13.530 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.075 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.077 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.078 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.081 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.088 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.110 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.110 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.111 * * [progress]: iteration 1 / 4 0.111 * * * [progress]: picking best candidate 0.113 * * * * [pick]: Picked # 0.113 * * * [progress]: localizing error 0.127 * * * [progress]: generating rewritten candidates 0.127 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.142 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.172 * * * [progress]: generating series expansions 0.172 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.172 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.172 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.172 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.172 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.173 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.173 * [taylor]: Taking taylor expansion of 0.5 in k 0.173 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.173 * [taylor]: Taking taylor expansion of 1.0 in k 0.173 * [taylor]: Taking taylor expansion of k in k 0.173 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.173 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.173 * [taylor]: Taking taylor expansion of 2.0 in k 0.173 * [taylor]: Taking taylor expansion of (* n PI) in k 0.173 * [taylor]: Taking taylor expansion of n in k 0.173 * [taylor]: Taking taylor expansion of PI in k 0.174 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.174 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.174 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.174 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.174 * [taylor]: Taking taylor expansion of 0.5 in n 0.174 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.174 * [taylor]: Taking taylor expansion of 1.0 in n 0.174 * [taylor]: Taking taylor expansion of k in n 0.174 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.174 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.174 * [taylor]: Taking taylor expansion of 2.0 in n 0.174 * [taylor]: Taking taylor expansion of (* n PI) in n 0.174 * [taylor]: Taking taylor expansion of n in n 0.174 * [taylor]: Taking taylor expansion of PI in n 0.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.180 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.180 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.180 * [taylor]: Taking taylor expansion of 0.5 in n 0.180 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.180 * [taylor]: Taking taylor expansion of 1.0 in n 0.180 * [taylor]: Taking taylor expansion of k in n 0.180 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.180 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.180 * [taylor]: Taking taylor expansion of 2.0 in n 0.180 * [taylor]: Taking taylor expansion of (* n PI) in n 0.180 * [taylor]: Taking taylor expansion of n in n 0.180 * [taylor]: Taking taylor expansion of PI in n 0.186 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.186 * [taylor]: Taking taylor expansion of 0.5 in k 0.186 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.186 * [taylor]: Taking taylor expansion of 1.0 in k 0.186 * [taylor]: Taking taylor expansion of k in k 0.186 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.186 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.186 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.186 * [taylor]: Taking taylor expansion of 2.0 in k 0.186 * [taylor]: Taking taylor expansion of PI in k 0.187 * [taylor]: Taking taylor expansion of (log n) in k 0.187 * [taylor]: Taking taylor expansion of n in k 0.196 * [taylor]: Taking taylor expansion of 0 in k 0.213 * [taylor]: Taking taylor expansion of 0 in k 0.237 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.237 * [taylor]: Taking taylor expansion of 0.5 in k 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.237 * [taylor]: Taking taylor expansion of PI in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.238 * [taylor]: Taking taylor expansion of 0.5 in n 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.238 * [taylor]: Taking taylor expansion of 1.0 in n 0.239 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.239 * [taylor]: Taking taylor expansion of k in n 0.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.239 * [taylor]: Taking taylor expansion of 2.0 in n 0.239 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.239 * [taylor]: Taking taylor expansion of PI in n 0.239 * [taylor]: Taking taylor expansion of n in n 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 0.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.243 * [taylor]: Taking taylor expansion of 2.0 in n 0.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.243 * [taylor]: Taking taylor expansion of PI in n 0.243 * [taylor]: Taking taylor expansion of n in n 0.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.246 * [taylor]: Taking taylor expansion of 0.5 in k 0.246 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.246 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.246 * [taylor]: Taking taylor expansion of 2.0 in k 0.247 * [taylor]: Taking taylor expansion of PI in k 0.247 * [taylor]: Taking taylor expansion of (log n) in k 0.247 * [taylor]: Taking taylor expansion of n in k 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.248 * [taylor]: Taking taylor expansion of 1.0 in k 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.248 * [taylor]: Taking taylor expansion of k in k 0.257 * [taylor]: Taking taylor expansion of 0 in k 0.264 * [taylor]: Taking taylor expansion of 0 in k 0.274 * [taylor]: Taking taylor expansion of 0 in k 0.275 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.275 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.275 * [taylor]: Taking taylor expansion of 0.5 in k 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.275 * [taylor]: Taking taylor expansion of k in k 0.276 * [taylor]: Taking taylor expansion of 1.0 in k 0.276 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.276 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.276 * [taylor]: Taking taylor expansion of -2.0 in k 0.276 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.276 * [taylor]: Taking taylor expansion of PI in k 0.276 * [taylor]: Taking taylor expansion of n in k 0.276 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.277 * [taylor]: Taking taylor expansion of 0.5 in n 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.277 * [taylor]: Taking taylor expansion of k in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.277 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.277 * [taylor]: Taking taylor expansion of -2.0 in n 0.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.277 * [taylor]: Taking taylor expansion of PI in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.281 * [taylor]: Taking taylor expansion of 0.5 in n 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.281 * [taylor]: Taking taylor expansion of k in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of -2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.285 * [taylor]: Taking taylor expansion of 0.5 in k 0.285 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.285 * [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)) (log n)) in k 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.285 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.285 * [taylor]: Taking taylor expansion of -2.0 in k 0.285 * [taylor]: Taking taylor expansion of PI in k 0.286 * [taylor]: Taking taylor expansion of (log n) in k 0.286 * [taylor]: Taking taylor expansion of n in k 0.295 * [taylor]: Taking taylor expansion of 0 in k 0.302 * [taylor]: Taking taylor expansion of 0 in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.312 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.312 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.312 * [taylor]: Taking taylor expansion of 2.0 in n 0.312 * [taylor]: Taking taylor expansion of (* n PI) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of PI in n 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.312 * [taylor]: Taking taylor expansion of 2.0 in n 0.312 * [taylor]: Taking taylor expansion of (* n PI) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of PI in n 0.330 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.330 * [taylor]: Taking taylor expansion of 2.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.330 * [taylor]: Taking taylor expansion of 2.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.339 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.339 * [taylor]: Taking taylor expansion of -2.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.339 * [taylor]: Taking taylor expansion of PI in n 0.339 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of -2.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.348 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.361 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.373 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.373 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.373 * [taylor]: Taking taylor expansion of 1.0 in k 0.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.373 * [taylor]: Taking taylor expansion of -1 in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.375 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.375 * [taylor]: Taking taylor expansion of -1 in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.387 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.388 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.388 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.388 * [taylor]: Taking taylor expansion of 0.5 in n 0.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.388 * [taylor]: Taking taylor expansion of 1.0 in n 0.388 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.388 * [taylor]: Taking taylor expansion of 2.0 in n 0.388 * [taylor]: Taking taylor expansion of (* n PI) in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.394 * [taylor]: Taking taylor expansion of k in k 0.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.395 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.395 * [taylor]: Taking taylor expansion of 0.5 in k 0.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.395 * [taylor]: Taking taylor expansion of 1.0 in k 0.395 * [taylor]: Taking taylor expansion of k in k 0.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.395 * [taylor]: Taking taylor expansion of 2.0 in k 0.395 * [taylor]: Taking taylor expansion of (* n PI) in k 0.395 * [taylor]: Taking taylor expansion of n in k 0.395 * [taylor]: Taking taylor expansion of PI in k 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.398 * [taylor]: Taking taylor expansion of 0.5 in k 0.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.398 * [taylor]: Taking taylor expansion of 1.0 in k 0.398 * [taylor]: Taking taylor expansion of k in k 0.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.398 * [taylor]: Taking taylor expansion of 2.0 in k 0.398 * [taylor]: Taking taylor expansion of (* n PI) in k 0.398 * [taylor]: Taking taylor expansion of n in k 0.398 * [taylor]: Taking taylor expansion of PI in k 0.399 * [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 0.432 * [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 0.432 * [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 0.432 * [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 0.432 * [taylor]: Taking taylor expansion of +nan.0 in n 0.432 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.432 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.432 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log PI) in n 0.433 * [taylor]: Taking taylor expansion of PI in n 0.434 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.434 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.435 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [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 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of +nan.0 in n 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.441 * [taylor]: Taking taylor expansion of 0.5 in n 0.441 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.441 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.441 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.441 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.441 * [taylor]: Taking taylor expansion of 2.0 in n 0.443 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log PI) in n 0.443 * [taylor]: Taking taylor expansion of PI in n 0.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log n) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.449 * [taylor]: Taking taylor expansion of 2.0 in n 0.449 * [taylor]: Taking taylor expansion of (* n PI) in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.505 * [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 0.505 * [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 0.505 * [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 0.505 * [taylor]: Taking taylor expansion of +nan.0 in n 0.505 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.505 * [taylor]: Taking taylor expansion of 0.5 in n 0.505 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.505 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.505 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log n) in n 0.507 * [taylor]: Taking taylor expansion of n in n 0.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (log PI) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.513 * [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 0.513 * [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 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of +nan.0 in n 0.513 * [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 0.513 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.513 * [taylor]: Taking taylor expansion of 0.5 in n 0.513 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.513 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.514 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.515 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log PI) in n 0.515 * [taylor]: Taking taylor expansion of PI in n 0.517 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log n) in n 0.517 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.522 * [taylor]: Taking taylor expansion of 2.0 in n 0.522 * [taylor]: Taking taylor expansion of (* n PI) in n 0.522 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of PI in n 0.525 * [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 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of +nan.0 in n 0.525 * [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 0.525 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.525 * [taylor]: Taking taylor expansion of 0.5 in n 0.525 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.525 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log PI) in n 0.527 * [taylor]: Taking taylor expansion of PI in n 0.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log n) in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.533 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.533 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.533 * [taylor]: Taking taylor expansion of 2.0 in n 0.533 * [taylor]: Taking taylor expansion of (* n PI) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.533 * [taylor]: Taking taylor expansion of PI in n 0.611 * [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 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.611 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.616 * [taylor]: Taking taylor expansion of 1.0 in k 0.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.616 * [taylor]: Taking taylor expansion of k in k 0.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.617 * [taylor]: Taking taylor expansion of 0.5 in k 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.617 * [taylor]: Taking taylor expansion of 1.0 in k 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.617 * [taylor]: Taking taylor expansion of k in k 0.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.618 * [taylor]: Taking taylor expansion of 2.0 in k 0.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.618 * [taylor]: Taking taylor expansion of PI in k 0.618 * [taylor]: Taking taylor expansion of n in k 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.619 * [taylor]: Taking taylor expansion of 1.0 in k 0.619 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.619 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.619 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.620 * [taylor]: Taking taylor expansion of 0.5 in k 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.620 * [taylor]: Taking taylor expansion of 1.0 in k 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.620 * [taylor]: Taking taylor expansion of 2.0 in k 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.620 * [taylor]: Taking taylor expansion of PI in k 0.620 * [taylor]: Taking taylor expansion of n in k 0.622 * [taylor]: Taking taylor expansion of 0 in n 0.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.623 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.623 * [taylor]: Taking taylor expansion of +nan.0 in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.624 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.625 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.634 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.634 * [taylor]: Taking taylor expansion of +nan.0 in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.652 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.652 * [taylor]: Taking taylor expansion of +nan.0 in n 0.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.654 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.654 * [taylor]: Taking taylor expansion of k in n 0.663 * [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 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.663 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.663 * [taylor]: Taking taylor expansion of 0.5 in n 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.663 * [taylor]: Taking taylor expansion of 1.0 in n 0.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.663 * [taylor]: Taking taylor expansion of -2.0 in n 0.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.663 * [taylor]: Taking taylor expansion of PI in n 0.663 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.667 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.667 * [taylor]: Taking taylor expansion of -1 in n 0.667 * [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 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.668 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.668 * [taylor]: Taking taylor expansion of 0.5 in k 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.668 * [taylor]: Taking taylor expansion of k in k 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.668 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.668 * [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 0.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.669 * [taylor]: Taking taylor expansion of -1 in k 0.669 * [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 0.671 * [taylor]: Taking taylor expansion of 1.0 in k 0.671 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.671 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.671 * [taylor]: Taking taylor expansion of -2.0 in k 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.671 * [taylor]: Taking taylor expansion of PI in k 0.671 * [taylor]: Taking taylor expansion of n in k 0.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.672 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.672 * [taylor]: Taking taylor expansion of -1 in k 0.672 * [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 0.674 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.689 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.689 * [taylor]: Taking taylor expansion of +nan.0 in n 0.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.690 * [taylor]: Taking taylor expansion of 0.5 in n 0.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.690 * [taylor]: Taking taylor expansion of -2.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.708 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.708 * [taylor]: Taking taylor expansion of +nan.0 in n 0.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.708 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.708 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.708 * [taylor]: Taking taylor expansion of k in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.708 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.708 * [taylor]: Taking taylor expansion of -2.0 in n 0.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.708 * [taylor]: Taking taylor expansion of PI in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.718 * * * [progress]: simplifying candidates 0.721 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.819 * * * [progress]: adding candidates to table 1.282 * * [progress]: iteration 2 / 4 1.282 * * * [progress]: picking best candidate 1.304 * * * * [pick]: Picked # 1.304 * * * [progress]: localizing error 1.325 * * * [progress]: generating rewritten candidates 1.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.338 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.366 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.385 * * * [progress]: generating series expansions 1.385 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.386 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.386 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.386 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.386 * [taylor]: Taking taylor expansion of 0.25 in k 1.386 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.386 * [taylor]: Taking taylor expansion of 1.0 in k 1.386 * [taylor]: Taking taylor expansion of k in k 1.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.386 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.386 * [taylor]: Taking taylor expansion of 2.0 in k 1.386 * [taylor]: Taking taylor expansion of (* n PI) in k 1.386 * [taylor]: Taking taylor expansion of n in k 1.386 * [taylor]: Taking taylor expansion of PI in k 1.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.387 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.387 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.388 * [taylor]: Taking taylor expansion of 0.25 in n 1.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.388 * [taylor]: Taking taylor expansion of 1.0 in n 1.388 * [taylor]: Taking taylor expansion of k in n 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.399 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.399 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.399 * [taylor]: Taking taylor expansion of 0.25 in n 1.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.400 * [taylor]: Taking taylor expansion of 1.0 in n 1.400 * [taylor]: Taking taylor expansion of k in n 1.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.400 * [taylor]: Taking taylor expansion of 2.0 in n 1.400 * [taylor]: Taking taylor expansion of (* n PI) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.405 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.405 * [taylor]: Taking taylor expansion of 0.25 in k 1.405 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [taylor]: Taking taylor expansion of k in k 1.405 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.405 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.405 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.405 * [taylor]: Taking taylor expansion of 2.0 in k 1.405 * [taylor]: Taking taylor expansion of PI in k 1.406 * [taylor]: Taking taylor expansion of (log n) in k 1.406 * [taylor]: Taking taylor expansion of n in k 1.416 * [taylor]: Taking taylor expansion of 0 in k 1.433 * [taylor]: Taking taylor expansion of 0 in k 1.452 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.452 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.452 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.452 * [taylor]: Taking taylor expansion of 0.25 in k 1.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.453 * [taylor]: Taking taylor expansion of 2.0 in k 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.453 * [taylor]: Taking taylor expansion of PI in k 1.453 * [taylor]: Taking taylor expansion of n in k 1.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.454 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.454 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.454 * [taylor]: Taking taylor expansion of 0.25 in n 1.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.454 * [taylor]: Taking taylor expansion of 1.0 in n 1.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.454 * [taylor]: Taking taylor expansion of k in n 1.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.454 * [taylor]: Taking taylor expansion of 2.0 in n 1.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.454 * [taylor]: Taking taylor expansion of PI in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.458 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.458 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.458 * [taylor]: Taking taylor expansion of 0.25 in n 1.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.458 * [taylor]: Taking taylor expansion of 1.0 in n 1.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.458 * [taylor]: Taking taylor expansion of k in n 1.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.458 * [taylor]: Taking taylor expansion of 2.0 in n 1.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.458 * [taylor]: Taking taylor expansion of PI in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.462 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.462 * [taylor]: Taking taylor expansion of 0.25 in k 1.462 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.462 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.462 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.462 * [taylor]: Taking taylor expansion of 2.0 in k 1.462 * [taylor]: Taking taylor expansion of PI in k 1.463 * [taylor]: Taking taylor expansion of (log n) in k 1.463 * [taylor]: Taking taylor expansion of n in k 1.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.463 * [taylor]: Taking taylor expansion of k in k 1.473 * [taylor]: Taking taylor expansion of 0 in k 1.481 * [taylor]: Taking taylor expansion of 0 in k 1.495 * [taylor]: Taking taylor expansion of 0 in k 1.497 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.497 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.497 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.497 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.497 * [taylor]: Taking taylor expansion of 0.25 in k 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.497 * [taylor]: Taking taylor expansion of k in k 1.497 * [taylor]: Taking taylor expansion of 1.0 in k 1.497 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.497 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.497 * [taylor]: Taking taylor expansion of -2.0 in k 1.497 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.497 * [taylor]: Taking taylor expansion of PI in k 1.497 * [taylor]: Taking taylor expansion of n in k 1.498 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.498 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.498 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.498 * [taylor]: Taking taylor expansion of 0.25 in n 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.498 * [taylor]: Taking taylor expansion of k in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.498 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.498 * [taylor]: Taking taylor expansion of -2.0 in n 1.498 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.498 * [taylor]: Taking taylor expansion of PI in n 1.498 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.502 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.502 * [taylor]: Taking taylor expansion of 0.25 in n 1.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.502 * [taylor]: Taking taylor expansion of k in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.502 * [taylor]: Taking taylor expansion of -2.0 in n 1.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.502 * [taylor]: Taking taylor expansion of PI in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.506 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.506 * [taylor]: Taking taylor expansion of 0.25 in k 1.506 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.506 * [taylor]: Taking taylor expansion of k in k 1.506 * [taylor]: Taking taylor expansion of 1.0 in k 1.506 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.506 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.507 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.507 * [taylor]: Taking taylor expansion of -2.0 in k 1.507 * [taylor]: Taking taylor expansion of PI in k 1.507 * [taylor]: Taking taylor expansion of (log n) in k 1.508 * [taylor]: Taking taylor expansion of n in k 1.517 * [taylor]: Taking taylor expansion of 0 in k 1.524 * [taylor]: Taking taylor expansion of 0 in k 1.533 * [taylor]: Taking taylor expansion of 0 in k 1.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.534 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.535 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.535 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.535 * [taylor]: Taking taylor expansion of 0.25 in k 1.535 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.535 * [taylor]: Taking taylor expansion of 1.0 in k 1.535 * [taylor]: Taking taylor expansion of k in k 1.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.535 * [taylor]: Taking taylor expansion of 2.0 in k 1.535 * [taylor]: Taking taylor expansion of (* n PI) in k 1.535 * [taylor]: Taking taylor expansion of n in k 1.535 * [taylor]: Taking taylor expansion of PI in k 1.536 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.536 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.536 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.536 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.536 * [taylor]: Taking taylor expansion of 0.25 in n 1.536 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.536 * [taylor]: Taking taylor expansion of 1.0 in n 1.536 * [taylor]: Taking taylor expansion of k in n 1.536 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.536 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.536 * [taylor]: Taking taylor expansion of 2.0 in n 1.536 * [taylor]: Taking taylor expansion of (* n PI) in n 1.536 * [taylor]: Taking taylor expansion of n in n 1.536 * [taylor]: Taking taylor expansion of PI in n 1.541 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.541 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.542 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.542 * [taylor]: Taking taylor expansion of 0.25 in n 1.542 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.542 * [taylor]: Taking taylor expansion of 1.0 in n 1.542 * [taylor]: Taking taylor expansion of k in n 1.542 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.542 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.542 * [taylor]: Taking taylor expansion of 2.0 in n 1.542 * [taylor]: Taking taylor expansion of (* n PI) in n 1.542 * [taylor]: Taking taylor expansion of n in n 1.542 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.547 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.547 * [taylor]: Taking taylor expansion of 0.25 in k 1.547 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.547 * [taylor]: Taking taylor expansion of 1.0 in k 1.547 * [taylor]: Taking taylor expansion of k in k 1.547 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.547 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.547 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.547 * [taylor]: Taking taylor expansion of 2.0 in k 1.547 * [taylor]: Taking taylor expansion of PI in k 1.548 * [taylor]: Taking taylor expansion of (log n) in k 1.548 * [taylor]: Taking taylor expansion of n in k 1.558 * [taylor]: Taking taylor expansion of 0 in k 1.581 * [taylor]: Taking taylor expansion of 0 in k 1.601 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.601 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.601 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.601 * [taylor]: Taking taylor expansion of 0.25 in k 1.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.601 * [taylor]: Taking taylor expansion of 1.0 in k 1.601 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.601 * [taylor]: Taking taylor expansion of k in k 1.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.602 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.602 * [taylor]: Taking taylor expansion of 2.0 in k 1.602 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.602 * [taylor]: Taking taylor expansion of PI in k 1.602 * [taylor]: Taking taylor expansion of n in k 1.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.603 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.603 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.603 * [taylor]: Taking taylor expansion of 0.25 in n 1.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.603 * [taylor]: Taking taylor expansion of 1.0 in n 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.603 * [taylor]: Taking taylor expansion of k in n 1.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.603 * [taylor]: Taking taylor expansion of 2.0 in n 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.607 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.607 * [taylor]: Taking taylor expansion of 0.25 in n 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.611 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.611 * [taylor]: Taking taylor expansion of 0.25 in k 1.611 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.611 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.611 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.611 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.611 * [taylor]: Taking taylor expansion of 2.0 in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.612 * [taylor]: Taking taylor expansion of (log n) in k 1.612 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.612 * [taylor]: Taking taylor expansion of 1.0 in k 1.612 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.612 * [taylor]: Taking taylor expansion of k in k 1.622 * [taylor]: Taking taylor expansion of 0 in k 1.629 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.640 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.640 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.640 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.640 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.640 * [taylor]: Taking taylor expansion of 0.25 in k 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.640 * [taylor]: Taking taylor expansion of k in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.641 * [taylor]: Taking taylor expansion of -2.0 in k 1.641 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.641 * [taylor]: Taking taylor expansion of PI in k 1.641 * [taylor]: Taking taylor expansion of n in k 1.641 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.641 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.641 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.641 * [taylor]: Taking taylor expansion of 0.25 in n 1.641 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.642 * [taylor]: Taking taylor expansion of k in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.642 * [taylor]: Taking taylor expansion of -2.0 in n 1.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.646 * [taylor]: Taking taylor expansion of 0.25 in n 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.646 * [taylor]: Taking taylor expansion of k in n 1.646 * [taylor]: Taking taylor expansion of 1.0 in n 1.646 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.646 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.646 * [taylor]: Taking taylor expansion of -2.0 in n 1.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.646 * [taylor]: Taking taylor expansion of PI in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.649 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.649 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.650 * [taylor]: Taking taylor expansion of 0.25 in k 1.650 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.650 * [taylor]: Taking taylor expansion of k in k 1.650 * [taylor]: Taking taylor expansion of 1.0 in k 1.650 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.650 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.650 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.650 * [taylor]: Taking taylor expansion of -2.0 in k 1.650 * [taylor]: Taking taylor expansion of PI in k 1.651 * [taylor]: Taking taylor expansion of (log n) in k 1.651 * [taylor]: Taking taylor expansion of n in k 1.660 * [taylor]: Taking taylor expansion of 0 in k 1.674 * [taylor]: Taking taylor expansion of 0 in k 1.683 * [taylor]: Taking taylor expansion of 0 in k 1.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.685 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.685 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.685 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.685 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.685 * [taylor]: Taking taylor expansion of 0.25 in k 1.685 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.685 * [taylor]: Taking taylor expansion of 1.0 in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.685 * [taylor]: Taking taylor expansion of 2.0 in k 1.685 * [taylor]: Taking taylor expansion of (* n PI) in k 1.685 * [taylor]: Taking taylor expansion of n in k 1.685 * [taylor]: Taking taylor expansion of PI in k 1.686 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.686 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.686 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.686 * [taylor]: Taking taylor expansion of 0.25 in n 1.686 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.686 * [taylor]: Taking taylor expansion of 1.0 in n 1.686 * [taylor]: Taking taylor expansion of k in n 1.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.686 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.686 * [taylor]: Taking taylor expansion of 2.0 in n 1.686 * [taylor]: Taking taylor expansion of (* n PI) in n 1.686 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of PI in n 1.692 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.692 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.692 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.692 * [taylor]: Taking taylor expansion of 0.25 in n 1.692 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.692 * [taylor]: Taking taylor expansion of 1.0 in n 1.692 * [taylor]: Taking taylor expansion of k in n 1.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.692 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.692 * [taylor]: Taking taylor expansion of 2.0 in n 1.692 * [taylor]: Taking taylor expansion of (* n PI) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.692 * [taylor]: Taking taylor expansion of PI in n 1.699 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.699 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.699 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.699 * [taylor]: Taking taylor expansion of 0.25 in k 1.699 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.699 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.699 * [taylor]: Taking taylor expansion of 1.0 in k 1.700 * [taylor]: Taking taylor expansion of k in k 1.700 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.700 * [taylor]: Taking taylor expansion of 2.0 in k 1.700 * [taylor]: Taking taylor expansion of PI in k 1.701 * [taylor]: Taking taylor expansion of (log n) in k 1.701 * [taylor]: Taking taylor expansion of n in k 1.713 * [taylor]: Taking taylor expansion of 0 in k 1.737 * [taylor]: Taking taylor expansion of 0 in k 1.779 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.779 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.779 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.779 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.779 * [taylor]: Taking taylor expansion of 0.25 in k 1.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.779 * [taylor]: Taking taylor expansion of 1.0 in k 1.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.779 * [taylor]: Taking taylor expansion of k in k 1.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.779 * [taylor]: Taking taylor expansion of 2.0 in k 1.779 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.779 * [taylor]: Taking taylor expansion of PI in k 1.779 * [taylor]: Taking taylor expansion of n in k 1.780 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.780 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.780 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.780 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.780 * [taylor]: Taking taylor expansion of 0.25 in n 1.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.780 * [taylor]: Taking taylor expansion of 1.0 in n 1.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.781 * [taylor]: Taking taylor expansion of k in n 1.781 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.781 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.781 * [taylor]: Taking taylor expansion of 2.0 in n 1.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.781 * [taylor]: Taking taylor expansion of PI in n 1.781 * [taylor]: Taking taylor expansion of n in n 1.784 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.784 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.784 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.784 * [taylor]: Taking taylor expansion of 0.25 in n 1.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.785 * [taylor]: Taking taylor expansion of 1.0 in n 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.785 * [taylor]: Taking taylor expansion of k in n 1.785 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.785 * [taylor]: Taking taylor expansion of 2.0 in n 1.785 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.785 * [taylor]: Taking taylor expansion of PI in n 1.785 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.790 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.790 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.790 * [taylor]: Taking taylor expansion of 0.25 in k 1.790 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.790 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.790 * [taylor]: Taking taylor expansion of 2.0 in k 1.790 * [taylor]: Taking taylor expansion of PI in k 1.791 * [taylor]: Taking taylor expansion of (log n) in k 1.791 * [taylor]: Taking taylor expansion of n in k 1.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.791 * [taylor]: Taking taylor expansion of 1.0 in k 1.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.791 * [taylor]: Taking taylor expansion of k in k 1.804 * [taylor]: Taking taylor expansion of 0 in k 1.815 * [taylor]: Taking taylor expansion of 0 in k 1.828 * [taylor]: Taking taylor expansion of 0 in k 1.830 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.830 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.830 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.830 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.830 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.830 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.830 * [taylor]: Taking taylor expansion of 0.25 in k 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.830 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.830 * [taylor]: Taking taylor expansion of k in k 1.830 * [taylor]: Taking taylor expansion of 1.0 in k 1.830 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.830 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.830 * [taylor]: Taking taylor expansion of -2.0 in k 1.830 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.830 * [taylor]: Taking taylor expansion of PI in k 1.830 * [taylor]: Taking taylor expansion of n in k 1.831 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.831 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.831 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.831 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.831 * [taylor]: Taking taylor expansion of 0.25 in n 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.831 * [taylor]: Taking taylor expansion of k in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.832 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.832 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.832 * [taylor]: Taking taylor expansion of -2.0 in n 1.832 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.832 * [taylor]: Taking taylor expansion of PI in n 1.832 * [taylor]: Taking taylor expansion of n in n 1.835 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.835 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.835 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.835 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.835 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.835 * [taylor]: Taking taylor expansion of 0.25 in n 1.835 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.835 * [taylor]: Taking taylor expansion of k in n 1.835 * [taylor]: Taking taylor expansion of 1.0 in n 1.835 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.836 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.836 * [taylor]: Taking taylor expansion of -2.0 in n 1.836 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.841 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.841 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.841 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.841 * [taylor]: Taking taylor expansion of 0.25 in k 1.841 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.841 * [taylor]: Taking taylor expansion of k in k 1.841 * [taylor]: Taking taylor expansion of 1.0 in k 1.841 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.841 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.841 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.841 * [taylor]: Taking taylor expansion of -2.0 in k 1.841 * [taylor]: Taking taylor expansion of PI in k 1.842 * [taylor]: Taking taylor expansion of (log n) in k 1.842 * [taylor]: Taking taylor expansion of n in k 1.860 * [taylor]: Taking taylor expansion of 0 in k 1.871 * [taylor]: Taking taylor expansion of 0 in k 1.884 * [taylor]: Taking taylor expansion of 0 in k 1.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.885 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.885 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.885 * [taylor]: Taking taylor expansion of 2.0 in n 1.885 * [taylor]: Taking taylor expansion of (* n PI) in n 1.885 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of PI in n 1.885 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.885 * [taylor]: Taking taylor expansion of 2.0 in n 1.885 * [taylor]: Taking taylor expansion of (* n PI) in n 1.885 * [taylor]: Taking taylor expansion of n in n 1.886 * [taylor]: Taking taylor expansion of PI in n 1.898 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.898 * [taylor]: Taking taylor expansion of 2.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.908 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.908 * [taylor]: Taking taylor expansion of -2.0 in n 1.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.908 * [taylor]: Taking taylor expansion of -2.0 in n 1.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.909 * [taylor]: Taking taylor expansion of n in n 1.917 * * * [progress]: simplifying candidates 1.921 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow 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(log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))) (fma (* 0.25 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (pow (* (* 2.0 PI) n) 0.25) 2)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (pow (pow (* (* 2.0 PI) n) 0.25) 2)))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.027 * * * [progress]: adding candidates to table 2.807 * * [progress]: iteration 3 / 4 2.807 * * * [progress]: picking best candidate 2.829 * * * * [pick]: Picked # 2.829 * * * [progress]: localizing error 2.846 * * * [progress]: generating rewritten candidates 2.846 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.856 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.865 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.872 * * * [progress]: generating series expansions 2.873 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.873 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.873 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.873 * [taylor]: Taking taylor expansion of 0.5 in k 2.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.873 * [taylor]: Taking taylor expansion of 1.0 in k 2.874 * [taylor]: Taking taylor expansion of k in k 2.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.874 * [taylor]: Taking taylor expansion of 2.0 in k 2.874 * [taylor]: Taking taylor expansion of (* n PI) in k 2.874 * [taylor]: Taking taylor expansion of n in k 2.874 * [taylor]: Taking taylor expansion of PI in k 2.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.875 * [taylor]: Taking taylor expansion of 0.5 in n 2.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.875 * [taylor]: Taking taylor expansion of 1.0 in n 2.875 * [taylor]: Taking taylor expansion of k in n 2.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.875 * [taylor]: Taking taylor expansion of 2.0 in n 2.875 * [taylor]: Taking taylor expansion of (* n PI) in n 2.875 * [taylor]: Taking taylor expansion of n in n 2.875 * [taylor]: Taking taylor expansion of PI in n 2.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.881 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.881 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.881 * [taylor]: Taking taylor expansion of 0.5 in n 2.881 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.881 * [taylor]: Taking taylor expansion of 1.0 in n 2.881 * [taylor]: Taking taylor expansion of k in n 2.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.881 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.881 * [taylor]: Taking taylor expansion of 2.0 in n 2.881 * [taylor]: Taking taylor expansion of (* n PI) in n 2.881 * [taylor]: Taking taylor expansion of n in n 2.881 * [taylor]: Taking taylor expansion of PI in n 2.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.887 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.887 * [taylor]: Taking taylor expansion of 0.5 in k 2.887 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.887 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.887 * [taylor]: Taking taylor expansion of 1.0 in k 2.887 * [taylor]: Taking taylor expansion of k in k 2.887 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.887 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.887 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.887 * [taylor]: Taking taylor expansion of 2.0 in k 2.887 * [taylor]: Taking taylor expansion of PI in k 2.888 * [taylor]: Taking taylor expansion of (log n) in k 2.888 * [taylor]: Taking taylor expansion of n in k 2.898 * [taylor]: Taking taylor expansion of 0 in k 2.919 * [taylor]: Taking taylor expansion of 0 in k 2.939 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.939 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.939 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.939 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.939 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.940 * [taylor]: Taking taylor expansion of 0.5 in k 2.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.940 * [taylor]: Taking taylor expansion of 1.0 in k 2.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.940 * [taylor]: Taking taylor expansion of k in k 2.940 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.940 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.940 * [taylor]: Taking taylor expansion of 2.0 in k 2.940 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.940 * [taylor]: Taking taylor expansion of PI in k 2.940 * [taylor]: Taking taylor expansion of n in k 2.941 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.941 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.941 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.941 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.941 * [taylor]: Taking taylor expansion of 0.5 in n 2.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.941 * [taylor]: Taking taylor expansion of 1.0 in n 2.941 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.941 * [taylor]: Taking taylor expansion of k in n 2.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.941 * [taylor]: Taking taylor expansion of 2.0 in n 2.941 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.941 * [taylor]: Taking taylor expansion of PI in n 2.941 * [taylor]: Taking taylor expansion of n in n 2.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.945 * [taylor]: Taking taylor expansion of 0.5 in n 2.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.945 * [taylor]: Taking taylor expansion of 1.0 in n 2.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.945 * [taylor]: Taking taylor expansion of k in n 2.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.945 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.945 * [taylor]: Taking taylor expansion of 2.0 in n 2.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.945 * [taylor]: Taking taylor expansion of PI in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.949 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.949 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.949 * [taylor]: Taking taylor expansion of 0.5 in k 2.949 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.949 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.949 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.949 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.949 * [taylor]: Taking taylor expansion of 2.0 in k 2.949 * [taylor]: Taking taylor expansion of PI in k 2.950 * [taylor]: Taking taylor expansion of (log n) in k 2.950 * [taylor]: Taking taylor expansion of n in k 2.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.950 * [taylor]: Taking taylor expansion of 1.0 in k 2.950 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.950 * [taylor]: Taking taylor expansion of k in k 2.960 * [taylor]: Taking taylor expansion of 0 in k 2.968 * [taylor]: Taking taylor expansion of 0 in k 2.977 * [taylor]: Taking taylor expansion of 0 in k 2.978 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.978 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.979 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.979 * [taylor]: Taking taylor expansion of 0.5 in k 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.979 * [taylor]: Taking taylor expansion of k in k 2.979 * [taylor]: Taking taylor expansion of 1.0 in k 2.979 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.979 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.979 * [taylor]: Taking taylor expansion of -2.0 in k 2.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.979 * [taylor]: Taking taylor expansion of PI in k 2.979 * [taylor]: Taking taylor expansion of n in k 2.980 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.980 * [taylor]: Taking taylor expansion of 0.5 in n 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.980 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.980 * [taylor]: Taking taylor expansion of k in n 2.980 * [taylor]: Taking taylor expansion of 1.0 in n 2.980 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.980 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.980 * [taylor]: Taking taylor expansion of -2.0 in n 2.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.980 * [taylor]: Taking taylor expansion of PI in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.984 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.984 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.984 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.984 * [taylor]: Taking taylor expansion of 0.5 in n 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.984 * [taylor]: Taking taylor expansion of k in n 2.984 * [taylor]: Taking taylor expansion of 1.0 in n 2.984 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.984 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.984 * [taylor]: Taking taylor expansion of -2.0 in n 2.984 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.984 * [taylor]: Taking taylor expansion of PI in n 2.984 * [taylor]: Taking taylor expansion of n in n 2.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.988 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.988 * [taylor]: Taking taylor expansion of 0.5 in k 2.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.988 * [taylor]: Taking taylor expansion of k in k 2.988 * [taylor]: Taking taylor expansion of 1.0 in k 2.988 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.988 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.988 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.988 * [taylor]: Taking taylor expansion of -2.0 in k 2.988 * [taylor]: Taking taylor expansion of PI in k 2.989 * [taylor]: Taking taylor expansion of (log n) in k 2.989 * [taylor]: Taking taylor expansion of n in k 2.999 * [taylor]: Taking taylor expansion of 0 in k 3.012 * [taylor]: Taking taylor expansion of 0 in k 3.022 * [taylor]: Taking taylor expansion of 0 in k 3.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.023 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.023 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.023 * [taylor]: Taking taylor expansion of 2.0 in n 3.023 * [taylor]: Taking taylor expansion of (* n PI) in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.023 * [taylor]: Taking taylor expansion of PI in n 3.023 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.023 * [taylor]: Taking taylor expansion of 2.0 in n 3.023 * [taylor]: Taking taylor expansion of (* n PI) in n 3.023 * [taylor]: Taking taylor expansion of n in n 3.023 * [taylor]: Taking taylor expansion of PI in n 3.036 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.036 * [taylor]: Taking taylor expansion of 2.0 in n 3.036 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.036 * [taylor]: Taking taylor expansion of PI in n 3.036 * [taylor]: Taking taylor expansion of n in n 3.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.036 * [taylor]: Taking taylor expansion of 2.0 in n 3.036 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.036 * [taylor]: Taking taylor expansion of PI in n 3.036 * [taylor]: Taking taylor expansion of n in n 3.046 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.046 * [taylor]: Taking taylor expansion of -2.0 in n 3.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.046 * [taylor]: Taking taylor expansion of PI in n 3.046 * [taylor]: Taking taylor expansion of n in n 3.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.046 * [taylor]: Taking taylor expansion of -2.0 in n 3.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.046 * [taylor]: Taking taylor expansion of PI in n 3.046 * [taylor]: Taking taylor expansion of n in n 3.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.055 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.055 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.055 * [taylor]: Taking taylor expansion of 1.0 in k 3.055 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.055 * [taylor]: Taking taylor expansion of k in k 3.057 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.057 * [taylor]: Taking taylor expansion of 1.0 in k 3.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.057 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.057 * [taylor]: Taking taylor expansion of k in k 3.068 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.068 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.068 * [taylor]: Taking taylor expansion of 1.0 in k 3.068 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.068 * [taylor]: Taking taylor expansion of k in k 3.069 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.069 * [taylor]: Taking taylor expansion of 1.0 in k 3.069 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.069 * [taylor]: Taking taylor expansion of k in k 3.080 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.080 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.080 * [taylor]: Taking taylor expansion of 1.0 in k 3.080 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.080 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.080 * [taylor]: Taking taylor expansion of -1 in k 3.080 * [taylor]: Taking taylor expansion of k in k 3.082 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.082 * [taylor]: Taking taylor expansion of 1.0 in k 3.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.082 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.082 * [taylor]: Taking taylor expansion of -1 in k 3.082 * [taylor]: Taking taylor expansion of k in k 3.101 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.101 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.101 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.101 * [taylor]: Taking taylor expansion of 1.0 in k 3.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.102 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.102 * [taylor]: Taking taylor expansion of 1.0 in k 3.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.102 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.102 * [taylor]: Taking taylor expansion of k in k 3.114 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.114 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.114 * [taylor]: Taking taylor expansion of 1.0 in k 3.114 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.114 * [taylor]: Taking taylor expansion of k in k 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.115 * [taylor]: Taking taylor expansion of 1.0 in k 3.115 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.115 * [taylor]: Taking taylor expansion of k in k 3.126 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.126 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.126 * [taylor]: Taking taylor expansion of 1.0 in k 3.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.126 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.126 * [taylor]: Taking taylor expansion of -1 in k 3.126 * [taylor]: Taking taylor expansion of k in k 3.127 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.127 * [taylor]: Taking taylor expansion of 1.0 in k 3.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.127 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.127 * [taylor]: Taking taylor expansion of -1 in k 3.128 * [taylor]: Taking taylor expansion of k in k 3.140 * * * [progress]: simplifying candidates 3.142 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.149 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 3.158 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 3.197 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 3.201 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 3.202 * * * [progress]: adding candidates to table 3.661 * * [progress]: iteration 4 / 4 3.661 * * * [progress]: picking best candidate 3.678 * * * * [pick]: Picked # 3.678 * * * [progress]: localizing error 3.706 * * * [progress]: generating rewritten candidates 3.706 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.716 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 3.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1) 3.717 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.736 * * * [progress]: generating series expansions 3.736 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.737 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.737 * [taylor]: Taking taylor expansion of 0.5 in k 3.737 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.737 * [taylor]: Taking taylor expansion of 1.0 in k 3.737 * [taylor]: Taking taylor expansion of k in k 3.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.737 * [taylor]: Taking taylor expansion of 2.0 in k 3.737 * [taylor]: Taking taylor expansion of (* n PI) in k 3.737 * [taylor]: Taking taylor expansion of n in k 3.737 * [taylor]: Taking taylor expansion of PI in k 3.738 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.739 * [taylor]: Taking taylor expansion of 0.5 in n 3.739 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.739 * [taylor]: Taking taylor expansion of 1.0 in n 3.739 * [taylor]: Taking taylor expansion of k in n 3.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.739 * [taylor]: Taking taylor expansion of 2.0 in n 3.739 * [taylor]: Taking taylor expansion of (* n PI) in n 3.739 * [taylor]: Taking taylor expansion of n in n 3.739 * [taylor]: Taking taylor expansion of PI in n 3.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.744 * [taylor]: Taking taylor expansion of 0.5 in n 3.744 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.744 * [taylor]: Taking taylor expansion of 1.0 in n 3.744 * [taylor]: Taking taylor expansion of k in n 3.744 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.744 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.744 * [taylor]: Taking taylor expansion of 2.0 in n 3.744 * [taylor]: Taking taylor expansion of (* n PI) in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.744 * [taylor]: Taking taylor expansion of PI in n 3.751 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.751 * [taylor]: Taking taylor expansion of 0.5 in k 3.751 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.751 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.751 * [taylor]: Taking taylor expansion of 1.0 in k 3.751 * [taylor]: Taking taylor expansion of k in k 3.751 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.751 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.751 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.751 * [taylor]: Taking taylor expansion of 2.0 in k 3.751 * [taylor]: Taking taylor expansion of PI in k 3.752 * [taylor]: Taking taylor expansion of (log n) in k 3.752 * [taylor]: Taking taylor expansion of n in k 3.762 * [taylor]: Taking taylor expansion of 0 in k 3.785 * [taylor]: Taking taylor expansion of 0 in k 3.804 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.804 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.804 * [taylor]: Taking taylor expansion of 0.5 in k 3.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.804 * [taylor]: Taking taylor expansion of 1.0 in k 3.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.804 * [taylor]: Taking taylor expansion of k in k 3.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.804 * [taylor]: Taking taylor expansion of 2.0 in k 3.804 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.804 * [taylor]: Taking taylor expansion of PI in k 3.804 * [taylor]: Taking taylor expansion of n in k 3.805 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.806 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.806 * [taylor]: Taking taylor expansion of 0.5 in n 3.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.806 * [taylor]: Taking taylor expansion of 1.0 in n 3.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.806 * [taylor]: Taking taylor expansion of k in n 3.806 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.806 * [taylor]: Taking taylor expansion of 2.0 in n 3.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.806 * [taylor]: Taking taylor expansion of PI in n 3.806 * [taylor]: Taking taylor expansion of n in n 3.809 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.810 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.810 * [taylor]: Taking taylor expansion of 0.5 in n 3.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.810 * [taylor]: Taking taylor expansion of 1.0 in n 3.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.810 * [taylor]: Taking taylor expansion of k in n 3.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.810 * [taylor]: Taking taylor expansion of 2.0 in n 3.810 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.810 * [taylor]: Taking taylor expansion of PI in n 3.810 * [taylor]: Taking taylor expansion of n in n 3.814 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.814 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.814 * [taylor]: Taking taylor expansion of 0.5 in k 3.814 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.814 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.814 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.814 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.814 * [taylor]: Taking taylor expansion of 2.0 in k 3.814 * [taylor]: Taking taylor expansion of PI in k 3.815 * [taylor]: Taking taylor expansion of (log n) in k 3.815 * [taylor]: Taking taylor expansion of n in k 3.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.815 * [taylor]: Taking taylor expansion of 1.0 in k 3.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.815 * [taylor]: Taking taylor expansion of k in k 3.825 * [taylor]: Taking taylor expansion of 0 in k 3.832 * [taylor]: Taking taylor expansion of 0 in k 3.841 * [taylor]: Taking taylor expansion of 0 in k 3.842 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.843 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.843 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.843 * [taylor]: Taking taylor expansion of 0.5 in k 3.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.843 * [taylor]: Taking taylor expansion of k in k 3.843 * [taylor]: Taking taylor expansion of 1.0 in k 3.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.843 * [taylor]: Taking taylor expansion of -2.0 in k 3.843 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.843 * [taylor]: Taking taylor expansion of PI in k 3.843 * [taylor]: Taking taylor expansion of n in k 3.844 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.844 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.844 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.844 * [taylor]: Taking taylor expansion of 0.5 in n 3.844 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.844 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.844 * [taylor]: Taking taylor expansion of k in n 3.844 * [taylor]: Taking taylor expansion of 1.0 in n 3.844 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.844 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.844 * [taylor]: Taking taylor expansion of -2.0 in n 3.844 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.844 * [taylor]: Taking taylor expansion of PI in n 3.844 * [taylor]: Taking taylor expansion of n in n 3.848 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.848 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.848 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.848 * [taylor]: Taking taylor expansion of 0.5 in n 3.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.848 * [taylor]: Taking taylor expansion of k in n 3.848 * [taylor]: Taking taylor expansion of 1.0 in n 3.848 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.848 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.848 * [taylor]: Taking taylor expansion of -2.0 in n 3.848 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.848 * [taylor]: Taking taylor expansion of PI in n 3.848 * [taylor]: Taking taylor expansion of n in n 3.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.852 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.852 * [taylor]: Taking taylor expansion of 0.5 in k 3.852 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.852 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.852 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.852 * [taylor]: Taking taylor expansion of k in k 3.852 * [taylor]: Taking taylor expansion of 1.0 in k 3.852 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.852 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.852 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.852 * [taylor]: Taking taylor expansion of -2.0 in k 3.852 * [taylor]: Taking taylor expansion of PI in k 3.853 * [taylor]: Taking taylor expansion of (log n) in k 3.853 * [taylor]: Taking taylor expansion of n in k 3.863 * [taylor]: Taking taylor expansion of 0 in k 3.876 * [taylor]: Taking taylor expansion of 0 in k 3.885 * [taylor]: Taking taylor expansion of 0 in k 3.886 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 3.886 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.886 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.886 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.886 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.886 * [taylor]: Taking taylor expansion of 1/3 in k 3.886 * [taylor]: Taking taylor expansion of (log k) in k 3.886 * [taylor]: Taking taylor expansion of k in k 3.887 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.887 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.887 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.887 * [taylor]: Taking taylor expansion of 1/3 in k 3.887 * [taylor]: Taking taylor expansion of (log k) in k 3.887 * [taylor]: Taking taylor expansion of k in k 3.935 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.935 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.935 * [taylor]: Taking taylor expansion of 1/3 in k 3.935 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.935 * [taylor]: Taking taylor expansion of k in k 3.936 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.936 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.936 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.936 * [taylor]: Taking taylor expansion of 1/3 in k 3.936 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.936 * [taylor]: Taking taylor expansion of k in k 3.994 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.995 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.995 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.995 * [taylor]: Taking taylor expansion of 1/3 in k 3.995 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.995 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.995 * [taylor]: Taking taylor expansion of k in k 3.996 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.996 * [taylor]: Taking taylor expansion of -1 in k 3.996 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.996 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.997 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.997 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.997 * [taylor]: Taking taylor expansion of 1/3 in k 3.997 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.997 * [taylor]: Taking taylor expansion of k in k 3.997 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.997 * [taylor]: Taking taylor expansion of -1 in k 4.064 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1) 4.064 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 4.064 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.064 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.064 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.064 * [taylor]: Taking taylor expansion of 1/3 in k 4.064 * [taylor]: Taking taylor expansion of (log k) in k 4.064 * [taylor]: Taking taylor expansion of k in k 4.065 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.065 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.065 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.065 * [taylor]: Taking taylor expansion of 1/3 in k 4.065 * [taylor]: Taking taylor expansion of (log k) in k 4.065 * [taylor]: Taking taylor expansion of k in k 4.120 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 4.120 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.120 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.120 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.120 * [taylor]: Taking taylor expansion of 1/3 in k 4.120 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.120 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.120 * [taylor]: Taking taylor expansion of k in k 4.121 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.121 * [taylor]: Taking taylor expansion of 1/3 in k 4.121 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.121 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.121 * [taylor]: Taking taylor expansion of k in k 4.172 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.172 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.172 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.172 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.172 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.172 * [taylor]: Taking taylor expansion of 1/3 in k 4.172 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.173 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.173 * [taylor]: Taking taylor expansion of k in k 4.173 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.173 * [taylor]: Taking taylor expansion of -1 in k 4.174 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.174 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.174 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.174 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.174 * [taylor]: Taking taylor expansion of 1/3 in k 4.174 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.174 * [taylor]: Taking taylor expansion of k in k 4.175 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.175 * [taylor]: Taking taylor expansion of -1 in k 4.241 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 4.241 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 4.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 4.241 * [taylor]: Taking taylor expansion of 1.0 in k 4.241 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 4.241 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 4.241 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 4.241 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.241 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.241 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.241 * [taylor]: Taking taylor expansion of 1/6 in k 4.241 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.241 * [taylor]: Taking taylor expansion of k in k 4.242 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 4.242 * [taylor]: Taking taylor expansion of 1.0 in k 4.242 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 4.242 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 4.242 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 4.243 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 4.243 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 4.243 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 4.243 * [taylor]: Taking taylor expansion of 1/6 in k 4.243 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.243 * [taylor]: Taking taylor expansion of k in k 4.313 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in (k) around 0 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.313 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.313 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.313 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.313 * [taylor]: Taking taylor expansion of 1/6 in k 4.313 * [taylor]: Taking taylor expansion of (log k) in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.314 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.314 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.314 * [taylor]: Taking taylor expansion of 1.0 in k 4.314 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.314 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.314 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.314 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.314 * [taylor]: Taking taylor expansion of 1/6 in k 4.314 * [taylor]: Taking taylor expansion of (log k) in k 4.314 * [taylor]: Taking taylor expansion of k in k 4.315 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.315 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.383 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 4.383 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.383 * [taylor]: Taking taylor expansion of 1.0 in k 4.383 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.383 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.383 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.384 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.384 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.384 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.384 * [taylor]: Taking taylor expansion of -1 in k 4.388 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.388 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.388 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.388 * [taylor]: Taking taylor expansion of 1/6 in k 4.388 * [taylor]: Taking taylor expansion of (log k) in k 4.388 * [taylor]: Taking taylor expansion of k in k 4.388 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.388 * [taylor]: Taking taylor expansion of 1.0 in k 4.388 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.388 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.389 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.389 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.389 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.389 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.389 * [taylor]: Taking taylor expansion of -1 in k 4.393 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.393 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.393 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.393 * [taylor]: Taking taylor expansion of 1/6 in k 4.393 * [taylor]: Taking taylor expansion of (log k) in k 4.393 * [taylor]: Taking taylor expansion of k in k 4.519 * * * [progress]: simplifying candidates 4.523 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (cbrt k)) (log1p (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (expm1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (log1p (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (- (log 1.0) (log (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (log (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (exp (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (/ (* (* (/ 1.0 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k)))) (/ 1.0 (fabs (cbrt k)))) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k)))) (* (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))))) (cbrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (* (* (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (sqrt (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))) (- (/ 1.0 (fabs (cbrt k)))) (- (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt 1)) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt (/ 1.0 (fabs (cbrt k)))) (cbrt (/ 1.0 (fabs (cbrt k))))) 1) (/ (cbrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt 1)) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) 1) (/ (sqrt (/ 1.0 (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt 1)) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) 1) (/ (/ (cbrt 1.0) (cbrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt 1)) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (fabs (cbrt k)))) 1) (/ (/ (cbrt 1.0) (sqrt (fabs (cbrt k)))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt (sqrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (cbrt 1))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt 1)) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (sqrt (sqrt (cbrt k)))) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) 1) (/ (/ (cbrt 1.0) (fabs (cbrt k))) (sqrt (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (fabs (cbrt k))) (cbrt (fabs (cbrt k))))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt 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k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt 1))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt 1)) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) 1) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (cbrt k))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (pow (/ 1 k) 1/6) (/ 1 (fabs (pow k 1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 4.534 * * [simplify]: iteration 0 : 929 enodes (cost 2689 ) 4.548 * * [simplify]: iteration 1 : 3525 enodes (cost 2585 ) 4.593 * * [simplify]: iteration 2 : 5001 enodes (cost 2527 ) 4.603 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 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k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1 (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (cbrt (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (fabs (cbrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt (cbrt k)))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ (/ 1 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) 1.0 (/ (/ 1 (fabs (cbrt k))) (sqrt (cbrt k))) (/ 1 (sqrt (cbrt k))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (/ 1.0 (fabs (cbrt k))) (sqrt (sqrt (cbrt k)))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (cbrt k)) (cbrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (sqrt (/ 1.0 (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (cbrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ (sqrt 1.0) (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (cbrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (sqrt (fabs (cbrt k))))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (/ (sqrt (cbrt k)) (/ 1.0 (fabs (cbrt k)))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (* (sqrt (cbrt k)) (fabs (pow k 1/3))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* 1.0 (pow (/ 1 k) 1/6)) (fabs (pow k 1/3))) (/ (* (* 1.0 (pow (/ -1 k) 1/6)) (sqrt (/ 1 (cbrt -1)))) (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))) 4.605 * * * [progress]: adding candidates to table 5.567 * [progress]: [Phase 3 of 3] Extracting. 5.567 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.569 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.569 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.603 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.639 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.675 * * * [regime]: Found split indices: #