17.709 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.082 * [progress]: [Phase 2 of 3] Improving. 0.082 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.084 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.086 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.088 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.090 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.096 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.119 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.119 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.120 * * [progress]: iteration 1 / 4 0.120 * * * [progress]: picking best candidate 0.122 * * * * [pick]: Picked # 0.122 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.149 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.158 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.182 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.182 * [taylor]: Taking taylor expansion of 0.5 in k 0.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.182 * [taylor]: Taking taylor expansion of 1.0 in k 0.182 * [taylor]: Taking taylor expansion of k in k 0.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.182 * [taylor]: Taking taylor expansion of 2.0 in k 0.182 * [taylor]: Taking taylor expansion of (* n PI) in k 0.182 * [taylor]: Taking taylor expansion of n in k 0.182 * [taylor]: Taking taylor expansion of PI in k 0.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.183 * [taylor]: Taking taylor expansion of 0.5 in n 0.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.183 * [taylor]: Taking taylor expansion of 1.0 in n 0.183 * [taylor]: Taking taylor expansion of k in n 0.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.183 * [taylor]: Taking taylor expansion of 2.0 in n 0.183 * [taylor]: Taking taylor expansion of (* n PI) in n 0.183 * [taylor]: Taking taylor expansion of n in n 0.183 * [taylor]: Taking taylor expansion of PI in n 0.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.189 * [taylor]: Taking taylor expansion of 0.5 in n 0.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.189 * [taylor]: Taking taylor expansion of 1.0 in n 0.189 * [taylor]: Taking taylor expansion of k in n 0.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.189 * [taylor]: Taking taylor expansion of 2.0 in n 0.189 * [taylor]: Taking taylor expansion of (* n PI) in n 0.189 * [taylor]: Taking taylor expansion of n in n 0.189 * [taylor]: Taking taylor expansion of PI in n 0.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.194 * [taylor]: Taking taylor expansion of 0.5 in k 0.194 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.194 * [taylor]: Taking taylor expansion of 1.0 in k 0.194 * [taylor]: Taking taylor expansion of k in k 0.194 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.195 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.195 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.195 * [taylor]: Taking taylor expansion of 2.0 in k 0.195 * [taylor]: Taking taylor expansion of PI in k 0.196 * [taylor]: Taking taylor expansion of (log n) in k 0.196 * [taylor]: Taking taylor expansion of n in k 0.205 * [taylor]: Taking taylor expansion of 0 in k 0.221 * [taylor]: Taking taylor expansion of 0 in k 0.246 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.246 * [taylor]: Taking taylor expansion of 0.5 in k 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.246 * [taylor]: Taking taylor expansion of 1.0 in k 0.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.246 * [taylor]: Taking taylor expansion of k in k 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.246 * [taylor]: Taking taylor expansion of 2.0 in k 0.246 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.246 * [taylor]: Taking taylor expansion of PI in k 0.246 * [taylor]: Taking taylor expansion of n in k 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.247 * [taylor]: Taking taylor expansion of 0.5 in n 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.247 * [taylor]: Taking taylor expansion of k in n 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.251 * [taylor]: Taking taylor expansion of 0.5 in n 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.251 * [taylor]: Taking taylor expansion of 1.0 in n 0.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.251 * [taylor]: Taking taylor expansion of k in n 0.251 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.251 * [taylor]: Taking taylor expansion of 2.0 in n 0.251 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.251 * [taylor]: Taking taylor expansion of PI in n 0.251 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.255 * [taylor]: Taking taylor expansion of 0.5 in k 0.255 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.255 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (log n) in k 0.256 * [taylor]: Taking taylor expansion of n in k 0.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.266 * [taylor]: Taking taylor expansion of 0 in k 0.273 * [taylor]: Taking taylor expansion of 0 in k 0.282 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.284 * [taylor]: Taking taylor expansion of 0.5 in k 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.284 * [taylor]: Taking taylor expansion of k in k 0.284 * [taylor]: Taking taylor expansion of 1.0 in k 0.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.284 * [taylor]: Taking taylor expansion of -2.0 in k 0.284 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.284 * [taylor]: Taking taylor expansion of PI in k 0.284 * [taylor]: Taking taylor expansion of n in k 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.285 * [taylor]: Taking taylor expansion of 1.0 in n 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.285 * [taylor]: Taking taylor expansion of -2.0 in n 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.285 * [taylor]: Taking taylor expansion of PI in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of -2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.293 * [taylor]: Taking taylor expansion of 0.5 in k 0.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.293 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.293 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.293 * [taylor]: Taking taylor expansion of -2.0 in k 0.293 * [taylor]: Taking taylor expansion of PI in k 0.294 * [taylor]: Taking taylor expansion of (log n) in k 0.294 * [taylor]: Taking taylor expansion of n in k 0.304 * [taylor]: Taking taylor expansion of 0 in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [taylor]: Taking taylor expansion of 0 in k 0.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.327 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.327 * [taylor]: Taking taylor expansion of (* n PI) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.327 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.327 * [taylor]: Taking taylor expansion of 2.0 in n 0.327 * [taylor]: Taking taylor expansion of (* n PI) in n 0.327 * [taylor]: Taking taylor expansion of n in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.339 * [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 0.349 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of -2.0 in n 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of -2.0 in n 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.358 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.358 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.358 * [taylor]: Taking taylor expansion of 1.0 in k 0.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.358 * [taylor]: Taking taylor expansion of k in k 0.359 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.359 * [taylor]: Taking taylor expansion of 1.0 in k 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.359 * [taylor]: Taking taylor expansion of k in k 0.370 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.370 * [taylor]: Taking taylor expansion of 1.0 in k 0.370 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.370 * [taylor]: Taking taylor expansion of k in k 0.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.371 * [taylor]: Taking taylor expansion of 1.0 in k 0.371 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.371 * [taylor]: Taking taylor expansion of k in k 0.382 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.382 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.382 * [taylor]: Taking taylor expansion of -1 in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.383 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.383 * [taylor]: Taking taylor expansion of 1.0 in k 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.383 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.383 * [taylor]: Taking taylor expansion of -1 in k 0.384 * [taylor]: Taking taylor expansion of k in k 0.397 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.398 * [taylor]: Taking taylor expansion of 1.0 in n 0.398 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.398 * [taylor]: Taking taylor expansion of k in n 0.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.398 * [taylor]: Taking taylor expansion of 0.5 in n 0.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.398 * [taylor]: Taking taylor expansion of 1.0 in n 0.398 * [taylor]: Taking taylor expansion of k in n 0.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.398 * [taylor]: Taking taylor expansion of 2.0 in n 0.398 * [taylor]: Taking taylor expansion of (* n PI) in n 0.398 * [taylor]: Taking taylor expansion of n in n 0.398 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.410 * [taylor]: Taking taylor expansion of 1.0 in k 0.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.410 * [taylor]: Taking taylor expansion of k in k 0.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.412 * [taylor]: Taking taylor expansion of 0.5 in k 0.412 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.412 * [taylor]: Taking taylor expansion of 1.0 in k 0.412 * [taylor]: Taking taylor expansion of k in k 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.412 * [taylor]: Taking taylor expansion of 2.0 in k 0.412 * [taylor]: Taking taylor expansion of (* n PI) in k 0.412 * [taylor]: Taking taylor expansion of n in k 0.412 * [taylor]: Taking taylor expansion of PI in k 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.414 * [taylor]: Taking taylor expansion of 0.5 in k 0.414 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.414 * [taylor]: Taking taylor expansion of 1.0 in k 0.414 * [taylor]: Taking taylor expansion of k in k 0.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.414 * [taylor]: Taking taylor expansion of 2.0 in k 0.414 * [taylor]: Taking taylor expansion of (* n PI) in k 0.414 * [taylor]: Taking taylor expansion of n in k 0.414 * [taylor]: Taking taylor expansion of PI in k 0.416 * [taylor]: Taking taylor expansion of 0 in n 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of +nan.0 in n 0.421 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.421 * [taylor]: Taking taylor expansion of 0.5 in n 0.421 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.421 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.421 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.421 * [taylor]: Taking taylor expansion of 1.0 in n 0.421 * [taylor]: Taking taylor expansion of (log PI) in n 0.421 * [taylor]: Taking taylor expansion of PI in n 0.423 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.423 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of (log n) in n 0.423 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.443 * [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 0.443 * [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 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of +nan.0 in n 0.443 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.443 * [taylor]: Taking taylor expansion of 0.5 in n 0.443 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.443 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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) (pow 2.0 1.0)) 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 0.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.451 * [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 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of +nan.0 in n 0.451 * [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 0.451 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.451 * [taylor]: Taking taylor expansion of 0.5 in n 0.451 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.451 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [taylor]: Taking taylor expansion of (log PI) in n 0.453 * [taylor]: Taking taylor expansion of PI in n 0.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.455 * [taylor]: Taking taylor expansion of 1.0 in n 0.455 * [taylor]: Taking taylor expansion of (log n) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.460 * [taylor]: Taking taylor expansion of (* n PI) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of PI in n 0.515 * [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 0.515 * [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 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) 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 0.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log PI) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.523 * [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 0.523 * [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 0.523 * [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 0.523 * [taylor]: Taking taylor expansion of +nan.0 in n 0.523 * [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 0.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.523 * [taylor]: Taking taylor expansion of 0.5 in n 0.523 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.525 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log PI) in n 0.525 * [taylor]: Taking taylor expansion of PI in n 0.527 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log n) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.531 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* n PI) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.535 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.535 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.535 * [taylor]: Taking taylor expansion of +nan.0 in n 0.535 * [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 0.535 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.535 * [taylor]: Taking taylor expansion of 0.5 in n 0.535 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.535 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.535 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.535 * [taylor]: Taking taylor expansion of 1.0 in n 0.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log PI) in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log n) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.543 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.543 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.543 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* n PI) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.620 * [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 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.621 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.625 * [taylor]: Taking taylor expansion of 1.0 in k 0.625 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.625 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.626 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.626 * [taylor]: Taking taylor expansion of 0.5 in k 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.626 * [taylor]: Taking taylor expansion of 1.0 in k 0.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.626 * [taylor]: Taking taylor expansion of k in k 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.626 * [taylor]: Taking taylor expansion of 2.0 in k 0.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.626 * [taylor]: Taking taylor expansion of PI in k 0.626 * [taylor]: Taking taylor expansion of n in k 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.627 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.629 * [taylor]: Taking taylor expansion of 0.5 in k 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.629 * [taylor]: Taking taylor expansion of 2.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of 0 in n 0.631 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.631 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.631 * [taylor]: Taking taylor expansion of +nan.0 in n 0.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.631 * [taylor]: Taking taylor expansion of 0.5 in n 0.631 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.631 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of 2.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.641 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.641 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.641 * [taylor]: Taking taylor expansion of +nan.0 in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.642 * [taylor]: Taking taylor expansion of 0.5 in n 0.642 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.642 * [taylor]: Taking taylor expansion of 2.0 in n 0.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.642 * [taylor]: Taking taylor expansion of PI in n 0.642 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.643 * [taylor]: Taking taylor expansion of 1.0 in n 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.643 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.660 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.660 * [taylor]: Taking taylor expansion of +nan.0 in n 0.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.660 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.660 * [taylor]: Taking taylor expansion of 0.5 in n 0.660 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.660 * [taylor]: Taking taylor expansion of 2.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.660 * [taylor]: Taking taylor expansion of PI in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.661 * [taylor]: Taking taylor expansion of 1.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.661 * [taylor]: Taking taylor expansion of k in n 0.670 * [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 0.670 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.670 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.670 * [taylor]: Taking taylor expansion of 0.5 in n 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.670 * [taylor]: Taking taylor expansion of k in n 0.670 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of -2.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.679 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.679 * [taylor]: Taking taylor expansion of -1 in n 0.679 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.680 * [taylor]: Taking taylor expansion of 1.0 in k 0.680 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.680 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.680 * [taylor]: Taking taylor expansion of 0.5 in k 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.680 * [taylor]: Taking taylor expansion of k in k 0.681 * [taylor]: Taking taylor expansion of 1.0 in k 0.681 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.681 * [taylor]: Taking taylor expansion of -2.0 in k 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.681 * [taylor]: Taking taylor expansion of PI in k 0.681 * [taylor]: Taking taylor expansion of n in k 0.682 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.682 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.682 * [taylor]: Taking taylor expansion of -1 in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.683 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.684 * [taylor]: Taking taylor expansion of 0.5 in k 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.684 * [taylor]: Taking taylor expansion of -2.0 in k 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.684 * [taylor]: Taking taylor expansion of PI in k 0.684 * [taylor]: Taking taylor expansion of n in k 0.685 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.685 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.685 * [taylor]: Taking taylor expansion of -1 in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.686 * [taylor]: Taking taylor expansion of +nan.0 in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.687 * [taylor]: Taking taylor expansion of 0.5 in n 0.687 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of 1.0 in n 0.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.687 * [taylor]: Taking taylor expansion of -2.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.696 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.696 * [taylor]: Taking taylor expansion of +nan.0 in n 0.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.696 * [taylor]: Taking taylor expansion of 0.5 in n 0.696 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.696 * [taylor]: Taking taylor expansion of k in n 0.696 * [taylor]: Taking taylor expansion of 1.0 in n 0.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.696 * [taylor]: Taking taylor expansion of -2.0 in n 0.696 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.714 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.714 * [taylor]: Taking taylor expansion of +nan.0 in n 0.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.714 * [taylor]: Taking taylor expansion of 0.5 in n 0.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.714 * [taylor]: Taking taylor expansion of k in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of -2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.724 * * * [progress]: simplifying candidates 0.727 * [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))))))))) 0.826 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 2 / 4 1.275 * * * [progress]: picking best candidate 1.306 * * * * [pick]: Picked # 1.306 * * * [progress]: localizing error 1.319 * * * [progress]: generating rewritten candidates 1.319 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.329 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 1.335 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.344 * * * [progress]: generating series expansions 1.344 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.345 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.345 * [taylor]: Taking taylor expansion of 0.5 in k 1.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.345 * [taylor]: Taking taylor expansion of 1.0 in k 1.345 * [taylor]: Taking taylor expansion of k in k 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.345 * [taylor]: Taking taylor expansion of 2.0 in k 1.345 * [taylor]: Taking taylor expansion of (* n PI) in k 1.345 * [taylor]: Taking taylor expansion of n in k 1.345 * [taylor]: Taking taylor expansion of PI in k 1.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.347 * [taylor]: Taking taylor expansion of 0.5 in n 1.347 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.347 * [taylor]: Taking taylor expansion of 1.0 in n 1.347 * [taylor]: Taking taylor expansion of k in n 1.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.347 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.347 * [taylor]: Taking taylor expansion of 2.0 in n 1.347 * [taylor]: Taking taylor expansion of (* n PI) in n 1.347 * [taylor]: Taking taylor expansion of n in n 1.347 * [taylor]: Taking taylor expansion of PI in n 1.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.353 * [taylor]: Taking taylor expansion of 0.5 in n 1.353 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.353 * [taylor]: Taking taylor expansion of 1.0 in n 1.353 * [taylor]: Taking taylor expansion of k in n 1.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.353 * [taylor]: Taking taylor expansion of 2.0 in n 1.353 * [taylor]: Taking taylor expansion of (* n PI) in n 1.353 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.358 * [taylor]: Taking taylor expansion of 0.5 in k 1.358 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.358 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.358 * [taylor]: Taking taylor expansion of 1.0 in k 1.358 * [taylor]: Taking taylor expansion of k in k 1.358 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.358 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.358 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.358 * [taylor]: Taking taylor expansion of 2.0 in k 1.359 * [taylor]: Taking taylor expansion of PI in k 1.359 * [taylor]: Taking taylor expansion of (log n) in k 1.359 * [taylor]: Taking taylor expansion of n in k 1.369 * [taylor]: Taking taylor expansion of 0 in k 1.390 * [taylor]: Taking taylor expansion of 0 in k 1.409 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.409 * [taylor]: Taking taylor expansion of 0.5 in k 1.409 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.409 * [taylor]: Taking taylor expansion of 1.0 in k 1.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.410 * [taylor]: Taking taylor expansion of k in k 1.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.410 * [taylor]: Taking taylor expansion of 2.0 in k 1.410 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.410 * [taylor]: Taking taylor expansion of PI in k 1.410 * [taylor]: Taking taylor expansion of n in k 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.411 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.411 * [taylor]: Taking taylor expansion of 0.5 in n 1.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.411 * [taylor]: Taking taylor expansion of 1.0 in n 1.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.411 * [taylor]: Taking taylor expansion of k in n 1.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of 2.0 in n 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.415 * [taylor]: Taking taylor expansion of 0.5 in n 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.415 * [taylor]: Taking taylor expansion of 1.0 in n 1.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.415 * [taylor]: Taking taylor expansion of k in n 1.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.415 * [taylor]: Taking taylor expansion of 2.0 in n 1.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.415 * [taylor]: Taking taylor expansion of PI in n 1.415 * [taylor]: Taking taylor expansion of n in n 1.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.419 * [taylor]: Taking taylor expansion of 0.5 in k 1.419 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.419 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.419 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.419 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.419 * [taylor]: Taking taylor expansion of 2.0 in k 1.419 * [taylor]: Taking taylor expansion of PI in k 1.420 * [taylor]: Taking taylor expansion of (log n) in k 1.420 * [taylor]: Taking taylor expansion of n in k 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.420 * [taylor]: Taking taylor expansion of 1.0 in k 1.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.420 * [taylor]: Taking taylor expansion of k in k 1.430 * [taylor]: Taking taylor expansion of 0 in k 1.437 * [taylor]: Taking taylor expansion of 0 in k 1.446 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.448 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.448 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.448 * [taylor]: Taking taylor expansion of 0.5 in k 1.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.448 * [taylor]: Taking taylor expansion of k in k 1.448 * [taylor]: Taking taylor expansion of 1.0 in k 1.448 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.448 * [taylor]: Taking taylor expansion of -2.0 in k 1.448 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.448 * [taylor]: Taking taylor expansion of PI in k 1.448 * [taylor]: Taking taylor expansion of n in k 1.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.449 * [taylor]: Taking taylor expansion of 0.5 in n 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.449 * [taylor]: Taking taylor expansion of k in n 1.449 * [taylor]: Taking taylor expansion of 1.0 in n 1.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.449 * [taylor]: Taking taylor expansion of -2.0 in n 1.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.449 * [taylor]: Taking taylor expansion of PI in n 1.449 * [taylor]: Taking taylor expansion of n in n 1.453 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.453 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.453 * [taylor]: Taking taylor expansion of 0.5 in n 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.453 * [taylor]: Taking taylor expansion of k in n 1.453 * [taylor]: Taking taylor expansion of 1.0 in n 1.453 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.453 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of -2.0 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.457 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.457 * [taylor]: Taking taylor expansion of 0.5 in k 1.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.457 * [taylor]: Taking taylor expansion of k in k 1.457 * [taylor]: Taking taylor expansion of 1.0 in k 1.457 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.457 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.457 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.457 * [taylor]: Taking taylor expansion of -2.0 in k 1.457 * [taylor]: Taking taylor expansion of PI in k 1.458 * [taylor]: Taking taylor expansion of (log n) in k 1.458 * [taylor]: Taking taylor expansion of n in k 1.467 * [taylor]: Taking taylor expansion of 0 in k 1.480 * [taylor]: Taking taylor expansion of 0 in k 1.489 * [taylor]: Taking taylor expansion of 0 in k 1.490 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 1.490 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.490 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.490 * [taylor]: Taking taylor expansion of 2.0 in n 1.490 * [taylor]: Taking taylor expansion of (* n PI) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [taylor]: Taking taylor expansion of PI in n 1.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.491 * [taylor]: Taking taylor expansion of 2.0 in n 1.491 * [taylor]: Taking taylor expansion of (* n PI) in n 1.491 * [taylor]: Taking taylor expansion of n in n 1.491 * [taylor]: Taking taylor expansion of PI in n 1.503 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.503 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.513 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.513 * [taylor]: Taking taylor expansion of -2.0 in n 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.513 * [taylor]: Taking taylor expansion of -2.0 in n 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.522 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.522 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 1.522 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.522 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.522 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.522 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.522 * [taylor]: Taking taylor expansion of 0.5 in k 1.522 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.522 * [taylor]: Taking taylor expansion of 1.0 in k 1.522 * [taylor]: Taking taylor expansion of k in k 1.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.523 * [taylor]: Taking taylor expansion of 2.0 in k 1.523 * [taylor]: Taking taylor expansion of (* n PI) in k 1.523 * [taylor]: Taking taylor expansion of n in k 1.523 * [taylor]: Taking taylor expansion of PI in k 1.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.524 * [taylor]: Taking taylor expansion of k in k 1.525 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.525 * [taylor]: Taking taylor expansion of 0.5 in n 1.525 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.525 * [taylor]: Taking taylor expansion of 1.0 in n 1.525 * [taylor]: Taking taylor expansion of k in n 1.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.525 * [taylor]: Taking taylor expansion of 2.0 in n 1.525 * [taylor]: Taking taylor expansion of (* n PI) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.531 * [taylor]: Taking taylor expansion of k in n 1.531 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.531 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.531 * [taylor]: Taking taylor expansion of 0.5 in n 1.531 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.531 * [taylor]: Taking taylor expansion of 1.0 in n 1.532 * [taylor]: Taking taylor expansion of k in n 1.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.532 * [taylor]: Taking taylor expansion of 2.0 in n 1.532 * [taylor]: Taking taylor expansion of (* n PI) in n 1.532 * [taylor]: Taking taylor expansion of n in n 1.532 * [taylor]: Taking taylor expansion of PI in n 1.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.537 * [taylor]: Taking taylor expansion of k in n 1.538 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.538 * [taylor]: Taking taylor expansion of k in k 1.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.539 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.539 * [taylor]: Taking taylor expansion of 0.5 in k 1.539 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.540 * [taylor]: Taking taylor expansion of 1.0 in k 1.540 * [taylor]: Taking taylor expansion of k in k 1.540 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.540 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.540 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.540 * [taylor]: Taking taylor expansion of 2.0 in k 1.540 * [taylor]: Taking taylor expansion of PI in k 1.541 * [taylor]: Taking taylor expansion of (log n) in k 1.541 * [taylor]: Taking taylor expansion of n in k 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.576 * [taylor]: Taking taylor expansion of 0 in k 1.608 * [taylor]: Taking taylor expansion of 0 in k 1.662 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 1.662 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.662 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.662 * [taylor]: Taking taylor expansion of k in k 1.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.663 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.663 * [taylor]: Taking taylor expansion of 0.5 in k 1.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.663 * [taylor]: Taking taylor expansion of 1.0 in k 1.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.663 * [taylor]: Taking taylor expansion of k in k 1.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.663 * [taylor]: Taking taylor expansion of 2.0 in k 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.663 * [taylor]: Taking taylor expansion of PI in k 1.663 * [taylor]: Taking taylor expansion of n in k 1.664 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.664 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.664 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.665 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.665 * [taylor]: Taking taylor expansion of 0.5 in n 1.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.665 * [taylor]: Taking taylor expansion of 1.0 in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.665 * [taylor]: Taking taylor expansion of 2.0 in n 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.668 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.669 * [taylor]: Taking taylor expansion of 0.5 in n 1.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.669 * [taylor]: Taking taylor expansion of 1.0 in n 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.669 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.669 * [taylor]: Taking taylor expansion of 2.0 in n 1.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.673 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.673 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.673 * [taylor]: Taking taylor expansion of k in k 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.674 * [taylor]: Taking taylor expansion of 0.5 in k 1.675 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.675 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.675 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.675 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.675 * [taylor]: Taking taylor expansion of 2.0 in k 1.675 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of (log n) in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.686 * [taylor]: Taking taylor expansion of 0 in k 1.697 * [taylor]: Taking taylor expansion of 0 in k 1.713 * [taylor]: Taking taylor expansion of 0 in k 1.722 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 1.722 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.722 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.722 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.722 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.722 * [taylor]: Taking taylor expansion of 0.5 in k 1.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.722 * [taylor]: Taking taylor expansion of k in k 1.722 * [taylor]: Taking taylor expansion of 1.0 in k 1.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.722 * [taylor]: Taking taylor expansion of -2.0 in k 1.722 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.722 * [taylor]: Taking taylor expansion of PI in k 1.722 * [taylor]: Taking taylor expansion of n in k 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.723 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.723 * [taylor]: Taking taylor expansion of -1 in k 1.723 * [taylor]: Taking taylor expansion of k in k 1.725 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.725 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.725 * [taylor]: Taking taylor expansion of 0.5 in n 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.725 * [taylor]: Taking taylor expansion of k in n 1.725 * [taylor]: Taking taylor expansion of 1.0 in n 1.725 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.725 * [taylor]: Taking taylor expansion of -2.0 in n 1.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.725 * [taylor]: Taking taylor expansion of PI in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.729 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.729 * [taylor]: Taking taylor expansion of -1 in n 1.729 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.730 * [taylor]: Taking taylor expansion of 0.5 in n 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.730 * [taylor]: Taking taylor expansion of k in n 1.730 * [taylor]: Taking taylor expansion of 1.0 in n 1.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.730 * [taylor]: Taking taylor expansion of -2.0 in n 1.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.730 * [taylor]: Taking taylor expansion of PI in n 1.730 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.734 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.734 * [taylor]: Taking taylor expansion of -1 in n 1.734 * [taylor]: Taking taylor expansion of k in n 1.735 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.735 * [taylor]: Taking taylor expansion of 0.5 in k 1.735 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.735 * [taylor]: Taking taylor expansion of 1.0 in k 1.735 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.735 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.735 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.735 * [taylor]: Taking taylor expansion of -2.0 in k 1.735 * [taylor]: Taking taylor expansion of PI in k 1.736 * [taylor]: Taking taylor expansion of (log n) in k 1.736 * [taylor]: Taking taylor expansion of n in k 1.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.739 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.739 * [taylor]: Taking taylor expansion of -1 in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of 0 in k 1.767 * [taylor]: Taking taylor expansion of 0 in k 1.777 * * * [progress]: simplifying candidates 1.779 * [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 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(* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (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))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k)) (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 (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* +nan.0 (pow k 2)) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- (* +nan.0 (pow k 2))) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (fma (* (* +nan.0 k) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- +nan.0) (* (pow (* (* 2.0 PI) n) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2))) (fma (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 k) (fma (- (* +nan.0 (pow k 2))) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (fma (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* 2.0 PI)) (fma (- +nan.0) (* (* (pow k 2) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) +nan.0)))))))))) (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))))))))) 1.859 * * * [progress]: adding candidates to table 2.185 * * [progress]: iteration 3 / 4 2.185 * * * [progress]: picking best candidate 2.209 * * * * [pick]: Picked # 2.209 * * * [progress]: localizing error 2.223 * * * [progress]: generating rewritten candidates 2.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 2.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.239 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.244 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.275 * * * [progress]: generating series expansions 2.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 2.276 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.276 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.276 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.276 * [taylor]: Taking taylor expansion of 0.5 in k 2.276 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.276 * [taylor]: Taking taylor expansion of 1.0 in k 2.276 * [taylor]: Taking taylor expansion of k in k 2.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.276 * [taylor]: Taking taylor expansion of 2.0 in k 2.276 * [taylor]: Taking taylor expansion of (* n PI) in k 2.276 * [taylor]: Taking taylor expansion of n in k 2.277 * [taylor]: Taking taylor expansion of PI in k 2.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.278 * [taylor]: Taking taylor expansion of 0.5 in n 2.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.278 * [taylor]: Taking taylor expansion of 1.0 in n 2.278 * [taylor]: Taking taylor expansion of k in n 2.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.278 * [taylor]: Taking taylor expansion of 2.0 in n 2.278 * [taylor]: Taking taylor expansion of (* n PI) in n 2.278 * [taylor]: Taking taylor expansion of n in n 2.278 * [taylor]: Taking taylor expansion of PI in n 2.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.284 * [taylor]: Taking taylor expansion of 0.5 in n 2.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.284 * [taylor]: Taking taylor expansion of 1.0 in n 2.284 * [taylor]: Taking taylor expansion of k in n 2.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.284 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.284 * [taylor]: Taking taylor expansion of 2.0 in n 2.284 * [taylor]: Taking taylor expansion of (* n PI) in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.289 * [taylor]: Taking taylor expansion of 0.5 in k 2.289 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.289 * [taylor]: Taking taylor expansion of 1.0 in k 2.289 * [taylor]: Taking taylor expansion of k in k 2.289 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.289 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.289 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.289 * [taylor]: Taking taylor expansion of 2.0 in k 2.289 * [taylor]: Taking taylor expansion of PI in k 2.290 * [taylor]: Taking taylor expansion of (log n) in k 2.290 * [taylor]: Taking taylor expansion of n in k 2.300 * [taylor]: Taking taylor expansion of 0 in k 2.316 * [taylor]: Taking taylor expansion of 0 in k 2.343 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.343 * [taylor]: Taking taylor expansion of 0.5 in k 2.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.343 * [taylor]: Taking taylor expansion of 1.0 in k 2.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.343 * [taylor]: Taking taylor expansion of k in k 2.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.344 * [taylor]: Taking taylor expansion of 2.0 in k 2.344 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.344 * [taylor]: Taking taylor expansion of PI in k 2.344 * [taylor]: Taking taylor expansion of n in k 2.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.345 * [taylor]: Taking taylor expansion of 0.5 in n 2.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.345 * [taylor]: Taking taylor expansion of 1.0 in n 2.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.345 * [taylor]: Taking taylor expansion of k in n 2.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.345 * [taylor]: Taking taylor expansion of 2.0 in n 2.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.345 * [taylor]: Taking taylor expansion of PI in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.349 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.349 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.349 * [taylor]: Taking taylor expansion of 0.5 in n 2.349 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.349 * [taylor]: Taking taylor expansion of 1.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.349 * [taylor]: Taking taylor expansion of k in n 2.349 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.349 * [taylor]: Taking taylor expansion of 2.0 in n 2.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.353 * [taylor]: Taking taylor expansion of 0.5 in k 2.353 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.353 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.353 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.353 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.353 * [taylor]: Taking taylor expansion of 2.0 in k 2.353 * [taylor]: Taking taylor expansion of PI in k 2.354 * [taylor]: Taking taylor expansion of (log n) in k 2.354 * [taylor]: Taking taylor expansion of n in k 2.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.354 * [taylor]: Taking taylor expansion of 1.0 in k 2.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.354 * [taylor]: Taking taylor expansion of k in k 2.364 * [taylor]: Taking taylor expansion of 0 in k 2.371 * [taylor]: Taking taylor expansion of 0 in k 2.380 * [taylor]: Taking taylor expansion of 0 in k 2.382 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.382 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.382 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.382 * [taylor]: Taking taylor expansion of 0.5 in k 2.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.382 * [taylor]: Taking taylor expansion of k in k 2.382 * [taylor]: Taking taylor expansion of 1.0 in k 2.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.382 * [taylor]: Taking taylor expansion of -2.0 in k 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.382 * [taylor]: Taking taylor expansion of PI in k 2.382 * [taylor]: Taking taylor expansion of n in k 2.383 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.383 * [taylor]: Taking taylor expansion of 0.5 in n 2.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.383 * [taylor]: Taking taylor expansion of k in n 2.383 * [taylor]: Taking taylor expansion of 1.0 in n 2.383 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.383 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.383 * [taylor]: Taking taylor expansion of -2.0 in n 2.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.383 * [taylor]: Taking taylor expansion of PI in n 2.383 * [taylor]: Taking taylor expansion of n in n 2.387 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.387 * [taylor]: Taking taylor expansion of 0.5 in n 2.387 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.387 * [taylor]: Taking taylor expansion of k in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.387 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.387 * [taylor]: Taking taylor expansion of -2.0 in n 2.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.391 * [taylor]: Taking taylor expansion of 0.5 in k 2.391 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.391 * [taylor]: Taking taylor expansion of k in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.392 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.392 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.392 * [taylor]: Taking taylor expansion of -2.0 in k 2.392 * [taylor]: Taking taylor expansion of PI in k 2.393 * [taylor]: Taking taylor expansion of (log n) in k 2.393 * [taylor]: Taking taylor expansion of n in k 2.402 * [taylor]: Taking taylor expansion of 0 in k 2.409 * [taylor]: Taking taylor expansion of 0 in k 2.424 * [taylor]: Taking taylor expansion of 0 in k 2.425 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.425 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.426 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.426 * [taylor]: Taking taylor expansion of 2.0 in n 2.426 * [taylor]: Taking taylor expansion of (* n PI) in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.426 * [taylor]: Taking taylor expansion of PI in n 2.426 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.426 * [taylor]: Taking taylor expansion of 2.0 in n 2.426 * [taylor]: Taking taylor expansion of (* n PI) in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.426 * [taylor]: Taking taylor expansion of PI in n 2.438 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.438 * [taylor]: Taking taylor expansion of 2.0 in n 2.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.438 * [taylor]: Taking taylor expansion of PI in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.439 * [taylor]: Taking taylor expansion of 2.0 in n 2.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.439 * [taylor]: Taking taylor expansion of PI in n 2.439 * [taylor]: Taking taylor expansion of n in n 2.448 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.448 * [taylor]: Taking taylor expansion of -2.0 in n 2.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.448 * [taylor]: Taking taylor expansion of PI in n 2.448 * [taylor]: Taking taylor expansion of n in n 2.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.448 * [taylor]: Taking taylor expansion of -2.0 in n 2.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.448 * [taylor]: Taking taylor expansion of PI in n 2.448 * [taylor]: Taking taylor expansion of n in n 2.457 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.458 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.458 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.458 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.458 * [taylor]: Taking taylor expansion of 0.5 in n 2.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.458 * [taylor]: Taking taylor expansion of 1.0 in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.458 * [taylor]: Taking taylor expansion of 2.0 in n 2.458 * [taylor]: Taking taylor expansion of (* n PI) in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.465 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.465 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.465 * [taylor]: Taking taylor expansion of k in k 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.466 * [taylor]: Taking taylor expansion of 0.5 in k 2.466 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.466 * [taylor]: Taking taylor expansion of 1.0 in k 2.466 * [taylor]: Taking taylor expansion of k in k 2.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.466 * [taylor]: Taking taylor expansion of 2.0 in k 2.466 * [taylor]: Taking taylor expansion of (* n PI) in k 2.466 * [taylor]: Taking taylor expansion of n in k 2.466 * [taylor]: Taking taylor expansion of PI in k 2.467 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.467 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.467 * [taylor]: Taking taylor expansion of k in k 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.468 * [taylor]: Taking taylor expansion of 0.5 in k 2.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.468 * [taylor]: Taking taylor expansion of 1.0 in k 2.468 * [taylor]: Taking taylor expansion of k in k 2.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.468 * [taylor]: Taking taylor expansion of 2.0 in k 2.469 * [taylor]: Taking taylor expansion of (* n PI) in k 2.469 * [taylor]: Taking taylor expansion of n in k 2.469 * [taylor]: Taking taylor expansion of PI in k 2.470 * [taylor]: Taking taylor expansion of 0 in n 2.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 2.477 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 2.477 * [taylor]: Taking taylor expansion of +nan.0 in n 2.477 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 2.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.477 * [taylor]: Taking taylor expansion of 0.5 in n 2.478 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.478 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.478 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.478 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.478 * [taylor]: Taking taylor expansion of 1.0 in n 2.478 * [taylor]: Taking taylor expansion of (log PI) in n 2.478 * [taylor]: Taking taylor expansion of PI in n 2.480 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.480 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.480 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.480 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [taylor]: Taking taylor expansion of (log n) in n 2.480 * [taylor]: Taking taylor expansion of n in n 2.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.480 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.503 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 2.503 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 2.503 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 2.503 * [taylor]: Taking taylor expansion of +nan.0 in n 2.503 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.503 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.503 * [taylor]: Taking taylor expansion of 2.0 in n 2.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.505 * [taylor]: Taking taylor expansion of 1.0 in n 2.505 * [taylor]: Taking taylor expansion of (log n) in n 2.505 * [taylor]: Taking taylor expansion of n in n 2.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.506 * [taylor]: Taking taylor expansion of 1.0 in n 2.506 * [taylor]: Taking taylor expansion of (log PI) in n 2.506 * [taylor]: Taking taylor expansion of PI in n 2.519 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 2.519 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 2.519 * [taylor]: Taking taylor expansion of +nan.0 in n 2.519 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 2.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.519 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [taylor]: Taking taylor expansion of (* n PI) in n 2.519 * [taylor]: Taking taylor expansion of n in n 2.519 * [taylor]: Taking taylor expansion of PI in n 2.522 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 2.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.522 * [taylor]: Taking taylor expansion of 0.5 in n 2.522 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.522 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.523 * [taylor]: Taking taylor expansion of (log PI) in n 2.523 * [taylor]: Taking taylor expansion of PI in n 2.524 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (log n) in n 2.525 * [taylor]: Taking taylor expansion of n in n 2.525 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.525 * [taylor]: Taking taylor expansion of 2.0 in n 2.583 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n 2.583 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n 2.583 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 2.583 * [taylor]: Taking taylor expansion of +nan.0 in n 2.583 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.583 * [taylor]: Taking taylor expansion of 0.5 in n 2.583 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.584 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.584 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.584 * [taylor]: Taking taylor expansion of 1.0 in n 2.584 * [taylor]: Taking taylor expansion of (log PI) in n 2.584 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log n) in n 2.586 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.586 * [taylor]: Taking taylor expansion of 2.0 in n 2.593 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 2.593 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 2.593 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.593 * [taylor]: Taking taylor expansion of +nan.0 in n 2.593 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.593 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 2.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 2.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.593 * [taylor]: Taking taylor expansion of 0.5 in n 2.593 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.593 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.593 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.593 * [taylor]: Taking taylor expansion of 1.0 in n 2.593 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.593 * [taylor]: Taking taylor expansion of 2.0 in n 2.595 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.595 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.595 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.595 * [taylor]: Taking taylor expansion of 1.0 in n 2.595 * [taylor]: Taking taylor expansion of (log PI) in n 2.595 * [taylor]: Taking taylor expansion of PI in n 2.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [taylor]: Taking taylor expansion of (log n) in n 2.597 * [taylor]: Taking taylor expansion of n in n 2.602 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.608 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.608 * [taylor]: Taking taylor expansion of 2.0 in n 2.608 * [taylor]: Taking taylor expansion of (* n PI) in n 2.608 * [taylor]: Taking taylor expansion of n in n 2.608 * [taylor]: Taking taylor expansion of PI in n 2.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 2.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 2.612 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 2.612 * [taylor]: Taking taylor expansion of +nan.0 in n 2.612 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 2.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.612 * [taylor]: Taking taylor expansion of 2.0 in n 2.612 * [taylor]: Taking taylor expansion of (* n PI) in n 2.612 * [taylor]: Taking taylor expansion of n in n 2.612 * [taylor]: Taking taylor expansion of PI in n 2.615 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 2.615 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.615 * [taylor]: Taking taylor expansion of 0.5 in n 2.615 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.615 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.615 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [taylor]: Taking taylor expansion of (log PI) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.617 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.618 * [taylor]: Taking taylor expansion of 1.0 in n 2.618 * [taylor]: Taking taylor expansion of (log n) in n 2.618 * [taylor]: Taking taylor expansion of n in n 2.618 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.618 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.618 * [taylor]: Taking taylor expansion of 1.0 in n 2.618 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.624 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 2.624 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 2.625 * [taylor]: Taking taylor expansion of +nan.0 in n 2.625 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 2.625 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.625 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.625 * [taylor]: Taking taylor expansion of 2.0 in n 2.625 * [taylor]: Taking taylor expansion of (* n PI) in n 2.625 * [taylor]: Taking taylor expansion of n in n 2.625 * [taylor]: Taking taylor expansion of PI in n 2.629 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 2.629 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.629 * [taylor]: Taking taylor expansion of 0.5 in n 2.629 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.629 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.629 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.629 * [taylor]: Taking taylor expansion of 1.0 in n 2.629 * [taylor]: Taking taylor expansion of (log PI) in n 2.629 * [taylor]: Taking taylor expansion of PI in n 2.631 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.631 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.631 * [taylor]: Taking taylor expansion of 1.0 in n 2.631 * [taylor]: Taking taylor expansion of (log n) in n 2.631 * [taylor]: Taking taylor expansion of n in n 2.631 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.631 * [taylor]: Taking taylor expansion of 1.0 in n 2.631 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.631 * [taylor]: Taking taylor expansion of 2.0 in n 2.757 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.757 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.758 * [taylor]: Taking taylor expansion of k in n 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.758 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.758 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.758 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.758 * [taylor]: Taking taylor expansion of 0.5 in n 2.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.758 * [taylor]: Taking taylor expansion of 1.0 in n 2.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.758 * [taylor]: Taking taylor expansion of k in n 2.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.758 * [taylor]: Taking taylor expansion of 2.0 in n 2.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.758 * [taylor]: Taking taylor expansion of PI in n 2.758 * [taylor]: Taking taylor expansion of n in n 2.763 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.763 * [taylor]: Taking taylor expansion of k in k 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.764 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.764 * [taylor]: Taking taylor expansion of 0.5 in k 2.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.764 * [taylor]: Taking taylor expansion of 1.0 in k 2.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.764 * [taylor]: Taking taylor expansion of k in k 2.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.765 * [taylor]: Taking taylor expansion of 2.0 in k 2.765 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.765 * [taylor]: Taking taylor expansion of PI in k 2.765 * [taylor]: Taking taylor expansion of n in k 2.766 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.766 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.766 * [taylor]: Taking taylor expansion of k in k 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.767 * [taylor]: Taking taylor expansion of 0.5 in k 2.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.768 * [taylor]: Taking taylor expansion of 2.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.768 * [taylor]: Taking taylor expansion of PI in k 2.768 * [taylor]: Taking taylor expansion of n in k 2.769 * [taylor]: Taking taylor expansion of 0 in n 2.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.770 * [taylor]: Taking taylor expansion of +nan.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.770 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.770 * [taylor]: Taking taylor expansion of 2.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.770 * [taylor]: Taking taylor expansion of PI in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.772 * [taylor]: Taking taylor expansion of 1.0 in n 2.772 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.772 * [taylor]: Taking taylor expansion of k in n 2.787 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.787 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.787 * [taylor]: Taking taylor expansion of +nan.0 in n 2.787 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.787 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.787 * [taylor]: Taking taylor expansion of 0.5 in n 2.787 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.787 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.787 * [taylor]: Taking taylor expansion of 2.0 in n 2.787 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.787 * [taylor]: Taking taylor expansion of PI in n 2.787 * [taylor]: Taking taylor expansion of n in n 2.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.789 * [taylor]: Taking taylor expansion of 1.0 in n 2.789 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.789 * [taylor]: Taking taylor expansion of k in n 2.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.808 * [taylor]: Taking taylor expansion of +nan.0 in n 2.808 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.808 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.808 * [taylor]: Taking taylor expansion of 0.5 in n 2.808 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.809 * [taylor]: Taking taylor expansion of 2.0 in n 2.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.810 * [taylor]: Taking taylor expansion of 1.0 in n 2.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.810 * [taylor]: Taking taylor expansion of k in n 2.820 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.820 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.820 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.820 * [taylor]: Taking taylor expansion of -1 in n 2.820 * [taylor]: Taking taylor expansion of k in n 2.820 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.820 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.820 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.820 * [taylor]: Taking taylor expansion of 0.5 in n 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.820 * [taylor]: Taking taylor expansion of k in n 2.820 * [taylor]: Taking taylor expansion of 1.0 in n 2.820 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.820 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.820 * [taylor]: Taking taylor expansion of -2.0 in n 2.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.820 * [taylor]: Taking taylor expansion of PI in n 2.820 * [taylor]: Taking taylor expansion of n in n 2.825 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.825 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.825 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.825 * [taylor]: Taking taylor expansion of -1 in k 2.825 * [taylor]: Taking taylor expansion of k in k 2.826 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.826 * [taylor]: Taking taylor expansion of 0.5 in k 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.826 * [taylor]: Taking taylor expansion of k in k 2.827 * [taylor]: Taking taylor expansion of 1.0 in k 2.827 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.827 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.827 * [taylor]: Taking taylor expansion of -2.0 in k 2.827 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.827 * [taylor]: Taking taylor expansion of PI in k 2.827 * [taylor]: Taking taylor expansion of n in k 2.828 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.828 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.828 * [taylor]: Taking taylor expansion of -1 in k 2.828 * [taylor]: Taking taylor expansion of k in k 2.829 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.829 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.829 * [taylor]: Taking taylor expansion of 0.5 in k 2.829 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.829 * [taylor]: Taking taylor expansion of k in k 2.829 * [taylor]: Taking taylor expansion of 1.0 in k 2.830 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.830 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.830 * [taylor]: Taking taylor expansion of -2.0 in k 2.830 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.830 * [taylor]: Taking taylor expansion of PI in k 2.830 * [taylor]: Taking taylor expansion of n in k 2.831 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.831 * [taylor]: Taking taylor expansion of +nan.0 in n 2.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.831 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.831 * [taylor]: Taking taylor expansion of 0.5 in n 2.831 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.831 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.831 * [taylor]: Taking taylor expansion of k in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.831 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.831 * [taylor]: Taking taylor expansion of -2.0 in n 2.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.831 * [taylor]: Taking taylor expansion of PI in n 2.831 * [taylor]: Taking taylor expansion of n in n 2.840 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 2.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.840 * [taylor]: Taking taylor expansion of +nan.0 in n 2.840 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.840 * [taylor]: Taking taylor expansion of 0.5 in n 2.840 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.840 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.840 * [taylor]: Taking taylor expansion of k in n 2.840 * [taylor]: Taking taylor expansion of 1.0 in n 2.840 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.840 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.840 * [taylor]: Taking taylor expansion of -2.0 in n 2.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.840 * [taylor]: Taking taylor expansion of PI in n 2.840 * [taylor]: Taking taylor expansion of n in n 2.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 2.859 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.859 * [taylor]: Taking taylor expansion of +nan.0 in n 2.859 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.860 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.860 * [taylor]: Taking taylor expansion of 0.5 in n 2.860 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.860 * [taylor]: Taking taylor expansion of k in n 2.860 * [taylor]: Taking taylor expansion of 1.0 in n 2.860 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.860 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.860 * [taylor]: Taking taylor expansion of -2.0 in n 2.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.860 * [taylor]: Taking taylor expansion of PI in n 2.860 * [taylor]: Taking taylor expansion of n in n 2.870 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.871 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (k n) around 0 2.871 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.871 * [taylor]: Taking taylor expansion of k in n 2.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.871 * [taylor]: Taking taylor expansion of 0.5 in n 2.871 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.871 * [taylor]: Taking taylor expansion of 1.0 in n 2.871 * [taylor]: Taking taylor expansion of k in n 2.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.871 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.871 * [taylor]: Taking taylor expansion of 2.0 in n 2.871 * [taylor]: Taking taylor expansion of (* n PI) in n 2.871 * [taylor]: Taking taylor expansion of n in n 2.871 * [taylor]: Taking taylor expansion of PI in n 2.883 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.883 * [taylor]: Taking taylor expansion of k in k 2.884 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.884 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.884 * [taylor]: Taking taylor expansion of 0.5 in k 2.884 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.884 * [taylor]: Taking taylor expansion of 1.0 in k 2.884 * [taylor]: Taking taylor expansion of k in k 2.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.884 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.885 * [taylor]: Taking taylor expansion of 2.0 in k 2.885 * [taylor]: Taking taylor expansion of (* n PI) in k 2.885 * [taylor]: Taking taylor expansion of n in k 2.885 * [taylor]: Taking taylor expansion of PI in k 2.885 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.886 * [taylor]: Taking taylor expansion of k in k 2.887 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.887 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.887 * [taylor]: Taking taylor expansion of 0.5 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 (* n PI))) in k 2.887 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.887 * [taylor]: Taking taylor expansion of 2.0 in k 2.887 * [taylor]: Taking taylor expansion of (* n PI) in k 2.887 * [taylor]: Taking taylor expansion of n in k 2.887 * [taylor]: Taking taylor expansion of PI in k 2.888 * [taylor]: Taking taylor expansion of 0 in n 2.893 * [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 2.893 * [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 2.893 * [taylor]: Taking taylor expansion of +nan.0 in n 2.893 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.893 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.893 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.893 * [taylor]: Taking taylor expansion of 0.5 in n 2.893 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.893 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.893 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.893 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.893 * [taylor]: Taking taylor expansion of 1.0 in n 2.893 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.893 * [taylor]: Taking taylor expansion of 2.0 in n 2.895 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.895 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.895 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.895 * [taylor]: Taking taylor expansion of 1.0 in n 2.895 * [taylor]: Taking taylor expansion of (log n) in n 2.895 * [taylor]: Taking taylor expansion of n in n 2.896 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.896 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [taylor]: Taking taylor expansion of (log PI) in n 2.896 * [taylor]: Taking taylor expansion of PI in n 2.912 * [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 2.913 * [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 2.913 * [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 2.913 * [taylor]: Taking taylor expansion of +nan.0 in n 2.913 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.913 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.913 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.913 * [taylor]: Taking taylor expansion of 0.5 in n 2.913 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.913 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.913 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.913 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.913 * [taylor]: Taking taylor expansion of 1.0 in n 2.913 * [taylor]: Taking taylor expansion of (log PI) in n 2.913 * [taylor]: Taking taylor expansion of PI in n 2.915 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.915 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.915 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.915 * [taylor]: Taking taylor expansion of 1.0 in n 2.915 * [taylor]: Taking taylor expansion of (log n) in n 2.915 * [taylor]: Taking taylor expansion of n in n 2.915 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.915 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.915 * [taylor]: Taking taylor expansion of 1.0 in n 2.915 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.916 * [taylor]: Taking taylor expansion of 2.0 in n 2.921 * [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 2.921 * [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 2.921 * [taylor]: Taking taylor expansion of +nan.0 in n 2.921 * [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 2.921 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.921 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.921 * [taylor]: Taking taylor expansion of 0.5 in n 2.921 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.921 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.921 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.921 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.921 * [taylor]: Taking taylor expansion of 1.0 in n 2.921 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.921 * [taylor]: Taking taylor expansion of 2.0 in n 2.923 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.923 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.923 * [taylor]: Taking taylor expansion of 1.0 in n 2.923 * [taylor]: Taking taylor expansion of (log PI) in n 2.923 * [taylor]: Taking taylor expansion of PI in n 2.925 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.925 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.925 * [taylor]: Taking taylor expansion of 1.0 in n 2.925 * [taylor]: Taking taylor expansion of (log n) in n 2.925 * [taylor]: Taking taylor expansion of n in n 2.929 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.929 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.929 * [taylor]: Taking taylor expansion of 2.0 in n 2.929 * [taylor]: Taking taylor expansion of (* n PI) in n 2.929 * [taylor]: Taking taylor expansion of n in n 2.929 * [taylor]: Taking taylor expansion of PI in n 2.980 * [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 2.980 * [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 2.980 * [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 2.980 * [taylor]: Taking taylor expansion of +nan.0 in n 2.980 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.980 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.980 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.980 * [taylor]: Taking taylor expansion of 0.5 in n 2.980 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.980 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.980 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.980 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.980 * [taylor]: Taking taylor expansion of 1.0 in n 2.980 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.982 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.982 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.982 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.982 * [taylor]: Taking taylor expansion of 1.0 in n 2.982 * [taylor]: Taking taylor expansion of (log n) in n 2.982 * [taylor]: Taking taylor expansion of n in n 2.983 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.983 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.983 * [taylor]: Taking taylor expansion of 1.0 in n 2.983 * [taylor]: Taking taylor expansion of (log PI) in n 2.983 * [taylor]: Taking taylor expansion of PI in n 2.989 * [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 2.989 * [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 2.989 * [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 2.989 * [taylor]: Taking taylor expansion of +nan.0 in n 2.989 * [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 2.989 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.989 * [taylor]: Taking taylor expansion of 0.5 in n 2.989 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.989 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.989 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.989 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.989 * [taylor]: Taking taylor expansion of 1.0 in n 2.989 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.989 * [taylor]: Taking taylor expansion of 2.0 in n 2.991 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.991 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.991 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.991 * [taylor]: Taking taylor expansion of 1.0 in n 2.991 * [taylor]: Taking taylor expansion of (log PI) in n 2.991 * [taylor]: Taking taylor expansion of PI in n 2.993 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.993 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.993 * [taylor]: Taking taylor expansion of 1.0 in n 2.993 * [taylor]: Taking taylor expansion of (log n) in n 2.993 * [taylor]: Taking taylor expansion of n in n 2.997 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.997 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.997 * [taylor]: Taking taylor expansion of 2.0 in n 2.997 * [taylor]: Taking taylor expansion of (* n PI) in n 2.997 * [taylor]: Taking taylor expansion of n in n 2.997 * [taylor]: Taking taylor expansion of PI in n 3.000 * [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 3.000 * [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 3.000 * [taylor]: Taking taylor expansion of +nan.0 in n 3.000 * [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 3.000 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.000 * [taylor]: Taking taylor expansion of 0.5 in n 3.000 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.000 * [taylor]: Taking taylor expansion of 1.0 in n 3.000 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.000 * [taylor]: Taking taylor expansion of 2.0 in n 3.002 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.002 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.002 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.002 * [taylor]: Taking taylor expansion of 1.0 in n 3.002 * [taylor]: Taking taylor expansion of (log PI) in n 3.002 * [taylor]: Taking taylor expansion of PI in n 3.004 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.004 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.004 * [taylor]: Taking taylor expansion of 1.0 in n 3.004 * [taylor]: Taking taylor expansion of (log n) in n 3.004 * [taylor]: Taking taylor expansion of n in n 3.008 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.009 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.009 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.009 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (* n PI) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.088 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 3.088 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.088 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.088 * [taylor]: Taking taylor expansion of k in n 3.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.089 * [taylor]: Taking taylor expansion of 0.5 in n 3.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.089 * [taylor]: Taking taylor expansion of 1.0 in n 3.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.089 * [taylor]: Taking taylor expansion of k in n 3.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.089 * [taylor]: Taking taylor expansion of 2.0 in n 3.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.089 * [taylor]: Taking taylor expansion of PI in n 3.089 * [taylor]: Taking taylor expansion of n in n 3.093 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.093 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.093 * [taylor]: Taking taylor expansion of k in k 3.094 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.094 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.094 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.094 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.094 * [taylor]: Taking taylor expansion of 0.5 in k 3.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.094 * [taylor]: Taking taylor expansion of 1.0 in k 3.094 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.094 * [taylor]: Taking taylor expansion of k in k 3.094 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.094 * [taylor]: Taking taylor expansion of 2.0 in k 3.094 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.094 * [taylor]: Taking taylor expansion of PI in k 3.094 * [taylor]: Taking taylor expansion of n in k 3.095 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.096 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.096 * [taylor]: Taking taylor expansion of k in k 3.097 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.097 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.097 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.097 * [taylor]: Taking taylor expansion of 0.5 in k 3.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.097 * [taylor]: Taking taylor expansion of 1.0 in k 3.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.097 * [taylor]: Taking taylor expansion of k in k 3.097 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.097 * [taylor]: Taking taylor expansion of 2.0 in k 3.097 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.097 * [taylor]: Taking taylor expansion of PI in k 3.097 * [taylor]: Taking taylor expansion of n in k 3.098 * [taylor]: Taking taylor expansion of 0 in n 3.099 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.099 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.099 * [taylor]: Taking taylor expansion of +nan.0 in n 3.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.099 * [taylor]: Taking taylor expansion of 0.5 in n 3.099 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.099 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.099 * [taylor]: Taking taylor expansion of 2.0 in n 3.099 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.099 * [taylor]: Taking taylor expansion of PI in n 3.099 * [taylor]: Taking taylor expansion of n in n 3.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.100 * [taylor]: Taking taylor expansion of 1.0 in n 3.100 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.100 * [taylor]: Taking taylor expansion of k in n 3.108 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.108 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.108 * [taylor]: Taking taylor expansion of +nan.0 in n 3.108 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.108 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.108 * [taylor]: Taking taylor expansion of 0.5 in n 3.108 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.108 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.108 * [taylor]: Taking taylor expansion of 2.0 in n 3.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.108 * [taylor]: Taking taylor expansion of PI in n 3.108 * [taylor]: Taking taylor expansion of n in n 3.110 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.110 * [taylor]: Taking taylor expansion of 1.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.110 * [taylor]: Taking taylor expansion of k in n 3.126 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.126 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.126 * [taylor]: Taking taylor expansion of +nan.0 in n 3.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.126 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.126 * [taylor]: Taking taylor expansion of 0.5 in n 3.126 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.126 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.126 * [taylor]: Taking taylor expansion of 2.0 in n 3.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.126 * [taylor]: Taking taylor expansion of PI in n 3.126 * [taylor]: Taking taylor expansion of n in n 3.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.128 * [taylor]: Taking taylor expansion of 1.0 in n 3.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.128 * [taylor]: Taking taylor expansion of k in n 3.137 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k n) around 0 3.137 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.137 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.137 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.137 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.137 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.137 * [taylor]: Taking taylor expansion of 0.5 in n 3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.137 * [taylor]: Taking taylor expansion of k in n 3.137 * [taylor]: Taking taylor expansion of 1.0 in n 3.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.137 * [taylor]: Taking taylor expansion of -2.0 in n 3.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.137 * [taylor]: Taking taylor expansion of PI in n 3.137 * [taylor]: Taking taylor expansion of n in n 3.141 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.141 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.141 * [taylor]: Taking taylor expansion of -1 in n 3.141 * [taylor]: Taking taylor expansion of k in n 3.142 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.142 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.142 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.142 * [taylor]: Taking taylor expansion of 0.5 in k 3.142 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.142 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.142 * [taylor]: Taking taylor expansion of k in k 3.142 * [taylor]: Taking taylor expansion of 1.0 in k 3.142 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.142 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.142 * [taylor]: Taking taylor expansion of -2.0 in k 3.142 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.142 * [taylor]: Taking taylor expansion of PI in k 3.142 * [taylor]: Taking taylor expansion of n in k 3.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.143 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.143 * [taylor]: Taking taylor expansion of -1 in k 3.143 * [taylor]: Taking taylor expansion of k in k 3.145 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.145 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.145 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.145 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.145 * [taylor]: Taking taylor expansion of 0.5 in k 3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.145 * [taylor]: Taking taylor expansion of k in k 3.145 * [taylor]: Taking taylor expansion of 1.0 in k 3.145 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.145 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.145 * [taylor]: Taking taylor expansion of -2.0 in k 3.145 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.145 * [taylor]: Taking taylor expansion of PI in k 3.145 * [taylor]: Taking taylor expansion of n in k 3.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.146 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.146 * [taylor]: Taking taylor expansion of -1 in k 3.146 * [taylor]: Taking taylor expansion of k in k 3.153 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.153 * [taylor]: Taking taylor expansion of +nan.0 in n 3.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.154 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.154 * [taylor]: Taking taylor expansion of 0.5 in n 3.154 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.154 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.154 * [taylor]: Taking taylor expansion of k in n 3.154 * [taylor]: Taking taylor expansion of 1.0 in n 3.154 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.154 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.154 * [taylor]: Taking taylor expansion of -2.0 in n 3.154 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.154 * [taylor]: Taking taylor expansion of PI in n 3.154 * [taylor]: Taking taylor expansion of n in n 3.163 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.163 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.163 * [taylor]: Taking taylor expansion of +nan.0 in n 3.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.163 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.163 * [taylor]: Taking taylor expansion of 0.5 in n 3.163 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.163 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.164 * [taylor]: Taking taylor expansion of k in n 3.164 * [taylor]: Taking taylor expansion of 1.0 in n 3.164 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.164 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.164 * [taylor]: Taking taylor expansion of -2.0 in n 3.164 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.164 * [taylor]: Taking taylor expansion of PI in n 3.164 * [taylor]: Taking taylor expansion of n in n 3.181 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.182 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.182 * [taylor]: Taking taylor expansion of +nan.0 in n 3.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.182 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.182 * [taylor]: Taking taylor expansion of 0.5 in n 3.182 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.182 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.182 * [taylor]: Taking taylor expansion of k in n 3.182 * [taylor]: Taking taylor expansion of 1.0 in n 3.182 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.182 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.182 * [taylor]: Taking taylor expansion of -2.0 in n 3.182 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.182 * [taylor]: Taking taylor expansion of PI in n 3.182 * [taylor]: Taking taylor expansion of n in n 3.191 * * * [progress]: simplifying candidates 3.197 * [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) (/ (/ 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2.0))) (/ 1 (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) 1 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) 1 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (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 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1 (fabs (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (fabs (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1 (fabs (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (fabs (cbrt k))) (* (/ 1 (fabs (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (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 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* 2.0 PI) (/ (- 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)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ 1 (/ (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ 1 (/ (sqrt (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 (/ (sqrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* 2.0 PI) (/ (- 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)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (/ 1 (sqrt k)) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt 1)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (- (fma (* 0.25 (pow k 2)) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (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) (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))))) (+ (- (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))) (fma +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))) (+ (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (fma +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) 3.262 * * * [progress]: adding candidates to table 3.971 * * [progress]: iteration 4 / 4 3.972 * * * [progress]: picking best candidate 3.991 * * * * [pick]: Picked # 3.991 * * * [progress]: localizing error 4.006 * * * [progress]: generating rewritten candidates 4.006 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 4.015 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 4.022 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 4.027 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.056 * * * [progress]: generating series expansions 4.056 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 4.057 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.057 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.057 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.057 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.057 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.057 * [taylor]: Taking taylor expansion of 0.5 in k 4.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.057 * [taylor]: Taking taylor expansion of 1.0 in k 4.057 * [taylor]: Taking taylor expansion of k in k 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.057 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.057 * [taylor]: Taking taylor expansion of 2.0 in k 4.057 * [taylor]: Taking taylor expansion of (* n PI) in k 4.057 * [taylor]: Taking taylor expansion of n in k 4.057 * [taylor]: Taking taylor expansion of PI in k 4.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.058 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.058 * [taylor]: Taking taylor expansion of 0.5 in n 4.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.059 * [taylor]: Taking taylor expansion of 1.0 in n 4.059 * [taylor]: Taking taylor expansion of k in n 4.059 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.059 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.059 * [taylor]: Taking taylor expansion of 2.0 in n 4.059 * [taylor]: Taking taylor expansion of (* n PI) in n 4.059 * [taylor]: Taking taylor expansion of n in n 4.059 * [taylor]: Taking taylor expansion of PI in n 4.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.064 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.064 * [taylor]: Taking taylor expansion of 0.5 in n 4.064 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.064 * [taylor]: Taking taylor expansion of 1.0 in n 4.064 * [taylor]: Taking taylor expansion of k in n 4.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.064 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.064 * [taylor]: Taking taylor expansion of 2.0 in n 4.064 * [taylor]: Taking taylor expansion of (* n PI) in n 4.064 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.070 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.070 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.070 * [taylor]: Taking taylor expansion of 0.5 in k 4.070 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.070 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.070 * [taylor]: Taking taylor expansion of 1.0 in k 4.070 * [taylor]: Taking taylor expansion of k in k 4.070 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.070 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.070 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.070 * [taylor]: Taking taylor expansion of 2.0 in k 4.070 * [taylor]: Taking taylor expansion of PI in k 4.071 * [taylor]: Taking taylor expansion of (log n) in k 4.071 * [taylor]: Taking taylor expansion of n in k 4.081 * [taylor]: Taking taylor expansion of 0 in k 4.097 * [taylor]: Taking taylor expansion of 0 in k 4.116 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.116 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.116 * [taylor]: Taking taylor expansion of 0.5 in k 4.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.116 * [taylor]: Taking taylor expansion of 1.0 in k 4.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.116 * [taylor]: Taking taylor expansion of k in k 4.116 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.116 * [taylor]: Taking taylor expansion of 2.0 in k 4.116 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.116 * [taylor]: Taking taylor expansion of PI in k 4.116 * [taylor]: Taking taylor expansion of n in k 4.117 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.117 * [taylor]: Taking taylor expansion of 0.5 in n 4.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.117 * [taylor]: Taking taylor expansion of 1.0 in n 4.117 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.117 * [taylor]: Taking taylor expansion of k in n 4.117 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.117 * [taylor]: Taking taylor expansion of 2.0 in n 4.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.118 * [taylor]: Taking taylor expansion of PI in n 4.118 * [taylor]: Taking taylor expansion of n in n 4.128 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.128 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.128 * [taylor]: Taking taylor expansion of 0.5 in n 4.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.128 * [taylor]: Taking taylor expansion of 1.0 in n 4.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.128 * [taylor]: Taking taylor expansion of k in n 4.128 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.128 * [taylor]: Taking taylor expansion of 2.0 in n 4.128 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.128 * [taylor]: Taking taylor expansion of PI in n 4.129 * [taylor]: Taking taylor expansion of n in n 4.132 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.132 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.132 * [taylor]: Taking taylor expansion of 0.5 in k 4.132 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.132 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.132 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.132 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.132 * [taylor]: Taking taylor expansion of 2.0 in k 4.132 * [taylor]: Taking taylor expansion of PI in k 4.133 * [taylor]: Taking taylor expansion of (log n) in k 4.133 * [taylor]: Taking taylor expansion of n in k 4.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.133 * [taylor]: Taking taylor expansion of 1.0 in k 4.133 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.133 * [taylor]: Taking taylor expansion of k in k 4.143 * [taylor]: Taking taylor expansion of 0 in k 4.150 * [taylor]: Taking taylor expansion of 0 in k 4.159 * [taylor]: Taking taylor expansion of 0 in k 4.160 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.160 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.160 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.160 * [taylor]: Taking taylor expansion of 0.5 in k 4.160 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.160 * [taylor]: Taking taylor expansion of k in k 4.161 * [taylor]: Taking taylor expansion of 1.0 in k 4.161 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.161 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.161 * [taylor]: Taking taylor expansion of -2.0 in k 4.161 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.161 * [taylor]: Taking taylor expansion of PI in k 4.161 * [taylor]: Taking taylor expansion of n in k 4.162 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.162 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.162 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.162 * [taylor]: Taking taylor expansion of 0.5 in n 4.162 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.162 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.162 * [taylor]: Taking taylor expansion of k in n 4.162 * [taylor]: Taking taylor expansion of 1.0 in n 4.162 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.162 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.162 * [taylor]: Taking taylor expansion of -2.0 in n 4.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.162 * [taylor]: Taking taylor expansion of PI in n 4.162 * [taylor]: Taking taylor expansion of n in n 4.165 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.165 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.165 * [taylor]: Taking taylor expansion of 0.5 in n 4.165 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.166 * [taylor]: Taking taylor expansion of k in n 4.166 * [taylor]: Taking taylor expansion of 1.0 in n 4.166 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.166 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.166 * [taylor]: Taking taylor expansion of -2.0 in n 4.166 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.166 * [taylor]: Taking taylor expansion of PI in n 4.166 * [taylor]: Taking taylor expansion of n in n 4.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.170 * [taylor]: Taking taylor expansion of 0.5 in k 4.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.170 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.170 * [taylor]: Taking taylor expansion of k in k 4.170 * [taylor]: Taking taylor expansion of 1.0 in k 4.170 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.170 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.170 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.170 * [taylor]: Taking taylor expansion of -2.0 in k 4.170 * [taylor]: Taking taylor expansion of PI in k 4.171 * [taylor]: Taking taylor expansion of (log n) in k 4.171 * [taylor]: Taking taylor expansion of n in k 4.180 * [taylor]: Taking taylor expansion of 0 in k 4.187 * [taylor]: Taking taylor expansion of 0 in k 4.195 * [taylor]: Taking taylor expansion of 0 in k 4.196 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 4.197 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.197 * [taylor]: Taking taylor expansion of 2.0 in n 4.197 * [taylor]: Taking taylor expansion of (* n PI) in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.197 * [taylor]: Taking taylor expansion of PI in n 4.197 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.197 * [taylor]: Taking taylor expansion of 2.0 in n 4.197 * [taylor]: Taking taylor expansion of (* n PI) in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.197 * [taylor]: Taking taylor expansion of PI in n 4.216 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.216 * [taylor]: Taking taylor expansion of 2.0 in n 4.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.216 * [taylor]: Taking taylor expansion of PI in n 4.216 * [taylor]: Taking taylor expansion of n in n 4.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.217 * [taylor]: Taking taylor expansion of 2.0 in n 4.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.217 * [taylor]: Taking taylor expansion of n in n 4.226 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.226 * [taylor]: Taking taylor expansion of -2.0 in n 4.226 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.226 * [taylor]: Taking taylor expansion of PI in n 4.226 * [taylor]: Taking taylor expansion of n in n 4.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.227 * [taylor]: Taking taylor expansion of -2.0 in n 4.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.227 * [taylor]: Taking taylor expansion of PI in n 4.227 * [taylor]: Taking taylor expansion of n in n 4.235 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 4.236 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 4.236 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.236 * [taylor]: Taking taylor expansion of 0.5 in k 4.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.236 * [taylor]: Taking taylor expansion of 1.0 in k 4.236 * [taylor]: Taking taylor expansion of k in k 4.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.236 * [taylor]: Taking taylor expansion of 2.0 in k 4.236 * [taylor]: Taking taylor expansion of (* n PI) in k 4.236 * [taylor]: Taking taylor expansion of n in k 4.236 * [taylor]: Taking taylor expansion of PI in k 4.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.237 * [taylor]: Taking taylor expansion of k in k 4.238 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.239 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.239 * [taylor]: Taking taylor expansion of 0.5 in n 4.239 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.239 * [taylor]: Taking taylor expansion of 1.0 in n 4.239 * [taylor]: Taking taylor expansion of k in n 4.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.239 * [taylor]: Taking taylor expansion of 2.0 in n 4.239 * [taylor]: Taking taylor expansion of (* n PI) in n 4.239 * [taylor]: Taking taylor expansion of n in n 4.239 * [taylor]: Taking taylor expansion of PI in n 4.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.244 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.244 * [taylor]: Taking taylor expansion of k in n 4.244 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.244 * [taylor]: Taking taylor expansion of 0.5 in n 4.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.244 * [taylor]: Taking taylor expansion of 1.0 in n 4.244 * [taylor]: Taking taylor expansion of k in n 4.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.244 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.244 * [taylor]: Taking taylor expansion of 2.0 in n 4.244 * [taylor]: Taking taylor expansion of (* n PI) in n 4.245 * [taylor]: Taking taylor expansion of n in n 4.245 * [taylor]: Taking taylor expansion of PI in n 4.250 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.250 * [taylor]: Taking taylor expansion of k in n 4.251 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.251 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.252 * [taylor]: Taking taylor expansion of 2.0 in k 4.252 * [taylor]: Taking taylor expansion of PI in k 4.253 * [taylor]: Taking taylor expansion of (log n) in k 4.253 * [taylor]: Taking taylor expansion of n in k 4.264 * [taylor]: Taking taylor expansion of 0 in k 4.286 * [taylor]: Taking taylor expansion of 0 in k 4.327 * [taylor]: Taking taylor expansion of 0 in k 4.374 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 4.374 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.374 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.375 * [taylor]: Taking taylor expansion of 0.5 in k 4.375 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.375 * [taylor]: Taking taylor expansion of 1.0 in k 4.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.375 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.376 * [taylor]: Taking taylor expansion of 2.0 in k 4.376 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.376 * [taylor]: Taking taylor expansion of PI in k 4.376 * [taylor]: Taking taylor expansion of n in k 4.377 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.377 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.377 * [taylor]: Taking taylor expansion of k in n 4.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.377 * [taylor]: Taking taylor expansion of 0.5 in n 4.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.377 * [taylor]: Taking taylor expansion of 1.0 in n 4.377 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.377 * [taylor]: Taking taylor expansion of k in n 4.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.377 * [taylor]: Taking taylor expansion of 2.0 in n 4.377 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.377 * [taylor]: Taking taylor expansion of PI in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.381 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.381 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.381 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.381 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.381 * [taylor]: Taking taylor expansion of 0.5 in n 4.381 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.381 * [taylor]: Taking taylor expansion of 1.0 in n 4.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.381 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.381 * [taylor]: Taking taylor expansion of 2.0 in n 4.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.381 * [taylor]: Taking taylor expansion of PI in n 4.381 * [taylor]: Taking taylor expansion of n in n 4.521 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.521 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.521 * [taylor]: Taking taylor expansion of k in k 4.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.522 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.522 * [taylor]: Taking taylor expansion of 0.5 in k 4.522 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.522 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.522 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.522 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.522 * [taylor]: Taking taylor expansion of 2.0 in k 4.522 * [taylor]: Taking taylor expansion of PI in k 4.523 * [taylor]: Taking taylor expansion of (log n) in k 4.523 * [taylor]: Taking taylor expansion of n in k 4.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.523 * [taylor]: Taking taylor expansion of 1.0 in k 4.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.523 * [taylor]: Taking taylor expansion of k in k 4.534 * [taylor]: Taking taylor expansion of 0 in k 4.545 * [taylor]: Taking taylor expansion of 0 in k 4.559 * [taylor]: Taking taylor expansion of 0 in k 4.567 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 4.567 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.567 * [taylor]: Taking taylor expansion of 0.5 in k 4.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.567 * [taylor]: Taking taylor expansion of k in k 4.568 * [taylor]: Taking taylor expansion of 1.0 in k 4.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.568 * [taylor]: Taking taylor expansion of -2.0 in k 4.568 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.568 * [taylor]: Taking taylor expansion of PI in k 4.568 * [taylor]: Taking taylor expansion of n in k 4.569 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.569 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.569 * [taylor]: Taking taylor expansion of -1 in k 4.569 * [taylor]: Taking taylor expansion of k in k 4.570 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.570 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.570 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.570 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.570 * [taylor]: Taking taylor expansion of 0.5 in n 4.570 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.570 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.570 * [taylor]: Taking taylor expansion of k in n 4.570 * [taylor]: Taking taylor expansion of 1.0 in n 4.570 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.570 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.570 * [taylor]: Taking taylor expansion of -2.0 in n 4.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.570 * [taylor]: Taking taylor expansion of PI in n 4.570 * [taylor]: Taking taylor expansion of n in n 4.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.574 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.574 * [taylor]: Taking taylor expansion of -1 in n 4.574 * [taylor]: Taking taylor expansion of k in n 4.575 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.575 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.575 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.575 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.575 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.575 * [taylor]: Taking taylor expansion of 0.5 in n 4.575 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.575 * [taylor]: Taking taylor expansion of k in n 4.575 * [taylor]: Taking taylor expansion of 1.0 in n 4.575 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.575 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.575 * [taylor]: Taking taylor expansion of -2.0 in n 4.575 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.575 * [taylor]: Taking taylor expansion of PI in n 4.575 * [taylor]: Taking taylor expansion of n in n 4.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.579 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.579 * [taylor]: Taking taylor expansion of -1 in n 4.579 * [taylor]: Taking taylor expansion of k in n 4.580 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.580 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.580 * [taylor]: Taking taylor expansion of 0.5 in k 4.580 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.580 * [taylor]: Taking taylor expansion of k in k 4.580 * [taylor]: Taking taylor expansion of 1.0 in k 4.580 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.580 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.580 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.580 * [taylor]: Taking taylor expansion of -2.0 in k 4.580 * [taylor]: Taking taylor expansion of PI in k 4.581 * [taylor]: Taking taylor expansion of (log n) in k 4.581 * [taylor]: Taking taylor expansion of n in k 4.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.584 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.584 * [taylor]: Taking taylor expansion of -1 in k 4.584 * [taylor]: Taking taylor expansion of k in k 4.593 * [taylor]: Taking taylor expansion of 0 in k 4.610 * [taylor]: Taking taylor expansion of 0 in k 4.618 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.619 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) (sqrt k)) in (n k) around 0 4.619 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) (sqrt k)) in k 4.619 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.619 * [taylor]: Taking taylor expansion of 0.5 in k 4.619 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.619 * [taylor]: Taking taylor expansion of 1.0 in k 4.619 * [taylor]: Taking taylor expansion of k in k 4.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.619 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.619 * [taylor]: Taking taylor expansion of 2.0 in k 4.619 * [taylor]: Taking taylor expansion of (* n PI) in k 4.619 * [taylor]: Taking taylor expansion of n in k 4.619 * [taylor]: Taking taylor expansion of PI in k 4.620 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.620 * [taylor]: Taking taylor expansion of k in k 4.622 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) (sqrt k)) in n 4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.622 * [taylor]: Taking taylor expansion of 0.5 in n 4.622 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.622 * [taylor]: Taking taylor expansion of 1.0 in n 4.622 * [taylor]: Taking taylor expansion of k in n 4.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.622 * [taylor]: Taking taylor expansion of 2.0 in n 4.622 * [taylor]: Taking taylor expansion of (* n PI) in n 4.622 * [taylor]: Taking taylor expansion of n in n 4.622 * [taylor]: Taking taylor expansion of PI in n 4.628 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.628 * [taylor]: Taking taylor expansion of k in n 4.628 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) (sqrt k)) in n 4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.628 * [taylor]: Taking taylor expansion of 0.5 in n 4.628 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.628 * [taylor]: Taking taylor expansion of 1.0 in n 4.628 * [taylor]: Taking taylor expansion of k in n 4.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.628 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.628 * [taylor]: Taking taylor expansion of 2.0 in n 4.628 * [taylor]: Taking taylor expansion of (* n PI) in n 4.628 * [taylor]: Taking taylor expansion of n in n 4.628 * [taylor]: Taking taylor expansion of PI in n 4.634 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.634 * [taylor]: Taking taylor expansion of k in n 4.635 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.635 * [taylor]: Taking taylor expansion of k in k 4.636 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.636 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.636 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.636 * [taylor]: Taking taylor expansion of 0.5 in k 4.636 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.636 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.636 * [taylor]: Taking taylor expansion of 1.0 in k 4.636 * [taylor]: Taking taylor expansion of k in k 4.636 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.637 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.637 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.637 * [taylor]: Taking taylor expansion of 2.0 in k 4.637 * [taylor]: Taking taylor expansion of PI in k 4.637 * [taylor]: Taking taylor expansion of (log n) in k 4.638 * [taylor]: Taking taylor expansion of n in k 4.650 * [taylor]: Taking taylor expansion of 0 in k 4.674 * [taylor]: Taking taylor expansion of 0 in k 4.724 * [taylor]: Taking taylor expansion of 0 in k 4.798 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.798 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.798 * [taylor]: Taking taylor expansion of k in k 4.800 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.800 * [taylor]: Taking taylor expansion of 0.5 in k 4.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.800 * [taylor]: Taking taylor expansion of 1.0 in k 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.800 * [taylor]: Taking taylor expansion of k in k 4.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.800 * [taylor]: Taking taylor expansion of 2.0 in k 4.800 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.800 * [taylor]: Taking taylor expansion of PI in k 4.800 * [taylor]: Taking taylor expansion of n in k 4.801 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.802 * [taylor]: Taking taylor expansion of k in n 4.802 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.802 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.802 * [taylor]: Taking taylor expansion of 0.5 in n 4.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.802 * [taylor]: Taking taylor expansion of 1.0 in n 4.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.802 * [taylor]: Taking taylor expansion of k in n 4.802 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.802 * [taylor]: Taking taylor expansion of 2.0 in n 4.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.802 * [taylor]: Taking taylor expansion of PI in n 4.802 * [taylor]: Taking taylor expansion of n in n 4.806 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.806 * [taylor]: Taking taylor expansion of k in n 4.807 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.807 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.807 * [taylor]: Taking taylor expansion of 0.5 in n 4.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.807 * [taylor]: Taking taylor expansion of 1.0 in n 4.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.807 * [taylor]: Taking taylor expansion of k in n 4.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.807 * [taylor]: Taking taylor expansion of 2.0 in n 4.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.807 * [taylor]: Taking taylor expansion of PI in n 4.807 * [taylor]: Taking taylor expansion of n in n 4.812 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.812 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.812 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.812 * [taylor]: Taking taylor expansion of k in k 4.813 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.814 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.814 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.814 * [taylor]: Taking taylor expansion of 0.5 in k 4.814 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.814 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.814 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.814 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.814 * [taylor]: Taking taylor expansion of 2.0 in k 4.814 * [taylor]: Taking taylor expansion of PI in k 4.815 * [taylor]: Taking taylor expansion of (log n) in k 4.815 * [taylor]: Taking taylor expansion of n in k 4.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.815 * [taylor]: Taking taylor expansion of 1.0 in k 4.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.815 * [taylor]: Taking taylor expansion of k in k 4.827 * [taylor]: Taking taylor expansion of 0 in k 4.843 * [taylor]: Taking taylor expansion of 0 in k 4.867 * [taylor]: Taking taylor expansion of 0 in k 4.879 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (n k) around 0 4.879 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.879 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.879 * [taylor]: Taking taylor expansion of -1 in k 4.879 * [taylor]: Taking taylor expansion of k in k 4.880 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.880 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.880 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.880 * [taylor]: Taking taylor expansion of 0.5 in k 4.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.881 * [taylor]: Taking taylor expansion of k in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.881 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.881 * [taylor]: Taking taylor expansion of -2.0 in k 4.881 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.881 * [taylor]: Taking taylor expansion of PI in k 4.881 * [taylor]: Taking taylor expansion of n in k 4.882 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.882 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.882 * [taylor]: Taking taylor expansion of -1 in n 4.882 * [taylor]: Taking taylor expansion of k in n 4.882 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.882 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.882 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.882 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.882 * [taylor]: Taking taylor expansion of 0.5 in n 4.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.882 * [taylor]: Taking taylor expansion of k in n 4.882 * [taylor]: Taking taylor expansion of 1.0 in n 4.882 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.882 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.882 * [taylor]: Taking taylor expansion of -2.0 in n 4.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.882 * [taylor]: Taking taylor expansion of PI in n 4.882 * [taylor]: Taking taylor expansion of n in n 4.887 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.887 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.887 * [taylor]: Taking taylor expansion of -1 in n 4.887 * [taylor]: Taking taylor expansion of k in n 4.887 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.887 * [taylor]: Taking taylor expansion of 0.5 in n 4.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.887 * [taylor]: Taking taylor expansion of k in n 4.887 * [taylor]: Taking taylor expansion of 1.0 in n 4.887 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.887 * [taylor]: Taking taylor expansion of -2.0 in n 4.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.888 * [taylor]: Taking taylor expansion of PI in n 4.888 * [taylor]: Taking taylor expansion of n in n 4.892 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))))) in k 4.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.892 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.892 * [taylor]: Taking taylor expansion of -1 in k 4.892 * [taylor]: Taking taylor expansion of k in k 4.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.894 * [taylor]: Taking taylor expansion of 0.5 in k 4.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.894 * [taylor]: Taking taylor expansion of k in k 4.894 * [taylor]: Taking taylor expansion of 1.0 in k 4.894 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.894 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.894 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.894 * [taylor]: Taking taylor expansion of -2.0 in k 4.894 * [taylor]: Taking taylor expansion of PI in k 4.895 * [taylor]: Taking taylor expansion of (log n) in k 4.895 * [taylor]: Taking taylor expansion of n in k 4.907 * [taylor]: Taking taylor expansion of 0 in k 4.923 * [taylor]: Taking taylor expansion of 0 in k 4.934 * * * [progress]: simplifying candidates 4.939 * [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 (* 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(- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (/ (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (* +nan.0 (/ (* (pow k 3) (log (* 2.0 PI))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))))))))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (+ (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))))) (- (+ (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))))) 4.963 * * [simplify]: iteration 0 : 1403 enodes (cost 4300 ) 4.987 * * [simplify]: iteration 1 : 5001 enodes (cost 3947 ) 5.004 * [simplify]: 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(/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (cbrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (- (fma (* 0.25 (pow k 2)) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (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) (+ (* (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5)) (- (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (* (* +nan.0 k) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (fma +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (fma +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (+ (- (* +nan.0 (/ (pow k 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (/ (* +nan.0 k) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 2) (log n))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 3) (log n))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 3) (pow (log n) 2))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 3) (* (log (* 2.0 PI)) (log n)))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (* (pow k 3) (pow (log (* 2.0 PI)) 2))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (- (/ (* +nan.0 (pow k 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (/ (* +nan.0 (* (pow k 3) (log (* 2.0 PI)))) (pow (exp 0.5) (log (* (* 2.0 PI) n))))))))))))) (+ (- (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))) (fma +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))) (+ (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.007 * * * [progress]: adding candidates to table 5.669 * [progress]: [Phase 3 of 3] Extracting. 5.669 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.672 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.672 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.707 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.738 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.770 * * * [regime]: Found split indices: #