893 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 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(sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (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 (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 1.980 * * * [progress]: adding candidates to table 2.430 * * [progress]: iteration 3 / 4 2.431 * * * [progress]: picking best candidate 2.458 * * * * [pick]: Picked # 2.458 * * * [progress]: localizing error 2.477 * * * [progress]: generating rewritten candidates 2.477 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.499 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.511 * * * [progress]: generating series expansions 2.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.512 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.512 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.512 * [taylor]: Taking taylor expansion of 0.5 in k 2.512 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.512 * [taylor]: Taking taylor expansion of 1.0 in k 2.512 * [taylor]: Taking taylor expansion of k in k 2.512 * [taylor]: Taking taylor expansion of (log PI) in k 2.512 * [taylor]: Taking taylor expansion of PI in k 2.515 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.515 * [taylor]: Taking taylor expansion of 0.5 in k 2.515 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.515 * [taylor]: Taking taylor expansion of 1.0 in k 2.515 * [taylor]: Taking taylor expansion of k in k 2.515 * [taylor]: Taking taylor expansion of (log PI) in k 2.515 * [taylor]: Taking taylor expansion of PI in k 2.552 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.552 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.552 * [taylor]: Taking taylor expansion of 0.5 in k 2.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.552 * [taylor]: Taking taylor expansion of 1.0 in k 2.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.552 * [taylor]: Taking taylor expansion of k in k 2.552 * [taylor]: Taking taylor expansion of (log PI) in k 2.552 * [taylor]: Taking taylor expansion of PI in k 2.554 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.554 * [taylor]: Taking taylor expansion of 0.5 in k 2.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.554 * [taylor]: Taking taylor expansion of 1.0 in k 2.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.554 * [taylor]: Taking taylor expansion of k in k 2.555 * [taylor]: Taking taylor expansion of (log PI) in k 2.555 * [taylor]: Taking taylor expansion of PI in k 2.557 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.557 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.558 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.558 * [taylor]: Taking taylor expansion of 0.5 in k 2.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.558 * [taylor]: Taking taylor expansion of k in k 2.558 * [taylor]: Taking taylor expansion of 1.0 in k 2.558 * [taylor]: Taking taylor expansion of (log PI) in k 2.558 * [taylor]: Taking taylor expansion of PI in k 2.560 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.560 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.560 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.560 * [taylor]: Taking taylor expansion of 0.5 in k 2.560 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.560 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.560 * [taylor]: Taking taylor expansion of k in k 2.560 * [taylor]: Taking taylor expansion of 1.0 in k 2.560 * [taylor]: Taking taylor expansion of (log PI) in k 2.560 * [taylor]: Taking taylor expansion of PI in k 2.563 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.563 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.563 * [taylor]: Taking taylor expansion of 1.0 in k 2.563 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.563 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.564 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.564 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.564 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.564 * [taylor]: Taking taylor expansion of 0.5 in k 2.564 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (log PI) in k 2.564 * [taylor]: Taking taylor expansion of PI in k 2.567 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.567 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.567 * [taylor]: Taking taylor expansion of 0.5 in k 2.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.567 * [taylor]: Taking taylor expansion of k in k 2.567 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.567 * [taylor]: Taking taylor expansion of 2.0 in k 2.570 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.570 * [taylor]: Taking taylor expansion of 1.0 in k 2.570 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.570 * [taylor]: Taking taylor expansion of k in k 2.571 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.571 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.571 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.571 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.571 * [taylor]: Taking taylor expansion of 0.5 in k 2.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.571 * [taylor]: Taking taylor expansion of 1.0 in k 2.571 * [taylor]: Taking taylor expansion of k in k 2.571 * [taylor]: Taking taylor expansion of (log PI) in k 2.571 * [taylor]: Taking taylor expansion of PI in k 2.574 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.574 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.574 * [taylor]: Taking taylor expansion of 0.5 in k 2.574 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.574 * [taylor]: Taking taylor expansion of 1.0 in k 2.574 * [taylor]: Taking taylor expansion of k in k 2.574 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.574 * [taylor]: Taking taylor expansion of 2.0 in k 3.245 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.245 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.245 * [taylor]: Taking taylor expansion of k in k 3.247 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.247 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.247 * [taylor]: Taking taylor expansion of 0.5 in k 3.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.247 * [taylor]: Taking taylor expansion of 1.0 in k 3.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.247 * [taylor]: Taking taylor expansion of k in k 3.247 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.247 * [taylor]: Taking taylor expansion of 2.0 in k 3.249 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.249 * [taylor]: Taking taylor expansion of 0.5 in k 3.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.249 * [taylor]: Taking taylor expansion of k in k 3.249 * [taylor]: Taking taylor expansion of (log PI) in k 3.249 * [taylor]: Taking taylor expansion of PI in k 3.251 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.251 * [taylor]: Taking taylor expansion of 1.0 in k 3.251 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.251 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.251 * [taylor]: Taking taylor expansion of k in k 3.252 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.252 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.253 * [taylor]: Taking taylor expansion of 0.5 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 3.253 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.253 * [taylor]: Taking taylor expansion of 2.0 in k 3.255 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.255 * [taylor]: Taking taylor expansion of 0.5 in k 3.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.255 * [taylor]: Taking taylor expansion of 1.0 in k 3.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.255 * [taylor]: Taking taylor expansion of k in k 3.255 * [taylor]: Taking taylor expansion of (log PI) in k 3.255 * [taylor]: Taking taylor expansion of PI in k 3.285 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 3.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.285 * [taylor]: Taking taylor expansion of 1.0 in k 3.285 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.285 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.285 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.285 * [taylor]: Taking taylor expansion of 0.5 in k 3.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.285 * [taylor]: Taking taylor expansion of k in k 3.286 * [taylor]: Taking taylor expansion of 1.0 in k 3.286 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.286 * [taylor]: Taking taylor expansion of 2.0 in k 3.287 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.287 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.287 * [taylor]: Taking taylor expansion of 0.5 in k 3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.287 * [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 PI) in k 3.288 * [taylor]: Taking taylor expansion of PI in k 3.289 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.289 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.289 * [taylor]: Taking taylor expansion of -1 in k 3.290 * [taylor]: Taking taylor expansion of k in k 3.292 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.292 * [taylor]: Taking taylor expansion of 1.0 in k 3.292 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.292 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.292 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.292 * [taylor]: Taking taylor expansion of 0.5 in k 3.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.292 * [taylor]: Taking taylor expansion of k in k 3.293 * [taylor]: Taking taylor expansion of 1.0 in k 3.293 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.293 * [taylor]: Taking taylor expansion of 2.0 in k 3.294 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.295 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.295 * [taylor]: Taking taylor expansion of 0.5 in k 3.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.295 * [taylor]: Taking taylor expansion of k in k 3.295 * [taylor]: Taking taylor expansion of 1.0 in k 3.295 * [taylor]: Taking taylor expansion of (log PI) in k 3.295 * [taylor]: Taking taylor expansion of PI in k 3.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.297 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.297 * [taylor]: Taking taylor expansion of -1 in k 3.297 * [taylor]: Taking taylor expansion of k in k 3.318 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.318 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.318 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.318 * [taylor]: Taking taylor expansion of 1.0 in k 3.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.318 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.318 * [taylor]: Taking taylor expansion of k in k 3.319 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.319 * [taylor]: Taking taylor expansion of 1.0 in k 3.319 * [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 3.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.330 * [taylor]: Taking taylor expansion of 1.0 in k 3.330 * [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 3.342 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.342 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.342 * [taylor]: Taking taylor expansion of 1.0 in k 3.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.342 * [taylor]: Taking taylor expansion of -1 in k 3.342 * [taylor]: Taking taylor expansion of k in k 3.343 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.344 * [taylor]: Taking taylor expansion of 1.0 in k 3.344 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.344 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.344 * [taylor]: Taking taylor expansion of -1 in k 3.344 * [taylor]: Taking taylor expansion of k in k 3.355 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.355 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 3.355 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.355 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.355 * [taylor]: Taking taylor expansion of 0.5 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 n) in k 3.355 * [taylor]: Taking taylor expansion of n in k 3.356 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.356 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.356 * [taylor]: Taking taylor expansion of 0.5 in n 3.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.356 * [taylor]: Taking taylor expansion of 1.0 in n 3.356 * [taylor]: Taking taylor expansion of k in n 3.356 * [taylor]: Taking taylor expansion of (log n) in n 3.356 * [taylor]: Taking taylor expansion of n in n 3.357 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.357 * [taylor]: Taking taylor expansion of 0.5 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 n) in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 3.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 3.358 * [taylor]: Taking taylor expansion of 0.5 in k 3.358 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.358 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.358 * [taylor]: Taking taylor expansion of 1.0 in k 3.358 * [taylor]: Taking taylor expansion of k in k 3.358 * [taylor]: Taking taylor expansion of (log n) in k 3.358 * [taylor]: Taking taylor expansion of n in k 3.361 * [taylor]: Taking taylor expansion of 0 in k 3.373 * [taylor]: Taking taylor expansion of 0 in k 3.377 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.377 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.377 * [taylor]: Taking taylor expansion of 0.5 in k 3.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.377 * [taylor]: Taking taylor expansion of 1.0 in k 3.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.377 * [taylor]: Taking taylor expansion of k in k 3.377 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.377 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.377 * [taylor]: Taking taylor expansion of n in k 3.378 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.378 * [taylor]: Taking taylor expansion of 0.5 in n 3.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.378 * [taylor]: Taking taylor expansion of 1.0 in n 3.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.378 * [taylor]: Taking taylor expansion of k in n 3.378 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.378 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.378 * [taylor]: Taking taylor expansion of n in n 3.379 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.379 * [taylor]: Taking taylor expansion of 0.5 in n 3.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.380 * [taylor]: Taking taylor expansion of 1.0 in n 3.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.380 * [taylor]: Taking taylor expansion of k in n 3.380 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.380 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.380 * [taylor]: Taking taylor expansion of n in n 3.381 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 3.381 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 3.381 * [taylor]: Taking taylor expansion of -0.5 in k 3.381 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.381 * [taylor]: Taking taylor expansion of (log n) in k 3.381 * [taylor]: Taking taylor expansion of n in k 3.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.381 * [taylor]: Taking taylor expansion of 1.0 in k 3.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.381 * [taylor]: Taking taylor expansion of k in k 3.385 * [taylor]: Taking taylor expansion of 0 in k 3.389 * [taylor]: Taking taylor expansion of 0 in k 3.395 * [taylor]: Taking taylor expansion of 0 in k 3.395 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.395 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.395 * [taylor]: Taking taylor expansion of 0.5 in k 3.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.395 * [taylor]: Taking taylor expansion of k in k 3.396 * [taylor]: Taking taylor expansion of 1.0 in k 3.396 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.396 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.396 * [taylor]: Taking taylor expansion of -1 in k 3.396 * [taylor]: Taking taylor expansion of n in k 3.397 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.397 * [taylor]: Taking taylor expansion of 0.5 in n 3.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.397 * [taylor]: Taking taylor expansion of k in n 3.397 * [taylor]: Taking taylor expansion of 1.0 in n 3.397 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.397 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.397 * [taylor]: Taking taylor expansion of -1 in n 3.397 * [taylor]: Taking taylor expansion of n in n 3.398 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.399 * [taylor]: Taking taylor expansion of 0.5 in n 3.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.399 * [taylor]: Taking taylor expansion of k in n 3.399 * [taylor]: Taking taylor expansion of 1.0 in n 3.399 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.399 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.399 * [taylor]: Taking taylor expansion of -1 in n 3.399 * [taylor]: Taking taylor expansion of n in n 3.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.401 * [taylor]: Taking taylor expansion of 0.5 in k 3.401 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.401 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.401 * [taylor]: Taking taylor expansion of (log -1) in k 3.401 * [taylor]: Taking taylor expansion of -1 in k 3.401 * [taylor]: Taking taylor expansion of (log n) in k 3.401 * [taylor]: Taking taylor expansion of n in k 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.401 * [taylor]: Taking taylor expansion of k in k 3.401 * [taylor]: Taking taylor expansion of 1.0 in k 3.406 * [taylor]: Taking taylor expansion of 0 in k 3.411 * [taylor]: Taking taylor expansion of 0 in k 3.418 * [taylor]: Taking taylor expansion of 0 in k 3.418 * * * [progress]: simplifying candidates 3.421 * [simplify]: Simplifying using # : (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 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(sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (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 n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (fma (* 0.125 (* (pow k 2) (pow (log PI) 2))) (pow (pow PI 1.0) 0.5) (- (pow PI 0.5) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (fma (- (* +nan.0 (* (pow k 2) (* (log 2.0) (log PI))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (log PI)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (log 2.0)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) +nan.0 (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) k) (fma +nan.0 (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 3)))) (fma (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) (fma +nan.0 (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2)))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) 3.524 * * * [progress]: adding candidates to table 4.017 * * [progress]: iteration 4 / 4 4.017 * * * [progress]: picking best candidate 4.041 * * * * [pick]: Picked # 4.042 * * * [progress]: localizing error 4.065 * * * [progress]: generating rewritten candidates 4.065 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 4.072 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.086 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.106 * * * [progress]: generating series expansions 4.106 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 4.107 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 4.107 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.107 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.107 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.107 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.107 * [taylor]: Taking taylor expansion of 0.5 in k 4.107 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.107 * [taylor]: Taking taylor expansion of 1.0 in k 4.107 * [taylor]: Taking taylor expansion of k in k 4.107 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.107 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.107 * [taylor]: Taking taylor expansion of 2.0 in k 4.107 * [taylor]: Taking taylor expansion of PI in k 4.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.111 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.111 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.111 * [taylor]: Taking taylor expansion of 0.5 in k 4.111 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.111 * [taylor]: Taking taylor expansion of 1.0 in k 4.111 * [taylor]: Taking taylor expansion of k in k 4.111 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.111 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.111 * [taylor]: Taking taylor expansion of 2.0 in k 4.111 * [taylor]: Taking taylor expansion of PI in k 4.159 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.159 * [taylor]: Taking taylor expansion of 0.5 in k 4.159 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.159 * [taylor]: Taking taylor expansion of 1.0 in k 4.159 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.159 * [taylor]: Taking taylor expansion of k in k 4.159 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.159 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.159 * [taylor]: Taking taylor expansion of 2.0 in k 4.159 * [taylor]: Taking taylor expansion of PI in k 4.162 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.163 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.163 * [taylor]: Taking taylor expansion of 0.5 in k 4.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.163 * [taylor]: Taking taylor expansion of 1.0 in k 4.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.163 * [taylor]: Taking taylor expansion of k in k 4.163 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.163 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.163 * [taylor]: Taking taylor expansion of 2.0 in k 4.163 * [taylor]: Taking taylor expansion of PI in k 4.168 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.168 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.168 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.168 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.168 * [taylor]: Taking taylor expansion of 0.5 in k 4.168 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.168 * [taylor]: Taking taylor expansion of k in k 4.169 * [taylor]: Taking taylor expansion of 1.0 in k 4.169 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.169 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.169 * [taylor]: Taking taylor expansion of 2.0 in k 4.169 * [taylor]: Taking taylor expansion of PI in k 4.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.172 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.172 * [taylor]: Taking taylor expansion of 0.5 in k 4.172 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.172 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.172 * [taylor]: Taking taylor expansion of k in k 4.172 * [taylor]: Taking taylor expansion of 1.0 in k 4.172 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.172 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.172 * [taylor]: Taking taylor expansion of 2.0 in k 4.172 * [taylor]: Taking taylor expansion of PI in k 4.177 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.178 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 4.178 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.178 * [taylor]: Taking taylor expansion of 1.0 in k 4.178 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.178 * [taylor]: Taking taylor expansion of k in k 4.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.179 * [taylor]: Taking taylor expansion of 0.5 in k 4.179 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.179 * [taylor]: Taking taylor expansion of 1.0 in k 4.179 * [taylor]: Taking taylor expansion of k in k 4.179 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.179 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.179 * [taylor]: Taking taylor expansion of 2.0 in k 4.179 * [taylor]: Taking taylor expansion of PI in k 4.184 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 4.184 * [taylor]: Taking taylor expansion of 1.0 in k 4.184 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 4.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.184 * [taylor]: Taking taylor expansion of k in k 4.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.185 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.185 * [taylor]: Taking taylor expansion of 0.5 in k 4.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.185 * [taylor]: Taking taylor expansion of 1.0 in k 4.185 * [taylor]: Taking taylor expansion of k in k 4.185 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.185 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.185 * [taylor]: Taking taylor expansion of 2.0 in k 4.185 * [taylor]: Taking taylor expansion of PI in k 4.401 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 4.401 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.401 * [taylor]: Taking taylor expansion of 1.0 in k 4.401 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.401 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.401 * [taylor]: Taking taylor expansion of k in k 4.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.402 * [taylor]: Taking taylor expansion of 0.5 in k 4.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.402 * [taylor]: Taking taylor expansion of 1.0 in k 4.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.403 * [taylor]: Taking taylor expansion of k in k 4.403 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.403 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.403 * [taylor]: Taking taylor expansion of 2.0 in k 4.403 * [taylor]: Taking taylor expansion of PI in k 4.406 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.406 * [taylor]: Taking taylor expansion of 1.0 in k 4.406 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.406 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.406 * [taylor]: Taking taylor expansion of k in k 4.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.407 * [taylor]: Taking taylor expansion of 0.5 in k 4.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.407 * [taylor]: Taking taylor expansion of 1.0 in k 4.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.407 * [taylor]: Taking taylor expansion of k in k 4.408 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.408 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.408 * [taylor]: Taking taylor expansion of 2.0 in k 4.408 * [taylor]: Taking taylor expansion of PI in k 4.436 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 4.436 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.436 * [taylor]: Taking taylor expansion of 1.0 in k 4.436 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.436 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.436 * [taylor]: Taking taylor expansion of 0.5 in k 4.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.436 * [taylor]: Taking taylor expansion of k in k 4.437 * [taylor]: Taking taylor expansion of 1.0 in k 4.437 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.437 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.437 * [taylor]: Taking taylor expansion of 2.0 in k 4.437 * [taylor]: Taking taylor expansion of PI in k 4.440 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.440 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.440 * [taylor]: Taking taylor expansion of -1 in k 4.440 * [taylor]: Taking taylor expansion of k in k 4.442 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.442 * [taylor]: Taking taylor expansion of 1.0 in k 4.442 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.442 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.442 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.442 * [taylor]: Taking taylor expansion of 0.5 in k 4.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.442 * [taylor]: Taking taylor expansion of k in k 4.442 * [taylor]: Taking taylor expansion of 1.0 in k 4.442 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.442 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.442 * [taylor]: Taking taylor expansion of 2.0 in k 4.442 * [taylor]: Taking taylor expansion of PI in k 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.446 * [taylor]: Taking taylor expansion of -1 in k 4.446 * [taylor]: Taking taylor expansion of k in k 4.465 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.465 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.465 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.465 * [taylor]: Taking taylor expansion of 1.0 in k 4.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.465 * [taylor]: Taking taylor expansion of k in k 4.467 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.467 * [taylor]: Taking taylor expansion of 1.0 in k 4.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.467 * [taylor]: Taking taylor expansion of k in k 4.478 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.478 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.478 * [taylor]: Taking taylor expansion of 1.0 in k 4.478 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.478 * [taylor]: Taking taylor expansion of k in k 4.479 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.479 * [taylor]: Taking taylor expansion of 1.0 in k 4.479 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.479 * [taylor]: Taking taylor expansion of k in k 4.489 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.489 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.489 * [taylor]: Taking taylor expansion of 1.0 in k 4.489 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.489 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.489 * [taylor]: Taking taylor expansion of -1 in k 4.489 * [taylor]: Taking taylor expansion of k in k 4.491 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.491 * [taylor]: Taking taylor expansion of 1.0 in k 4.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.491 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.491 * [taylor]: Taking taylor expansion of -1 in k 4.491 * [taylor]: Taking taylor expansion of k in k 4.502 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.503 * [approximate]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in (n k) around 0 4.503 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in k 4.503 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.503 * [taylor]: Taking taylor expansion of 0.5 in k 4.503 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.503 * [taylor]: Taking taylor expansion of 1.0 in k 4.503 * [taylor]: Taking taylor expansion of (log n) in k 4.503 * [taylor]: Taking taylor expansion of n in k 4.503 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in k 4.503 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in k 4.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in k 4.504 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in k 4.504 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.504 * [taylor]: Taking taylor expansion of 0.5 in k 4.504 * [taylor]: Taking taylor expansion of k in k 4.504 * [taylor]: Taking taylor expansion of (log n) in k 4.504 * [taylor]: Taking taylor expansion of n in k 4.506 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in n 4.506 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in n 4.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in n 4.506 * [taylor]: Taking taylor expansion of 0.5 in n 4.506 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [taylor]: Taking taylor expansion of (log n) in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in n 4.507 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in n 4.507 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in n 4.507 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.507 * [taylor]: Taking taylor expansion of 0.5 in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [taylor]: Taking taylor expansion of (log n) in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.508 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (pow n (* 0.5 k)))) in n 4.508 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in n 4.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in n 4.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in n 4.508 * [taylor]: Taking taylor expansion of 0.5 in n 4.508 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.508 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.508 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.508 * [taylor]: Taking taylor expansion of 1.0 in n 4.508 * [taylor]: Taking taylor expansion of (log n) in n 4.508 * [taylor]: Taking taylor expansion of n in n 4.509 * [taylor]: Taking taylor expansion of (/ 1 (pow n (* 0.5 k))) in n 4.509 * [taylor]: Taking taylor expansion of (pow n (* 0.5 k)) in n 4.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log n))) in n 4.509 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log n)) in n 4.509 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.509 * [taylor]: Taking taylor expansion of 0.5 in n 4.509 * [taylor]: Taking taylor expansion of k in n 4.509 * [taylor]: Taking taylor expansion of (log n) in n 4.509 * [taylor]: Taking taylor expansion of n in n 4.510 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.5) (/ 1 (exp (* 0.5 (* k (log n)))))) in k 4.510 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.5) in k 4.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow n 1.0)))) in k 4.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow n 1.0))) in k 4.510 * [taylor]: Taking taylor expansion of 0.5 in k 4.510 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.510 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.510 * [taylor]: Taking taylor expansion of 1.0 in k 4.510 * [taylor]: Taking taylor expansion of (log n) in k 4.510 * [taylor]: Taking taylor expansion of n in k 4.510 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (log n))))) in k 4.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (log n)))) in k 4.510 * [taylor]: Taking taylor expansion of (* 0.5 (* k (log n))) in k 4.510 * [taylor]: Taking taylor expansion of 0.5 in k 4.510 * [taylor]: Taking taylor expansion of (* k (log n)) in k 4.511 * [taylor]: Taking taylor expansion of k in k 4.511 * [taylor]: Taking taylor expansion of (log n) in k 4.511 * [taylor]: Taking taylor expansion of n in k 4.518 * [taylor]: Taking taylor expansion of 0 in k 4.537 * [taylor]: Taking taylor expansion of 0 in k 4.547 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in (n k) around 0 4.547 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in k 4.547 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in k 4.547 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in k 4.547 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in k 4.547 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in k 4.547 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.547 * [taylor]: Taking taylor expansion of 0.5 in k 4.547 * [taylor]: Taking taylor expansion of k in k 4.547 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.547 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.547 * [taylor]: Taking taylor expansion of n in k 4.547 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.547 * [taylor]: Taking taylor expansion of 0.5 in k 4.547 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.547 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.547 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.548 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.548 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.548 * [taylor]: Taking taylor expansion of 1.0 in k 4.548 * [taylor]: Taking taylor expansion of (log n) in k 4.548 * [taylor]: Taking taylor expansion of n in k 4.548 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.548 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in n 4.548 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in n 4.548 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in n 4.548 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in n 4.548 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.548 * [taylor]: Taking taylor expansion of 0.5 in n 4.548 * [taylor]: Taking taylor expansion of k in n 4.548 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.548 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.548 * [taylor]: Taking taylor expansion of n in n 4.549 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.549 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.549 * [taylor]: Taking taylor expansion of 0.5 in n 4.549 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.549 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.549 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.549 * [taylor]: Taking taylor expansion of 1.0 in n 4.549 * [taylor]: Taking taylor expansion of (log n) in n 4.550 * [taylor]: Taking taylor expansion of n in n 4.551 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 1 n) (/ 0.5 k))) (pow (/ 1 (pow n 1.0)) 0.5)) in n 4.551 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 1 n) (/ 0.5 k))) in n 4.551 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (/ 0.5 k)) in n 4.551 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 1 n)))) in n 4.551 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 1 n))) in n 4.551 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.551 * [taylor]: Taking taylor expansion of 0.5 in n 4.551 * [taylor]: Taking taylor expansion of k in n 4.551 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.551 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.551 * [taylor]: Taking taylor expansion of n in n 4.552 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in n 4.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in n 4.552 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in n 4.552 * [taylor]: Taking taylor expansion of 0.5 in n 4.552 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 4.552 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.552 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.552 * [taylor]: Taking taylor expansion of 1.0 in n 4.552 * [taylor]: Taking taylor expansion of (log n) in n 4.552 * [taylor]: Taking taylor expansion of n in n 4.553 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow n 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (log n) k))))) in k 4.553 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.5) in k 4.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (pow n 1.0))))) in k 4.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (pow n 1.0)))) in k 4.553 * [taylor]: Taking taylor expansion of 0.5 in k 4.553 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 4.553 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 4.553 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.553 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.553 * [taylor]: Taking taylor expansion of 1.0 in k 4.553 * [taylor]: Taking taylor expansion of (log n) in k 4.554 * [taylor]: Taking taylor expansion of n in k 4.554 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log n) k)))) in k 4.554 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log n) k))) in k 4.554 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log n) k)) in k 4.554 * [taylor]: Taking taylor expansion of -0.5 in k 4.554 * [taylor]: Taking taylor expansion of (/ (log n) k) in k 4.554 * [taylor]: Taking taylor expansion of (log n) in k 4.554 * [taylor]: Taking taylor expansion of n in k 4.554 * [taylor]: Taking taylor expansion of k in k 4.561 * [taylor]: Taking taylor expansion of 0 in k 4.575 * [taylor]: Taking taylor expansion of 0 in k 4.595 * [taylor]: Taking taylor expansion of 0 in k 4.596 * [approximate]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in (n k) around 0 4.596 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in k 4.596 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.596 * [taylor]: Taking taylor expansion of 0.5 in k 4.596 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.596 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.596 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.597 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.597 * [taylor]: Taking taylor expansion of 1.0 in k 4.597 * [taylor]: Taking taylor expansion of (log -1) in k 4.597 * [taylor]: Taking taylor expansion of -1 in k 4.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.598 * [taylor]: Taking taylor expansion of 1.0 in k 4.599 * [taylor]: Taking taylor expansion of (log n) in k 4.599 * [taylor]: Taking taylor expansion of n in k 4.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in k 4.600 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in k 4.601 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in k 4.601 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in k 4.601 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.601 * [taylor]: Taking taylor expansion of -0.5 in k 4.601 * [taylor]: Taking taylor expansion of k in k 4.601 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.601 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.601 * [taylor]: Taking taylor expansion of -1 in k 4.601 * [taylor]: Taking taylor expansion of n in k 4.601 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in n 4.601 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.601 * [taylor]: Taking taylor expansion of 0.5 in n 4.601 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.601 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.601 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.601 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.601 * [taylor]: Taking taylor expansion of 1.0 in n 4.601 * [taylor]: Taking taylor expansion of (log -1) in n 4.601 * [taylor]: Taking taylor expansion of -1 in n 4.603 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.603 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.603 * [taylor]: Taking taylor expansion of 1.0 in n 4.603 * [taylor]: Taking taylor expansion of (log n) in n 4.603 * [taylor]: Taking taylor expansion of n in n 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in n 4.606 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in n 4.606 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in n 4.606 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in n 4.606 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.606 * [taylor]: Taking taylor expansion of -0.5 in n 4.606 * [taylor]: Taking taylor expansion of k in n 4.606 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.606 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.606 * [taylor]: Taking taylor expansion of -1 in n 4.606 * [taylor]: Taking taylor expansion of n in n 4.608 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (pow (/ -1 n) (/ -0.5 k)))) in n 4.608 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in n 4.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in n 4.608 * [taylor]: Taking taylor expansion of 0.5 in n 4.608 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in n 4.608 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in n 4.608 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 4.608 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [taylor]: Taking taylor expansion of (log -1) in n 4.609 * [taylor]: Taking taylor expansion of -1 in n 4.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.610 * [taylor]: Taking taylor expansion of 1.0 in n 4.610 * [taylor]: Taking taylor expansion of (log n) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.619 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ -1 n) (/ -0.5 k))) in n 4.620 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (/ -0.5 k)) in n 4.620 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -1 n)))) in n 4.620 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -1 n))) in n 4.620 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.620 * [taylor]: Taking taylor expansion of -0.5 in n 4.620 * [taylor]: Taking taylor expansion of k in n 4.620 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.620 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.620 * [taylor]: Taking taylor expansion of -1 in n 4.620 * [taylor]: Taking taylor expansion of n in n 4.623 * [taylor]: Taking taylor expansion of (* (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) (/ 1 (exp (* -0.5 (/ (- (log -1) (log n)) k))))) in k 4.623 * [taylor]: Taking taylor expansion of (pow (/ (pow -1 1.0) (pow n 1.0)) 0.5) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0))))) in k 4.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow -1 1.0) (pow n 1.0)))) in k 4.623 * [taylor]: Taking taylor expansion of 0.5 in k 4.623 * [taylor]: Taking taylor expansion of (log (/ (pow -1 1.0) (pow n 1.0))) in k 4.623 * [taylor]: Taking taylor expansion of (/ (pow -1 1.0) (pow n 1.0)) in k 4.623 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 4.623 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (log -1) in k 4.623 * [taylor]: Taking taylor expansion of -1 in k 4.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.625 * [taylor]: Taking taylor expansion of 1.0 in k 4.625 * [taylor]: Taking taylor expansion of (log n) in k 4.625 * [taylor]: Taking taylor expansion of n in k 4.627 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (- (log -1) (log n)) k)))) in k 4.627 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log -1) (log n)) k))) in k 4.627 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log -1) (log n)) k)) in k 4.627 * [taylor]: Taking taylor expansion of -0.5 in k 4.627 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log n)) k) in k 4.627 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.627 * [taylor]: Taking taylor expansion of (log -1) in k 4.627 * [taylor]: Taking taylor expansion of -1 in k 4.627 * [taylor]: Taking taylor expansion of (log n) in k 4.627 * [taylor]: Taking taylor expansion of n in k 4.627 * [taylor]: Taking taylor expansion of k in k 4.642 * [taylor]: Taking taylor expansion of 0 in k 4.667 * [taylor]: Taking taylor expansion of 0 in k 4.708 * [taylor]: Taking taylor expansion of 0 in k 4.709 * * * [progress]: simplifying candidates 4.713 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (log1p (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (- (/ 1.0 2.0) (/ k 2.0)) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0)))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (* (log n) (/ k 2.0))) (- (* (log n) (/ 1.0 2.0)) (log (pow n (/ k 2.0)))) (- (log (pow n (/ 1.0 2.0))) (* (log n) (/ k 2.0))) (- (log (pow n (/ 1.0 2.0))) (* (log n) (/ k 2.0))) (- (log (pow n (/ 1.0 2.0))) (log (pow n (/ k 2.0)))) (log (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (exp (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (/ (* (* (pow n (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow n (/ k 2.0)) (pow n (/ k 2.0))) (pow n (/ k 2.0)))) (* (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (* (* (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (- (pow n (/ 1.0 2.0))) (- (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow 1 (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow (cbrt n) (/ 1.0 2.0)) 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1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (pow (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) 3) (* (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))))) (cbrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (pow (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) 3) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (sqrt (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)))) (- (pow n (/ 1.0 2.0))) (- (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow (cbrt n) (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (cbrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (* (cbrt n) (cbrt n)) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (cbrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (pow (sqrt n) (/ 1.0 2.0)) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow (sqrt n) (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ (pow (sqrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (/ (pow (sqrt n) (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (pow (sqrt n) (/ 1.0 2.0)) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow (sqrt n) (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ 1 (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (cbrt n) (/ k 2.0))) (/ 1 (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) 1 (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1 (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (cbrt (pow n (/ k 2.0)))) (/ 1 (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) 1 (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1 (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (* (cbrt (pow n (/ 1.0 2.0))) (cbrt (pow n (/ 1.0 2.0)))) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (cbrt (pow n (/ 1.0 2.0))) (pow (cbrt n) (/ k 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2.0)) (pow n (/ k 2.0))) (/ 1 (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (cbrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ k 2.0))) (pow n (/ (/ 1.0 2.0) 2)) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ (/ 1.0 2.0) 2)) (cbrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (/ (pow n (/ (/ 1.0 2.0) 2)) (sqrt (pow n (/ k 2.0)))) (pow n (/ (/ 1.0 2.0) 2)) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2))) (/ 1 (pow n (/ k 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (* (cbrt n) (cbrt n)) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (pow (sqrt n) (/ k 2.0))) (pow n (/ 1.0 2.0)) (/ (pow n (/ 1.0 2.0)) (* (cbrt (pow n (/ k 2.0))) (cbrt (pow n (/ k 2.0))))) (/ (pow n (/ 1.0 2.0)) (sqrt (pow n (/ k 2.0)))) (pow n (/ 1.0 2.0)) (/ (pow n (/ 1.0 2.0)) (pow n (/ (/ k 2.0) 2))) (/ (pow n (/ k 2.0)) (pow (cbrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (cbrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (sqrt (pow n (/ 1.0 2.0)))) (/ (pow n (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (pow n (/ k 2.0)) (pow n (/ (/ 1.0 2.0) 2))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (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 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) 1) (pow (pow n 1.0) 0.5) (- (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (* (/ 1 (exp (* -0.5 (* k (log (/ 1 n)))))) (pow (pow n 1.0) 0.5)) (* (pow (pow n 1.0) 0.5) (/ 1 (exp (* 0.5 (* k (- (log -1) (log (/ -1 n)))))))) 4.815 * * * [progress]: adding candidates to table 5.467 * [progress]: [Phase 3 of 3] Extracting. 5.467 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.469 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.469 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.505 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.531 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.571 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.610 * * * [regime]: Found split indices: #