13.448 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.084 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.085 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.087 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.089 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.095 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.118 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.118 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.118 * * [progress]: iteration 1 / 4 0.118 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.121 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.148 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.154 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.157 * * * * [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 0.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.193 * [taylor]: Taking taylor expansion of 0.5 in k 0.193 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.193 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.193 * [taylor]: Taking taylor expansion of 1.0 in k 0.193 * [taylor]: Taking taylor expansion of k in k 0.193 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.193 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.193 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.193 * [taylor]: Taking taylor expansion of 2.0 in k 0.193 * [taylor]: Taking taylor expansion of PI in k 0.194 * [taylor]: Taking taylor expansion of (log n) in k 0.194 * [taylor]: Taking taylor expansion of n in k 0.204 * [taylor]: Taking taylor expansion of 0 in k 0.225 * [taylor]: Taking taylor expansion of 0 in k 0.244 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.244 * [taylor]: Taking taylor expansion of 0.5 in k 0.245 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.245 * [taylor]: Taking taylor expansion of k in k 0.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.245 * [taylor]: Taking taylor expansion of 2.0 in k 0.245 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.245 * [taylor]: Taking taylor expansion of PI in k 0.245 * [taylor]: Taking taylor expansion of n in k 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.246 * [taylor]: Taking taylor expansion of 0.5 in n 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.246 * [taylor]: Taking taylor expansion of k in n 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.246 * [taylor]: Taking taylor expansion of PI in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.250 * [taylor]: Taking taylor expansion of 0.5 in n 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.250 * [taylor]: Taking taylor expansion of 1.0 in n 0.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.250 * [taylor]: Taking taylor expansion of k in n 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.250 * [taylor]: Taking taylor expansion of 2.0 in n 0.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.250 * [taylor]: Taking taylor expansion of PI in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.254 * [taylor]: Taking taylor expansion of 0.5 in k 0.254 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.255 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (log n) in k 0.256 * [taylor]: Taking taylor expansion of n in k 0.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.265 * [taylor]: Taking taylor expansion of 0 in k 0.272 * [taylor]: Taking taylor expansion of 0 in k 0.281 * [taylor]: Taking taylor expansion of 0 in k 0.283 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.283 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.283 * [taylor]: Taking taylor expansion of 0.5 in k 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.283 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.283 * [taylor]: Taking taylor expansion of -2.0 in k 0.283 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.283 * [taylor]: Taking taylor expansion of PI in k 0.283 * [taylor]: Taking taylor expansion of n in k 0.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.284 * [taylor]: Taking taylor expansion of 0.5 in n 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.284 * [taylor]: Taking taylor expansion of k in n 0.284 * [taylor]: Taking taylor expansion of 1.0 in n 0.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.284 * [taylor]: Taking taylor expansion of -2.0 in n 0.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.284 * [taylor]: Taking taylor expansion of PI in n 0.284 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.288 * [taylor]: Taking taylor expansion of k in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of -2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.292 * [taylor]: Taking taylor expansion of 0.5 in k 0.292 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.293 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.293 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.293 * [taylor]: Taking taylor expansion of -2.0 in k 0.293 * [taylor]: Taking taylor expansion of PI in k 0.294 * [taylor]: Taking taylor expansion of (log n) in k 0.294 * [taylor]: Taking taylor expansion of n in k 0.308 * [taylor]: Taking taylor expansion of 0 in k 0.315 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [taylor]: Taking taylor expansion of 0 in k 0.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.325 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.338 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.338 * [taylor]: Taking taylor expansion of 2.0 in n 0.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.338 * [taylor]: Taking taylor expansion of PI in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.339 * [taylor]: Taking taylor expansion of 2.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.339 * [taylor]: Taking taylor expansion of PI in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.347 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.347 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.347 * [taylor]: Taking taylor expansion of -2.0 in n 0.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of -2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.356 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.356 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.356 * [taylor]: Taking taylor expansion of 1.0 in k 0.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.357 * [taylor]: Taking taylor expansion of k in k 0.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.358 * [taylor]: Taking taylor expansion of 1.0 in k 0.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.358 * [taylor]: Taking taylor expansion of k in k 0.369 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.369 * [taylor]: Taking taylor expansion of 1.0 in k 0.369 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.369 * [taylor]: Taking taylor expansion of k in k 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.370 * [taylor]: Taking taylor expansion of 1.0 in k 0.370 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.370 * [taylor]: Taking taylor expansion of k in k 0.387 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.387 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.387 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.387 * [taylor]: Taking taylor expansion of -1 in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.388 * [taylor]: Taking taylor expansion of -1 in k 0.388 * [taylor]: Taking taylor expansion of k in k 0.400 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.401 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.401 * [taylor]: Taking taylor expansion of k in n 0.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.401 * [taylor]: Taking taylor expansion of 0.5 in n 0.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.401 * [taylor]: Taking taylor expansion of 1.0 in n 0.401 * [taylor]: Taking taylor expansion of k in n 0.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.406 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.406 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.408 * [taylor]: Taking taylor expansion of 0.5 in k 0.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.408 * [taylor]: Taking taylor expansion of 2.0 in k 0.408 * [taylor]: Taking taylor expansion of (* n PI) in k 0.408 * [taylor]: Taking taylor expansion of n in k 0.408 * [taylor]: Taking taylor expansion of PI in k 0.409 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.410 * [taylor]: Taking taylor expansion of 0.5 in k 0.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.410 * [taylor]: Taking taylor expansion of 1.0 in k 0.410 * [taylor]: Taking taylor expansion of k in k 0.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.410 * [taylor]: Taking taylor expansion of 2.0 in k 0.410 * [taylor]: Taking taylor expansion of (* n PI) in k 0.410 * [taylor]: Taking taylor expansion of n in k 0.410 * [taylor]: Taking taylor expansion of PI in k 0.412 * [taylor]: Taking taylor expansion of 0 in n 0.417 * [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 0.417 * [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 0.417 * [taylor]: Taking taylor expansion of +nan.0 in n 0.417 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.417 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.417 * [taylor]: Taking taylor expansion of 0.5 in n 0.417 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.417 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.417 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.417 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.417 * [taylor]: Taking taylor expansion of 1.0 in n 0.417 * [taylor]: Taking taylor expansion of (log PI) in n 0.417 * [taylor]: Taking taylor expansion of PI in n 0.419 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.419 * [taylor]: Taking taylor expansion of 1.0 in n 0.419 * [taylor]: Taking taylor expansion of (log n) in n 0.419 * [taylor]: Taking taylor expansion of n in n 0.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.420 * [taylor]: Taking taylor expansion of 1.0 in n 0.420 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.420 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [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 0.439 * [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 0.439 * [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 0.439 * [taylor]: Taking taylor expansion of +nan.0 in n 0.439 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.439 * [taylor]: Taking taylor expansion of 0.5 in n 0.439 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.439 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.439 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.439 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of (log PI) in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.441 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.441 * [taylor]: Taking taylor expansion of 1.0 in n 0.442 * [taylor]: Taking taylor expansion of (log n) in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.442 * [taylor]: Taking taylor expansion of 1.0 in n 0.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.442 * [taylor]: Taking taylor expansion of 2.0 in n 0.448 * [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 0.448 * [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 0.448 * [taylor]: Taking taylor expansion of +nan.0 in n 0.448 * [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 0.448 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.448 * [taylor]: Taking taylor expansion of 0.5 in n 0.448 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.448 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log PI) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log n) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.456 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.456 * [taylor]: Taking taylor expansion of 2.0 in n 0.456 * [taylor]: Taking taylor expansion of (* n PI) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.456 * [taylor]: Taking taylor expansion of PI in n 0.512 * [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 0.512 * [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 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of +nan.0 in n 0.512 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.512 * [taylor]: Taking taylor expansion of 0.5 in n 0.512 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.512 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.514 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log n) in n 0.514 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.520 * [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 0.520 * [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 0.520 * [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 0.520 * [taylor]: Taking taylor expansion of +nan.0 in n 0.520 * [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 0.520 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.520 * [taylor]: Taking taylor expansion of 0.5 in n 0.520 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.522 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (log PI) in n 0.522 * [taylor]: Taking taylor expansion of PI in n 0.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log n) in n 0.524 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.528 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.528 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [taylor]: Taking taylor expansion of (* n PI) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.531 * [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 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of +nan.0 in n 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.533 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log PI) in n 0.534 * [taylor]: Taking taylor expansion of PI in n 0.535 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.535 * [taylor]: Taking taylor expansion of 1.0 in n 0.535 * [taylor]: Taking taylor expansion of (log n) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [taylor]: Taking taylor expansion of (* n PI) in n 0.540 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of PI in n 0.619 * [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 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.619 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.623 * [taylor]: Taking taylor expansion of 1.0 in k 0.623 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.623 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.623 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.625 * [taylor]: Taking taylor expansion of 0.5 in k 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of 1.0 in k 0.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.625 * [taylor]: Taking taylor expansion of 2.0 in k 0.625 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.625 * [taylor]: Taking taylor expansion of PI in k 0.625 * [taylor]: Taking taylor expansion of n in k 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.626 * [taylor]: Taking taylor expansion of 1.0 in k 0.626 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.626 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.626 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.627 * [taylor]: Taking taylor expansion of 0.5 in k 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.628 * [taylor]: Taking taylor expansion of 2.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.628 * [taylor]: Taking taylor expansion of PI in k 0.628 * [taylor]: Taking taylor expansion of n in k 0.629 * [taylor]: Taking taylor expansion of 0 in n 0.630 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.630 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.630 * [taylor]: Taking taylor expansion of +nan.0 in n 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.631 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.640 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.640 * [taylor]: Taking taylor expansion of +nan.0 in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of 2.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.641 * [taylor]: Taking taylor expansion of k in n 0.663 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.663 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.663 * [taylor]: Taking taylor expansion of +nan.0 in n 0.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.663 * [taylor]: Taking taylor expansion of 0.5 in n 0.663 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.663 * [taylor]: Taking taylor expansion of 2.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.663 * [taylor]: Taking taylor expansion of PI in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.664 * [taylor]: Taking taylor expansion of k in n 0.673 * [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 0.673 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.673 * [taylor]: Taking taylor expansion of 0.5 in n 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.674 * [taylor]: Taking taylor expansion of k in n 0.674 * [taylor]: Taking taylor expansion of 1.0 in n 0.674 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.674 * [taylor]: Taking taylor expansion of -2.0 in n 0.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.678 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.678 * [taylor]: Taking taylor expansion of -1 in n 0.678 * [taylor]: Taking taylor expansion of k in n 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.679 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.679 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.679 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.679 * [taylor]: Taking taylor expansion of 0.5 in k 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.679 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.679 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.679 * [taylor]: Taking taylor expansion of -2.0 in k 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.679 * [taylor]: Taking taylor expansion of PI in k 0.679 * [taylor]: Taking taylor expansion of n in k 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.680 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.680 * [taylor]: Taking taylor expansion of -1 in k 0.680 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.682 * [taylor]: Taking taylor expansion of 0.5 in k 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.682 * [taylor]: Taking taylor expansion of -2.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.682 * [taylor]: Taking taylor expansion of PI in k 0.682 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.683 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.683 * [taylor]: Taking taylor expansion of -1 in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.685 * [taylor]: Taking taylor expansion of +nan.0 in n 0.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.685 * [taylor]: Taking taylor expansion of 0.5 in n 0.685 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.685 * [taylor]: Taking taylor expansion of k in n 0.685 * [taylor]: Taking taylor expansion of 1.0 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 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.694 * [taylor]: Taking taylor expansion of 0.5 in n 0.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.694 * [taylor]: Taking taylor expansion of k in n 0.694 * [taylor]: Taking taylor expansion of 1.0 in n 0.694 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.694 * [taylor]: Taking taylor expansion of -2.0 in n 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of 1.0 in n 0.713 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of -2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.723 * * * [progress]: simplifying candidates 0.725 * [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))))))))) 0.829 * * * [progress]: adding candidates to table 1.272 * * [progress]: iteration 2 / 4 1.272 * * * [progress]: picking best candidate 1.304 * * * * [pick]: Picked # 1.304 * * * [progress]: localizing error 1.320 * * * [progress]: generating rewritten candidates 1.320 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.330 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.339 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.365 * * * [progress]: generating series expansions 1.366 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.366 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.366 * [taylor]: Taking taylor expansion of 0.5 in k 1.367 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.367 * [taylor]: Taking taylor expansion of 1.0 in k 1.367 * [taylor]: Taking taylor expansion of k in k 1.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.367 * [taylor]: Taking taylor expansion of 2.0 in k 1.367 * [taylor]: Taking taylor expansion of (* n PI) in k 1.367 * [taylor]: Taking taylor expansion of n in k 1.367 * [taylor]: Taking taylor expansion of PI in k 1.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.368 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.368 * [taylor]: Taking taylor expansion of 0.5 in n 1.368 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.368 * [taylor]: Taking taylor expansion of 1.0 in n 1.368 * [taylor]: Taking taylor expansion of k in n 1.368 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.368 * [taylor]: Taking taylor expansion of 2.0 in n 1.368 * [taylor]: Taking taylor expansion of (* n PI) in n 1.368 * [taylor]: Taking taylor expansion of n in n 1.368 * [taylor]: Taking taylor expansion of PI in n 1.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.374 * [taylor]: Taking taylor expansion of 0.5 in n 1.374 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.374 * [taylor]: Taking taylor expansion of 1.0 in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.374 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.374 * [taylor]: Taking taylor expansion of 2.0 in n 1.374 * [taylor]: Taking taylor expansion of (* n PI) in n 1.374 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of PI in n 1.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.379 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.379 * [taylor]: Taking taylor expansion of 0.5 in k 1.379 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.379 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.379 * [taylor]: Taking taylor expansion of 1.0 in k 1.379 * [taylor]: Taking taylor expansion of k in k 1.379 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.379 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.379 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.379 * [taylor]: Taking taylor expansion of 2.0 in k 1.379 * [taylor]: Taking taylor expansion of PI in k 1.380 * [taylor]: Taking taylor expansion of (log n) in k 1.380 * [taylor]: Taking taylor expansion of n in k 1.390 * [taylor]: Taking taylor expansion of 0 in k 1.406 * [taylor]: Taking taylor expansion of 0 in k 1.425 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.425 * [taylor]: Taking taylor expansion of 0.5 in k 1.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.425 * [taylor]: Taking taylor expansion of k in k 1.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.425 * [taylor]: Taking taylor expansion of 2.0 in k 1.425 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.425 * [taylor]: Taking taylor expansion of PI in k 1.425 * [taylor]: Taking taylor expansion of n in k 1.426 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.426 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.426 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.426 * [taylor]: Taking taylor expansion of 0.5 in n 1.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.426 * [taylor]: Taking taylor expansion of 1.0 in n 1.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.426 * [taylor]: Taking taylor expansion of k in n 1.426 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.426 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.426 * [taylor]: Taking taylor expansion of 2.0 in n 1.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.426 * [taylor]: Taking taylor expansion of PI in n 1.426 * [taylor]: Taking taylor expansion of n in n 1.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.430 * [taylor]: Taking taylor expansion of 0.5 in n 1.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.430 * [taylor]: Taking taylor expansion of 1.0 in n 1.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.430 * [taylor]: Taking taylor expansion of k in n 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.430 * [taylor]: Taking taylor expansion of 2.0 in n 1.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.430 * [taylor]: Taking taylor expansion of PI in n 1.430 * [taylor]: Taking taylor expansion of n in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.434 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.434 * [taylor]: Taking taylor expansion of 0.5 in k 1.434 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.434 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.434 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.434 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.434 * [taylor]: Taking taylor expansion of 2.0 in k 1.434 * [taylor]: Taking taylor expansion of PI in k 1.441 * [taylor]: Taking taylor expansion of (log n) in k 1.441 * [taylor]: Taking taylor expansion of n in k 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.442 * [taylor]: Taking taylor expansion of 1.0 in k 1.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.442 * [taylor]: Taking taylor expansion of k in k 1.451 * [taylor]: Taking taylor expansion of 0 in k 1.458 * [taylor]: Taking taylor expansion of 0 in k 1.467 * [taylor]: Taking taylor expansion of 0 in k 1.469 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.469 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.469 * [taylor]: Taking taylor expansion of 0.5 in k 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.469 * [taylor]: Taking taylor expansion of 1.0 in k 1.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.469 * [taylor]: Taking taylor expansion of -2.0 in k 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.469 * [taylor]: Taking taylor expansion of PI in k 1.469 * [taylor]: Taking taylor expansion of n in k 1.470 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.470 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.470 * [taylor]: Taking taylor expansion of 0.5 in n 1.471 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.471 * [taylor]: Taking taylor expansion of k in n 1.471 * [taylor]: Taking taylor expansion of 1.0 in n 1.471 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of -2.0 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.474 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.474 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.474 * [taylor]: Taking taylor expansion of 0.5 in n 1.474 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.474 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.474 * [taylor]: Taking taylor expansion of k in n 1.475 * [taylor]: Taking taylor expansion of 1.0 in n 1.475 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.475 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.475 * [taylor]: Taking taylor expansion of -2.0 in n 1.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.475 * [taylor]: Taking taylor expansion of PI in n 1.475 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.478 * [taylor]: Taking taylor expansion of 0.5 in k 1.478 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of 1.0 in k 1.479 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.479 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.479 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.479 * [taylor]: Taking taylor expansion of -2.0 in k 1.479 * [taylor]: Taking taylor expansion of PI in k 1.480 * [taylor]: Taking taylor expansion of (log n) in k 1.480 * [taylor]: Taking taylor expansion of n in k 1.489 * [taylor]: Taking taylor expansion of 0 in k 1.496 * [taylor]: Taking taylor expansion of 0 in k 1.504 * [taylor]: Taking taylor expansion of 0 in k 1.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.506 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.506 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.506 * [taylor]: Taking taylor expansion of 2.0 in n 1.506 * [taylor]: Taking taylor expansion of (* n PI) in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.506 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.506 * [taylor]: Taking taylor expansion of 2.0 in n 1.506 * [taylor]: Taking taylor expansion of (* n PI) in n 1.506 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of PI in n 1.518 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.534 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.534 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.534 * [taylor]: Taking taylor expansion of -2.0 in n 1.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.534 * [taylor]: Taking taylor expansion of PI in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.534 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.534 * [taylor]: Taking taylor expansion of -2.0 in n 1.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.534 * [taylor]: Taking taylor expansion of PI in n 1.534 * [taylor]: Taking taylor expansion of n in n 1.543 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.543 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.543 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.543 * [taylor]: Taking taylor expansion of k in k 1.544 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.544 * [taylor]: Taking taylor expansion of 1.0 in k 1.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.544 * [taylor]: Taking taylor expansion of k in k 1.555 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.555 * [taylor]: Taking taylor expansion of 1.0 in k 1.555 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.556 * [taylor]: Taking taylor expansion of k in k 1.557 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.557 * [taylor]: Taking taylor expansion of 1.0 in k 1.557 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.557 * [taylor]: Taking taylor expansion of k in k 1.567 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.567 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.567 * [taylor]: Taking taylor expansion of 1.0 in k 1.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.567 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.567 * [taylor]: Taking taylor expansion of -1 in k 1.567 * [taylor]: Taking taylor expansion of k in k 1.568 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.568 * [taylor]: Taking taylor expansion of 1.0 in k 1.568 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.568 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.568 * [taylor]: Taking taylor expansion of -1 in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.581 * [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 1.581 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.581 * [taylor]: Taking taylor expansion of 1.0 in n 1.581 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.582 * [taylor]: Taking taylor expansion of k in n 1.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.582 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.582 * [taylor]: Taking taylor expansion of 0.5 in n 1.582 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.582 * [taylor]: Taking taylor expansion of 1.0 in n 1.582 * [taylor]: Taking taylor expansion of k in n 1.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.582 * [taylor]: Taking taylor expansion of 2.0 in n 1.582 * [taylor]: Taking taylor expansion of (* n PI) in n 1.582 * [taylor]: Taking taylor expansion of n in n 1.582 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.587 * [taylor]: Taking taylor expansion of 1.0 in k 1.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.587 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.589 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.589 * [taylor]: Taking taylor expansion of 0.5 in k 1.589 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.589 * [taylor]: Taking taylor expansion of 1.0 in k 1.589 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.589 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.589 * [taylor]: Taking taylor expansion of 2.0 in k 1.589 * [taylor]: Taking taylor expansion of (* n PI) in k 1.589 * [taylor]: Taking taylor expansion of n in k 1.589 * [taylor]: Taking taylor expansion of PI in k 1.590 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.590 * [taylor]: Taking taylor expansion of 1.0 in k 1.590 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.590 * [taylor]: Taking taylor expansion of k in k 1.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.591 * [taylor]: Taking taylor expansion of 0.5 in k 1.591 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.591 * [taylor]: Taking taylor expansion of 1.0 in k 1.591 * [taylor]: Taking taylor expansion of k in k 1.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.591 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.591 * [taylor]: Taking taylor expansion of 2.0 in k 1.591 * [taylor]: Taking taylor expansion of (* n PI) in k 1.591 * [taylor]: Taking taylor expansion of n in k 1.591 * [taylor]: Taking taylor expansion of PI in k 1.593 * [taylor]: Taking taylor expansion of 0 in n 1.598 * [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 1.598 * [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 1.598 * [taylor]: Taking taylor expansion of +nan.0 in n 1.598 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.598 * [taylor]: Taking taylor expansion of 0.5 in n 1.598 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.598 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.598 * [taylor]: Taking taylor expansion of 1.0 in n 1.598 * [taylor]: Taking taylor expansion of (log PI) in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.600 * [taylor]: Taking taylor expansion of 1.0 in n 1.600 * [taylor]: Taking taylor expansion of (log n) in n 1.600 * [taylor]: Taking taylor expansion of n in n 1.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.601 * [taylor]: Taking taylor expansion of 2.0 in n 1.626 * [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 1.626 * [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 1.626 * [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 1.626 * [taylor]: Taking taylor expansion of +nan.0 in n 1.626 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.626 * [taylor]: Taking taylor expansion of 0.5 in n 1.627 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.627 * [taylor]: Taking taylor expansion of 1.0 in n 1.627 * [taylor]: Taking taylor expansion of (log PI) in n 1.627 * [taylor]: Taking taylor expansion of PI in n 1.628 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.629 * [taylor]: Taking taylor expansion of 1.0 in n 1.629 * [taylor]: Taking taylor expansion of (log n) in n 1.629 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.629 * [taylor]: Taking taylor expansion of 1.0 in n 1.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.629 * [taylor]: Taking taylor expansion of 2.0 in n 1.635 * [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 1.635 * [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 1.635 * [taylor]: Taking taylor expansion of +nan.0 in n 1.635 * [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 1.635 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.635 * [taylor]: Taking taylor expansion of 0.5 in n 1.635 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.635 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.635 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.635 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.635 * [taylor]: Taking taylor expansion of 1.0 in n 1.635 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.635 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.637 * [taylor]: Taking taylor expansion of 1.0 in n 1.637 * [taylor]: Taking taylor expansion of (log PI) in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (log n) in n 1.639 * [taylor]: Taking taylor expansion of n in n 1.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.643 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.643 * [taylor]: Taking taylor expansion of 2.0 in n 1.643 * [taylor]: Taking taylor expansion of (* n PI) in n 1.643 * [taylor]: Taking taylor expansion of n in n 1.643 * [taylor]: Taking taylor expansion of PI in n 1.693 * [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 1.693 * [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 1.693 * [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 1.693 * [taylor]: Taking taylor expansion of +nan.0 in n 1.693 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.693 * [taylor]: Taking taylor expansion of 0.5 in n 1.693 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.693 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.693 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.693 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.693 * [taylor]: Taking taylor expansion of 1.0 in n 1.693 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.693 * [taylor]: Taking taylor expansion of 2.0 in n 1.695 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.695 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.695 * [taylor]: Taking taylor expansion of 1.0 in n 1.695 * [taylor]: Taking taylor expansion of (log n) in n 1.695 * [taylor]: Taking taylor expansion of n in n 1.695 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.695 * [taylor]: Taking taylor expansion of 1.0 in n 1.695 * [taylor]: Taking taylor expansion of (log PI) in n 1.695 * [taylor]: Taking taylor expansion of PI in n 1.706 * [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 1.706 * [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 1.706 * [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 1.706 * [taylor]: Taking taylor expansion of +nan.0 in n 1.706 * [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 1.706 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.707 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.707 * [taylor]: Taking taylor expansion of 0.5 in n 1.707 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.707 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.707 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.707 * [taylor]: Taking taylor expansion of 1.0 in n 1.707 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.707 * [taylor]: Taking taylor expansion of 2.0 in n 1.708 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.709 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.709 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [taylor]: Taking taylor expansion of (log PI) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.711 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.711 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.711 * [taylor]: Taking taylor expansion of 1.0 in n 1.711 * [taylor]: Taking taylor expansion of (log n) in n 1.711 * [taylor]: Taking taylor expansion of n in n 1.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.715 * [taylor]: Taking taylor expansion of 2.0 in n 1.715 * [taylor]: Taking taylor expansion of (* n PI) in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.718 * [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 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of +nan.0 in n 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.718 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.718 * [taylor]: Taking taylor expansion of 0.5 in n 1.718 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.718 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.718 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.718 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.718 * [taylor]: Taking taylor expansion of 2.0 in n 1.720 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.720 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.720 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.720 * [taylor]: Taking taylor expansion of 1.0 in n 1.720 * [taylor]: Taking taylor expansion of (log PI) in n 1.720 * [taylor]: Taking taylor expansion of PI in n 1.722 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.722 * [taylor]: Taking taylor expansion of 1.0 in n 1.722 * [taylor]: Taking taylor expansion of (log n) in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.727 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.727 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.727 * [taylor]: Taking taylor expansion of 2.0 in n 1.727 * [taylor]: Taking taylor expansion of (* n PI) in n 1.727 * [taylor]: Taking taylor expansion of n in n 1.727 * [taylor]: Taking taylor expansion of PI in n 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.806 * [taylor]: Taking taylor expansion of 1.0 in n 1.806 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.806 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.806 * [taylor]: Taking taylor expansion of k in n 1.806 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.806 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.806 * [taylor]: Taking taylor expansion of 0.5 in n 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.806 * [taylor]: Taking taylor expansion of 1.0 in n 1.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.806 * [taylor]: Taking taylor expansion of k in n 1.806 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.806 * [taylor]: Taking taylor expansion of 2.0 in n 1.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.806 * [taylor]: Taking taylor expansion of PI in n 1.806 * [taylor]: Taking taylor expansion of n in n 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.810 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.810 * [taylor]: Taking taylor expansion of k in k 1.811 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.811 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.811 * [taylor]: Taking taylor expansion of 0.5 in k 1.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.811 * [taylor]: Taking taylor expansion of 1.0 in k 1.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.811 * [taylor]: Taking taylor expansion of k in k 1.811 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.811 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.811 * [taylor]: Taking taylor expansion of 2.0 in k 1.811 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.811 * [taylor]: Taking taylor expansion of PI in k 1.811 * [taylor]: Taking taylor expansion of n in k 1.812 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.812 * [taylor]: Taking taylor expansion of 1.0 in k 1.812 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.812 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.813 * [taylor]: Taking taylor expansion of k in k 1.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.814 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.814 * [taylor]: Taking taylor expansion of 0.5 in k 1.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.814 * [taylor]: Taking taylor expansion of k in k 1.814 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.814 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.814 * [taylor]: Taking taylor expansion of 2.0 in k 1.814 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.814 * [taylor]: Taking taylor expansion of PI in k 1.814 * [taylor]: Taking taylor expansion of n in k 1.816 * [taylor]: Taking taylor expansion of 0 in n 1.817 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.817 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.817 * [taylor]: Taking taylor expansion of +nan.0 in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.817 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.817 * [taylor]: Taking taylor expansion of 0.5 in n 1.817 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.817 * [taylor]: Taking taylor expansion of 2.0 in n 1.817 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.817 * [taylor]: Taking taylor expansion of PI in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.818 * [taylor]: Taking taylor expansion of 1.0 in n 1.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.818 * [taylor]: Taking taylor expansion of k in n 1.830 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.830 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.830 * [taylor]: Taking taylor expansion of +nan.0 in n 1.830 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.830 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.830 * [taylor]: Taking taylor expansion of 0.5 in n 1.830 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.830 * [taylor]: Taking taylor expansion of 2.0 in n 1.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.830 * [taylor]: Taking taylor expansion of PI in n 1.830 * [taylor]: Taking taylor expansion of n in n 1.832 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.832 * [taylor]: Taking taylor expansion of 1.0 in n 1.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.832 * [taylor]: Taking taylor expansion of k in n 1.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.848 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.848 * [taylor]: Taking taylor expansion of +nan.0 in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.848 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.848 * [taylor]: Taking taylor expansion of 0.5 in n 1.848 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.848 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.848 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.848 * [taylor]: Taking taylor expansion of 2.0 in n 1.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.848 * [taylor]: Taking taylor expansion of PI in n 1.848 * [taylor]: Taking taylor expansion of n in n 1.850 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.850 * [taylor]: Taking taylor expansion of 1.0 in n 1.850 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.850 * [taylor]: Taking taylor expansion of k in n 1.858 * [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 1.858 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.858 * [taylor]: Taking taylor expansion of 1.0 in n 1.858 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.858 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.858 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.858 * [taylor]: Taking taylor expansion of 0.5 in n 1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.858 * [taylor]: Taking taylor expansion of k in n 1.858 * [taylor]: Taking taylor expansion of 1.0 in n 1.859 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.859 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.859 * [taylor]: Taking taylor expansion of -2.0 in n 1.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.859 * [taylor]: Taking taylor expansion of PI in n 1.859 * [taylor]: Taking taylor expansion of n in n 1.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.862 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.862 * [taylor]: Taking taylor expansion of -1 in n 1.862 * [taylor]: Taking taylor expansion of k in n 1.863 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.863 * [taylor]: Taking taylor expansion of 1.0 in k 1.863 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.863 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.863 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.863 * [taylor]: Taking taylor expansion of 0.5 in k 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.863 * [taylor]: Taking taylor expansion of k in k 1.864 * [taylor]: Taking taylor expansion of 1.0 in k 1.864 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.864 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.864 * [taylor]: Taking taylor expansion of -2.0 in k 1.864 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.864 * [taylor]: Taking taylor expansion of PI in k 1.864 * [taylor]: Taking taylor expansion of n in k 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.865 * [taylor]: Taking taylor expansion of -1 in k 1.865 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.866 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.867 * [taylor]: Taking taylor expansion of -2.0 in k 1.867 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.867 * [taylor]: Taking taylor expansion of PI in k 1.867 * [taylor]: Taking taylor expansion of n in k 1.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.867 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.867 * [taylor]: Taking taylor expansion of -1 in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.869 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.869 * [taylor]: Taking taylor expansion of +nan.0 in n 1.869 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.869 * [taylor]: Taking taylor expansion of 0.5 in n 1.869 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.869 * [taylor]: Taking taylor expansion of k in n 1.869 * [taylor]: Taking taylor expansion of 1.0 in n 1.869 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.869 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.869 * [taylor]: Taking taylor expansion of -2.0 in n 1.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.869 * [taylor]: Taking taylor expansion of PI in n 1.869 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.878 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.878 * [taylor]: Taking taylor expansion of +nan.0 in n 1.878 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.878 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.878 * [taylor]: Taking taylor expansion of 0.5 in n 1.878 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.878 * [taylor]: Taking taylor expansion of k in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.904 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.904 * [taylor]: Taking taylor expansion of +nan.0 in n 1.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.904 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.904 * [taylor]: Taking taylor expansion of 0.5 in n 1.904 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.904 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.904 * [taylor]: Taking taylor expansion of k in n 1.904 * [taylor]: Taking taylor expansion of 1.0 in n 1.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.904 * [taylor]: Taking taylor expansion of -2.0 in n 1.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.904 * [taylor]: Taking taylor expansion of PI in n 1.904 * [taylor]: Taking taylor expansion of n in n 1.913 * * * [progress]: simplifying candidates 1.916 * [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))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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)))) (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) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 1.926 * * [simplify]: iteration 0 : 981 enodes (cost 1502 ) 1.942 * * [simplify]: iteration 1 : 4021 enodes (cost 1398 ) 2.005 * * [simplify]: iteration 2 : 5003 enodes (cost 1383 ) 2.012 * [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) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (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 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 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)) (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 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (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))))))))) 2.013 * * * [progress]: adding candidates to table 2.645 * * [progress]: iteration 3 / 4 2.645 * * * [progress]: picking best candidate 2.673 * * * * [pick]: Picked # 2.673 * * * [progress]: localizing error 2.689 * * * [progress]: generating rewritten candidates 2.689 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.730 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.739 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.764 * * * [progress]: generating series expansions 2.764 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.764 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.764 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.764 * [taylor]: Taking taylor expansion of 1.0 in k 2.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.764 * [taylor]: Taking taylor expansion of k in k 2.766 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.766 * [taylor]: Taking taylor expansion of 1.0 in k 2.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.766 * [taylor]: Taking taylor expansion of k in k 2.777 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.777 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.777 * [taylor]: Taking taylor expansion of 1.0 in k 2.777 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.777 * [taylor]: Taking taylor expansion of k in k 2.778 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.778 * [taylor]: Taking taylor expansion of 1.0 in k 2.778 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.778 * [taylor]: Taking taylor expansion of k in k 2.789 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.789 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.789 * [taylor]: Taking taylor expansion of 1.0 in k 2.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.789 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.789 * [taylor]: Taking taylor expansion of -1 in k 2.789 * [taylor]: Taking taylor expansion of k in k 2.790 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.790 * [taylor]: Taking taylor expansion of 1.0 in k 2.790 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.790 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.790 * [taylor]: Taking taylor expansion of -1 in k 2.790 * [taylor]: Taking taylor expansion of k in k 2.802 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.802 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.802 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.803 * [taylor]: Taking taylor expansion of 0.5 in k 2.803 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.803 * [taylor]: Taking taylor expansion of 1.0 in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.803 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.803 * [taylor]: Taking taylor expansion of 2.0 in k 2.803 * [taylor]: Taking taylor expansion of (* n PI) in k 2.803 * [taylor]: Taking taylor expansion of n in k 2.803 * [taylor]: Taking taylor expansion of PI in k 2.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.804 * [taylor]: Taking taylor expansion of 0.5 in n 2.804 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.804 * [taylor]: Taking taylor expansion of 1.0 in n 2.804 * [taylor]: Taking taylor expansion of k in n 2.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.804 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.804 * [taylor]: Taking taylor expansion of 2.0 in n 2.804 * [taylor]: Taking taylor expansion of (* n PI) in n 2.804 * [taylor]: Taking taylor expansion of n in n 2.804 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.809 * [taylor]: Taking taylor expansion of 0.5 in n 2.809 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of k in n 2.809 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.809 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.809 * [taylor]: Taking taylor expansion of 2.0 in n 2.809 * [taylor]: Taking taylor expansion of (* n PI) in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.815 * [taylor]: Taking taylor expansion of 0.5 in k 2.815 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.815 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.815 * [taylor]: Taking taylor expansion of 1.0 in k 2.815 * [taylor]: Taking taylor expansion of k in k 2.815 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.815 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.815 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.815 * [taylor]: Taking taylor expansion of 2.0 in k 2.815 * [taylor]: Taking taylor expansion of PI in k 2.816 * [taylor]: Taking taylor expansion of (log n) in k 2.816 * [taylor]: Taking taylor expansion of n in k 2.825 * [taylor]: Taking taylor expansion of 0 in k 2.847 * [taylor]: Taking taylor expansion of 0 in k 2.866 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.866 * [taylor]: Taking taylor expansion of 0.5 in k 2.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.866 * [taylor]: Taking taylor expansion of 1.0 in k 2.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.866 * [taylor]: Taking taylor expansion of k in k 2.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.866 * [taylor]: Taking taylor expansion of 2.0 in k 2.867 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.867 * [taylor]: Taking taylor expansion of PI in k 2.867 * [taylor]: Taking taylor expansion of n in k 2.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.868 * [taylor]: Taking taylor expansion of 0.5 in n 2.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.868 * [taylor]: Taking taylor expansion of 1.0 in n 2.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.868 * [taylor]: Taking taylor expansion of k in n 2.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.868 * [taylor]: Taking taylor expansion of 2.0 in n 2.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.868 * [taylor]: Taking taylor expansion of PI in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.872 * [taylor]: Taking taylor expansion of 0.5 in n 2.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.872 * [taylor]: Taking taylor expansion of 1.0 in n 2.872 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.872 * [taylor]: Taking taylor expansion of k in n 2.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.872 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.872 * [taylor]: Taking taylor expansion of 2.0 in n 2.872 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.872 * [taylor]: Taking taylor expansion of PI in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.876 * [taylor]: Taking taylor expansion of 0.5 in k 2.876 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.876 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.876 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.876 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.876 * [taylor]: Taking taylor expansion of 2.0 in k 2.876 * [taylor]: Taking taylor expansion of PI in k 2.877 * [taylor]: Taking taylor expansion of (log n) in k 2.877 * [taylor]: Taking taylor expansion of n in k 2.877 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.877 * [taylor]: Taking taylor expansion of 1.0 in k 2.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.877 * [taylor]: Taking taylor expansion of k in k 2.886 * [taylor]: Taking taylor expansion of 0 in k 2.893 * [taylor]: Taking taylor expansion of 0 in k 2.902 * [taylor]: Taking taylor expansion of 0 in k 2.904 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.904 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.904 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.904 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.904 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.904 * [taylor]: Taking taylor expansion of 0.5 in k 2.904 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.904 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.904 * [taylor]: Taking taylor expansion of k in k 2.904 * [taylor]: Taking taylor expansion of 1.0 in k 2.904 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.904 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.904 * [taylor]: Taking taylor expansion of -2.0 in k 2.904 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.904 * [taylor]: Taking taylor expansion of PI in k 2.904 * [taylor]: Taking taylor expansion of n in k 2.905 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.905 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.905 * [taylor]: Taking taylor expansion of 0.5 in n 2.905 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.905 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.905 * [taylor]: Taking taylor expansion of k in n 2.905 * [taylor]: Taking taylor expansion of 1.0 in n 2.905 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.905 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.905 * [taylor]: Taking taylor expansion of -2.0 in n 2.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.905 * [taylor]: Taking taylor expansion of PI in n 2.905 * [taylor]: Taking taylor expansion of n in n 2.909 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.909 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.909 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.909 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.909 * [taylor]: Taking taylor expansion of 0.5 in n 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.909 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.909 * [taylor]: Taking taylor expansion of k in n 2.909 * [taylor]: Taking taylor expansion of 1.0 in n 2.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.909 * [taylor]: Taking taylor expansion of -2.0 in n 2.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.909 * [taylor]: Taking taylor expansion of PI in n 2.909 * [taylor]: Taking taylor expansion of n in n 2.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.913 * [taylor]: Taking taylor expansion of 0.5 in k 2.913 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.913 * [taylor]: Taking taylor expansion of k in k 2.913 * [taylor]: Taking taylor expansion of 1.0 in k 2.913 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.913 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.913 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.913 * [taylor]: Taking taylor expansion of -2.0 in k 2.913 * [taylor]: Taking taylor expansion of PI in k 2.914 * [taylor]: Taking taylor expansion of (log n) in k 2.914 * [taylor]: Taking taylor expansion of n in k 2.923 * [taylor]: Taking taylor expansion of 0 in k 2.936 * [taylor]: Taking taylor expansion of 0 in k 2.944 * [taylor]: Taking taylor expansion of 0 in k 2.945 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.946 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.946 * [taylor]: Taking taylor expansion of 2.0 in n 2.946 * [taylor]: Taking taylor expansion of (* n PI) in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.946 * [taylor]: Taking taylor expansion of 2.0 in n 2.946 * [taylor]: Taking taylor expansion of (* n PI) in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.958 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.958 * [taylor]: Taking taylor expansion of 2.0 in n 2.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.958 * [taylor]: Taking taylor expansion of PI in n 2.958 * [taylor]: Taking taylor expansion of n in n 2.958 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.958 * [taylor]: Taking taylor expansion of 2.0 in n 2.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.958 * [taylor]: Taking taylor expansion of PI in n 2.958 * [taylor]: Taking taylor expansion of n in n 2.967 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.967 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.967 * [taylor]: Taking taylor expansion of -2.0 in n 2.967 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.967 * [taylor]: Taking taylor expansion of PI in n 2.967 * [taylor]: Taking taylor expansion of n in n 2.968 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.968 * [taylor]: Taking taylor expansion of -2.0 in n 2.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.968 * [taylor]: Taking taylor expansion of PI in n 2.968 * [taylor]: Taking taylor expansion of n in n 2.976 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.977 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 2.977 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.977 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.977 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.977 * [taylor]: Taking taylor expansion of 1/4 in k 2.977 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.977 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.977 * [taylor]: Taking taylor expansion of k in k 2.977 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.978 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.978 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.978 * [taylor]: Taking taylor expansion of 1/4 in k 2.978 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.978 * [taylor]: Taking taylor expansion of k in k 3.034 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 3.034 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.034 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.034 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.034 * [taylor]: Taking taylor expansion of 1/4 in k 3.034 * [taylor]: Taking taylor expansion of (log k) in k 3.034 * [taylor]: Taking taylor expansion of k in k 3.035 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 3.035 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 3.035 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 3.035 * [taylor]: Taking taylor expansion of 1/4 in k 3.035 * [taylor]: Taking taylor expansion of (log k) in k 3.035 * [taylor]: Taking taylor expansion of k in k 3.089 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.089 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.089 * [taylor]: Taking taylor expansion of -1 in k 3.089 * [taylor]: Taking taylor expansion of k in k 3.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 3.096 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.096 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.096 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.096 * [taylor]: Taking taylor expansion of -1 in k 3.096 * [taylor]: Taking taylor expansion of k in k 3.120 * * * [progress]: simplifying candidates 3.123 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (log1p (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (+ (- (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- 0 (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k))))) (+ (log (/ 1 (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k))))) (log (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (exp (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))))) (cbrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (* (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))))) (* 1 1.0) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt 1) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt 1.0) 1)) (* (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt 1)))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt 1))) (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (* (/ 1 (sqrt (sqrt k))) (/ 1 1)) (* (/ 1 (sqrt (sqrt k))) 1) (* (/ 1 (sqrt (sqrt k))) 1.0) (* (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (/ 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(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 (sqrt (sqrt k)))) (log1p (/ 1 (sqrt (sqrt k)))) (- 1/2) (- 1) (- 1/4) (- 1/2) (- 1/4) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (/ 1 (pow (sqrt (sqrt k)) 3)) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ (cbrt 1) (/ (fabs (cbrt (sqrt k))) (cbrt 1))) (/ (cbrt 1) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1) (sqrt (sqrt (sqrt k)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (cbrt (sqrt (sqrt k)))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt (sqrt k)) (cbrt 1)) (sqrt (sqrt k)) (sqrt (sqrt k)) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (+ (+ (fma (* 0.125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (- (pow (* (* 2.0 PI) n) 0.5) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (* (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2))) (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) (pow k -1/4) (pow (/ 1 k) 1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) k)) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 3.223 * * * [progress]: adding candidates to table 3.774 * * [progress]: iteration 4 / 4 3.774 * * * [progress]: picking best candidate 3.805 * * * * [pick]: Picked # 3.805 * * * [progress]: localizing error 3.820 * * * [progress]: generating rewritten candidates 3.820 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.839 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 3.856 * * * [progress]: generating series expansions 3.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.856 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.857 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.857 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.857 * [taylor]: Taking taylor expansion of 0.5 in k 3.857 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.857 * [taylor]: Taking taylor expansion of 1.0 in k 3.857 * [taylor]: Taking taylor expansion of k in k 3.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.857 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.857 * [taylor]: Taking taylor expansion of 2.0 in k 3.857 * [taylor]: Taking taylor expansion of (* n PI) in k 3.857 * [taylor]: Taking taylor expansion of n in k 3.857 * [taylor]: Taking taylor expansion of PI in k 3.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.858 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.858 * [taylor]: Taking taylor expansion of 0.5 in n 3.858 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.858 * [taylor]: Taking taylor expansion of 1.0 in n 3.858 * [taylor]: Taking taylor expansion of k in n 3.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.858 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.858 * [taylor]: Taking taylor expansion of 2.0 in n 3.858 * [taylor]: Taking taylor expansion of (* n PI) in n 3.858 * [taylor]: Taking taylor expansion of n in n 3.858 * [taylor]: Taking taylor expansion of PI in n 3.863 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.863 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.864 * [taylor]: Taking taylor expansion of 0.5 in n 3.864 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.864 * [taylor]: Taking taylor expansion of 1.0 in n 3.864 * [taylor]: Taking taylor expansion of k in n 3.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.864 * [taylor]: Taking taylor expansion of 2.0 in n 3.864 * [taylor]: Taking taylor expansion of (* n PI) in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.864 * [taylor]: Taking taylor expansion of PI in n 3.869 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.869 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.869 * [taylor]: Taking taylor expansion of 0.5 in k 3.869 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.869 * [taylor]: Taking taylor expansion of 1.0 in k 3.869 * [taylor]: Taking taylor expansion of k in k 3.869 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.869 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.869 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.869 * [taylor]: Taking taylor expansion of 2.0 in k 3.869 * [taylor]: Taking taylor expansion of PI in k 3.870 * [taylor]: Taking taylor expansion of (log n) in k 3.870 * [taylor]: Taking taylor expansion of n in k 3.879 * [taylor]: Taking taylor expansion of 0 in k 3.899 * [taylor]: Taking taylor expansion of 0 in k 3.918 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.918 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.918 * [taylor]: Taking taylor expansion of 0.5 in k 3.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.918 * [taylor]: Taking taylor expansion of 1.0 in k 3.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.918 * [taylor]: Taking taylor expansion of k in k 3.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.918 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.918 * [taylor]: Taking taylor expansion of 2.0 in k 3.918 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.918 * [taylor]: Taking taylor expansion of PI in k 3.918 * [taylor]: Taking taylor expansion of n in k 3.919 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.920 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.920 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.920 * [taylor]: Taking taylor expansion of 0.5 in n 3.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.920 * [taylor]: Taking taylor expansion of 1.0 in n 3.920 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.920 * [taylor]: Taking taylor expansion of k in n 3.920 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.920 * [taylor]: Taking taylor expansion of 2.0 in n 3.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.920 * [taylor]: Taking taylor expansion of PI in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.923 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.923 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.923 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.923 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.923 * [taylor]: Taking taylor expansion of 0.5 in n 3.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.923 * [taylor]: Taking taylor expansion of 1.0 in n 3.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.923 * [taylor]: Taking taylor expansion of k in n 3.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.924 * [taylor]: Taking taylor expansion of 2.0 in n 3.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.924 * [taylor]: Taking taylor expansion of PI in n 3.924 * [taylor]: Taking taylor expansion of n in n 3.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.927 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.927 * [taylor]: Taking taylor expansion of 0.5 in k 3.927 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.927 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.927 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.927 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.927 * [taylor]: Taking taylor expansion of 2.0 in k 3.927 * [taylor]: Taking taylor expansion of PI in k 3.928 * [taylor]: Taking taylor expansion of (log n) in k 3.928 * [taylor]: Taking taylor expansion of n in k 3.928 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.928 * [taylor]: Taking taylor expansion of 1.0 in k 3.928 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.928 * [taylor]: Taking taylor expansion of k in k 3.938 * [taylor]: Taking taylor expansion of 0 in k 3.945 * [taylor]: Taking taylor expansion of 0 in k 3.954 * [taylor]: Taking taylor expansion of 0 in k 3.955 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.955 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.955 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.955 * [taylor]: Taking taylor expansion of 0.5 in k 3.955 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.955 * [taylor]: Taking taylor expansion of k in k 3.956 * [taylor]: Taking taylor expansion of 1.0 in k 3.956 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.956 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.956 * [taylor]: Taking taylor expansion of -2.0 in k 3.956 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.956 * [taylor]: Taking taylor expansion of PI in k 3.956 * [taylor]: Taking taylor expansion of n in k 3.956 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.957 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.957 * [taylor]: Taking taylor expansion of 0.5 in n 3.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.957 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.957 * [taylor]: Taking taylor expansion of k in n 3.957 * [taylor]: Taking taylor expansion of 1.0 in n 3.957 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.957 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.957 * [taylor]: Taking taylor expansion of -2.0 in n 3.957 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.957 * [taylor]: Taking taylor expansion of PI in n 3.957 * [taylor]: Taking taylor expansion of n in n 3.960 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.960 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.960 * [taylor]: Taking taylor expansion of 0.5 in n 3.960 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.960 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.960 * [taylor]: Taking taylor expansion of k in n 3.961 * [taylor]: Taking taylor expansion of 1.0 in n 3.961 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.961 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.961 * [taylor]: Taking taylor expansion of -2.0 in n 3.961 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.961 * [taylor]: Taking taylor expansion of PI in n 3.961 * [taylor]: Taking taylor expansion of n in n 3.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.964 * [taylor]: Taking taylor expansion of 0.5 in k 3.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.964 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.964 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.964 * [taylor]: Taking taylor expansion of k in k 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.970 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.970 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.970 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.970 * [taylor]: Taking taylor expansion of -2.0 in k 3.970 * [taylor]: Taking taylor expansion of PI in k 3.971 * [taylor]: Taking taylor expansion of (log n) in k 3.971 * [taylor]: Taking taylor expansion of n in k 3.980 * [taylor]: Taking taylor expansion of 0 in k 3.987 * [taylor]: Taking taylor expansion of 0 in k 3.996 * [taylor]: Taking taylor expansion of 0 in k 3.996 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.997 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.997 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.997 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.997 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.997 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.997 * [taylor]: Taking taylor expansion of 0.5 in k 3.997 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.997 * [taylor]: Taking taylor expansion of 1.0 in k 3.997 * [taylor]: Taking taylor expansion of k in k 3.997 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.997 * [taylor]: Taking taylor expansion of 2.0 in k 3.997 * [taylor]: Taking taylor expansion of (* n PI) in k 3.997 * [taylor]: Taking taylor expansion of n in k 3.997 * [taylor]: Taking taylor expansion of PI in k 3.998 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.998 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.998 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.998 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.998 * [taylor]: Taking taylor expansion of 0.5 in n 3.998 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.998 * [taylor]: Taking taylor expansion of 1.0 in n 3.998 * [taylor]: Taking taylor expansion of k in n 3.998 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.998 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.998 * [taylor]: Taking taylor expansion of 2.0 in n 3.998 * [taylor]: Taking taylor expansion of (* n PI) in n 3.998 * [taylor]: Taking taylor expansion of n in n 3.998 * [taylor]: Taking taylor expansion of PI in n 4.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.004 * [taylor]: Taking taylor expansion of 0.5 in n 4.004 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.004 * [taylor]: Taking taylor expansion of 1.0 in n 4.004 * [taylor]: Taking taylor expansion of k in n 4.004 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.004 * [taylor]: Taking taylor expansion of 2.0 in n 4.004 * [taylor]: Taking taylor expansion of (* n PI) in n 4.004 * [taylor]: Taking taylor expansion of n in n 4.004 * [taylor]: Taking taylor expansion of PI in n 4.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.009 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.009 * [taylor]: Taking taylor expansion of 0.5 in k 4.009 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.009 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.009 * [taylor]: Taking taylor expansion of 1.0 in k 4.009 * [taylor]: Taking taylor expansion of k in k 4.009 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.009 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.009 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.009 * [taylor]: Taking taylor expansion of 2.0 in k 4.009 * [taylor]: Taking taylor expansion of PI in k 4.010 * [taylor]: Taking taylor expansion of (log n) in k 4.010 * [taylor]: Taking taylor expansion of n in k 4.019 * [taylor]: Taking taylor expansion of 0 in k 4.035 * [taylor]: Taking taylor expansion of 0 in k 4.059 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.059 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.059 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.059 * [taylor]: Taking taylor expansion of 0.5 in k 4.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.060 * [taylor]: Taking taylor expansion of 1.0 in k 4.060 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.060 * [taylor]: Taking taylor expansion of k in k 4.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.060 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.060 * [taylor]: Taking taylor expansion of 2.0 in k 4.060 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.060 * [taylor]: Taking taylor expansion of PI in k 4.060 * [taylor]: Taking taylor expansion of n in k 4.061 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.061 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.061 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.061 * [taylor]: Taking taylor expansion of 0.5 in n 4.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.061 * [taylor]: Taking taylor expansion of 1.0 in n 4.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.061 * [taylor]: Taking taylor expansion of k in n 4.061 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.061 * [taylor]: Taking taylor expansion of 2.0 in n 4.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.061 * [taylor]: Taking taylor expansion of PI in n 4.061 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.065 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.065 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.065 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.065 * [taylor]: Taking taylor expansion of 0.5 in n 4.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.065 * [taylor]: Taking taylor expansion of 1.0 in n 4.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.065 * [taylor]: Taking taylor expansion of k in n 4.065 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.065 * [taylor]: Taking taylor expansion of 2.0 in n 4.065 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.065 * [taylor]: Taking taylor expansion of n in n 4.069 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.069 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.069 * [taylor]: Taking taylor expansion of 0.5 in k 4.069 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.069 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.069 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.069 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.069 * [taylor]: Taking taylor expansion of 2.0 in k 4.069 * [taylor]: Taking taylor expansion of PI in k 4.070 * [taylor]: Taking taylor expansion of (log n) in k 4.070 * [taylor]: Taking taylor expansion of n in k 4.070 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.070 * [taylor]: Taking taylor expansion of 1.0 in k 4.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.070 * [taylor]: Taking taylor expansion of k in k 4.080 * [taylor]: Taking taylor expansion of 0 in k 4.087 * [taylor]: Taking taylor expansion of 0 in k 4.096 * [taylor]: Taking taylor expansion of 0 in k 4.097 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.097 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.097 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.097 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.097 * [taylor]: Taking taylor expansion of 0.5 in k 4.097 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.097 * [taylor]: Taking taylor expansion of k in k 4.097 * [taylor]: Taking taylor expansion of 1.0 in k 4.098 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.098 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.098 * [taylor]: Taking taylor expansion of -2.0 in k 4.098 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.098 * [taylor]: Taking taylor expansion of PI in k 4.098 * [taylor]: Taking taylor expansion of n in k 4.098 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.098 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.098 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.098 * [taylor]: Taking taylor expansion of 0.5 in n 4.098 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.099 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.099 * [taylor]: Taking taylor expansion of k in n 4.099 * [taylor]: Taking taylor expansion of 1.0 in n 4.099 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.099 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.099 * [taylor]: Taking taylor expansion of -2.0 in n 4.099 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.099 * [taylor]: Taking taylor expansion of PI in n 4.099 * [taylor]: Taking taylor expansion of n in n 4.102 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.102 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.102 * [taylor]: Taking taylor expansion of 0.5 in n 4.102 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.102 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.102 * [taylor]: Taking taylor expansion of k in n 4.102 * [taylor]: Taking taylor expansion of 1.0 in n 4.102 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.103 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.103 * [taylor]: Taking taylor expansion of -2.0 in n 4.103 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.103 * [taylor]: Taking taylor expansion of PI in n 4.103 * [taylor]: Taking taylor expansion of n in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.106 * [taylor]: Taking taylor expansion of 0.5 in k 4.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.106 * [taylor]: Taking taylor expansion of k in k 4.107 * [taylor]: Taking taylor expansion of 1.0 in k 4.107 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.107 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.107 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.107 * [taylor]: Taking taylor expansion of -2.0 in k 4.107 * [taylor]: Taking taylor expansion of PI in k 4.108 * [taylor]: Taking taylor expansion of (log n) in k 4.108 * [taylor]: Taking taylor expansion of n in k 4.116 * [taylor]: Taking taylor expansion of 0 in k 4.123 * [taylor]: Taking taylor expansion of 0 in k 4.132 * [taylor]: Taking taylor expansion of 0 in k 4.133 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 4.133 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.133 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.133 * [taylor]: Taking taylor expansion of 2.0 in n 4.133 * [taylor]: Taking taylor expansion of (* n PI) in n 4.133 * [taylor]: Taking taylor expansion of n in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.133 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.133 * [taylor]: Taking taylor expansion of 2.0 in n 4.133 * [taylor]: Taking taylor expansion of (* n PI) in n 4.134 * [taylor]: Taking taylor expansion of n in n 4.134 * [taylor]: Taking taylor expansion of PI in n 4.151 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.151 * [taylor]: Taking taylor expansion of 2.0 in n 4.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.151 * [taylor]: Taking taylor expansion of PI in n 4.151 * [taylor]: Taking taylor expansion of n in n 4.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.151 * [taylor]: Taking taylor expansion of 2.0 in n 4.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.151 * [taylor]: Taking taylor expansion of PI in n 4.151 * [taylor]: Taking taylor expansion of n in n 4.160 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.160 * [taylor]: Taking taylor expansion of -2.0 in n 4.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.160 * [taylor]: Taking taylor expansion of PI in n 4.160 * [taylor]: Taking taylor expansion of n in n 4.161 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.161 * [taylor]: Taking taylor expansion of -2.0 in n 4.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.161 * [taylor]: Taking taylor expansion of PI in n 4.161 * [taylor]: Taking taylor expansion of n in n 4.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 4.170 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.170 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.170 * [taylor]: Taking taylor expansion of 2.0 in n 4.170 * [taylor]: Taking taylor expansion of (* n PI) in n 4.170 * [taylor]: Taking taylor expansion of n in n 4.170 * [taylor]: Taking taylor expansion of PI in n 4.170 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.170 * [taylor]: Taking taylor expansion of 2.0 in n 4.170 * [taylor]: Taking taylor expansion of (* n PI) in n 4.170 * [taylor]: Taking taylor expansion of n in n 4.170 * [taylor]: Taking taylor expansion of PI in n 4.182 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.182 * [taylor]: Taking taylor expansion of 2.0 in n 4.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.182 * [taylor]: Taking taylor expansion of PI in n 4.182 * [taylor]: Taking taylor expansion of n in n 4.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.182 * [taylor]: Taking taylor expansion of 2.0 in n 4.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.182 * [taylor]: Taking taylor expansion of PI in n 4.182 * [taylor]: Taking taylor expansion of n in n 4.191 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.191 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.191 * [taylor]: Taking taylor expansion of -2.0 in n 4.191 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.191 * [taylor]: Taking taylor expansion of PI in n 4.191 * [taylor]: Taking taylor expansion of n in n 4.191 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.192 * [taylor]: Taking taylor expansion of -2.0 in n 4.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.192 * [taylor]: Taking taylor expansion of PI in n 4.192 * [taylor]: Taking taylor expansion of n in n 4.200 * * * [progress]: simplifying candidates 4.202 * [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 (* (* 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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.208 * * [simplify]: iteration 0 : 407 enodes (cost 832 ) 4.215 * * [simplify]: iteration 1 : 1658 enodes (cost 770 ) 4.246 * * [simplify]: iteration 2 : 5001 enodes (cost 732 ) 4.250 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 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 (* (* 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) (+ (+ (* (- (* 0.5 k)) (fma (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) (* (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (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)))))) (+ (+ (* (- (* 0.5 k)) (fma (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) (* (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (+ (pow (log (* 2.0 PI)) 2) (pow (log n) 2)))) (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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.251 * * * [progress]: adding candidates to table 4.654 * [progress]: [Phase 3 of 3] Extracting. 4.654 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 4.658 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 4.658 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 4.704 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 4.754 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 4.800 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 4.845 * * * [regime]: Found split indices: #