12.573 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.082 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.083 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.085 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.087 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.093 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.117 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.117 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.133 * * * [progress]: generating rewritten candidates 0.133 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.181 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.181 * [taylor]: Taking taylor expansion of 0.5 in k 0.181 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.181 * [taylor]: Taking taylor expansion of 1.0 in k 0.181 * [taylor]: Taking taylor expansion of k in k 0.181 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.181 * [taylor]: Taking taylor expansion of 2.0 in k 0.181 * [taylor]: Taking taylor expansion of (* n PI) in k 0.181 * [taylor]: Taking taylor expansion of n in k 0.181 * [taylor]: Taking taylor expansion of PI in k 0.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.182 * [taylor]: Taking taylor expansion of 0.5 in n 0.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.182 * [taylor]: Taking taylor expansion of 1.0 in n 0.182 * [taylor]: Taking taylor expansion of k in n 0.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.182 * [taylor]: Taking taylor expansion of 2.0 in n 0.182 * [taylor]: Taking taylor expansion of (* n PI) in n 0.182 * [taylor]: Taking taylor expansion of n in n 0.182 * [taylor]: Taking taylor expansion of PI in n 0.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.188 * [taylor]: Taking taylor expansion of 0.5 in n 0.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.188 * [taylor]: Taking taylor expansion of 1.0 in n 0.188 * [taylor]: Taking taylor expansion of k in n 0.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.188 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.188 * [taylor]: Taking taylor expansion of 2.0 in n 0.188 * [taylor]: Taking taylor expansion of (* n PI) in n 0.188 * [taylor]: Taking taylor expansion of n in n 0.188 * [taylor]: Taking taylor expansion of PI in n 0.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.194 * [taylor]: Taking taylor expansion of 0.5 in k 0.194 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.194 * [taylor]: Taking taylor expansion of 1.0 in k 0.194 * [taylor]: Taking taylor expansion of k in k 0.194 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.194 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.194 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.194 * [taylor]: Taking taylor expansion of 2.0 in k 0.194 * [taylor]: Taking taylor expansion of PI in k 0.195 * [taylor]: Taking taylor expansion of (log n) in k 0.195 * [taylor]: Taking taylor expansion of n in k 0.205 * [taylor]: Taking taylor expansion of 0 in k 0.222 * [taylor]: Taking taylor expansion of 0 in k 0.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.242 * [taylor]: Taking taylor expansion of 0.5 in k 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.242 * [taylor]: Taking taylor expansion of k in k 0.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.243 * [taylor]: Taking taylor expansion of 2.0 in k 0.243 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.243 * [taylor]: Taking taylor expansion of PI in k 0.243 * [taylor]: Taking taylor expansion of n in k 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.244 * [taylor]: Taking taylor expansion of 1.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.244 * [taylor]: Taking taylor expansion of k in n 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.244 * [taylor]: Taking taylor expansion of 2.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.244 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.248 * [taylor]: Taking taylor expansion of 0.5 in n 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.249 * [taylor]: Taking taylor expansion of PI in n 0.249 * [taylor]: Taking taylor expansion of n in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.252 * [taylor]: Taking taylor expansion of 0.5 in k 0.252 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.252 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.252 * [taylor]: Taking taylor expansion of 2.0 in k 0.253 * [taylor]: Taking taylor expansion of PI in k 0.253 * [taylor]: Taking taylor expansion of (log n) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.270 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [taylor]: Taking taylor expansion of 0 in k 0.287 * [taylor]: Taking taylor expansion of 0 in k 0.289 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.289 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.289 * [taylor]: Taking taylor expansion of -2.0 in k 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.289 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.294 * [taylor]: Taking taylor expansion of 0.5 in n 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.294 * [taylor]: Taking taylor expansion of k in n 0.294 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.294 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.294 * [taylor]: Taking taylor expansion of -2.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.294 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.299 * [taylor]: Taking taylor expansion of 1.0 in k 0.299 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.299 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.299 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.299 * [taylor]: Taking taylor expansion of -2.0 in k 0.299 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of (log n) in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.309 * [taylor]: Taking taylor expansion of 0 in k 0.316 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [taylor]: Taking taylor expansion of 0 in k 0.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.327 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.327 * [taylor]: Taking taylor expansion of (* n PI) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.327 * [taylor]: Taking taylor expansion of (* n PI) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.341 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.356 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.356 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.356 * [taylor]: Taking taylor expansion of -2.0 in n 0.356 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.356 * [taylor]: Taking taylor expansion of PI in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.357 * [taylor]: Taking taylor expansion of -2.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.367 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.367 * [taylor]: Taking taylor expansion of 1.0 in k 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.367 * [taylor]: Taking taylor expansion of k in k 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.369 * [taylor]: Taking taylor expansion of k in k 0.381 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.393 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.393 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.393 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.393 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.393 * [taylor]: Taking taylor expansion of -1 in k 0.393 * [taylor]: Taking taylor expansion of k in k 0.394 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.395 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.395 * [taylor]: Taking taylor expansion of -1 in k 0.395 * [taylor]: Taking taylor expansion of k in k 0.407 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.407 * [taylor]: Taking taylor expansion of 1.0 in n 0.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.407 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.408 * [taylor]: Taking taylor expansion of 2.0 in n 0.408 * [taylor]: Taking taylor expansion of (* n PI) in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.414 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.414 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.414 * [taylor]: Taking taylor expansion of k in k 0.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.415 * [taylor]: Taking taylor expansion of 0.5 in k 0.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.415 * [taylor]: Taking taylor expansion of 1.0 in k 0.415 * [taylor]: Taking taylor expansion of k in k 0.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.415 * [taylor]: Taking taylor expansion of 2.0 in k 0.415 * [taylor]: Taking taylor expansion of (* n PI) in k 0.415 * [taylor]: Taking taylor expansion of n in k 0.415 * [taylor]: Taking taylor expansion of PI in k 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.416 * [taylor]: Taking taylor expansion of 1.0 in k 0.416 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.416 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.418 * [taylor]: Taking taylor expansion of 0.5 in k 0.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.418 * [taylor]: Taking taylor expansion of 1.0 in k 0.418 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.418 * [taylor]: Taking taylor expansion of 2.0 in k 0.418 * [taylor]: Taking taylor expansion of (* n PI) in k 0.418 * [taylor]: Taking taylor expansion of n in k 0.418 * [taylor]: Taking taylor expansion of PI in k 0.419 * [taylor]: Taking taylor expansion of 0 in n 0.425 * [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 0.425 * [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 0.425 * [taylor]: Taking taylor expansion of +nan.0 in n 0.425 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.425 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.425 * [taylor]: Taking taylor expansion of 0.5 in n 0.425 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.425 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log PI) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.427 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.427 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.427 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.427 * [taylor]: Taking taylor expansion of 1.0 in n 0.427 * [taylor]: Taking taylor expansion of (log n) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.428 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.428 * [taylor]: Taking taylor expansion of 2.0 in n 0.457 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +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 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.457 * [taylor]: Taking taylor expansion of +nan.0 in n 0.457 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.457 * [taylor]: Taking taylor expansion of 0.5 in n 0.457 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.457 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.457 * [taylor]: Taking taylor expansion of 1.0 in n 0.457 * [taylor]: Taking taylor expansion of (log PI) in n 0.457 * [taylor]: Taking taylor expansion of PI in n 0.459 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (log n) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.465 * [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 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of +nan.0 in n 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.466 * [taylor]: Taking taylor expansion of 0.5 in n 0.466 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.466 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.466 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.466 * [taylor]: Taking taylor expansion of 1.0 in n 0.466 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.466 * [taylor]: Taking taylor expansion of 2.0 in n 0.468 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.468 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.468 * [taylor]: Taking taylor expansion of (log PI) in n 0.468 * [taylor]: Taking taylor expansion of PI in n 0.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.470 * [taylor]: Taking taylor expansion of 1.0 in n 0.470 * [taylor]: Taking taylor expansion of (log n) in n 0.470 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.474 * [taylor]: Taking taylor expansion of (* n PI) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.526 * [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 0.527 * [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 0.527 * [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 0.527 * [taylor]: Taking taylor expansion of +nan.0 in n 0.527 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.527 * [taylor]: Taking taylor expansion of 0.5 in n 0.527 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.529 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log n) in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.530 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log PI) in n 0.530 * [taylor]: Taking taylor expansion of PI in n 0.535 * [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 0.536 * [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 0.536 * [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 0.536 * [taylor]: Taking taylor expansion of +nan.0 in n 0.536 * [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 0.536 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.536 * [taylor]: Taking taylor expansion of 0.5 in n 0.536 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.536 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.536 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.536 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log PI) in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log n) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.544 * [taylor]: Taking taylor expansion of 2.0 in n 0.544 * [taylor]: Taking taylor expansion of (* n PI) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of PI in n 0.553 * [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 0.553 * [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 0.553 * [taylor]: Taking taylor expansion of +nan.0 in n 0.553 * [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 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.554 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log PI) in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of (log n) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* n PI) in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.644 * [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 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.644 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.644 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.644 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.644 * [taylor]: Taking taylor expansion of 0.5 in n 0.644 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.644 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.644 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.644 * [taylor]: Taking taylor expansion of 2.0 in n 0.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.644 * [taylor]: Taking taylor expansion of PI in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.649 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.649 * [taylor]: Taking taylor expansion of 1.0 in k 0.649 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.649 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.649 * [taylor]: Taking taylor expansion of k in k 0.650 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.650 * [taylor]: Taking taylor expansion of 0.5 in k 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.650 * [taylor]: Taking taylor expansion of 1.0 in k 0.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.650 * [taylor]: Taking taylor expansion of k in k 0.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.650 * [taylor]: Taking taylor expansion of 2.0 in k 0.650 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.650 * [taylor]: Taking taylor expansion of PI in k 0.650 * [taylor]: Taking taylor expansion of n in k 0.651 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.652 * [taylor]: Taking taylor expansion of 1.0 in k 0.652 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.652 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.652 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.653 * [taylor]: Taking taylor expansion of 0.5 in k 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.653 * [taylor]: Taking taylor expansion of 1.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.653 * [taylor]: Taking taylor expansion of k in k 0.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.653 * [taylor]: Taking taylor expansion of 2.0 in k 0.653 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.653 * [taylor]: Taking taylor expansion of PI in k 0.653 * [taylor]: Taking taylor expansion of n in k 0.655 * [taylor]: Taking taylor expansion of 0 in n 0.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.656 * [taylor]: Taking taylor expansion of +nan.0 in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.656 * [taylor]: Taking taylor expansion of 2.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.666 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.666 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.666 * [taylor]: Taking taylor expansion of +nan.0 in n 0.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.666 * [taylor]: Taking taylor expansion of 0.5 in n 0.666 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.666 * [taylor]: Taking taylor expansion of 2.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.666 * [taylor]: Taking taylor expansion of PI in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.668 * [taylor]: Taking taylor expansion of k in n 0.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.685 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.685 * [taylor]: Taking taylor expansion of +nan.0 in n 0.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.685 * [taylor]: Taking taylor expansion of 0.5 in n 0.685 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.685 * [taylor]: Taking taylor expansion of 2.0 in n 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.685 * [taylor]: Taking taylor expansion of PI in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.687 * [taylor]: Taking taylor expansion of 1.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.687 * [taylor]: Taking taylor expansion of k in n 0.696 * [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 0.696 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of 1.0 in n 0.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of -2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.701 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.701 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.701 * [taylor]: Taking taylor expansion of -1 in n 0.701 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.702 * [taylor]: Taking taylor expansion of 1.0 in k 0.702 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.702 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.702 * [taylor]: Taking taylor expansion of 0.5 in k 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.702 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of 1.0 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 (sqrt (/ -1 k)) in k 0.703 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.703 * [taylor]: Taking taylor expansion of -1 in k 0.703 * [taylor]: Taking taylor expansion of k in k 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.705 * [taylor]: Taking taylor expansion of 1.0 in k 0.705 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.705 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.705 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.705 * [taylor]: Taking taylor expansion of 0.5 in k 0.705 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.705 * [taylor]: Taking taylor expansion of k in k 0.705 * [taylor]: Taking taylor expansion of 1.0 in k 0.705 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.705 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.705 * [taylor]: Taking taylor expansion of -2.0 in k 0.705 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.705 * [taylor]: Taking taylor expansion of PI in k 0.705 * [taylor]: Taking taylor expansion of n in k 0.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.706 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.706 * [taylor]: Taking taylor expansion of -1 in k 0.706 * [taylor]: Taking taylor expansion of k in k 0.708 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.708 * [taylor]: Taking taylor expansion of +nan.0 in n 0.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.708 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.708 * [taylor]: Taking taylor expansion of k in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.708 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.708 * [taylor]: Taking taylor expansion of -2.0 in n 0.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.708 * [taylor]: Taking taylor expansion of PI in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.718 * [taylor]: Taking taylor expansion of +nan.0 in n 0.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.718 * [taylor]: Taking taylor expansion of 0.5 in n 0.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.718 * [taylor]: Taking taylor expansion of k in n 0.718 * [taylor]: Taking taylor expansion of 1.0 in n 0.718 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.718 * [taylor]: Taking taylor expansion of -2.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.718 * [taylor]: Taking taylor expansion of PI in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.743 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.744 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.744 * [taylor]: Taking taylor expansion of -2.0 in n 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.744 * [taylor]: Taking taylor expansion of PI in n 0.744 * [taylor]: Taking taylor expansion of n in n 0.753 * * * [progress]: simplifying candidates 0.756 * [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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (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))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- 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))))))))) 0.858 * * * [progress]: adding candidates to table 1.321 * * [progress]: iteration 2 / 4 1.321 * * * [progress]: picking best candidate 1.347 * * * * [pick]: Picked # 1.347 * * * [progress]: localizing error 1.363 * * * [progress]: generating rewritten candidates 1.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.373 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.384 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.394 * * * [progress]: generating series expansions 1.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.395 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.395 * [taylor]: Taking taylor expansion of 0.5 in k 1.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.395 * [taylor]: Taking taylor expansion of 1.0 in k 1.395 * [taylor]: Taking taylor expansion of k in k 1.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.395 * [taylor]: Taking taylor expansion of 2.0 in k 1.395 * [taylor]: Taking taylor expansion of (* n PI) in k 1.395 * [taylor]: Taking taylor expansion of n in k 1.395 * [taylor]: Taking taylor expansion of PI in k 1.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.397 * [taylor]: Taking taylor expansion of 0.5 in n 1.397 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.397 * [taylor]: Taking taylor expansion of 1.0 in n 1.397 * [taylor]: Taking taylor expansion of k in n 1.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.397 * [taylor]: Taking taylor expansion of 2.0 in n 1.397 * [taylor]: Taking taylor expansion of (* n PI) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.403 * [taylor]: Taking taylor expansion of 0.5 in n 1.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.403 * [taylor]: Taking taylor expansion of 1.0 in n 1.403 * [taylor]: Taking taylor expansion of k in n 1.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.403 * [taylor]: Taking taylor expansion of 2.0 in n 1.403 * [taylor]: Taking taylor expansion of (* n PI) in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.403 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.408 * [taylor]: Taking taylor expansion of 0.5 in k 1.408 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.409 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.409 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.409 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.409 * [taylor]: Taking taylor expansion of 2.0 in k 1.409 * [taylor]: Taking taylor expansion of PI in k 1.410 * [taylor]: Taking taylor expansion of (log n) in k 1.410 * [taylor]: Taking taylor expansion of n in k 1.419 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.456 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.457 * [taylor]: Taking taylor expansion of 0.5 in k 1.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.457 * [taylor]: Taking taylor expansion of 1.0 in k 1.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.457 * [taylor]: Taking taylor expansion of k in k 1.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.457 * [taylor]: Taking taylor expansion of 2.0 in k 1.457 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.457 * [taylor]: Taking taylor expansion of PI in k 1.457 * [taylor]: Taking taylor expansion of n in k 1.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.458 * [taylor]: Taking taylor expansion of 0.5 in n 1.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.458 * [taylor]: Taking taylor expansion of 1.0 in n 1.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.458 * [taylor]: Taking taylor expansion of k in n 1.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.458 * [taylor]: Taking taylor expansion of 2.0 in n 1.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.458 * [taylor]: Taking taylor expansion of PI in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.462 * [taylor]: Taking taylor expansion of 0.5 in n 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.462 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.473 * [taylor]: Taking taylor expansion of 0.5 in k 1.473 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.473 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.473 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.473 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.473 * [taylor]: Taking taylor expansion of 2.0 in k 1.473 * [taylor]: Taking taylor expansion of PI in k 1.474 * [taylor]: Taking taylor expansion of (log n) in k 1.474 * [taylor]: Taking taylor expansion of n in k 1.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.474 * [taylor]: Taking taylor expansion of k in k 1.484 * [taylor]: Taking taylor expansion of 0 in k 1.492 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [taylor]: Taking taylor expansion of 0 in k 1.502 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.502 * [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 1.503 * [taylor]: Taking taylor expansion of 1.0 in k 1.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.503 * [taylor]: Taking taylor expansion of -2.0 in k 1.503 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.503 * [taylor]: Taking taylor expansion of PI in k 1.503 * [taylor]: Taking taylor expansion of n in k 1.504 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.504 * [taylor]: Taking taylor expansion of 0.5 in n 1.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.504 * [taylor]: Taking taylor expansion of k in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.504 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.504 * [taylor]: Taking taylor expansion of -2.0 in n 1.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.508 * [taylor]: Taking taylor expansion of 0.5 in n 1.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of 1.0 in n 1.508 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.508 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.508 * [taylor]: Taking taylor expansion of -2.0 in n 1.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.512 * [taylor]: Taking taylor expansion of 0.5 in k 1.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.512 * [taylor]: Taking taylor expansion of k in k 1.513 * [taylor]: Taking taylor expansion of 1.0 in k 1.513 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.513 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.513 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.513 * [taylor]: Taking taylor expansion of -2.0 in k 1.513 * [taylor]: Taking taylor expansion of PI in k 1.514 * [taylor]: Taking taylor expansion of (log n) in k 1.514 * [taylor]: Taking taylor expansion of n in k 1.523 * [taylor]: Taking taylor expansion of 0 in k 1.531 * [taylor]: Taking taylor expansion of 0 in k 1.541 * [taylor]: Taking taylor expansion of 0 in k 1.542 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.542 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.542 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.542 * [taylor]: Taking taylor expansion of 2.0 in n 1.542 * [taylor]: Taking taylor expansion of (* n PI) in n 1.542 * [taylor]: Taking taylor expansion of n in n 1.542 * [taylor]: Taking taylor expansion of PI in n 1.542 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.542 * [taylor]: Taking taylor expansion of 2.0 in n 1.542 * [taylor]: Taking taylor expansion of (* n PI) in n 1.542 * [taylor]: Taking taylor expansion of n in n 1.542 * [taylor]: Taking taylor expansion of PI in n 1.555 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.555 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.555 * [taylor]: Taking taylor expansion of PI in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.556 * [taylor]: Taking taylor expansion of 2.0 in n 1.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.556 * [taylor]: Taking taylor expansion of PI in n 1.556 * [taylor]: Taking taylor expansion of n in n 1.572 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.572 * [taylor]: Taking taylor expansion of -2.0 in n 1.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.572 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.572 * [taylor]: Taking taylor expansion of -2.0 in n 1.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.572 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.582 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.582 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.582 * [taylor]: Taking taylor expansion of 1.0 in k 1.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.582 * [taylor]: Taking taylor expansion of k in k 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.595 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.595 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.595 * [taylor]: Taking taylor expansion of 1.0 in k 1.595 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.595 * [taylor]: Taking taylor expansion of k in k 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.596 * [taylor]: Taking taylor expansion of k in k 1.607 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.607 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.607 * [taylor]: Taking taylor expansion of 1.0 in k 1.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.607 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.607 * [taylor]: Taking taylor expansion of -1 in k 1.607 * [taylor]: Taking taylor expansion of k in k 1.609 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.609 * [taylor]: Taking taylor expansion of 1.0 in k 1.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.609 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.609 * [taylor]: Taking taylor expansion of -1 in k 1.609 * [taylor]: Taking taylor expansion of k in k 1.621 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.621 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.621 * [taylor]: Taking taylor expansion of k in k 1.622 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.622 * [taylor]: Taking taylor expansion of 1.0 in k 1.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.622 * [taylor]: Taking taylor expansion of k in k 1.635 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.635 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.635 * [taylor]: Taking taylor expansion of 1.0 in k 1.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.635 * [taylor]: Taking taylor expansion of k in k 1.636 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.636 * [taylor]: Taking taylor expansion of 1.0 in k 1.636 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.636 * [taylor]: Taking taylor expansion of k in k 1.647 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.647 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.647 * [taylor]: Taking taylor expansion of 1.0 in k 1.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.647 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.647 * [taylor]: Taking taylor expansion of -1 in k 1.647 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.655 * [taylor]: Taking taylor expansion of -1 in k 1.655 * [taylor]: Taking taylor expansion of k in k 1.667 * * * [progress]: simplifying candidates 1.669 * [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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (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))) (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) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.677 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 1.686 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 1.726 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 1.731 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 1.732 * * * [progress]: adding candidates to table 2.207 * * [progress]: iteration 3 / 4 2.207 * * * [progress]: picking best candidate 2.231 * * * * [pick]: Picked # 2.231 * * * [progress]: localizing error 2.253 * * * [progress]: generating rewritten candidates 2.254 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.263 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.264 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1) 2.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.289 * * * [progress]: generating series expansions 2.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.290 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.290 * [taylor]: Taking taylor expansion of 0.5 in k 2.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.290 * [taylor]: Taking taylor expansion of 1.0 in k 2.290 * [taylor]: Taking taylor expansion of k in k 2.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.290 * [taylor]: Taking taylor expansion of 2.0 in k 2.290 * [taylor]: Taking taylor expansion of (* n PI) in k 2.290 * [taylor]: Taking taylor expansion of n in k 2.290 * [taylor]: Taking taylor expansion of PI in k 2.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.291 * [taylor]: Taking taylor expansion of 0.5 in n 2.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.291 * [taylor]: Taking taylor expansion of 1.0 in n 2.291 * [taylor]: Taking taylor expansion of k in n 2.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.291 * [taylor]: Taking taylor expansion of 2.0 in n 2.291 * [taylor]: Taking taylor expansion of (* n PI) in n 2.291 * [taylor]: Taking taylor expansion of n in n 2.291 * [taylor]: Taking taylor expansion of PI in n 2.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.297 * [taylor]: Taking taylor expansion of 0.5 in n 2.297 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.297 * [taylor]: Taking taylor expansion of 1.0 in n 2.297 * [taylor]: Taking taylor expansion of k in n 2.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.297 * [taylor]: Taking taylor expansion of 2.0 in n 2.297 * [taylor]: Taking taylor expansion of (* n PI) in n 2.297 * [taylor]: Taking taylor expansion of n in n 2.297 * [taylor]: Taking taylor expansion of PI in n 2.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.303 * [taylor]: Taking taylor expansion of 0.5 in k 2.303 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.303 * [taylor]: Taking taylor expansion of 1.0 in k 2.303 * [taylor]: Taking taylor expansion of k in k 2.303 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.304 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.304 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.304 * [taylor]: Taking taylor expansion of 2.0 in k 2.304 * [taylor]: Taking taylor expansion of PI in k 2.305 * [taylor]: Taking taylor expansion of (log n) in k 2.305 * [taylor]: Taking taylor expansion of n in k 2.314 * [taylor]: Taking taylor expansion of 0 in k 2.331 * [taylor]: Taking taylor expansion of 0 in k 2.351 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.351 * [taylor]: Taking taylor expansion of 0.5 in k 2.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.351 * [taylor]: Taking taylor expansion of 1.0 in k 2.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.351 * [taylor]: Taking taylor expansion of k in k 2.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.351 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.352 * [taylor]: Taking taylor expansion of 2.0 in k 2.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.352 * [taylor]: Taking taylor expansion of PI in k 2.352 * [taylor]: Taking taylor expansion of n in k 2.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.353 * [taylor]: Taking taylor expansion of 0.5 in n 2.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.353 * [taylor]: Taking taylor expansion of 1.0 in n 2.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.353 * [taylor]: Taking taylor expansion of k in n 2.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.353 * [taylor]: Taking taylor expansion of 2.0 in n 2.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.353 * [taylor]: Taking taylor expansion of PI in n 2.353 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.357 * [taylor]: Taking taylor expansion of 0.5 in n 2.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.357 * [taylor]: Taking taylor expansion of 1.0 in n 2.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.357 * [taylor]: Taking taylor expansion of k in n 2.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.357 * [taylor]: Taking taylor expansion of 2.0 in n 2.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.369 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.369 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.369 * [taylor]: Taking taylor expansion of 0.5 in k 2.369 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.369 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.369 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.369 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.369 * [taylor]: Taking taylor expansion of 2.0 in k 2.369 * [taylor]: Taking taylor expansion of PI in k 2.370 * [taylor]: Taking taylor expansion of (log n) in k 2.370 * [taylor]: Taking taylor expansion of n in k 2.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.370 * [taylor]: Taking taylor expansion of 1.0 in k 2.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.370 * [taylor]: Taking taylor expansion of k in k 2.380 * [taylor]: Taking taylor expansion of 0 in k 2.388 * [taylor]: Taking taylor expansion of 0 in k 2.397 * [taylor]: Taking taylor expansion of 0 in k 2.399 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.399 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.399 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.399 * [taylor]: Taking taylor expansion of 0.5 in k 2.399 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.399 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.399 * [taylor]: Taking taylor expansion of k in k 2.399 * [taylor]: Taking taylor expansion of 1.0 in k 2.399 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.399 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.399 * [taylor]: Taking taylor expansion of -2.0 in k 2.399 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.399 * [taylor]: Taking taylor expansion of PI in k 2.399 * [taylor]: Taking taylor expansion of n in k 2.400 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.400 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.400 * [taylor]: Taking taylor expansion of 0.5 in n 2.400 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.400 * [taylor]: Taking taylor expansion of k in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.400 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.400 * [taylor]: Taking taylor expansion of -2.0 in n 2.400 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.400 * [taylor]: Taking taylor expansion of PI in n 2.400 * [taylor]: Taking taylor expansion of n in n 2.404 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.405 * [taylor]: Taking taylor expansion of 0.5 in n 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.405 * [taylor]: Taking taylor expansion of k in n 2.405 * [taylor]: Taking taylor expansion of 1.0 in n 2.405 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.405 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.405 * [taylor]: Taking taylor expansion of -2.0 in n 2.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.405 * [taylor]: Taking taylor expansion of PI in n 2.405 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.409 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.409 * [taylor]: Taking taylor expansion of 0.5 in k 2.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.409 * [taylor]: Taking taylor expansion of k in k 2.409 * [taylor]: Taking taylor expansion of 1.0 in k 2.409 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.409 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.409 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.409 * [taylor]: Taking taylor expansion of -2.0 in k 2.409 * [taylor]: Taking taylor expansion of PI in k 2.410 * [taylor]: Taking taylor expansion of (log n) in k 2.410 * [taylor]: Taking taylor expansion of n in k 2.419 * [taylor]: Taking taylor expansion of 0 in k 2.427 * [taylor]: Taking taylor expansion of 0 in k 2.436 * [taylor]: Taking taylor expansion of 0 in k 2.437 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.437 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.437 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.437 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.437 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.437 * [taylor]: Taking taylor expansion of 1/3 in k 2.437 * [taylor]: Taking taylor expansion of (log k) in k 2.437 * [taylor]: Taking taylor expansion of k in k 2.438 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.438 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.438 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.438 * [taylor]: Taking taylor expansion of 1/3 in k 2.438 * [taylor]: Taking taylor expansion of (log k) in k 2.438 * [taylor]: Taking taylor expansion of k in k 2.495 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.495 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.495 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.495 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.495 * [taylor]: Taking taylor expansion of 1/3 in k 2.495 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.495 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.495 * [taylor]: Taking taylor expansion of k in k 2.496 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.496 * [taylor]: Taking taylor expansion of 1/3 in k 2.496 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.496 * [taylor]: Taking taylor expansion of k in k 2.556 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.556 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.556 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.556 * [taylor]: Taking taylor expansion of 1/3 in k 2.556 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.556 * [taylor]: Taking taylor expansion of k in k 2.557 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.557 * [taylor]: Taking taylor expansion of -1 in k 2.558 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.558 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.558 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.558 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.558 * [taylor]: Taking taylor expansion of 1/3 in k 2.558 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.558 * [taylor]: Taking taylor expansion of k in k 2.559 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.559 * [taylor]: Taking taylor expansion of -1 in k 2.629 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1) 2.629 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 2.629 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.629 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.629 * [taylor]: Taking taylor expansion of 1/3 in k 2.629 * [taylor]: Taking taylor expansion of (log k) in k 2.629 * [taylor]: Taking taylor expansion of k in k 2.630 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 2.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 2.630 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 2.630 * [taylor]: Taking taylor expansion of 1/3 in k 2.630 * [taylor]: Taking taylor expansion of (log k) in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.679 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 2.679 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.679 * [taylor]: Taking taylor expansion of 1/3 in k 2.679 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.679 * [taylor]: Taking taylor expansion of k in k 2.680 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.680 * [taylor]: Taking taylor expansion of 1/3 in k 2.680 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.680 * [taylor]: Taking taylor expansion of k in k 2.741 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 2.741 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.741 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.741 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.741 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.741 * [taylor]: Taking taylor expansion of 1/3 in k 2.741 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.741 * [taylor]: Taking taylor expansion of k in k 2.742 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.742 * [taylor]: Taking taylor expansion of -1 in k 2.743 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 2.743 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 2.743 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 2.743 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 2.743 * [taylor]: Taking taylor expansion of 1/3 in k 2.743 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.743 * [taylor]: Taking taylor expansion of k in k 2.744 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.744 * [taylor]: Taking taylor expansion of -1 in k 2.814 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.814 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 2.815 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 2.815 * [taylor]: Taking taylor expansion of 1.0 in k 2.815 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.815 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 2.815 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.815 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.815 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.815 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.815 * [taylor]: Taking taylor expansion of 1/6 in k 2.815 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.815 * [taylor]: Taking taylor expansion of k in k 2.816 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 2.816 * [taylor]: Taking taylor expansion of 1.0 in k 2.816 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 2.816 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 2.816 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 2.816 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 2.816 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 2.816 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 2.816 * [taylor]: Taking taylor expansion of 1/6 in k 2.816 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.816 * [taylor]: Taking taylor expansion of k in k 2.891 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in (k) around 0 2.891 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 2.891 * [taylor]: Taking taylor expansion of 1.0 in k 2.891 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 2.891 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.891 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.891 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.891 * [taylor]: Taking taylor expansion of 1/6 in k 2.891 * [taylor]: Taking taylor expansion of (log k) in k 2.891 * [taylor]: Taking taylor expansion of k in k 2.892 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 2.892 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.892 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 2.892 * [taylor]: Taking taylor expansion of 1.0 in k 2.892 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 2.892 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.892 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.892 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.892 * [taylor]: Taking taylor expansion of 1/6 in k 2.892 * [taylor]: Taking taylor expansion of (log k) in k 2.892 * [taylor]: Taking taylor expansion of k in k 2.893 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 2.893 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 2.964 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 2.964 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 2.964 * [taylor]: Taking taylor expansion of 1.0 in k 2.964 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.964 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.964 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.965 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.965 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.965 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.965 * [taylor]: Taking taylor expansion of -1 in k 2.969 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.969 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.969 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.969 * [taylor]: Taking taylor expansion of 1/6 in k 2.969 * [taylor]: Taking taylor expansion of (log k) in k 2.969 * [taylor]: Taking taylor expansion of k in k 2.970 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 2.970 * [taylor]: Taking taylor expansion of 1.0 in k 2.970 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 2.970 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 2.970 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 2.971 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 2.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 2.971 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 2.971 * [taylor]: Taking taylor expansion of (cbrt -1) in k 2.971 * [taylor]: Taking taylor expansion of -1 in k 2.975 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 2.975 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 2.975 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 2.975 * [taylor]: Taking taylor expansion of 1/6 in k 2.975 * [taylor]: Taking taylor expansion of (log k) in k 2.975 * [taylor]: Taking taylor expansion of k in k 3.099 * * * [progress]: simplifying candidates 3.103 * [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 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (- (log 1.0) (log (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (/ (* (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) 1) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) 1) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 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k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (sqrt 1)) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 1) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) 1) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (pow (/ 1 k) 1/6) (/ 1 (fabs (pow k 1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 3.114 * * [simplify]: iteration 0 : 929 enodes (cost 2689 ) 3.130 * * [simplify]: iteration 1 : 3525 enodes (cost 2585 ) 3.176 * * [simplify]: iteration 2 : 5001 enodes (cost 2527 ) 3.193 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* 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2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (pow (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) 3) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs 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k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (/ (/ 1.0 (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) (sqrt (fabs (cbrt k))))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ 1 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (fabs (cbrt k)))) (/ (/ 1.0 (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* (* 1.0 (pow (/ -1 k) 1/6)) (sqrt (/ 1 (cbrt -1)))) (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))) 3.195 * * * [progress]: adding candidates to table 4.154 * * [progress]: iteration 4 / 4 4.155 * * * [progress]: picking best candidate 4.178 * * * * [pick]: Picked # 4.178 * * * [progress]: localizing error 4.199 * * * [progress]: generating rewritten candidates 4.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 4.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 4.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.235 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1) 4.248 * * * [progress]: generating series expansions 4.248 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 4.249 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.249 * [taylor]: Taking taylor expansion of 0.5 in k 4.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.249 * [taylor]: Taking taylor expansion of 1.0 in k 4.249 * [taylor]: Taking taylor expansion of k in k 4.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.249 * [taylor]: Taking taylor expansion of 2.0 in k 4.249 * [taylor]: Taking taylor expansion of (* n PI) in k 4.249 * [taylor]: Taking taylor expansion of n in k 4.249 * [taylor]: Taking taylor expansion of PI in k 4.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.250 * [taylor]: Taking taylor expansion of 0.5 in n 4.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.250 * [taylor]: Taking taylor expansion of 1.0 in n 4.250 * [taylor]: Taking taylor expansion of k in n 4.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.250 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.250 * [taylor]: Taking taylor expansion of 2.0 in n 4.250 * [taylor]: Taking taylor expansion of (* n PI) in n 4.250 * [taylor]: Taking taylor expansion of n in n 4.250 * [taylor]: Taking taylor expansion of PI in n 4.256 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.256 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.256 * [taylor]: Taking taylor expansion of 0.5 in n 4.256 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.256 * [taylor]: Taking taylor expansion of 1.0 in n 4.256 * [taylor]: Taking taylor expansion of k in n 4.256 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.256 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.256 * [taylor]: Taking taylor expansion of 2.0 in n 4.256 * [taylor]: Taking taylor expansion of (* n PI) in n 4.256 * [taylor]: Taking taylor expansion of n in n 4.256 * [taylor]: Taking taylor expansion of PI in n 4.262 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.262 * [taylor]: Taking taylor expansion of 0.5 in k 4.262 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.262 * [taylor]: Taking taylor expansion of 1.0 in k 4.262 * [taylor]: Taking taylor expansion of k in k 4.262 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.262 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.262 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.262 * [taylor]: Taking taylor expansion of 2.0 in k 4.263 * [taylor]: Taking taylor expansion of PI in k 4.263 * [taylor]: Taking taylor expansion of (log n) in k 4.264 * [taylor]: Taking taylor expansion of n in k 4.279 * [taylor]: Taking taylor expansion of 0 in k 4.296 * [taylor]: Taking taylor expansion of 0 in k 4.316 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.316 * [taylor]: Taking taylor expansion of 0.5 in k 4.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.316 * [taylor]: Taking taylor expansion of 1.0 in k 4.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.316 * [taylor]: Taking taylor expansion of k in k 4.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.316 * [taylor]: Taking taylor expansion of 2.0 in k 4.316 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.316 * [taylor]: Taking taylor expansion of PI in k 4.316 * [taylor]: Taking taylor expansion of n in k 4.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.318 * [taylor]: Taking taylor expansion of 0.5 in n 4.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.318 * [taylor]: Taking taylor expansion of 1.0 in n 4.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.318 * [taylor]: Taking taylor expansion of k in n 4.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.318 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.318 * [taylor]: Taking taylor expansion of 2.0 in n 4.318 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.318 * [taylor]: Taking taylor expansion of PI in n 4.318 * [taylor]: Taking taylor expansion of n in n 4.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.322 * [taylor]: Taking taylor expansion of 0.5 in n 4.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.322 * [taylor]: Taking taylor expansion of 1.0 in n 4.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.322 * [taylor]: Taking taylor expansion of k in n 4.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.322 * [taylor]: Taking taylor expansion of 2.0 in n 4.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.322 * [taylor]: Taking taylor expansion of PI in n 4.322 * [taylor]: Taking taylor expansion of n in n 4.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.326 * [taylor]: Taking taylor expansion of 0.5 in k 4.326 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.326 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.326 * [taylor]: Taking taylor expansion of 2.0 in k 4.326 * [taylor]: Taking taylor expansion of PI in k 4.327 * [taylor]: Taking taylor expansion of (log n) in k 4.327 * [taylor]: Taking taylor expansion of n in k 4.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.327 * [taylor]: Taking taylor expansion of 1.0 in k 4.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.327 * [taylor]: Taking taylor expansion of k in k 4.337 * [taylor]: Taking taylor expansion of 0 in k 4.344 * [taylor]: Taking taylor expansion of 0 in k 4.354 * [taylor]: Taking taylor expansion of 0 in k 4.355 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.355 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.355 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.355 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.355 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.355 * [taylor]: Taking taylor expansion of 0.5 in k 4.355 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.355 * [taylor]: Taking taylor expansion of k in k 4.355 * [taylor]: Taking taylor expansion of 1.0 in k 4.356 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.356 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.356 * [taylor]: Taking taylor expansion of -2.0 in k 4.356 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.356 * [taylor]: Taking taylor expansion of PI in k 4.356 * [taylor]: Taking taylor expansion of n in k 4.356 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.356 * [taylor]: Taking taylor expansion of 0.5 in n 4.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.357 * [taylor]: Taking taylor expansion of k in n 4.357 * [taylor]: Taking taylor expansion of 1.0 in n 4.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.357 * [taylor]: Taking taylor expansion of -2.0 in n 4.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.357 * [taylor]: Taking taylor expansion of PI in n 4.357 * [taylor]: Taking taylor expansion of n in n 4.366 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.367 * [taylor]: Taking taylor expansion of 0.5 in n 4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.367 * [taylor]: Taking taylor expansion of k in n 4.367 * [taylor]: Taking taylor expansion of 1.0 in n 4.367 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.367 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.367 * [taylor]: Taking taylor expansion of -2.0 in n 4.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.367 * [taylor]: Taking taylor expansion of PI in n 4.367 * [taylor]: Taking taylor expansion of n in n 4.371 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.371 * [taylor]: Taking taylor expansion of 0.5 in k 4.371 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.371 * [taylor]: Taking taylor expansion of k in k 4.371 * [taylor]: Taking taylor expansion of 1.0 in k 4.371 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.371 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.371 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.371 * [taylor]: Taking taylor expansion of -2.0 in k 4.371 * [taylor]: Taking taylor expansion of PI in k 4.372 * [taylor]: Taking taylor expansion of (log n) in k 4.372 * [taylor]: Taking taylor expansion of n in k 4.382 * [taylor]: Taking taylor expansion of 0 in k 4.389 * [taylor]: Taking taylor expansion of 0 in k 4.398 * [taylor]: Taking taylor expansion of 0 in k 4.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 4.400 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.400 * [taylor]: Taking taylor expansion of 0.5 in k 4.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.400 * [taylor]: Taking taylor expansion of 1.0 in k 4.400 * [taylor]: Taking taylor expansion of k in k 4.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.400 * [taylor]: Taking taylor expansion of 2.0 in k 4.400 * [taylor]: Taking taylor expansion of (* n PI) in k 4.400 * [taylor]: Taking taylor expansion of n in k 4.400 * [taylor]: Taking taylor expansion of PI in k 4.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.401 * [taylor]: Taking taylor expansion of 0.5 in n 4.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.401 * [taylor]: Taking taylor expansion of 1.0 in n 4.401 * [taylor]: Taking taylor expansion of k in n 4.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.401 * [taylor]: Taking taylor expansion of 2.0 in n 4.401 * [taylor]: Taking taylor expansion of (* n PI) in n 4.401 * [taylor]: Taking taylor expansion of n in n 4.401 * [taylor]: Taking taylor expansion of PI in n 4.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.407 * [taylor]: Taking taylor expansion of 0.5 in n 4.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.407 * [taylor]: Taking taylor expansion of 1.0 in n 4.407 * [taylor]: Taking taylor expansion of k in n 4.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.407 * [taylor]: Taking taylor expansion of 2.0 in n 4.407 * [taylor]: Taking taylor expansion of (* n PI) in n 4.407 * [taylor]: Taking taylor expansion of n in n 4.407 * [taylor]: Taking taylor expansion of PI in n 4.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.413 * [taylor]: Taking taylor expansion of 0.5 in k 4.413 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.413 * [taylor]: Taking taylor expansion of 1.0 in k 4.413 * [taylor]: Taking taylor expansion of k in k 4.413 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.413 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.413 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.413 * [taylor]: Taking taylor expansion of 2.0 in k 4.413 * [taylor]: Taking taylor expansion of PI in k 4.414 * [taylor]: Taking taylor expansion of (log n) in k 4.414 * [taylor]: Taking taylor expansion of n in k 4.424 * [taylor]: Taking taylor expansion of 0 in k 4.440 * [taylor]: Taking taylor expansion of 0 in k 4.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.465 * [taylor]: Taking taylor expansion of 0.5 in k 4.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.466 * [taylor]: Taking taylor expansion of 1.0 in k 4.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.466 * [taylor]: Taking taylor expansion of k in k 4.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.466 * [taylor]: Taking taylor expansion of 2.0 in k 4.466 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.466 * [taylor]: Taking taylor expansion of PI in k 4.466 * [taylor]: Taking taylor expansion of n in k 4.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.467 * [taylor]: Taking taylor expansion of 0.5 in n 4.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.467 * [taylor]: Taking taylor expansion of 1.0 in n 4.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.467 * [taylor]: Taking taylor expansion of k in n 4.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.467 * [taylor]: Taking taylor expansion of 2.0 in n 4.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.467 * [taylor]: Taking taylor expansion of PI in n 4.467 * [taylor]: Taking taylor expansion of n in n 4.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.471 * [taylor]: Taking taylor expansion of 0.5 in n 4.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.471 * [taylor]: Taking taylor expansion of 1.0 in n 4.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.471 * [taylor]: Taking taylor expansion of k in n 4.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.471 * [taylor]: Taking taylor expansion of 2.0 in n 4.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.472 * [taylor]: Taking taylor expansion of n in n 4.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.475 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.475 * [taylor]: Taking taylor expansion of 0.5 in k 4.475 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.475 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.475 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.476 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.476 * [taylor]: Taking taylor expansion of 2.0 in k 4.476 * [taylor]: Taking taylor expansion of PI in k 4.477 * [taylor]: Taking taylor expansion of (log n) in k 4.477 * [taylor]: Taking taylor expansion of n in k 4.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.477 * [taylor]: Taking taylor expansion of 1.0 in k 4.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.477 * [taylor]: Taking taylor expansion of k in k 4.487 * [taylor]: Taking taylor expansion of 0 in k 4.494 * [taylor]: Taking taylor expansion of 0 in k 4.503 * [taylor]: Taking taylor expansion of 0 in k 4.505 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.505 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.505 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.505 * [taylor]: Taking taylor expansion of 0.5 in k 4.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.505 * [taylor]: Taking taylor expansion of k in k 4.505 * [taylor]: Taking taylor expansion of 1.0 in k 4.505 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.505 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.505 * [taylor]: Taking taylor expansion of -2.0 in k 4.505 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.505 * [taylor]: Taking taylor expansion of PI in k 4.505 * [taylor]: Taking taylor expansion of n in k 4.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.506 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.506 * [taylor]: Taking taylor expansion of 0.5 in n 4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.506 * [taylor]: Taking taylor expansion of k in n 4.506 * [taylor]: Taking taylor expansion of 1.0 in n 4.506 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.506 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.506 * [taylor]: Taking taylor expansion of -2.0 in n 4.506 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.506 * [taylor]: Taking taylor expansion of PI in n 4.506 * [taylor]: Taking taylor expansion of n in n 4.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.510 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.510 * [taylor]: Taking taylor expansion of 0.5 in n 4.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.510 * [taylor]: Taking taylor expansion of k in n 4.510 * [taylor]: Taking taylor expansion of 1.0 in n 4.510 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.510 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.510 * [taylor]: Taking taylor expansion of -2.0 in n 4.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.510 * [taylor]: Taking taylor expansion of PI in n 4.510 * [taylor]: Taking taylor expansion of n in n 4.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.514 * [taylor]: Taking taylor expansion of 0.5 in k 4.514 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.515 * [taylor]: Taking taylor expansion of k in k 4.515 * [taylor]: Taking taylor expansion of 1.0 in k 4.515 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.515 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.515 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.515 * [taylor]: Taking taylor expansion of -2.0 in k 4.515 * [taylor]: Taking taylor expansion of PI in k 4.516 * [taylor]: Taking taylor expansion of (log n) in k 4.516 * [taylor]: Taking taylor expansion of n in k 4.525 * [taylor]: Taking taylor expansion of 0 in k 4.533 * [taylor]: Taking taylor expansion of 0 in k 4.731 * [taylor]: Taking taylor expansion of 0 in k 4.732 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.733 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.733 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.733 * [taylor]: Taking taylor expansion of 0.5 in k 4.733 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.733 * [taylor]: Taking taylor expansion of 1.0 in k 4.733 * [taylor]: Taking taylor expansion of k in k 4.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.733 * [taylor]: Taking taylor expansion of 2.0 in k 4.733 * [taylor]: Taking taylor expansion of (* n PI) in k 4.733 * [taylor]: Taking taylor expansion of n in k 4.733 * [taylor]: Taking taylor expansion of PI in k 4.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.734 * [taylor]: Taking taylor expansion of 0.5 in n 4.734 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.734 * [taylor]: Taking taylor expansion of 1.0 in n 4.734 * [taylor]: Taking taylor expansion of k in n 4.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.734 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.734 * [taylor]: Taking taylor expansion of 2.0 in n 4.734 * [taylor]: Taking taylor expansion of (* n PI) in n 4.734 * [taylor]: Taking taylor expansion of n in n 4.734 * [taylor]: Taking taylor expansion of PI in n 4.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.740 * [taylor]: Taking taylor expansion of 0.5 in n 4.740 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.740 * [taylor]: Taking taylor expansion of 1.0 in n 4.740 * [taylor]: Taking taylor expansion of k in n 4.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.740 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.740 * [taylor]: Taking taylor expansion of 2.0 in n 4.740 * [taylor]: Taking taylor expansion of (* n PI) in n 4.740 * [taylor]: Taking taylor expansion of n in n 4.740 * [taylor]: Taking taylor expansion of PI in n 4.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.746 * [taylor]: Taking taylor expansion of 0.5 in k 4.746 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.746 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.746 * [taylor]: Taking taylor expansion of 1.0 in k 4.746 * [taylor]: Taking taylor expansion of k in k 4.746 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.746 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.746 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.746 * [taylor]: Taking taylor expansion of 2.0 in k 4.746 * [taylor]: Taking taylor expansion of PI in k 4.747 * [taylor]: Taking taylor expansion of (log n) in k 4.747 * [taylor]: Taking taylor expansion of n in k 4.757 * [taylor]: Taking taylor expansion of 0 in k 4.774 * [taylor]: Taking taylor expansion of 0 in k 4.794 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.794 * [taylor]: Taking taylor expansion of 0.5 in k 4.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.795 * [taylor]: Taking taylor expansion of 1.0 in k 4.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.795 * [taylor]: Taking taylor expansion of k in k 4.795 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.795 * [taylor]: Taking taylor expansion of 2.0 in k 4.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.795 * [taylor]: Taking taylor expansion of PI in k 4.795 * [taylor]: Taking taylor expansion of n in k 4.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.796 * [taylor]: Taking taylor expansion of 0.5 in n 4.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.796 * [taylor]: Taking taylor expansion of 1.0 in n 4.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.796 * [taylor]: Taking taylor expansion of k in n 4.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.796 * [taylor]: Taking taylor expansion of 2.0 in n 4.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.796 * [taylor]: Taking taylor expansion of PI in n 4.796 * [taylor]: Taking taylor expansion of n in n 4.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.800 * [taylor]: Taking taylor expansion of 0.5 in n 4.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.800 * [taylor]: Taking taylor expansion of k in n 4.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.800 * [taylor]: Taking taylor expansion of 2.0 in n 4.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.800 * [taylor]: Taking taylor expansion of PI in n 4.800 * [taylor]: Taking taylor expansion of n in n 4.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.804 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.804 * [taylor]: Taking taylor expansion of 0.5 in k 4.804 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.804 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.805 * [taylor]: Taking taylor expansion of 2.0 in k 4.805 * [taylor]: Taking taylor expansion of PI in k 4.806 * [taylor]: Taking taylor expansion of (log n) in k 4.806 * [taylor]: Taking taylor expansion of n in k 4.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.806 * [taylor]: Taking taylor expansion of k in k 4.816 * [taylor]: Taking taylor expansion of 0 in k 4.828 * [taylor]: Taking taylor expansion of 0 in k 4.837 * [taylor]: Taking taylor expansion of 0 in k 4.839 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.839 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.839 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.839 * [taylor]: Taking taylor expansion of 0.5 in k 4.839 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.839 * [taylor]: Taking taylor expansion of k in k 4.840 * [taylor]: Taking taylor expansion of 1.0 in k 4.840 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.840 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.840 * [taylor]: Taking taylor expansion of -2.0 in k 4.840 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.840 * [taylor]: Taking taylor expansion of PI in k 4.840 * [taylor]: Taking taylor expansion of n in k 4.841 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.841 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.841 * [taylor]: Taking taylor expansion of 0.5 in n 4.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.841 * [taylor]: Taking taylor expansion of k in n 4.841 * [taylor]: Taking taylor expansion of 1.0 in n 4.841 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.841 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.841 * [taylor]: Taking taylor expansion of -2.0 in n 4.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.841 * [taylor]: Taking taylor expansion of PI in n 4.841 * [taylor]: Taking taylor expansion of n in n 4.845 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.845 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.845 * [taylor]: Taking taylor expansion of 0.5 in n 4.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.845 * [taylor]: Taking taylor expansion of k in n 4.845 * [taylor]: Taking taylor expansion of 1.0 in n 4.845 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.845 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.845 * [taylor]: Taking taylor expansion of -2.0 in n 4.845 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.845 * [taylor]: Taking taylor expansion of PI in n 4.845 * [taylor]: Taking taylor expansion of n in n 4.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.849 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.849 * [taylor]: Taking taylor expansion of 0.5 in k 4.849 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.849 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.849 * [taylor]: Taking taylor expansion of k in k 4.849 * [taylor]: Taking taylor expansion of 1.0 in k 4.849 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.849 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.849 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.849 * [taylor]: Taking taylor expansion of -2.0 in k 4.849 * [taylor]: Taking taylor expansion of PI in k 4.850 * [taylor]: Taking taylor expansion of (log n) in k 4.850 * [taylor]: Taking taylor expansion of n in k 4.860 * [taylor]: Taking taylor expansion of 0 in k 4.867 * [taylor]: Taking taylor expansion of 0 in k 4.876 * [taylor]: Taking taylor expansion of 0 in k 4.877 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1) 4.878 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.878 * [taylor]: Taking taylor expansion of 2.0 in n 4.878 * [taylor]: Taking taylor expansion of (* n PI) in n 4.878 * [taylor]: Taking taylor expansion of n in n 4.878 * [taylor]: Taking taylor expansion of PI in n 4.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.878 * [taylor]: Taking taylor expansion of 2.0 in n 4.878 * [taylor]: Taking taylor expansion of (* n PI) in n 4.878 * [taylor]: Taking taylor expansion of n in n 4.878 * [taylor]: Taking taylor expansion of PI in n 4.891 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.891 * [taylor]: Taking taylor expansion of 2.0 in n 4.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.891 * [taylor]: Taking taylor expansion of PI in n 4.891 * [taylor]: Taking taylor expansion of n in n 4.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.892 * [taylor]: Taking taylor expansion of 2.0 in n 4.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.892 * [taylor]: Taking taylor expansion of PI in n 4.892 * [taylor]: Taking taylor expansion of n in n 4.901 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.901 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.901 * [taylor]: Taking taylor expansion of -2.0 in n 4.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.901 * [taylor]: Taking taylor expansion of PI in n 4.901 * [taylor]: Taking taylor expansion of n in n 4.902 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.902 * [taylor]: Taking taylor expansion of -2.0 in n 4.902 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.902 * [taylor]: Taking taylor expansion of PI in n 4.902 * [taylor]: Taking taylor expansion of n in n 4.914 * * * [progress]: simplifying candidates 4.917 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log1p (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (+ 1/2 1/2) (+ 1 1) (+ (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2)) (* (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)))) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ 1 1) (+ (log (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (* (sqrt (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))) (sqrt (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))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (sqrt (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))) (sqrt (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))))) (* (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)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (sqrt (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 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 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)))) (* (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (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) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* 1 1) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* 2 1/2) (* 2 1) (* 2 (/ (/ (- 1.0 k) 2.0) 2)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (sqrt (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) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (pow (* (* 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2.0 PI) n) (/ (- 1.0 k) 2.0)))) 3) (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 2.0)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 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))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.993 * * * [progress]: adding candidates to table 5.519 * [progress]: [Phase 3 of 3] Extracting. 5.519 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.522 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.522 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.556 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 5.592 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 5.628 * * * [regime]: Found split indices: #