13.994 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.087 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.088 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.090 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.092 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.099 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.121 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.122 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.122 * * [progress]: iteration 1 / 4 0.122 * * * [progress]: picking best candidate 0.124 * * * * [pick]: Picked # 0.124 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.183 * * * [progress]: generating series expansions 0.183 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.184 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.184 * [taylor]: Taking taylor expansion of 0.5 in k 0.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.184 * [taylor]: Taking taylor expansion of 1.0 in k 0.184 * [taylor]: Taking taylor expansion of k in k 0.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.184 * [taylor]: Taking taylor expansion of 2.0 in k 0.184 * [taylor]: Taking taylor expansion of (* n PI) in k 0.184 * [taylor]: Taking taylor expansion of n in k 0.184 * [taylor]: Taking taylor expansion of PI in k 0.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.185 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.185 * [taylor]: Taking taylor expansion of 0.5 in n 0.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.185 * [taylor]: Taking taylor expansion of 1.0 in n 0.185 * [taylor]: Taking taylor expansion of k in n 0.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.185 * [taylor]: Taking taylor expansion of 2.0 in n 0.185 * [taylor]: Taking taylor expansion of (* n PI) in n 0.185 * [taylor]: Taking taylor expansion of n in n 0.185 * [taylor]: Taking taylor expansion of PI in n 0.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.190 * [taylor]: Taking taylor expansion of 0.5 in n 0.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.191 * [taylor]: Taking taylor expansion of 1.0 in n 0.191 * [taylor]: Taking taylor expansion of k in n 0.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.191 * [taylor]: Taking taylor expansion of 2.0 in n 0.191 * [taylor]: Taking taylor expansion of (* n PI) in n 0.191 * [taylor]: Taking taylor expansion of n in n 0.191 * [taylor]: Taking taylor expansion of PI in n 0.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.196 * [taylor]: Taking taylor expansion of 0.5 in k 0.196 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.196 * [taylor]: Taking taylor expansion of 1.0 in k 0.196 * [taylor]: Taking taylor expansion of k in k 0.196 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.196 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.196 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.196 * [taylor]: Taking taylor expansion of 2.0 in k 0.196 * [taylor]: Taking taylor expansion of PI in k 0.197 * [taylor]: Taking taylor expansion of (log n) in k 0.197 * [taylor]: Taking taylor expansion of n in k 0.206 * [taylor]: Taking taylor expansion of 0 in k 0.221 * [taylor]: Taking taylor expansion of 0 in k 0.240 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.240 * [taylor]: Taking taylor expansion of 0.5 in k 0.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.240 * [taylor]: Taking taylor expansion of 1.0 in k 0.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.240 * [taylor]: Taking taylor expansion of k in k 0.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.240 * [taylor]: Taking taylor expansion of 2.0 in k 0.240 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.241 * [taylor]: Taking taylor expansion of PI in k 0.241 * [taylor]: Taking taylor expansion of n in k 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.242 * [taylor]: Taking taylor expansion of 0.5 in n 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.242 * [taylor]: Taking taylor expansion of 1.0 in n 0.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.242 * [taylor]: Taking taylor expansion of k in n 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.242 * [taylor]: Taking taylor expansion of 2.0 in n 0.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.242 * [taylor]: Taking taylor expansion of PI in n 0.242 * [taylor]: Taking taylor expansion of n in n 0.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.245 * [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 0.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.249 * [taylor]: Taking taylor expansion of 0.5 in k 0.249 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.249 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.249 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.249 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.249 * [taylor]: Taking taylor expansion of 2.0 in k 0.249 * [taylor]: Taking taylor expansion of PI in k 0.250 * [taylor]: Taking taylor expansion of (log n) in k 0.250 * [taylor]: Taking taylor expansion of n in k 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.250 * [taylor]: Taking taylor expansion of 1.0 in k 0.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.251 * [taylor]: Taking taylor expansion of k in k 0.267 * [taylor]: Taking taylor expansion of 0 in k 0.274 * [taylor]: Taking taylor expansion of 0 in k 0.283 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.284 * [taylor]: Taking taylor expansion of 0.5 in k 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.284 * [taylor]: Taking taylor expansion of k in k 0.285 * [taylor]: Taking taylor expansion of 1.0 in k 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.285 * [taylor]: Taking taylor expansion of -2.0 in k 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.285 * [taylor]: Taking taylor expansion of PI in k 0.285 * [taylor]: Taking taylor expansion of n in k 0.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.286 * [taylor]: Taking taylor expansion of 0.5 in n 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.286 * [taylor]: Taking taylor expansion of k in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.286 * [taylor]: Taking taylor expansion of -2.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.293 * [taylor]: Taking taylor expansion of 0.5 in k 0.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.294 * [taylor]: Taking taylor expansion of 1.0 in k 0.294 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.294 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.294 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.294 * [taylor]: Taking taylor expansion of -2.0 in k 0.294 * [taylor]: Taking taylor expansion of PI in k 0.295 * [taylor]: Taking taylor expansion of (log n) in k 0.295 * [taylor]: Taking taylor expansion of n in k 0.303 * [taylor]: Taking taylor expansion of 0 in k 0.310 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.320 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* n PI) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* n PI) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.332 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.348 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 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 0.348 * [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) 0.357 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.357 * [taylor]: Taking taylor expansion of 1.0 in k 0.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.357 * [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 0.380 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.380 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.380 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.380 * [taylor]: Taking taylor expansion of -1 in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.382 * [taylor]: Taking taylor expansion of -1 in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.393 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.394 * [taylor]: Taking taylor expansion of 1.0 in n 0.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.394 * [taylor]: Taking taylor expansion of k in n 0.394 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.394 * [taylor]: Taking taylor expansion of 0.5 in n 0.394 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.394 * [taylor]: Taking taylor expansion of 1.0 in n 0.394 * [taylor]: Taking taylor expansion of k in n 0.394 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.394 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.394 * [taylor]: Taking taylor expansion of 2.0 in n 0.394 * [taylor]: Taking taylor expansion of (* n PI) in n 0.394 * [taylor]: Taking taylor expansion of n in n 0.394 * [taylor]: Taking taylor expansion of PI in n 0.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.400 * [taylor]: Taking taylor expansion of k in k 0.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.401 * [taylor]: Taking taylor expansion of 0.5 in k 0.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.401 * [taylor]: Taking taylor expansion of 1.0 in k 0.401 * [taylor]: Taking taylor expansion of k in k 0.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.401 * [taylor]: Taking taylor expansion of 2.0 in k 0.401 * [taylor]: Taking taylor expansion of (* n PI) in k 0.401 * [taylor]: Taking taylor expansion of n in k 0.401 * [taylor]: Taking taylor expansion of PI in k 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.402 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.403 * [taylor]: Taking taylor expansion of 0.5 in k 0.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.403 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.403 * [taylor]: Taking taylor expansion of 2.0 in k 0.404 * [taylor]: Taking taylor expansion of (* n PI) in k 0.404 * [taylor]: Taking taylor expansion of n in k 0.404 * [taylor]: Taking taylor expansion of PI in k 0.405 * [taylor]: Taking taylor expansion of 0 in n 0.410 * [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 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of +nan.0 in n 0.410 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.410 * [taylor]: Taking taylor expansion of 0.5 in n 0.410 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.410 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.410 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.410 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.410 * [taylor]: Taking taylor expansion of 1.0 in n 0.410 * [taylor]: Taking taylor expansion of (log PI) in n 0.410 * [taylor]: Taking taylor expansion of PI in n 0.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.412 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.412 * [taylor]: Taking taylor expansion of 1.0 in n 0.412 * [taylor]: Taking taylor expansion of (log n) in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.413 * [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 0.439 * [taylor]: Taking taylor expansion of (log PI) in n 0.439 * [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 0.441 * [taylor]: Taking taylor expansion of (log n) in n 0.441 * [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 0.447 * [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 0.447 * [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 0.447 * [taylor]: Taking taylor expansion of +nan.0 in n 0.447 * [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 0.447 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.447 * [taylor]: Taking taylor expansion of 0.5 in n 0.447 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.447 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.447 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.447 * [taylor]: Taking taylor expansion of 2.0 in n 0.449 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.449 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.449 * [taylor]: Taking taylor expansion of 1.0 in n 0.449 * [taylor]: Taking taylor expansion of (log PI) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log n) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.455 * [taylor]: Taking taylor expansion of 2.0 in n 0.455 * [taylor]: Taking taylor expansion of (* n PI) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of PI in n 0.503 * [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 0.503 * [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 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of +nan.0 in n 0.503 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.503 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.504 * [taylor]: Taking taylor expansion of 2.0 in n 0.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log n) in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log PI) in n 0.506 * [taylor]: Taking taylor expansion of PI in n 0.511 * [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 0.511 * [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 0.511 * [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 0.512 * [taylor]: Taking taylor expansion of +nan.0 in n 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 PI 1.0) (pow n 1.0)))) in n 0.512 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 0.520 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.520 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log PI) in n 0.520 * [taylor]: Taking taylor expansion of PI in n 0.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (log n) in n 0.522 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (* n PI) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of PI in n 0.530 * [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 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.530 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log PI) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.538 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.616 * [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 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.616 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.616 * [taylor]: Taking taylor expansion of 0.5 in n 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.620 * [taylor]: Taking taylor expansion of 1.0 in k 0.620 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.620 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.621 * [taylor]: Taking taylor expansion of 0.5 in k 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.621 * [taylor]: Taking taylor expansion of 1.0 in k 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.621 * [taylor]: Taking taylor expansion of k in k 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.621 * [taylor]: Taking taylor expansion of 2.0 in k 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.621 * [taylor]: Taking taylor expansion of PI in k 0.621 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.622 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.622 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.623 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.625 * [taylor]: Taking taylor expansion of 0 in n 0.626 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.626 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.626 * [taylor]: Taking taylor expansion of +nan.0 in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.626 * [taylor]: Taking taylor expansion of 2.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.636 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.636 * [taylor]: Taking taylor expansion of +nan.0 in n 0.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.636 * [taylor]: Taking taylor expansion of 2.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.636 * [taylor]: Taking taylor expansion of PI in n 0.636 * [taylor]: Taking taylor expansion of n in n 0.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.637 * [taylor]: Taking taylor expansion of k in n 0.654 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.654 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.654 * [taylor]: Taking taylor expansion of +nan.0 in n 0.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.654 * [taylor]: Taking taylor expansion of 0.5 in n 0.654 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.654 * [taylor]: Taking taylor expansion of 2.0 in n 0.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.654 * [taylor]: Taking taylor expansion of PI in n 0.654 * [taylor]: Taking taylor expansion of n in n 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.655 * [taylor]: Taking taylor expansion of 1.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.655 * [taylor]: Taking taylor expansion of k in n 0.664 * [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 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.664 * [taylor]: Taking taylor expansion of 0.5 in n 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.664 * [taylor]: Taking taylor expansion of -2.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.668 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.668 * [taylor]: Taking taylor expansion of -1 in n 0.668 * [taylor]: Taking taylor expansion of k in n 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.669 * [taylor]: Taking taylor expansion of 0.5 in k 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.669 * [taylor]: Taking taylor expansion of k in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.669 * [taylor]: Taking taylor expansion of -2.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.669 * [taylor]: Taking taylor expansion of PI in k 0.669 * [taylor]: Taking taylor expansion of n in k 0.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.670 * [taylor]: Taking taylor expansion of -1 in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.671 * [taylor]: Taking taylor expansion of 1.0 in k 0.671 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.671 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.671 * [taylor]: Taking taylor expansion of 0.5 in k 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.671 * [taylor]: Taking taylor expansion of k in k 0.672 * [taylor]: Taking taylor expansion of 1.0 in k 0.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.672 * [taylor]: Taking taylor expansion of -2.0 in k 0.672 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.672 * [taylor]: Taking taylor expansion of PI in k 0.672 * [taylor]: Taking taylor expansion of n in k 0.673 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.673 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.673 * [taylor]: Taking taylor expansion of -1 in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.674 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.674 * [taylor]: Taking taylor expansion of +nan.0 in n 0.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.674 * [taylor]: Taking taylor expansion of 0.5 in n 0.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.674 * [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 0.675 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.683 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.683 * [taylor]: Taking taylor expansion of +nan.0 in n 0.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of -2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.707 * [taylor]: Taking taylor expansion of +nan.0 in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.707 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.707 * [taylor]: Taking taylor expansion of -2.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.717 * * * [progress]: simplifying candidates 0.719 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 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) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.817 * * * [progress]: adding candidates to table 1.222 * * [progress]: iteration 2 / 4 1.222 * * * [progress]: picking best candidate 1.260 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.277 * * * [progress]: generating rewritten candidates 1.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.368 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.374 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.418 * * * [progress]: generating series expansions 1.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.420 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.420 * [taylor]: Taking taylor expansion of k in k 1.421 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.422 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.423 * [taylor]: Taking taylor expansion of 1.0 in k 1.459 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 1.459 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.459 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.459 * [taylor]: Taking taylor expansion of k in k 1.461 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.461 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.461 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.461 * [taylor]: Taking taylor expansion of k in k 1.462 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.462 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.462 * [taylor]: Taking taylor expansion of 1.0 in k 1.488 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 1.488 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.488 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.488 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.488 * [taylor]: Taking taylor expansion of 1.0 in k 1.489 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.489 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.489 * [taylor]: Taking taylor expansion of -1 in k 1.489 * [taylor]: Taking taylor expansion of k in k 1.492 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.492 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.492 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.493 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.493 * [taylor]: Taking taylor expansion of -1 in k 1.493 * [taylor]: Taking taylor expansion of k in k 1.520 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.520 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.520 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.520 * [taylor]: Taking taylor expansion of 0.5 in k 1.520 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.520 * [taylor]: Taking taylor expansion of k in k 1.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.520 * [taylor]: Taking taylor expansion of 2.0 in k 1.520 * [taylor]: Taking taylor expansion of (* n PI) in k 1.520 * [taylor]: Taking taylor expansion of n in k 1.520 * [taylor]: Taking taylor expansion of PI in k 1.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.521 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.521 * [taylor]: Taking taylor expansion of 0.5 in n 1.521 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.521 * [taylor]: Taking taylor expansion of 1.0 in n 1.521 * [taylor]: Taking taylor expansion of k in n 1.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.521 * [taylor]: Taking taylor expansion of 2.0 in n 1.521 * [taylor]: Taking taylor expansion of (* n PI) in n 1.522 * [taylor]: Taking taylor expansion of n in n 1.522 * [taylor]: Taking taylor expansion of PI in n 1.527 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.527 * [taylor]: Taking taylor expansion of 0.5 in n 1.527 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.527 * [taylor]: Taking taylor expansion of 1.0 in n 1.527 * [taylor]: Taking taylor expansion of k in n 1.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.527 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.527 * [taylor]: Taking taylor expansion of 2.0 in n 1.527 * [taylor]: Taking taylor expansion of (* n PI) in n 1.527 * [taylor]: Taking taylor expansion of n in n 1.527 * [taylor]: Taking taylor expansion of PI in n 1.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.532 * [taylor]: Taking taylor expansion of 0.5 in k 1.532 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.532 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.532 * [taylor]: Taking taylor expansion of 1.0 in k 1.532 * [taylor]: Taking taylor expansion of k in k 1.532 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.532 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.532 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.532 * [taylor]: Taking taylor expansion of 2.0 in k 1.532 * [taylor]: Taking taylor expansion of PI in k 1.539 * [taylor]: Taking taylor expansion of (log n) in k 1.539 * [taylor]: Taking taylor expansion of n in k 1.549 * [taylor]: Taking taylor expansion of 0 in k 1.565 * [taylor]: Taking taylor expansion of 0 in k 1.583 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.583 * [taylor]: Taking taylor expansion of 0.5 in k 1.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.583 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.583 * [taylor]: Taking taylor expansion of 2.0 in k 1.583 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.583 * [taylor]: Taking taylor expansion of PI in k 1.583 * [taylor]: Taking taylor expansion of n in k 1.584 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.584 * [taylor]: Taking taylor expansion of 0.5 in n 1.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.584 * [taylor]: Taking taylor expansion of 1.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.584 * [taylor]: Taking taylor expansion of k in n 1.584 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.584 * [taylor]: Taking taylor expansion of 2.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.588 * [taylor]: Taking taylor expansion of 0.5 in n 1.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.588 * [taylor]: Taking taylor expansion of 1.0 in n 1.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.588 * [taylor]: Taking taylor expansion of k in n 1.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.588 * [taylor]: Taking taylor expansion of 2.0 in n 1.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.588 * [taylor]: Taking taylor expansion of PI in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.592 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.592 * [taylor]: Taking taylor expansion of 0.5 in k 1.592 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.592 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.592 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.592 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.592 * [taylor]: Taking taylor expansion of 2.0 in k 1.592 * [taylor]: Taking taylor expansion of PI in k 1.593 * [taylor]: Taking taylor expansion of (log n) in k 1.593 * [taylor]: Taking taylor expansion of n in k 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.593 * [taylor]: Taking taylor expansion of 1.0 in k 1.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.593 * [taylor]: Taking taylor expansion of k in k 1.602 * [taylor]: Taking taylor expansion of 0 in k 1.609 * [taylor]: Taking taylor expansion of 0 in k 1.624 * [taylor]: Taking taylor expansion of 0 in k 1.626 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.626 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.626 * [taylor]: Taking taylor expansion of 0.5 in k 1.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.626 * [taylor]: Taking taylor expansion of k in k 1.626 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.626 * [taylor]: Taking taylor expansion of -2.0 in k 1.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.626 * [taylor]: Taking taylor expansion of PI in k 1.626 * [taylor]: Taking taylor expansion of n in k 1.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.627 * [taylor]: Taking taylor expansion of 0.5 in n 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.627 * [taylor]: Taking taylor expansion of k in n 1.627 * [taylor]: Taking taylor expansion of 1.0 in n 1.627 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.627 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.627 * [taylor]: Taking taylor expansion of -2.0 in n 1.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.627 * [taylor]: Taking taylor expansion of PI in n 1.627 * [taylor]: Taking taylor expansion of n in n 1.631 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.631 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.631 * [taylor]: Taking taylor expansion of 0.5 in n 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.631 * [taylor]: Taking taylor expansion of k in n 1.631 * [taylor]: Taking taylor expansion of 1.0 in n 1.631 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.631 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.631 * [taylor]: Taking taylor expansion of -2.0 in n 1.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.631 * [taylor]: Taking taylor expansion of PI in n 1.631 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.635 * [taylor]: Taking taylor expansion of 0.5 in k 1.635 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.635 * [taylor]: Taking taylor expansion of k in k 1.635 * [taylor]: Taking taylor expansion of 1.0 in k 1.635 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.635 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.635 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.635 * [taylor]: Taking taylor expansion of -2.0 in k 1.635 * [taylor]: Taking taylor expansion of PI in k 1.636 * [taylor]: Taking taylor expansion of (log n) in k 1.636 * [taylor]: Taking taylor expansion of n in k 1.645 * [taylor]: Taking taylor expansion of 0 in k 1.652 * [taylor]: Taking taylor expansion of 0 in k 1.660 * [taylor]: Taking taylor expansion of 0 in k 1.661 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.662 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.662 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.662 * [taylor]: Taking taylor expansion of 2.0 in n 1.662 * [taylor]: Taking taylor expansion of (* n PI) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [taylor]: Taking taylor expansion of PI in n 1.662 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.662 * [taylor]: Taking taylor expansion of 2.0 in n 1.662 * [taylor]: Taking taylor expansion of (* n PI) in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [taylor]: Taking taylor expansion of PI in n 1.674 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.674 * [taylor]: Taking taylor expansion of 2.0 in n 1.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.674 * [taylor]: Taking taylor expansion of 2.0 in n 1.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.674 * [taylor]: Taking taylor expansion of PI in n 1.674 * [taylor]: Taking taylor expansion of n in n 1.683 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.683 * [taylor]: Taking taylor expansion of -2.0 in n 1.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.683 * [taylor]: Taking taylor expansion of -2.0 in n 1.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.692 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.692 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 1.692 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 1.692 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1.692 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1.692 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1.692 * [taylor]: Taking taylor expansion of 1/4 in k 1.692 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 1.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.692 * [taylor]: Taking taylor expansion of k in k 1.693 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.693 * [taylor]: Taking taylor expansion of 1.0 in k 1.694 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 1.694 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1.694 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1.694 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1.694 * [taylor]: Taking taylor expansion of 1/4 in k 1.694 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 1.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.694 * [taylor]: Taking taylor expansion of k in k 1.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 1.760 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 1.760 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1.760 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 1.760 * [taylor]: Taking taylor expansion of 1/4 in k 1.760 * [taylor]: Taking taylor expansion of (log k) in k 1.760 * [taylor]: Taking taylor expansion of k in k 1.760 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 1.761 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 1.761 * [taylor]: Taking taylor expansion of 1/4 in k 1.761 * [taylor]: Taking taylor expansion of (log k) in k 1.761 * [taylor]: Taking taylor expansion of k in k 1.762 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.762 * [taylor]: Taking taylor expansion of 1.0 in k 1.823 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 1.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 1.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1.823 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.823 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.823 * [taylor]: Taking taylor expansion of -1 in k 1.823 * [taylor]: Taking taylor expansion of k in k 1.830 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.830 * [taylor]: Taking taylor expansion of 1.0 in k 1.831 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 1.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1.831 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.831 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.831 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.831 * [taylor]: Taking taylor expansion of -1 in k 1.831 * [taylor]: Taking taylor expansion of k in k 1.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.884 * * * [progress]: simplifying candidates 1.892 * [simplify]: Simplifying using # : (+ 1 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (+ 1 1) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (exp (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1)) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt 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(sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (+ (* (- 1.0) +nan.0) (- (* (* +nan.0 k) 1.0) (* (* +nan.0 (pow k 2)) 1.0))) (+ (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3)))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (* +nan.0 (/ (pow (sqrt 1.0) 2) k)))) (+ (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2)))) (- (* +nan.0 (pow (sqrt 1.0) 2)) (* +nan.0 (/ (pow (sqrt 1.0) 2) k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (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 (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 1.963 * * * [progress]: adding candidates to table 2.814 * * [progress]: iteration 3 / 4 2.814 * * * [progress]: picking best candidate 2.849 * * * * [pick]: Picked # 2.849 * * * [progress]: localizing error 2.864 * * * [progress]: generating rewritten candidates 2.864 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.878 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.887 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.894 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.904 * * * [progress]: generating series expansions 2.904 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.905 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.905 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.905 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.905 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.905 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.905 * [taylor]: Taking taylor expansion of 0.5 in k 2.905 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.905 * [taylor]: Taking taylor expansion of 1.0 in k 2.905 * [taylor]: Taking taylor expansion of k in k 2.905 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.905 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.905 * [taylor]: Taking taylor expansion of 2.0 in k 2.905 * [taylor]: Taking taylor expansion of (* n PI) in k 2.905 * [taylor]: Taking taylor expansion of n in k 2.905 * [taylor]: Taking taylor expansion of PI in k 2.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.906 * [taylor]: Taking taylor expansion of 0.5 in n 2.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.906 * [taylor]: Taking taylor expansion of 1.0 in n 2.906 * [taylor]: Taking taylor expansion of k in n 2.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.906 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.906 * [taylor]: Taking taylor expansion of 2.0 in n 2.906 * [taylor]: Taking taylor expansion of (* n PI) in n 2.906 * [taylor]: Taking taylor expansion of n in n 2.906 * [taylor]: Taking taylor expansion of PI in n 2.912 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.912 * [taylor]: Taking taylor expansion of 0.5 in n 2.912 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [taylor]: Taking taylor expansion of k in n 2.912 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.912 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.912 * [taylor]: Taking taylor expansion of 2.0 in n 2.912 * [taylor]: Taking taylor expansion of (* n PI) in n 2.912 * [taylor]: Taking taylor expansion of n in n 2.912 * [taylor]: Taking taylor expansion of PI in n 2.917 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.917 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.917 * [taylor]: Taking taylor expansion of 0.5 in k 2.917 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.917 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.917 * [taylor]: Taking taylor expansion of 1.0 in k 2.917 * [taylor]: Taking taylor expansion of k in k 2.917 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.917 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.917 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.917 * [taylor]: Taking taylor expansion of 2.0 in k 2.917 * [taylor]: Taking taylor expansion of PI in k 2.918 * [taylor]: Taking taylor expansion of (log n) in k 2.918 * [taylor]: Taking taylor expansion of n in k 2.928 * [taylor]: Taking taylor expansion of 0 in k 2.943 * [taylor]: Taking taylor expansion of 0 in k 2.967 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.967 * [taylor]: Taking taylor expansion of 0.5 in k 2.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.967 * [taylor]: Taking taylor expansion of 1.0 in k 2.967 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.967 * [taylor]: Taking taylor expansion of k in k 2.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.968 * [taylor]: Taking taylor expansion of 2.0 in k 2.968 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.968 * [taylor]: Taking taylor expansion of PI in k 2.968 * [taylor]: Taking taylor expansion of n in k 2.969 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.969 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.969 * [taylor]: Taking taylor expansion of 0.5 in n 2.969 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.969 * [taylor]: Taking taylor expansion of 1.0 in n 2.969 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.969 * [taylor]: Taking taylor expansion of k in n 2.969 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.969 * [taylor]: Taking taylor expansion of 2.0 in n 2.969 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.969 * [taylor]: Taking taylor expansion of PI in n 2.969 * [taylor]: Taking taylor expansion of n in n 2.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.973 * [taylor]: Taking taylor expansion of 0.5 in n 2.973 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.973 * [taylor]: Taking taylor expansion of 1.0 in n 2.973 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.973 * [taylor]: Taking taylor expansion of k in n 2.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.973 * [taylor]: Taking taylor expansion of 2.0 in n 2.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.973 * [taylor]: Taking taylor expansion of PI in n 2.973 * [taylor]: Taking taylor expansion of n in n 2.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.977 * [taylor]: Taking taylor expansion of 0.5 in k 2.977 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.977 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.977 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.977 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.977 * [taylor]: Taking taylor expansion of 2.0 in k 2.977 * [taylor]: Taking taylor expansion of PI in k 2.978 * [taylor]: Taking taylor expansion of (log n) in k 2.978 * [taylor]: Taking taylor expansion of n in k 2.978 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.978 * [taylor]: Taking taylor expansion of 1.0 in k 2.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.978 * [taylor]: Taking taylor expansion of k in k 2.987 * [taylor]: Taking taylor expansion of 0 in k 2.994 * [taylor]: Taking taylor expansion of 0 in k 3.003 * [taylor]: Taking taylor expansion of 0 in k 3.005 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.005 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.005 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.005 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.005 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.005 * [taylor]: Taking taylor expansion of 0.5 in k 3.005 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.005 * [taylor]: Taking taylor expansion of k in k 3.005 * [taylor]: Taking taylor expansion of 1.0 in k 3.005 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.005 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.005 * [taylor]: Taking taylor expansion of -2.0 in k 3.005 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.005 * [taylor]: Taking taylor expansion of PI in k 3.005 * [taylor]: Taking taylor expansion of n in k 3.006 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.006 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.006 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.006 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.006 * [taylor]: Taking taylor expansion of 0.5 in n 3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.006 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.006 * [taylor]: Taking taylor expansion of k in n 3.006 * [taylor]: Taking taylor expansion of 1.0 in n 3.006 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.006 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.006 * [taylor]: Taking taylor expansion of -2.0 in n 3.006 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.006 * [taylor]: Taking taylor expansion of PI in n 3.006 * [taylor]: Taking taylor expansion of n in n 3.010 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.010 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.010 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.010 * [taylor]: Taking taylor expansion of 0.5 in n 3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.010 * [taylor]: Taking taylor expansion of k in n 3.010 * [taylor]: Taking taylor expansion of 1.0 in n 3.010 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.010 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.010 * [taylor]: Taking taylor expansion of -2.0 in n 3.010 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.010 * [taylor]: Taking taylor expansion of PI in n 3.010 * [taylor]: Taking taylor expansion of n in n 3.014 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.014 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.014 * [taylor]: Taking taylor expansion of 0.5 in k 3.014 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.014 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.014 * [taylor]: Taking taylor expansion of k in k 3.014 * [taylor]: Taking taylor expansion of 1.0 in k 3.014 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.014 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.014 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.014 * [taylor]: Taking taylor expansion of -2.0 in k 3.014 * [taylor]: Taking taylor expansion of PI in k 3.015 * [taylor]: Taking taylor expansion of (log n) in k 3.015 * [taylor]: Taking taylor expansion of n in k 3.024 * [taylor]: Taking taylor expansion of 0 in k 3.031 * [taylor]: Taking taylor expansion of 0 in k 3.039 * [taylor]: Taking taylor expansion of 0 in k 3.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.040 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.041 * [taylor]: Taking taylor expansion of 0.5 in k 3.041 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.041 * [taylor]: Taking taylor expansion of 1.0 in k 3.041 * [taylor]: Taking taylor expansion of k in k 3.041 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.041 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.041 * [taylor]: Taking taylor expansion of 2.0 in k 3.041 * [taylor]: Taking taylor expansion of (* n PI) in k 3.041 * [taylor]: Taking taylor expansion of n in k 3.041 * [taylor]: Taking taylor expansion of PI in k 3.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.042 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.042 * [taylor]: Taking taylor expansion of 0.5 in n 3.042 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.042 * [taylor]: Taking taylor expansion of 1.0 in n 3.042 * [taylor]: Taking taylor expansion of k in n 3.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.042 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.042 * [taylor]: Taking taylor expansion of 2.0 in n 3.042 * [taylor]: Taking taylor expansion of (* n PI) in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.053 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.053 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.053 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.053 * [taylor]: Taking taylor expansion of 0.5 in n 3.053 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.053 * [taylor]: Taking taylor expansion of 1.0 in n 3.053 * [taylor]: Taking taylor expansion of k in n 3.053 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.053 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.053 * [taylor]: Taking taylor expansion of 2.0 in n 3.053 * [taylor]: Taking taylor expansion of (* n PI) in n 3.053 * [taylor]: Taking taylor expansion of n in n 3.053 * [taylor]: Taking taylor expansion of PI in n 3.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.058 * [taylor]: Taking taylor expansion of 0.5 in k 3.058 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.059 * [taylor]: Taking taylor expansion of 1.0 in k 3.059 * [taylor]: Taking taylor expansion of k in k 3.059 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.059 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.059 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.059 * [taylor]: Taking taylor expansion of 2.0 in k 3.059 * [taylor]: Taking taylor expansion of PI in k 3.060 * [taylor]: Taking taylor expansion of (log n) in k 3.060 * [taylor]: Taking taylor expansion of n in k 3.069 * [taylor]: Taking taylor expansion of 0 in k 3.085 * [taylor]: Taking taylor expansion of 0 in k 3.103 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.104 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.104 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.104 * [taylor]: Taking taylor expansion of 0.5 in k 3.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.104 * [taylor]: Taking taylor expansion of 1.0 in k 3.104 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.104 * [taylor]: Taking taylor expansion of k in k 3.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.104 * [taylor]: Taking taylor expansion of 2.0 in k 3.104 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.104 * [taylor]: Taking taylor expansion of PI in k 3.104 * [taylor]: Taking taylor expansion of n in k 3.105 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.105 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.105 * [taylor]: Taking taylor expansion of 0.5 in n 3.105 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.105 * [taylor]: Taking taylor expansion of 1.0 in n 3.105 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.105 * [taylor]: Taking taylor expansion of k in n 3.105 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.105 * [taylor]: Taking taylor expansion of 2.0 in n 3.105 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.105 * [taylor]: Taking taylor expansion of PI in n 3.105 * [taylor]: Taking taylor expansion of n in n 3.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.109 * [taylor]: Taking taylor expansion of 0.5 in n 3.109 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.109 * [taylor]: Taking taylor expansion of 1.0 in n 3.109 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.109 * [taylor]: Taking taylor expansion of k in n 3.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.109 * [taylor]: Taking taylor expansion of 2.0 in n 3.109 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.109 * [taylor]: Taking taylor expansion of PI in n 3.109 * [taylor]: Taking taylor expansion of n in n 3.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.113 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.113 * [taylor]: Taking taylor expansion of 0.5 in k 3.113 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.113 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.113 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.113 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.113 * [taylor]: Taking taylor expansion of 2.0 in k 3.113 * [taylor]: Taking taylor expansion of PI in k 3.114 * [taylor]: Taking taylor expansion of (log n) in k 3.114 * [taylor]: Taking taylor expansion of n in k 3.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.114 * [taylor]: Taking taylor expansion of 1.0 in k 3.114 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.114 * [taylor]: Taking taylor expansion of k in k 3.123 * [taylor]: Taking taylor expansion of 0 in k 3.131 * [taylor]: Taking taylor expansion of 0 in k 3.146 * [taylor]: Taking taylor expansion of 0 in k 3.147 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.147 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.147 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.147 * [taylor]: Taking taylor expansion of 0.5 in k 3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.147 * [taylor]: Taking taylor expansion of k in k 3.147 * [taylor]: Taking taylor expansion of 1.0 in k 3.147 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.148 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.148 * [taylor]: Taking taylor expansion of -2.0 in k 3.148 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.148 * [taylor]: Taking taylor expansion of PI in k 3.148 * [taylor]: Taking taylor expansion of n in k 3.148 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.148 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.148 * [taylor]: Taking taylor expansion of 0.5 in n 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.148 * [taylor]: Taking taylor expansion of k in n 3.149 * [taylor]: Taking taylor expansion of 1.0 in n 3.149 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.149 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.149 * [taylor]: Taking taylor expansion of -2.0 in n 3.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.149 * [taylor]: Taking taylor expansion of PI in n 3.149 * [taylor]: Taking taylor expansion of n in n 3.152 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.152 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.152 * [taylor]: Taking taylor expansion of 0.5 in n 3.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.152 * [taylor]: Taking taylor expansion of k in n 3.152 * [taylor]: Taking taylor expansion of 1.0 in n 3.152 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.152 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.152 * [taylor]: Taking taylor expansion of -2.0 in n 3.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.152 * [taylor]: Taking taylor expansion of PI in n 3.152 * [taylor]: Taking taylor expansion of n in n 3.156 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.156 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.156 * [taylor]: Taking taylor expansion of 0.5 in k 3.156 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.156 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.156 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.156 * [taylor]: Taking taylor expansion of k in k 3.156 * [taylor]: Taking taylor expansion of 1.0 in k 3.156 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.157 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.157 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.157 * [taylor]: Taking taylor expansion of -2.0 in k 3.157 * [taylor]: Taking taylor expansion of PI in k 3.157 * [taylor]: Taking taylor expansion of (log n) in k 3.158 * [taylor]: Taking taylor expansion of n in k 3.166 * [taylor]: Taking taylor expansion of 0 in k 3.173 * [taylor]: Taking taylor expansion of 0 in k 3.182 * [taylor]: Taking taylor expansion of 0 in k 3.183 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.183 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.183 * [taylor]: Taking taylor expansion of 2.0 in n 3.183 * [taylor]: Taking taylor expansion of (* n PI) in n 3.183 * [taylor]: Taking taylor expansion of n in n 3.183 * [taylor]: Taking taylor expansion of PI in n 3.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.183 * [taylor]: Taking taylor expansion of 2.0 in n 3.183 * [taylor]: Taking taylor expansion of (* n PI) in n 3.183 * [taylor]: Taking taylor expansion of n in n 3.183 * [taylor]: Taking taylor expansion of PI in n 3.195 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.195 * [taylor]: Taking taylor expansion of 2.0 in n 3.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.195 * [taylor]: Taking taylor expansion of PI in n 3.195 * [taylor]: Taking taylor expansion of n in n 3.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.196 * [taylor]: Taking taylor expansion of 2.0 in n 3.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.196 * [taylor]: Taking taylor expansion of PI in n 3.196 * [taylor]: Taking taylor expansion of n in n 3.204 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.204 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.204 * [taylor]: Taking taylor expansion of -2.0 in n 3.204 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.205 * [taylor]: Taking taylor expansion of PI in n 3.205 * [taylor]: Taking taylor expansion of n in n 3.205 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.205 * [taylor]: Taking taylor expansion of -2.0 in n 3.205 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.205 * [taylor]: Taking taylor expansion of PI in n 3.205 * [taylor]: Taking taylor expansion of n in n 3.213 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 3.214 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.214 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.214 * [taylor]: Taking taylor expansion of 2.0 in n 3.214 * [taylor]: Taking taylor expansion of (* n PI) in n 3.214 * [taylor]: Taking taylor expansion of n in n 3.214 * [taylor]: Taking taylor expansion of PI in n 3.214 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.214 * [taylor]: Taking taylor expansion of 2.0 in n 3.214 * [taylor]: Taking taylor expansion of (* n PI) in n 3.214 * [taylor]: Taking taylor expansion of n in n 3.214 * [taylor]: Taking taylor expansion of PI in n 3.232 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.232 * [taylor]: Taking taylor expansion of 2.0 in n 3.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.232 * [taylor]: Taking taylor expansion of PI in n 3.232 * [taylor]: Taking taylor expansion of n in n 3.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.232 * [taylor]: Taking taylor expansion of 2.0 in n 3.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.232 * [taylor]: Taking taylor expansion of PI in n 3.232 * [taylor]: Taking taylor expansion of n in n 3.241 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.241 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.241 * [taylor]: Taking taylor expansion of -2.0 in n 3.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.241 * [taylor]: Taking taylor expansion of PI in n 3.241 * [taylor]: Taking taylor expansion of n in n 3.241 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.241 * [taylor]: Taking taylor expansion of -2.0 in n 3.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.241 * [taylor]: Taking taylor expansion of PI in n 3.241 * [taylor]: Taking taylor expansion of n in n 3.250 * * * [progress]: simplifying candidates 3.252 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 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)) (* (* 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) (* (* 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)) 3.257 * * [simplify]: iteration 0 : 399 enodes (cost 798 ) 3.265 * * [simplify]: iteration 1 : 1625 enodes (cost 738 ) 3.296 * * [simplify]: iteration 2 : 5001 enodes (cost 694 ) 3.300 * [simplify]: Simplified to: (* (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)) (* (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)) (* (* 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) (* (* 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) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (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) 3.300 * * * [progress]: adding candidates to table 3.674 * * [progress]: iteration 4 / 4 3.674 * * * [progress]: picking best candidate 3.711 * * * * [pick]: Picked # 3.711 * * * [progress]: localizing error 3.739 * * * [progress]: generating rewritten candidates 3.739 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 3.739 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1 2) 3.740 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 1 1) 3.740 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1) 3.748 * * * [progress]: generating series expansions 3.748 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 3.748 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.748 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.748 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.748 * [taylor]: Taking taylor expansion of 1/3 in k 3.748 * [taylor]: Taking taylor expansion of (log k) in k 3.748 * [taylor]: Taking taylor expansion of k in k 3.749 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.749 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.749 * [taylor]: Taking taylor expansion of 1/3 in k 3.749 * [taylor]: Taking taylor expansion of (log k) in k 3.749 * [taylor]: Taking taylor expansion of k in k 3.801 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.801 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.801 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.801 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.801 * [taylor]: Taking taylor expansion of 1/3 in k 3.801 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.801 * [taylor]: Taking taylor expansion of k in k 3.802 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.802 * [taylor]: Taking taylor expansion of 1/3 in k 3.802 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.802 * [taylor]: Taking taylor expansion of k in k 3.859 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.859 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.859 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.859 * [taylor]: Taking taylor expansion of 1/3 in k 3.859 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.859 * [taylor]: Taking taylor expansion of k in k 3.860 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.860 * [taylor]: Taking taylor expansion of -1 in k 3.860 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.860 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.860 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.860 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.860 * [taylor]: Taking taylor expansion of 1/3 in k 3.861 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.861 * [taylor]: Taking taylor expansion of k in k 3.861 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.861 * [taylor]: Taking taylor expansion of -1 in k 3.919 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1 1 2) 3.919 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.919 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.919 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.919 * [taylor]: Taking taylor expansion of 1/3 in k 3.919 * [taylor]: Taking taylor expansion of (log k) in k 3.919 * [taylor]: Taking taylor expansion of k in k 3.920 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.920 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.920 * [taylor]: Taking taylor expansion of 1/3 in k 3.920 * [taylor]: Taking taylor expansion of (log k) in k 3.920 * [taylor]: Taking taylor expansion of k in k 3.973 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.973 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.973 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.973 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.973 * [taylor]: Taking taylor expansion of 1/3 in k 3.973 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.973 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.973 * [taylor]: Taking taylor expansion of k in k 3.974 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.974 * [taylor]: Taking taylor expansion of 1/3 in k 3.974 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.974 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.974 * [taylor]: Taking taylor expansion of k in k 4.030 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.030 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.030 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.030 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.030 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.030 * [taylor]: Taking taylor expansion of 1/3 in k 4.030 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.030 * [taylor]: Taking taylor expansion of k in k 4.031 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.031 * [taylor]: Taking taylor expansion of -1 in k 4.032 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.032 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.032 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.032 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.032 * [taylor]: Taking taylor expansion of 1/3 in k 4.032 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.032 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.032 * [taylor]: Taking taylor expansion of k in k 4.033 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.033 * [taylor]: Taking taylor expansion of -1 in k 4.097 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1 1 1) 4.098 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 4.098 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.098 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.098 * [taylor]: Taking taylor expansion of 1/3 in k 4.098 * [taylor]: Taking taylor expansion of (log k) in k 4.098 * [taylor]: Taking taylor expansion of k in k 4.098 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.098 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.098 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.098 * [taylor]: Taking taylor expansion of 1/3 in k 4.098 * [taylor]: Taking taylor expansion of (log k) in k 4.098 * [taylor]: Taking taylor expansion of k in k 4.145 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 4.145 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.145 * [taylor]: Taking taylor expansion of 1/3 in k 4.145 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.145 * [taylor]: Taking taylor expansion of k in k 4.146 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.146 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.146 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.146 * [taylor]: Taking taylor expansion of 1/3 in k 4.146 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.146 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.146 * [taylor]: Taking taylor expansion of k in k 4.332 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.332 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.332 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.332 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.332 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.332 * [taylor]: Taking taylor expansion of 1/3 in k 4.332 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.332 * [taylor]: Taking taylor expansion of k in k 4.333 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.333 * [taylor]: Taking taylor expansion of -1 in k 4.334 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.334 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.334 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.334 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.334 * [taylor]: Taking taylor expansion of 1/3 in k 4.334 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.334 * [taylor]: Taking taylor expansion of k in k 4.335 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.335 * [taylor]: Taking taylor expansion of -1 in k 4.398 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1) 4.398 * [approximate]: Taking taylor expansion of (pow (pow k 2) 1/3) in (k) around 0 4.398 * [taylor]: Taking taylor expansion of (pow (pow k 2) 1/3) in k 4.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow k 2)))) in k 4.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow k 2))) in k 4.398 * [taylor]: Taking taylor expansion of 1/3 in k 4.398 * [taylor]: Taking taylor expansion of (log (pow k 2)) in k 4.398 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.398 * [taylor]: Taking taylor expansion of k in k 4.399 * [taylor]: Taking taylor expansion of (pow (pow k 2) 1/3) in k 4.399 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow k 2)))) in k 4.399 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow k 2))) in k 4.399 * [taylor]: Taking taylor expansion of 1/3 in k 4.399 * [taylor]: Taking taylor expansion of (log (pow k 2)) in k 4.399 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.399 * [taylor]: Taking taylor expansion of k in k 4.453 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in (k) around 0 4.453 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.453 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.453 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.453 * [taylor]: Taking taylor expansion of 1/3 in k 4.453 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.453 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.453 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.453 * [taylor]: Taking taylor expansion of k in k 4.454 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.454 * [taylor]: Taking taylor expansion of 1/3 in k 4.454 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.454 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.454 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.454 * [taylor]: Taking taylor expansion of k in k 4.511 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in (k) around 0 4.511 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in k 4.511 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.511 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.511 * [taylor]: Taking taylor expansion of 1/3 in k 4.511 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.511 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.511 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.511 * [taylor]: Taking taylor expansion of k in k 4.512 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in k 4.512 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.512 * [taylor]: Taking taylor expansion of -1 in k 4.513 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in k 4.513 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.513 * [taylor]: Taking taylor expansion of 1/3 in k 4.513 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.513 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.513 * [taylor]: Taking taylor expansion of k in k 4.514 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in k 4.514 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.514 * [taylor]: Taking taylor expansion of -1 in k 4.586 * * * [progress]: simplifying candidates 4.588 * [simplify]: Simplifying using # : (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (+ 1/3 1/3) (+ 1 1) (* k k) (* (cbrt k) (cbrt k)) (+ 1 1) (+ (log (cbrt k)) (log (cbrt k))) (log (* (cbrt k) (cbrt k))) (exp (* (cbrt k) (cbrt k))) (* k k) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (cbrt (* (cbrt k) (cbrt k))) (* (* (* (cbrt k) (cbrt k)) (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))) (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt 1) (cbrt 1)) (* (cbrt k) (cbrt k)) (* (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (cbrt k)) (cbrt (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* 1 1) (* (cbrt k) (cbrt k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (cbrt (sqrt k))) (* (sqrt (cbrt k)) (cbrt (sqrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* 2 1/3) (* 2 1) (* (cbrt k) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt k) (cbrt (sqrt k))) (* (cbrt k) (cbrt 1)) (* (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k)))) (* (cbrt k) (sqrt (cbrt k))) (* (cbrt k) 1) (* (cbrt (cbrt k)) (cbrt k)) (* (cbrt (sqrt k)) (cbrt k)) (* (cbrt k) (cbrt k)) (* (cbrt (cbrt k)) (cbrt k)) (* (sqrt (cbrt k)) (cbrt k)) (* (cbrt k) (cbrt k)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 2/3) (pow (/ 1 k) -2/3) (* (pow (pow k 2) 1/3) (pow (cbrt -1) 2)) 4.592 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 4.595 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 4.608 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 4.672 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 4.674 * [simplify]: Simplified to: (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) 2/3 2 (pow k 2) (pow k 2/3) 2 (* 2/3 (log k)) (* 2/3 (log k)) (exp (pow k 2/3)) (pow k 2) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (cbrt (* (cbrt k) (cbrt k))) (pow k 2) (fabs (pow k 1/3)) (fabs (pow k 1/3)) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1 (pow k 2/3) (pow (cbrt (cbrt k)) 4) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (pow k 1/3) (pow k 1/3) 1 (pow k 2/3) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (pow k 1/3) (pow k 1/3) 2/3 2 (* (cbrt k) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt k) (cbrt (sqrt k))) (pow k 1/3) (pow (cbrt (cbrt k)) 5) (pow (sqrt (cbrt k)) 3) (pow k 1/3) (pow (cbrt (cbrt k)) 4) (* (cbrt k) (cbrt (sqrt k))) (pow k 2/3) (pow (cbrt (cbrt k)) 4) (pow (sqrt (cbrt k)) 3) (pow k 2/3) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 2/3) (pow (/ 1 k) -2/3) (* (pow (pow k 2) 1/3) (pow (cbrt -1) 2)) 4.675 * * * [progress]: adding candidates to table 5.121 * [progress]: [Phase 3 of 3] Extracting. 5.121 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.128 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.128 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.182 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.236 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.288 * * * [regime]: Found split indices: #