19.139 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.084 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.086 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.087 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.090 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.097 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.122 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.122 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.123 * * [progress]: iteration 1 / 4 0.123 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.147 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.183 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.183 * [taylor]: Taking taylor expansion of 0.5 in k 0.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.183 * [taylor]: Taking taylor expansion of 1.0 in k 0.183 * [taylor]: Taking taylor expansion of k in k 0.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.183 * [taylor]: Taking taylor expansion of 2.0 in k 0.183 * [taylor]: Taking taylor expansion of (* n PI) in k 0.183 * [taylor]: Taking taylor expansion of n in k 0.183 * [taylor]: Taking taylor expansion of PI in k 0.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.184 * [taylor]: Taking taylor expansion of 0.5 in n 0.184 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.184 * [taylor]: Taking taylor expansion of 1.0 in n 0.184 * [taylor]: Taking taylor expansion of k in n 0.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.185 * [taylor]: Taking taylor expansion of 2.0 in n 0.185 * [taylor]: Taking taylor expansion of (* n PI) in n 0.185 * [taylor]: Taking taylor expansion of n in n 0.185 * [taylor]: Taking taylor expansion of PI in n 0.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.190 * [taylor]: Taking taylor expansion of 0.5 in n 0.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.190 * [taylor]: Taking taylor expansion of 1.0 in n 0.190 * [taylor]: Taking taylor expansion of k in n 0.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.190 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.190 * [taylor]: Taking taylor expansion of 2.0 in n 0.190 * [taylor]: Taking taylor expansion of (* n PI) in n 0.190 * [taylor]: Taking taylor expansion of n in n 0.190 * [taylor]: Taking taylor expansion of PI in n 0.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.196 * [taylor]: Taking taylor expansion of 0.5 in k 0.196 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.196 * [taylor]: Taking taylor expansion of 1.0 in k 0.197 * [taylor]: Taking taylor expansion of k in k 0.197 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.197 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.197 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.197 * [taylor]: Taking taylor expansion of 2.0 in k 0.197 * [taylor]: Taking taylor expansion of PI in k 0.198 * [taylor]: Taking taylor expansion of (log n) in k 0.198 * [taylor]: Taking taylor expansion of n in k 0.207 * [taylor]: Taking taylor expansion of 0 in k 0.223 * [taylor]: Taking taylor expansion of 0 in k 0.247 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.247 * [taylor]: Taking taylor expansion of 0.5 in k 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.247 * [taylor]: Taking taylor expansion of 1.0 in k 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.247 * [taylor]: Taking taylor expansion of k in k 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.248 * [taylor]: Taking taylor expansion of 2.0 in k 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.248 * [taylor]: Taking taylor expansion of PI in k 0.248 * [taylor]: Taking taylor expansion of n in k 0.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.249 * [taylor]: Taking taylor expansion of 0.5 in n 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.249 * [taylor]: Taking taylor expansion of 1.0 in n 0.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.249 * [taylor]: Taking taylor expansion of k in n 0.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.249 * [taylor]: Taking taylor expansion of 2.0 in n 0.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.249 * [taylor]: Taking taylor expansion of PI in n 0.249 * [taylor]: Taking taylor expansion of n in n 0.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.253 * [taylor]: Taking taylor expansion of 0.5 in n 0.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.253 * [taylor]: Taking taylor expansion of 1.0 in n 0.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.253 * [taylor]: Taking taylor expansion of k in n 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.253 * [taylor]: Taking taylor expansion of 2.0 in n 0.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.253 * [taylor]: Taking taylor expansion of PI in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.257 * [taylor]: Taking taylor expansion of 0.5 in k 0.257 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.257 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.257 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.257 * [taylor]: Taking taylor expansion of 2.0 in k 0.257 * [taylor]: Taking taylor expansion of PI in k 0.258 * [taylor]: Taking taylor expansion of (log n) in k 0.258 * [taylor]: Taking taylor expansion of n in k 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.268 * [taylor]: Taking taylor expansion of 0 in k 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [taylor]: Taking taylor expansion of 0 in k 0.286 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.286 * [taylor]: Taking taylor expansion of 0.5 in k 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.286 * [taylor]: Taking taylor expansion of k in k 0.286 * [taylor]: Taking taylor expansion of 1.0 in k 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.286 * [taylor]: Taking taylor expansion of -2.0 in k 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.286 * [taylor]: Taking taylor expansion of PI in k 0.286 * [taylor]: Taking taylor expansion of n in k 0.287 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.287 * [taylor]: Taking taylor expansion of 0.5 in n 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.287 * [taylor]: Taking taylor expansion of k in n 0.287 * [taylor]: Taking taylor expansion of 1.0 in n 0.287 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.287 * [taylor]: Taking taylor expansion of -2.0 in n 0.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.287 * [taylor]: Taking taylor expansion of PI in n 0.287 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.291 * [taylor]: Taking taylor expansion of 0.5 in n 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.291 * [taylor]: Taking taylor expansion of k in n 0.291 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -2.0 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.295 * [taylor]: Taking taylor expansion of 0.5 in k 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.295 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.296 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.296 * [taylor]: Taking taylor expansion of -2.0 in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.297 * [taylor]: Taking taylor expansion of (log n) in k 0.297 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.313 * [taylor]: Taking taylor expansion of 0 in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.323 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.323 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (* n PI) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (* n PI) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.342 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of 2.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of 2.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.351 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.351 * [taylor]: Taking taylor expansion of -2.0 in n 0.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.352 * [taylor]: Taking taylor expansion of -2.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.360 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.374 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.374 * [taylor]: Taking taylor expansion of 1.0 in k 0.374 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.375 * [taylor]: Taking taylor expansion of 1.0 in k 0.375 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.375 * [taylor]: Taking taylor expansion of k in k 0.385 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.385 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.385 * [taylor]: Taking taylor expansion of 1.0 in k 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.385 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.385 * [taylor]: Taking taylor expansion of -1 in k 0.385 * [taylor]: Taking taylor expansion of k in k 0.387 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.387 * [taylor]: Taking taylor expansion of 1.0 in k 0.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.387 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.387 * [taylor]: Taking taylor expansion of -1 in k 0.387 * [taylor]: Taking taylor expansion of k in k 0.399 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.400 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.400 * [taylor]: Taking taylor expansion of k in n 0.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.400 * [taylor]: Taking taylor expansion of 0.5 in n 0.400 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of k in n 0.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.400 * [taylor]: Taking taylor expansion of 2.0 in n 0.400 * [taylor]: Taking taylor expansion of (* n PI) in n 0.400 * [taylor]: Taking taylor expansion of n in n 0.400 * [taylor]: Taking taylor expansion of PI in n 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.405 * [taylor]: Taking taylor expansion of 1.0 in k 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.405 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.407 * [taylor]: Taking taylor expansion of 0.5 in k 0.407 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.407 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.407 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.407 * [taylor]: Taking taylor expansion of 2.0 in k 0.407 * [taylor]: Taking taylor expansion of (* n PI) in k 0.407 * [taylor]: Taking taylor expansion of n in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.408 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.408 * [taylor]: Taking taylor expansion of 1.0 in k 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.408 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.409 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.409 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.409 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.409 * [taylor]: Taking taylor expansion of 0.5 in k 0.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.410 * [taylor]: Taking taylor expansion of 2.0 in k 0.410 * [taylor]: Taking taylor expansion of (* n PI) in k 0.410 * [taylor]: Taking taylor expansion of n in k 0.410 * [taylor]: Taking taylor expansion of PI in k 0.417 * [taylor]: Taking taylor expansion of 0 in n 0.423 * [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 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of +nan.0 in n 0.423 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.423 * [taylor]: Taking taylor expansion of 0.5 in n 0.423 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.423 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of (log PI) in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.425 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log n) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.426 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.426 * [taylor]: Taking taylor expansion of 1.0 in n 0.426 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.426 * [taylor]: Taking taylor expansion of 2.0 in n 0.445 * [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 0.445 * [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 0.445 * [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 0.445 * [taylor]: Taking taylor expansion of +nan.0 in n 0.445 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.445 * [taylor]: Taking taylor expansion of 0.5 in n 0.445 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.445 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.445 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log PI) in n 0.445 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.454 * [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 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of +nan.0 in n 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.454 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.456 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.456 * [taylor]: Taking taylor expansion of 1.0 in n 0.456 * [taylor]: Taking taylor expansion of (log PI) in n 0.456 * [taylor]: Taking taylor expansion of PI in n 0.458 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of (log n) in n 0.458 * [taylor]: Taking taylor expansion of n in n 0.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.462 * [taylor]: Taking taylor expansion of 2.0 in n 0.462 * [taylor]: Taking taylor expansion of (* n PI) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.463 * [taylor]: Taking taylor expansion of PI in n 0.518 * [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 0.518 * [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 0.518 * [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 0.518 * [taylor]: Taking taylor expansion of +nan.0 in n 0.518 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.518 * [taylor]: Taking taylor expansion of 0.5 in n 0.518 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.518 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.519 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.520 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log n) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log PI) in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.527 * [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 0.527 * [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 0.527 * [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 0.527 * [taylor]: Taking taylor expansion of +nan.0 in n 0.527 * [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 0.527 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.527 * [taylor]: Taking taylor expansion of 0.5 in n 0.527 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.529 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.529 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.529 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log PI) in n 0.529 * [taylor]: Taking taylor expansion of PI in n 0.531 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log n) in n 0.531 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.535 * [taylor]: Taking taylor expansion of (* n PI) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of PI in n 0.538 * [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 0.538 * [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 0.538 * [taylor]: Taking taylor expansion of +nan.0 in n 0.538 * [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 0.538 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.538 * [taylor]: Taking taylor expansion of 0.5 in n 0.538 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.539 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.539 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log PI) in n 0.541 * [taylor]: Taking taylor expansion of PI in n 0.542 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log n) in n 0.542 * [taylor]: Taking taylor expansion of n in n 0.547 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.547 * [taylor]: Taking taylor expansion of 2.0 in n 0.547 * [taylor]: Taking taylor expansion of (* n PI) in n 0.547 * [taylor]: Taking taylor expansion of n in n 0.547 * [taylor]: Taking taylor expansion of PI in n 0.626 * [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 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.626 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.626 * [taylor]: Taking taylor expansion of 2.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.630 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.631 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.631 * [taylor]: Taking taylor expansion of 0.5 in k 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.632 * [taylor]: Taking taylor expansion of 1.0 in k 0.632 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.632 * [taylor]: Taking taylor expansion of k in k 0.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.632 * [taylor]: Taking taylor expansion of 2.0 in k 0.632 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.632 * [taylor]: Taking taylor expansion of PI in k 0.632 * [taylor]: Taking taylor expansion of n in k 0.633 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.633 * [taylor]: Taking taylor expansion of 1.0 in k 0.633 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.633 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.634 * [taylor]: Taking taylor expansion of 0.5 in k 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.634 * [taylor]: Taking taylor expansion of 1.0 in k 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.634 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.635 * [taylor]: Taking taylor expansion of 2.0 in k 0.635 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.635 * [taylor]: Taking taylor expansion of PI in k 0.635 * [taylor]: Taking taylor expansion of n in k 0.636 * [taylor]: Taking taylor expansion of 0 in n 0.637 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.637 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.637 * [taylor]: Taking taylor expansion of +nan.0 in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.637 * [taylor]: Taking taylor expansion of 0.5 in n 0.637 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.637 * [taylor]: Taking taylor expansion of 2.0 in n 0.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.637 * [taylor]: Taking taylor expansion of PI in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.638 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.638 * [taylor]: Taking taylor expansion of k in n 0.647 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.647 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.647 * [taylor]: Taking taylor expansion of +nan.0 in n 0.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.647 * [taylor]: Taking taylor expansion of 0.5 in n 0.647 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.647 * [taylor]: Taking taylor expansion of 2.0 in n 0.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.647 * [taylor]: Taking taylor expansion of PI in n 0.647 * [taylor]: Taking taylor expansion of n in n 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.648 * [taylor]: Taking taylor expansion of 1.0 in n 0.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.649 * [taylor]: Taking taylor expansion of k in n 0.665 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.665 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.665 * [taylor]: Taking taylor expansion of +nan.0 in n 0.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.665 * [taylor]: Taking taylor expansion of 0.5 in n 0.665 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.666 * [taylor]: Taking taylor expansion of 2.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.666 * [taylor]: Taking taylor expansion of PI in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.676 * [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 0.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.676 * [taylor]: Taking taylor expansion of -2.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.676 * [taylor]: Taking taylor expansion of PI in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.680 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.680 * [taylor]: Taking taylor expansion of -1 in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.681 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.681 * [taylor]: Taking taylor expansion of 1.0 in k 0.681 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.681 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.681 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.681 * [taylor]: Taking taylor expansion of 0.5 in k 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.681 * [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 0.682 * [taylor]: Taking taylor expansion of -2.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.682 * [taylor]: Taking taylor expansion of PI in k 0.682 * [taylor]: Taking taylor expansion of n in k 0.682 * [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 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.684 * [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 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [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 0.692 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.692 * [taylor]: Taking taylor expansion of +nan.0 in n 0.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.693 * [taylor]: Taking taylor expansion of 0.5 in n 0.693 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.693 * [taylor]: Taking taylor expansion of k in n 0.693 * [taylor]: Taking taylor expansion of 1.0 in n 0.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.693 * [taylor]: Taking taylor expansion of -2.0 in n 0.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.693 * [taylor]: Taking taylor expansion of PI in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.702 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.702 * [taylor]: Taking taylor expansion of +nan.0 in n 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of -2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.720 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.720 * [taylor]: Taking taylor expansion of +nan.0 in n 0.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.720 * [taylor]: Taking taylor expansion of 0.5 in n 0.720 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.720 * [taylor]: Taking taylor expansion of k in n 0.720 * [taylor]: Taking taylor expansion of 1.0 in n 0.720 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.720 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.720 * [taylor]: Taking taylor expansion of -2.0 in n 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.720 * [taylor]: Taking taylor expansion of PI in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.731 * * * [progress]: simplifying candidates 0.733 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.843 * * * [progress]: adding candidates to table 1.242 * * [progress]: iteration 2 / 4 1.242 * * * [progress]: picking best candidate 1.273 * * * * [pick]: Picked # 1.273 * * * [progress]: localizing error 1.286 * * * [progress]: generating rewritten candidates 1.286 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.295 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 1.302 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.311 * * * [progress]: generating series expansions 1.311 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.312 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.312 * [taylor]: Taking taylor expansion of 0.5 in k 1.312 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.312 * [taylor]: Taking taylor expansion of 1.0 in k 1.312 * [taylor]: Taking taylor expansion of k in k 1.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.312 * [taylor]: Taking taylor expansion of 2.0 in k 1.312 * [taylor]: Taking taylor expansion of (* n PI) in k 1.312 * [taylor]: Taking taylor expansion of n in k 1.312 * [taylor]: Taking taylor expansion of PI in k 1.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.314 * [taylor]: Taking taylor expansion of 0.5 in n 1.314 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.314 * [taylor]: Taking taylor expansion of 1.0 in n 1.314 * [taylor]: Taking taylor expansion of k in n 1.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.314 * [taylor]: Taking taylor expansion of 2.0 in n 1.314 * [taylor]: Taking taylor expansion of (* n PI) in n 1.314 * [taylor]: Taking taylor expansion of n in n 1.314 * [taylor]: Taking taylor expansion of PI in n 1.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.319 * [taylor]: Taking taylor expansion of 0.5 in n 1.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.319 * [taylor]: Taking taylor expansion of 1.0 in n 1.319 * [taylor]: Taking taylor expansion of k in n 1.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.319 * [taylor]: Taking taylor expansion of 2.0 in n 1.319 * [taylor]: Taking taylor expansion of (* n PI) in n 1.319 * [taylor]: Taking taylor expansion of n in n 1.319 * [taylor]: Taking taylor expansion of PI in n 1.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.325 * [taylor]: Taking taylor expansion of 0.5 in k 1.325 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.325 * [taylor]: Taking taylor expansion of 1.0 in k 1.325 * [taylor]: Taking taylor expansion of k in k 1.325 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.325 * [taylor]: Taking taylor expansion of 2.0 in k 1.325 * [taylor]: Taking taylor expansion of PI in k 1.326 * [taylor]: Taking taylor expansion of (log n) in k 1.326 * [taylor]: Taking taylor expansion of n in k 1.336 * [taylor]: Taking taylor expansion of 0 in k 1.358 * [taylor]: Taking taylor expansion of 0 in k 1.377 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.377 * [taylor]: Taking taylor expansion of 0.5 in k 1.377 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.377 * [taylor]: Taking taylor expansion of 1.0 in k 1.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.377 * [taylor]: Taking taylor expansion of k in k 1.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.377 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.377 * [taylor]: Taking taylor expansion of 2.0 in k 1.377 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.377 * [taylor]: Taking taylor expansion of PI in k 1.377 * [taylor]: Taking taylor expansion of n in k 1.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.378 * [taylor]: Taking taylor expansion of 0.5 in n 1.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.378 * [taylor]: Taking taylor expansion of 1.0 in n 1.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.378 * [taylor]: Taking taylor expansion of k in n 1.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.379 * [taylor]: Taking taylor expansion of 2.0 in n 1.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.379 * [taylor]: Taking taylor expansion of PI in n 1.379 * [taylor]: Taking taylor expansion of n in n 1.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.382 * [taylor]: Taking taylor expansion of 0.5 in n 1.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.382 * [taylor]: Taking taylor expansion of 1.0 in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.383 * [taylor]: Taking taylor expansion of k in n 1.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.383 * [taylor]: Taking taylor expansion of 2.0 in n 1.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.383 * [taylor]: Taking taylor expansion of PI in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.386 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.386 * [taylor]: Taking taylor expansion of 0.5 in k 1.386 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.386 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.387 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.387 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.387 * [taylor]: Taking taylor expansion of 2.0 in k 1.387 * [taylor]: Taking taylor expansion of PI in k 1.388 * [taylor]: Taking taylor expansion of (log n) in k 1.388 * [taylor]: Taking taylor expansion of n in k 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.388 * [taylor]: Taking taylor expansion of 1.0 in k 1.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.388 * [taylor]: Taking taylor expansion of k in k 1.397 * [taylor]: Taking taylor expansion of 0 in k 1.405 * [taylor]: Taking taylor expansion of 0 in k 1.414 * [taylor]: Taking taylor expansion of 0 in k 1.415 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.415 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.416 * [taylor]: Taking taylor expansion of 0.5 in k 1.416 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.416 * [taylor]: Taking taylor expansion of k in k 1.416 * [taylor]: Taking taylor expansion of 1.0 in k 1.416 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.416 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.416 * [taylor]: Taking taylor expansion of -2.0 in k 1.416 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.416 * [taylor]: Taking taylor expansion of PI in k 1.416 * [taylor]: Taking taylor expansion of n in k 1.417 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.417 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.417 * [taylor]: Taking taylor expansion of 0.5 in n 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.417 * [taylor]: Taking taylor expansion of k in n 1.417 * [taylor]: Taking taylor expansion of 1.0 in n 1.417 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.417 * [taylor]: Taking taylor expansion of -2.0 in n 1.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.417 * [taylor]: Taking taylor expansion of PI in n 1.417 * [taylor]: Taking taylor expansion of n in n 1.421 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.421 * [taylor]: Taking taylor expansion of 0.5 in n 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.421 * [taylor]: Taking taylor expansion of k in n 1.421 * [taylor]: Taking taylor expansion of 1.0 in n 1.421 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.421 * [taylor]: Taking taylor expansion of -2.0 in n 1.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.425 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.425 * [taylor]: Taking taylor expansion of 0.5 in k 1.425 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.425 * [taylor]: Taking taylor expansion of k in k 1.425 * [taylor]: Taking taylor expansion of 1.0 in k 1.425 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.425 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.425 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.425 * [taylor]: Taking taylor expansion of -2.0 in k 1.425 * [taylor]: Taking taylor expansion of PI in k 1.426 * [taylor]: Taking taylor expansion of (log n) in k 1.426 * [taylor]: Taking taylor expansion of n in k 1.442 * [taylor]: Taking taylor expansion of 0 in k 1.449 * [taylor]: Taking taylor expansion of 0 in k 1.458 * [taylor]: Taking taylor expansion of 0 in k 1.459 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 1.459 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2.0 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.459 * [taylor]: Taking taylor expansion of 2.0 in n 1.459 * [taylor]: Taking taylor expansion of (* n PI) in n 1.459 * [taylor]: Taking taylor expansion of n in n 1.459 * [taylor]: Taking taylor expansion of PI in n 1.472 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.482 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.482 * [taylor]: Taking taylor expansion of -2.0 in n 1.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.482 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.482 * [taylor]: Taking taylor expansion of -2.0 in n 1.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.491 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.492 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 1.492 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.492 * [taylor]: Taking taylor expansion of 0.5 in k 1.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of k in k 1.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.492 * [taylor]: Taking taylor expansion of 2.0 in k 1.492 * [taylor]: Taking taylor expansion of (* n PI) in k 1.492 * [taylor]: Taking taylor expansion of n in k 1.492 * [taylor]: Taking taylor expansion of PI in k 1.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.493 * [taylor]: Taking taylor expansion of k in k 1.495 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.495 * [taylor]: Taking taylor expansion of 1.0 in n 1.495 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.495 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.495 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.495 * [taylor]: Taking taylor expansion of 0.5 in n 1.495 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.495 * [taylor]: Taking taylor expansion of 1.0 in n 1.495 * [taylor]: Taking taylor expansion of k in n 1.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.495 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.495 * [taylor]: Taking taylor expansion of 2.0 in n 1.495 * [taylor]: Taking taylor expansion of (* n PI) in n 1.495 * [taylor]: Taking taylor expansion of n in n 1.495 * [taylor]: Taking taylor expansion of PI in n 1.500 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.500 * [taylor]: Taking taylor expansion of k in n 1.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.501 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.501 * [taylor]: Taking taylor expansion of 0.5 in n 1.501 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [taylor]: Taking taylor expansion of k in n 1.501 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.501 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.501 * [taylor]: Taking taylor expansion of 2.0 in n 1.501 * [taylor]: Taking taylor expansion of (* n PI) in n 1.501 * [taylor]: Taking taylor expansion of n in n 1.501 * [taylor]: Taking taylor expansion of PI in n 1.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.506 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.506 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 1.508 * [taylor]: Taking taylor expansion of 1.0 in k 1.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.508 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.510 * [taylor]: Taking taylor expansion of 0.5 in k 1.510 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.510 * [taylor]: Taking taylor expansion of 1.0 in k 1.510 * [taylor]: Taking taylor expansion of k in k 1.510 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.510 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.510 * [taylor]: Taking taylor expansion of 2.0 in k 1.510 * [taylor]: Taking taylor expansion of PI in k 1.511 * [taylor]: Taking taylor expansion of (log n) in k 1.511 * [taylor]: Taking taylor expansion of n in k 1.529 * [taylor]: Taking taylor expansion of 0 in k 1.550 * [taylor]: Taking taylor expansion of 0 in k 1.587 * [taylor]: Taking taylor expansion of 0 in k 1.653 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 1.653 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.653 * [taylor]: Taking taylor expansion of 1.0 in k 1.653 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.653 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.655 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.655 * [taylor]: Taking taylor expansion of 0.5 in k 1.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.655 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.655 * [taylor]: Taking taylor expansion of 2.0 in k 1.655 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.655 * [taylor]: Taking taylor expansion of PI in k 1.655 * [taylor]: Taking taylor expansion of n in k 1.656 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.656 * [taylor]: Taking taylor expansion of 1.0 in n 1.656 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.656 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.656 * [taylor]: Taking taylor expansion of 0.5 in n 1.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.656 * [taylor]: Taking taylor expansion of 1.0 in n 1.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.656 * [taylor]: Taking taylor expansion of 2.0 in n 1.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.660 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.660 * [taylor]: Taking taylor expansion of k in n 1.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.660 * [taylor]: Taking taylor expansion of 0.5 in n 1.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.661 * [taylor]: Taking taylor expansion of k in n 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.661 * [taylor]: Taking taylor expansion of 2.0 in n 1.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.661 * [taylor]: Taking taylor expansion of PI in n 1.661 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 1.666 * [taylor]: Taking taylor expansion of 1.0 in k 1.666 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.666 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.666 * [taylor]: Taking taylor expansion of k in k 1.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.667 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.667 * [taylor]: Taking taylor expansion of 0.5 in k 1.667 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.667 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.667 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.667 * [taylor]: Taking taylor expansion of 2.0 in k 1.667 * [taylor]: Taking taylor expansion of PI in k 1.668 * [taylor]: Taking taylor expansion of (log n) in k 1.668 * [taylor]: Taking taylor expansion of n in k 1.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.668 * [taylor]: Taking taylor expansion of k in k 1.680 * [taylor]: Taking taylor expansion of 0 in k 1.693 * [taylor]: Taking taylor expansion of 0 in k 1.719 * [taylor]: Taking taylor expansion of 0 in k 1.730 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.730 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.730 * [taylor]: Taking taylor expansion of -2.0 in k 1.730 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.730 * [taylor]: Taking taylor expansion of PI in k 1.730 * [taylor]: Taking taylor expansion of n in k 1.731 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.731 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.731 * [taylor]: Taking taylor expansion of -1 in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.733 * [taylor]: Taking taylor expansion of 1.0 in n 1.733 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.733 * [taylor]: Taking taylor expansion of 0.5 in n 1.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.733 * [taylor]: Taking taylor expansion of k in n 1.733 * [taylor]: Taking taylor expansion of 1.0 in n 1.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.733 * [taylor]: Taking taylor expansion of -2.0 in n 1.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.737 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.737 * [taylor]: Taking taylor expansion of -1 in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.738 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.738 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.738 * [taylor]: Taking taylor expansion of 0.5 in n 1.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.738 * [taylor]: Taking taylor expansion of k in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.738 * [taylor]: Taking taylor expansion of -2.0 in n 1.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.742 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.742 * [taylor]: Taking taylor expansion of -1 in n 1.742 * [taylor]: Taking taylor expansion of k in n 1.744 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.744 * [taylor]: Taking taylor expansion of 0.5 in k 1.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.744 * [taylor]: Taking taylor expansion of k in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.745 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.745 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.745 * [taylor]: Taking taylor expansion of -2.0 in k 1.745 * [taylor]: Taking taylor expansion of PI in k 1.746 * [taylor]: Taking taylor expansion of (log n) in k 1.746 * [taylor]: Taking taylor expansion of n in k 1.749 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.749 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.749 * [taylor]: Taking taylor expansion of -1 in k 1.749 * [taylor]: Taking taylor expansion of k in k 1.760 * [taylor]: Taking taylor expansion of 0 in k 1.776 * [taylor]: Taking taylor expansion of 0 in k 1.793 * * * [progress]: simplifying candidates 1.794 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +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 (exp (* 0.5 (+ (log (* 2.0 PI)) (log 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))))))) (- (+ (* +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))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 1.804 * * [simplify]: iteration 0 : 709 enodes (cost 938 ) 1.818 * * [simplify]: iteration 1 : 2966 enodes (cost 838 ) 1.879 * * [simplify]: iteration 2 : 5002 enodes (cost 830 ) 1.883 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (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) (/ k 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (- (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow k 2)) +nan.0) (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (+ (- (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k) +nan.0) (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (+ (- (* (* +nan.0 k) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) +nan.0)) (- (- (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0) (* (* (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow k 2)) +nan.0)) (* (pow (* (* 2.0 PI) n) 0.5) (- +nan.0)))))) (* (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 1.884 * * * [progress]: adding candidates to table 2.120 * * [progress]: iteration 3 / 4 2.120 * * * [progress]: picking best candidate 2.142 * * * * [pick]: Picked # 2.142 * * * [progress]: localizing error 2.155 * * * [progress]: generating rewritten candidates 2.155 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.171 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.205 * * * [progress]: generating series expansions 2.205 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.206 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.206 * [taylor]: Taking taylor expansion of 0.5 in k 2.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.206 * [taylor]: Taking taylor expansion of 1.0 in k 2.206 * [taylor]: Taking taylor expansion of k in k 2.206 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.206 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.206 * [taylor]: Taking taylor expansion of 2.0 in k 2.206 * [taylor]: Taking taylor expansion of (* n PI) in k 2.206 * [taylor]: Taking taylor expansion of n in k 2.206 * [taylor]: Taking taylor expansion of PI in k 2.208 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.208 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.208 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.208 * [taylor]: Taking taylor expansion of 0.5 in n 2.208 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [taylor]: Taking taylor expansion of k in n 2.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.208 * [taylor]: Taking taylor expansion of 2.0 in n 2.208 * [taylor]: Taking taylor expansion of (* n PI) in n 2.208 * [taylor]: Taking taylor expansion of n in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.213 * [taylor]: Taking taylor expansion of 0.5 in n 2.213 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.214 * [taylor]: Taking taylor expansion of 1.0 in n 2.214 * [taylor]: Taking taylor expansion of k in n 2.214 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.214 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.214 * [taylor]: Taking taylor expansion of 2.0 in n 2.214 * [taylor]: Taking taylor expansion of (* n PI) in n 2.214 * [taylor]: Taking taylor expansion of n in n 2.214 * [taylor]: Taking taylor expansion of PI in n 2.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.219 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.219 * [taylor]: Taking taylor expansion of 0.5 in k 2.219 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.219 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.219 * [taylor]: Taking taylor expansion of 1.0 in k 2.219 * [taylor]: Taking taylor expansion of k in k 2.219 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.219 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.219 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.219 * [taylor]: Taking taylor expansion of 2.0 in k 2.219 * [taylor]: Taking taylor expansion of PI in k 2.220 * [taylor]: Taking taylor expansion of (log n) in k 2.220 * [taylor]: Taking taylor expansion of n in k 2.230 * [taylor]: Taking taylor expansion of 0 in k 2.246 * [taylor]: Taking taylor expansion of 0 in k 2.266 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.266 * [taylor]: Taking taylor expansion of 0.5 in k 2.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.266 * [taylor]: Taking taylor expansion of 1.0 in k 2.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.266 * [taylor]: Taking taylor expansion of k in k 2.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.266 * [taylor]: Taking taylor expansion of 2.0 in k 2.266 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.266 * [taylor]: Taking taylor expansion of PI in k 2.266 * [taylor]: Taking taylor expansion of n in k 2.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.274 * [taylor]: Taking taylor expansion of 0.5 in n 2.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.274 * [taylor]: Taking taylor expansion of 1.0 in n 2.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.274 * [taylor]: Taking taylor expansion of k in n 2.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.275 * [taylor]: Taking taylor expansion of 2.0 in n 2.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.275 * [taylor]: Taking taylor expansion of PI in n 2.275 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.279 * [taylor]: Taking taylor expansion of 0.5 in n 2.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.279 * [taylor]: Taking taylor expansion of 1.0 in n 2.279 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.279 * [taylor]: Taking taylor expansion of k in n 2.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.279 * [taylor]: Taking taylor expansion of 2.0 in n 2.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.283 * [taylor]: Taking taylor expansion of 0.5 in k 2.283 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.283 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.283 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.283 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.283 * [taylor]: Taking taylor expansion of 2.0 in k 2.283 * [taylor]: Taking taylor expansion of PI in k 2.284 * [taylor]: Taking taylor expansion of (log n) in k 2.284 * [taylor]: Taking taylor expansion of n in k 2.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.284 * [taylor]: Taking taylor expansion of 1.0 in k 2.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.284 * [taylor]: Taking taylor expansion of k in k 2.294 * [taylor]: Taking taylor expansion of 0 in k 2.301 * [taylor]: Taking taylor expansion of 0 in k 2.310 * [taylor]: Taking taylor expansion of 0 in k 2.312 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.312 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.312 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.312 * [taylor]: Taking taylor expansion of 0.5 in k 2.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.312 * [taylor]: Taking taylor expansion of k in k 2.312 * [taylor]: Taking taylor expansion of 1.0 in k 2.312 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.312 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.312 * [taylor]: Taking taylor expansion of -2.0 in k 2.312 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.312 * [taylor]: Taking taylor expansion of PI in k 2.312 * [taylor]: Taking taylor expansion of n in k 2.313 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.313 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.313 * [taylor]: Taking taylor expansion of 0.5 in n 2.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.313 * [taylor]: Taking taylor expansion of k in n 2.313 * [taylor]: Taking taylor expansion of 1.0 in n 2.313 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.313 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.313 * [taylor]: Taking taylor expansion of -2.0 in n 2.313 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.313 * [taylor]: Taking taylor expansion of PI in n 2.313 * [taylor]: Taking taylor expansion of n in n 2.317 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.317 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.317 * [taylor]: Taking taylor expansion of 0.5 in n 2.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.317 * [taylor]: Taking taylor expansion of k in n 2.317 * [taylor]: Taking taylor expansion of 1.0 in n 2.317 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.317 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.317 * [taylor]: Taking taylor expansion of -2.0 in n 2.317 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.317 * [taylor]: Taking taylor expansion of PI in n 2.317 * [taylor]: Taking taylor expansion of n in n 2.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.321 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.321 * [taylor]: Taking taylor expansion of 0.5 in k 2.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.322 * [taylor]: Taking taylor expansion of 1.0 in k 2.322 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.322 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.322 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.322 * [taylor]: Taking taylor expansion of -2.0 in k 2.322 * [taylor]: Taking taylor expansion of PI in k 2.323 * [taylor]: Taking taylor expansion of (log n) in k 2.323 * [taylor]: Taking taylor expansion of n in k 2.332 * [taylor]: Taking taylor expansion of 0 in k 2.339 * [taylor]: Taking taylor expansion of 0 in k 2.348 * [taylor]: Taking taylor expansion of 0 in k 2.349 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.349 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.349 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.349 * [taylor]: Taking taylor expansion of 2.0 in n 2.349 * [taylor]: Taking taylor expansion of (* n PI) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.349 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.349 * [taylor]: Taking taylor expansion of 2.0 in n 2.349 * [taylor]: Taking taylor expansion of (* n PI) in n 2.349 * [taylor]: Taking taylor expansion of n in n 2.349 * [taylor]: Taking taylor expansion of PI in n 2.368 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.368 * [taylor]: Taking taylor expansion of 2.0 in n 2.368 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.368 * [taylor]: Taking taylor expansion of PI in n 2.368 * [taylor]: Taking taylor expansion of n in n 2.369 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.369 * [taylor]: Taking taylor expansion of 2.0 in n 2.369 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.369 * [taylor]: Taking taylor expansion of PI in n 2.369 * [taylor]: Taking taylor expansion of n in n 2.378 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.378 * [taylor]: Taking taylor expansion of -2.0 in n 2.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.378 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.378 * [taylor]: Taking taylor expansion of -2.0 in n 2.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.378 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.387 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.388 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.388 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.388 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.388 * [taylor]: Taking taylor expansion of k in n 2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.388 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.388 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.388 * [taylor]: Taking taylor expansion of 0.5 in n 2.388 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.388 * [taylor]: Taking taylor expansion of 1.0 in n 2.388 * [taylor]: Taking taylor expansion of k in n 2.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.388 * [taylor]: Taking taylor expansion of 2.0 in n 2.388 * [taylor]: Taking taylor expansion of (* n PI) in n 2.388 * [taylor]: Taking taylor expansion of n in n 2.388 * [taylor]: Taking taylor expansion of PI in n 2.394 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.394 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.394 * [taylor]: Taking taylor expansion of k in k 2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.396 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.396 * [taylor]: Taking taylor expansion of 0.5 in k 2.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.396 * [taylor]: Taking taylor expansion of 1.0 in k 2.396 * [taylor]: Taking taylor expansion of k in k 2.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.396 * [taylor]: Taking taylor expansion of 2.0 in k 2.396 * [taylor]: Taking taylor expansion of (* n PI) in k 2.396 * [taylor]: Taking taylor expansion of n in k 2.396 * [taylor]: Taking taylor expansion of PI in k 2.397 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.397 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.397 * [taylor]: Taking taylor expansion of k in k 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.398 * [taylor]: Taking taylor expansion of 0.5 in k 2.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.398 * [taylor]: Taking taylor expansion of 1.0 in k 2.398 * [taylor]: Taking taylor expansion of k in k 2.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.398 * [taylor]: Taking taylor expansion of 2.0 in k 2.398 * [taylor]: Taking taylor expansion of (* n PI) in k 2.398 * [taylor]: Taking taylor expansion of n in k 2.398 * [taylor]: Taking taylor expansion of PI in k 2.400 * [taylor]: Taking taylor expansion of 0 in n 2.407 * [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 2.407 * [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 2.408 * [taylor]: Taking taylor expansion of +nan.0 in n 2.408 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.408 * [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 2.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.408 * [taylor]: Taking taylor expansion of 0.5 in n 2.408 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.408 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.408 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.408 * [taylor]: Taking taylor expansion of 1.0 in n 2.408 * [taylor]: Taking taylor expansion of (log PI) in n 2.408 * [taylor]: Taking taylor expansion of PI in n 2.410 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.410 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.410 * [taylor]: Taking taylor expansion of 1.0 in n 2.410 * [taylor]: Taking taylor expansion of (log n) in n 2.410 * [taylor]: Taking taylor expansion of n in n 2.410 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.410 * [taylor]: Taking taylor expansion of 1.0 in n 2.410 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.410 * [taylor]: Taking taylor expansion of 2.0 in n 2.433 * [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 2.434 * [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 2.434 * [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 2.434 * [taylor]: Taking taylor expansion of +nan.0 in n 2.434 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 2.434 * [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 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.434 * [taylor]: Taking taylor expansion of 0.5 in n 2.434 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.434 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.434 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.434 * [taylor]: Taking taylor expansion of 1.0 in n 2.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.434 * [taylor]: Taking taylor expansion of 2.0 in n 2.436 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.436 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.436 * [taylor]: Taking taylor expansion of (log n) in n 2.436 * [taylor]: Taking taylor expansion of n in n 2.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.436 * [taylor]: Taking taylor expansion of (log PI) in n 2.436 * [taylor]: Taking taylor expansion of PI in n 2.443 * [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 2.443 * [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 2.443 * [taylor]: Taking taylor expansion of +nan.0 in n 2.443 * [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 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* n PI) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.446 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.447 * [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 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.447 * [taylor]: Taking taylor expansion of 0.5 in n 2.447 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.447 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.447 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.447 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.447 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.447 * [taylor]: Taking taylor expansion of 1.0 in n 2.447 * [taylor]: Taking taylor expansion of (log PI) in n 2.447 * [taylor]: Taking taylor expansion of PI in n 2.449 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.449 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.449 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.449 * [taylor]: Taking taylor expansion of 1.0 in n 2.449 * [taylor]: Taking taylor expansion of (log n) in n 2.449 * [taylor]: Taking taylor expansion of n in n 2.449 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.449 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.449 * [taylor]: Taking taylor expansion of 1.0 in n 2.449 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.449 * [taylor]: Taking taylor expansion of 2.0 in n 2.515 * [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 2.515 * [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 2.515 * [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 2.515 * [taylor]: Taking taylor expansion of +nan.0 in n 2.515 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.515 * [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 2.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.515 * [taylor]: Taking taylor expansion of 0.5 in n 2.515 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.515 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.516 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.516 * [taylor]: Taking taylor expansion of 1.0 in n 2.516 * [taylor]: Taking taylor expansion of (log PI) in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log n) in n 2.518 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.518 * [taylor]: Taking taylor expansion of 2.0 in n 2.525 * [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 2.525 * [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 2.525 * [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 2.525 * [taylor]: Taking taylor expansion of +nan.0 in n 2.525 * [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 2.525 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 2.525 * [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 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.525 * [taylor]: Taking taylor expansion of 0.5 in n 2.525 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.525 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 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 2.527 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.527 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.527 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.527 * [taylor]: Taking taylor expansion of 1.0 in n 2.527 * [taylor]: Taking taylor expansion of (log PI) in n 2.527 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.529 * [taylor]: Taking taylor expansion of 1.0 in n 2.529 * [taylor]: Taking taylor expansion of (log n) in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.534 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.534 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.534 * [taylor]: Taking taylor expansion of 2.0 in n 2.534 * [taylor]: Taking taylor expansion of (* n PI) in n 2.534 * [taylor]: Taking taylor expansion of n in n 2.534 * [taylor]: Taking taylor expansion of PI in n 2.538 * [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 2.538 * [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 2.538 * [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 2.538 * [taylor]: Taking taylor expansion of +nan.0 in n 2.538 * [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 2.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.538 * [taylor]: Taking taylor expansion of 2.0 in n 2.538 * [taylor]: Taking taylor expansion of (* n PI) in n 2.538 * [taylor]: Taking taylor expansion of n in n 2.538 * [taylor]: Taking taylor expansion of PI in n 2.541 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.542 * [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 2.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.542 * [taylor]: Taking taylor expansion of 0.5 in n 2.542 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.542 * [taylor]: Taking taylor expansion of 1.0 in n 2.542 * [taylor]: Taking taylor expansion of (log PI) in n 2.542 * [taylor]: Taking taylor expansion of PI in n 2.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.544 * [taylor]: Taking taylor expansion of 1.0 in n 2.544 * [taylor]: Taking taylor expansion of (log n) in n 2.544 * [taylor]: Taking taylor expansion of n in n 2.551 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.551 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.551 * [taylor]: Taking taylor expansion of 1.0 in n 2.551 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.551 * [taylor]: Taking taylor expansion of 2.0 in n 2.559 * [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 2.559 * [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 2.559 * [taylor]: Taking taylor expansion of +nan.0 in n 2.559 * [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 2.559 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.559 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.559 * [taylor]: Taking taylor expansion of 2.0 in n 2.559 * [taylor]: Taking taylor expansion of (* n PI) in n 2.559 * [taylor]: Taking taylor expansion of n in n 2.559 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 2.563 * [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 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.563 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.563 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log PI) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log n) in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.566 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.566 * [taylor]: Taking taylor expansion of 2.0 in n 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.695 * [taylor]: Taking taylor expansion of k in n 2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.695 * [taylor]: Taking taylor expansion of 1.0 in n 2.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.695 * [taylor]: Taking taylor expansion of k in n 2.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.695 * [taylor]: Taking taylor expansion of PI in n 2.695 * [taylor]: Taking taylor expansion of n in n 2.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.700 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.700 * [taylor]: Taking taylor expansion of k in k 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.701 * [taylor]: Taking taylor expansion of 0.5 in k 2.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.701 * [taylor]: Taking taylor expansion of 1.0 in k 2.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.701 * [taylor]: Taking taylor expansion of k in k 2.701 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.702 * [taylor]: Taking taylor expansion of 2.0 in k 2.702 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.702 * [taylor]: Taking taylor expansion of PI in k 2.702 * [taylor]: Taking taylor expansion of n in k 2.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.703 * [taylor]: Taking taylor expansion of k in k 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.704 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.704 * [taylor]: Taking taylor expansion of 0.5 in k 2.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.704 * [taylor]: Taking taylor expansion of 1.0 in k 2.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.705 * [taylor]: Taking taylor expansion of k in k 2.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.705 * [taylor]: Taking taylor expansion of 2.0 in k 2.705 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.705 * [taylor]: Taking taylor expansion of PI in k 2.705 * [taylor]: Taking taylor expansion of n in k 2.706 * [taylor]: Taking taylor expansion of 0 in n 2.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.707 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.707 * [taylor]: Taking taylor expansion of +nan.0 in n 2.707 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.707 * [taylor]: Taking taylor expansion of 0.5 in n 2.707 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.707 * [taylor]: Taking taylor expansion of 2.0 in n 2.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.707 * [taylor]: Taking taylor expansion of PI in n 2.707 * [taylor]: Taking taylor expansion of n in n 2.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.709 * [taylor]: Taking taylor expansion of k in n 2.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.718 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.718 * [taylor]: Taking taylor expansion of +nan.0 in n 2.718 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.718 * [taylor]: Taking taylor expansion of 0.5 in n 2.718 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.718 * [taylor]: Taking taylor expansion of 2.0 in n 2.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.718 * [taylor]: Taking taylor expansion of PI in n 2.718 * [taylor]: Taking taylor expansion of n in n 2.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.720 * [taylor]: Taking taylor expansion of 1.0 in n 2.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.720 * [taylor]: Taking taylor expansion of k in n 2.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 2.745 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.745 * [taylor]: Taking taylor expansion of +nan.0 in n 2.745 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.745 * [taylor]: Taking taylor expansion of 0.5 in n 2.745 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.745 * [taylor]: Taking taylor expansion of 2.0 in n 2.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of n in n 2.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.747 * [taylor]: Taking taylor expansion of 1.0 in n 2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.747 * [taylor]: Taking taylor expansion of k in n 2.757 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.757 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.757 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.757 * [taylor]: Taking taylor expansion of -1 in n 2.757 * [taylor]: Taking taylor expansion of k in n 2.757 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.757 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.757 * [taylor]: Taking taylor expansion of 0.5 in n 2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.757 * [taylor]: Taking taylor expansion of k in n 2.757 * [taylor]: Taking taylor expansion of 1.0 in n 2.757 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.757 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.757 * [taylor]: Taking taylor expansion of -2.0 in n 2.757 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.757 * [taylor]: Taking taylor expansion of PI in n 2.757 * [taylor]: Taking taylor expansion of n in n 2.762 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.762 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.762 * [taylor]: Taking taylor expansion of -1 in k 2.762 * [taylor]: Taking taylor expansion of k in k 2.763 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.763 * [taylor]: Taking taylor expansion of 0.5 in k 2.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) 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 1.0 in k 2.764 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.764 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.764 * [taylor]: Taking taylor expansion of -2.0 in k 2.764 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.764 * [taylor]: Taking taylor expansion of PI in k 2.764 * [taylor]: Taking taylor expansion of n in k 2.765 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.765 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.765 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.765 * [taylor]: Taking taylor expansion of -1 in k 2.765 * [taylor]: Taking taylor expansion of k in k 2.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.766 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.766 * [taylor]: Taking taylor expansion of 0.5 in k 2.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) 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 1.0 in k 2.767 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.767 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.767 * [taylor]: Taking taylor expansion of -2.0 in k 2.767 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.767 * [taylor]: Taking taylor expansion of PI in k 2.767 * [taylor]: Taking taylor expansion of n in k 2.768 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.768 * [taylor]: Taking taylor expansion of +nan.0 in n 2.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.768 * [taylor]: Taking taylor expansion of 0.5 in n 2.768 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.768 * [taylor]: Taking taylor expansion of k in n 2.768 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.768 * [taylor]: Taking taylor expansion of -2.0 in n 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 2.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.777 * [taylor]: Taking taylor expansion of +nan.0 in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.777 * [taylor]: Taking taylor expansion of 0.5 in n 2.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.777 * [taylor]: Taking taylor expansion of k in n 2.777 * [taylor]: Taking taylor expansion of 1.0 in n 2.777 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.777 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.777 * [taylor]: Taking taylor expansion of -2.0 in n 2.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.777 * [taylor]: Taking taylor expansion of PI in n 2.777 * [taylor]: Taking taylor expansion of n in n 2.796 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 2.796 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.796 * [taylor]: Taking taylor expansion of +nan.0 in n 2.796 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.797 * [taylor]: Taking taylor expansion of 0.5 in n 2.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.797 * [taylor]: Taking taylor expansion of k in n 2.797 * [taylor]: Taking taylor expansion of 1.0 in n 2.797 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.797 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.797 * [taylor]: Taking taylor expansion of -2.0 in n 2.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.797 * [taylor]: Taking taylor expansion of PI in n 2.797 * [taylor]: Taking taylor expansion of n in n 2.807 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.808 * [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 2.808 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.808 * [taylor]: Taking taylor expansion of 1.0 in n 2.808 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.808 * [taylor]: Taking taylor expansion of k in n 2.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.808 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.808 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.808 * [taylor]: Taking taylor expansion of 0.5 in n 2.808 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.808 * [taylor]: Taking taylor expansion of 1.0 in n 2.808 * [taylor]: Taking taylor expansion of k in n 2.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.808 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.808 * [taylor]: Taking taylor expansion of 2.0 in n 2.808 * [taylor]: Taking taylor expansion of (* n PI) in n 2.808 * [taylor]: Taking taylor expansion of n in n 2.808 * [taylor]: Taking taylor expansion of PI in n 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.814 * [taylor]: Taking taylor expansion of 1.0 in k 2.814 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.814 * [taylor]: Taking taylor expansion of k in k 2.815 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.815 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.815 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.815 * [taylor]: Taking taylor expansion of 0.5 in k 2.816 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.816 * [taylor]: Taking taylor expansion of 1.0 in k 2.816 * [taylor]: Taking taylor expansion of k in k 2.816 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.816 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.816 * [taylor]: Taking taylor expansion of 2.0 in k 2.816 * [taylor]: Taking taylor expansion of (* n PI) in k 2.816 * [taylor]: Taking taylor expansion of n in k 2.816 * [taylor]: Taking taylor expansion of PI in k 2.817 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.817 * [taylor]: Taking taylor expansion of 1.0 in k 2.817 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.817 * [taylor]: Taking taylor expansion of k in k 2.818 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.818 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.818 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.818 * [taylor]: Taking taylor expansion of 0.5 in k 2.818 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.818 * [taylor]: Taking taylor expansion of 1.0 in k 2.818 * [taylor]: Taking taylor expansion of k in k 2.818 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.818 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.818 * [taylor]: Taking taylor expansion of 2.0 in k 2.818 * [taylor]: Taking taylor expansion of (* n PI) in k 2.818 * [taylor]: Taking taylor expansion of n in k 2.818 * [taylor]: Taking taylor expansion of PI in k 2.820 * [taylor]: Taking taylor expansion of 0 in n 2.831 * [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 2.831 * [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 2.831 * [taylor]: Taking taylor expansion of +nan.0 in n 2.831 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.831 * [taylor]: Taking taylor expansion of 0.5 in n 2.831 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.832 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (log PI) in n 2.832 * [taylor]: Taking taylor expansion of PI in n 2.833 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.834 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.834 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [taylor]: Taking taylor expansion of (log n) in n 2.834 * [taylor]: Taking taylor expansion of n in n 2.834 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.834 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.834 * [taylor]: Taking taylor expansion of 2.0 in n 2.854 * [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 2.854 * [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 2.854 * [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 2.854 * [taylor]: Taking taylor expansion of +nan.0 in n 2.854 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.854 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.854 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.854 * [taylor]: Taking taylor expansion of 0.5 in n 2.854 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.854 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.854 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.854 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.854 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.854 * [taylor]: Taking taylor expansion of 1.0 in n 2.854 * [taylor]: Taking taylor expansion of (log PI) in n 2.854 * [taylor]: Taking taylor expansion of PI in n 2.856 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.856 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.857 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.857 * [taylor]: Taking taylor expansion of 1.0 in n 2.857 * [taylor]: Taking taylor expansion of (log n) in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.857 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.857 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.857 * [taylor]: Taking taylor expansion of 1.0 in n 2.857 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.857 * [taylor]: Taking taylor expansion of 2.0 in n 2.863 * [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 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of +nan.0 in n 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.863 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.863 * [taylor]: Taking taylor expansion of 0.5 in n 2.863 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.863 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.863 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.863 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.863 * [taylor]: Taking taylor expansion of 1.0 in n 2.863 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.863 * [taylor]: Taking taylor expansion of 2.0 in n 2.865 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.865 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.865 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.865 * [taylor]: Taking taylor expansion of 1.0 in n 2.865 * [taylor]: Taking taylor expansion of (log PI) in n 2.865 * [taylor]: Taking taylor expansion of PI in n 2.867 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.867 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.867 * [taylor]: Taking taylor expansion of 1.0 in n 2.867 * [taylor]: Taking taylor expansion of (log n) in n 2.867 * [taylor]: Taking taylor expansion of n 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 2.927 * [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 2.927 * [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 2.927 * [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 2.927 * [taylor]: Taking taylor expansion of +nan.0 in n 2.927 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.927 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.927 * [taylor]: Taking taylor expansion of 0.5 in n 2.927 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.927 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.927 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.927 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.927 * [taylor]: Taking taylor expansion of 1.0 in n 2.927 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.927 * [taylor]: Taking taylor expansion of 2.0 in n 2.929 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.929 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.929 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.929 * [taylor]: Taking taylor expansion of 1.0 in n 2.929 * [taylor]: Taking taylor expansion of (log n) in n 2.929 * [taylor]: Taking taylor expansion of n in n 2.930 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.930 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.930 * [taylor]: Taking taylor expansion of 1.0 in n 2.930 * [taylor]: Taking taylor expansion of (log PI) in n 2.930 * [taylor]: Taking taylor expansion of PI in n 2.935 * [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 2.935 * [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 2.935 * [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 2.935 * [taylor]: Taking taylor expansion of +nan.0 in n 2.935 * [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 2.936 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.936 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.936 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.936 * [taylor]: Taking taylor expansion of 0.5 in n 2.936 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.936 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.936 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.936 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.936 * [taylor]: Taking taylor expansion of 1.0 in n 2.936 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.936 * [taylor]: Taking taylor expansion of 2.0 in n 2.937 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.938 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.938 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.938 * [taylor]: Taking taylor expansion of 1.0 in n 2.938 * [taylor]: Taking taylor expansion of (log PI) in n 2.938 * [taylor]: Taking taylor expansion of PI in n 2.939 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.940 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.940 * [taylor]: Taking taylor expansion of 1.0 in n 2.940 * [taylor]: Taking taylor expansion of (log n) in n 2.940 * [taylor]: Taking taylor expansion of n in n 2.944 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.944 * [taylor]: Taking taylor expansion of 2.0 in n 2.944 * [taylor]: Taking taylor expansion of (* n PI) in n 2.944 * [taylor]: Taking taylor expansion of n in n 2.944 * [taylor]: Taking taylor expansion of PI in n 2.947 * [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 2.947 * [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 2.947 * [taylor]: Taking taylor expansion of +nan.0 in n 2.947 * [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 2.947 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.947 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.947 * [taylor]: Taking taylor expansion of 0.5 in n 2.947 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.947 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.947 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.947 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.947 * [taylor]: Taking taylor expansion of 1.0 in n 2.947 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.947 * [taylor]: Taking taylor expansion of 2.0 in n 2.949 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.949 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.949 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.949 * [taylor]: Taking taylor expansion of 1.0 in n 2.949 * [taylor]: Taking taylor expansion of (log PI) in n 2.949 * [taylor]: Taking taylor expansion of PI in n 2.951 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.951 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.951 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.951 * [taylor]: Taking taylor expansion of 1.0 in n 2.951 * [taylor]: Taking taylor expansion of (log n) in n 2.951 * [taylor]: Taking taylor expansion of n in n 2.955 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.956 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.956 * [taylor]: Taking taylor expansion of 2.0 in n 2.956 * [taylor]: Taking taylor expansion of (* n PI) in n 2.956 * [taylor]: Taking taylor expansion of n in n 2.956 * [taylor]: Taking taylor expansion of PI in n 3.178 * [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 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.178 * [taylor]: Taking taylor expansion of 1.0 in n 3.178 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.179 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.179 * [taylor]: Taking taylor expansion of k in n 3.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.179 * [taylor]: Taking taylor expansion of 0.5 in n 3.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.179 * [taylor]: Taking taylor expansion of 1.0 in n 3.179 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.179 * [taylor]: Taking taylor expansion of k in n 3.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.179 * [taylor]: Taking taylor expansion of 2.0 in n 3.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.179 * [taylor]: Taking taylor expansion of PI in n 3.179 * [taylor]: Taking taylor expansion of n in n 3.183 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.183 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.183 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.184 * [taylor]: Taking taylor expansion of 0.5 in k 3.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.184 * [taylor]: Taking taylor expansion of 1.0 in k 3.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.184 * [taylor]: Taking taylor expansion of k in k 3.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.184 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.184 * [taylor]: Taking taylor expansion of 2.0 in k 3.185 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.185 * [taylor]: Taking taylor expansion of PI in k 3.185 * [taylor]: Taking taylor expansion of n in k 3.186 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.186 * [taylor]: Taking taylor expansion of 1.0 in k 3.186 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.186 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.186 * [taylor]: Taking taylor expansion of k in k 3.187 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.187 * [taylor]: Taking taylor expansion of 0.5 in k 3.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.187 * [taylor]: Taking taylor expansion of 1.0 in k 3.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.187 * [taylor]: Taking taylor expansion of k in k 3.187 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.187 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.187 * [taylor]: Taking taylor expansion of 2.0 in k 3.187 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.187 * [taylor]: Taking taylor expansion of PI in k 3.187 * [taylor]: Taking taylor expansion of n in k 3.189 * [taylor]: Taking taylor expansion of 0 in n 3.190 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.190 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.190 * [taylor]: Taking taylor expansion of +nan.0 in n 3.190 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.190 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.190 * [taylor]: Taking taylor expansion of 0.5 in n 3.190 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.190 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.190 * [taylor]: Taking taylor expansion of 2.0 in n 3.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.190 * [taylor]: Taking taylor expansion of PI in n 3.190 * [taylor]: Taking taylor expansion of n in n 3.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.191 * [taylor]: Taking taylor expansion of 1.0 in n 3.191 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.191 * [taylor]: Taking taylor expansion of k in n 3.200 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.200 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.200 * [taylor]: Taking taylor expansion of +nan.0 in n 3.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.200 * [taylor]: Taking taylor expansion of 0.5 in n 3.200 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.200 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.200 * [taylor]: Taking taylor expansion of 2.0 in n 3.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.200 * [taylor]: Taking taylor expansion of PI in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.201 * [taylor]: Taking taylor expansion of 1.0 in n 3.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.201 * [taylor]: Taking taylor expansion of k in n 3.218 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.219 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.219 * [taylor]: Taking taylor expansion of +nan.0 in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.219 * [taylor]: Taking taylor expansion of 0.5 in n 3.219 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.219 * [taylor]: Taking taylor expansion of PI in n 3.219 * [taylor]: Taking taylor expansion of n in n 3.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.220 * [taylor]: Taking taylor expansion of 1.0 in n 3.220 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.220 * [taylor]: Taking taylor expansion of k in n 3.229 * [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 3.229 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.229 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.229 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.229 * [taylor]: Taking taylor expansion of 0.5 in n 3.229 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.229 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.229 * [taylor]: Taking taylor expansion of k in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.229 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.229 * [taylor]: Taking taylor expansion of -2.0 in n 3.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.229 * [taylor]: Taking taylor expansion of PI in n 3.229 * [taylor]: Taking taylor expansion of n in n 3.233 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.233 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.233 * [taylor]: Taking taylor expansion of -1 in n 3.233 * [taylor]: Taking taylor expansion of k in n 3.234 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.234 * [taylor]: Taking taylor expansion of 1.0 in k 3.234 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.234 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.234 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.234 * [taylor]: Taking taylor expansion of 0.5 in k 3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.234 * [taylor]: Taking taylor expansion of k in k 3.234 * [taylor]: Taking taylor expansion of 1.0 in k 3.235 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.235 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.235 * [taylor]: Taking taylor expansion of -2.0 in k 3.235 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.235 * [taylor]: Taking taylor expansion of PI in k 3.235 * [taylor]: Taking taylor expansion of n in k 3.235 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.235 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.235 * [taylor]: Taking taylor expansion of -1 in k 3.235 * [taylor]: Taking taylor expansion of k in k 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.237 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.237 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.237 * [taylor]: Taking taylor expansion of 0.5 in k 3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.237 * [taylor]: Taking taylor expansion of k in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.238 * [taylor]: Taking taylor expansion of -2.0 in k 3.238 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.238 * [taylor]: Taking taylor expansion of PI in k 3.238 * [taylor]: Taking taylor expansion of n in k 3.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.238 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.238 * [taylor]: Taking taylor expansion of -1 in k 3.238 * [taylor]: Taking taylor expansion of k in k 3.245 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.245 * [taylor]: Taking taylor expansion of +nan.0 in n 3.245 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.245 * [taylor]: Taking taylor expansion of 0.5 in n 3.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.245 * [taylor]: Taking taylor expansion of k in n 3.245 * [taylor]: Taking taylor expansion of 1.0 in n 3.245 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.245 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.245 * [taylor]: Taking taylor expansion of -2.0 in n 3.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.245 * [taylor]: Taking taylor expansion of PI in n 3.245 * [taylor]: Taking taylor expansion of n in n 3.255 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.255 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.255 * [taylor]: Taking taylor expansion of +nan.0 in n 3.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.255 * [taylor]: Taking taylor expansion of 0.5 in n 3.255 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.255 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.255 * [taylor]: Taking taylor expansion of k in n 3.255 * [taylor]: Taking taylor expansion of 1.0 in n 3.255 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.255 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.255 * [taylor]: Taking taylor expansion of -2.0 in n 3.255 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.255 * [taylor]: Taking taylor expansion of PI in n 3.255 * [taylor]: Taking taylor expansion of n in n 3.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.273 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.273 * [taylor]: Taking taylor expansion of +nan.0 in n 3.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.273 * [taylor]: Taking taylor expansion of 0.5 in n 3.273 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.273 * [taylor]: Taking taylor expansion of k in n 3.273 * [taylor]: Taking taylor expansion of 1.0 in n 3.273 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.273 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.273 * [taylor]: Taking taylor expansion of -2.0 in n 3.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.273 * [taylor]: Taking taylor expansion of PI in n 3.273 * [taylor]: Taking taylor expansion of n in n 3.283 * * * [progress]: simplifying candidates 3.288 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (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))))) (cbrt (/ (sqrt k) (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)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (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 (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (* (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))))) (/ (cbrt (sqrt k)) (cbrt (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)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (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) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (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)))) (/ (sqrt (* (cbrt k) (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 (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (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) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow 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))))) (/ (sqrt (sqrt k)) (cbrt (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 (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 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n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +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 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(pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 3.310 * * [simplify]: iteration 0 : 1543 enodes (cost 4220 ) 3.338 * * [simplify]: iteration 1 : 5001 enodes (cost 4048 ) 3.356 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* 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PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +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))) (- (* +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)))))))) (- (* +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))))))))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 3.358 * * * [progress]: adding candidates to table 4.096 * * [progress]: iteration 4 / 4 4.096 * * * [progress]: picking best candidate 4.115 * * * * [pick]: Picked # 4.115 * * * [progress]: localizing error 4.130 * * * [progress]: generating rewritten candidates 4.130 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 4.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 4.149 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.175 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 1) 4.187 * * * [progress]: generating series expansions 4.187 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 4.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.188 * [taylor]: Taking taylor expansion of 0.5 in k 4.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.188 * [taylor]: Taking taylor expansion of 1.0 in k 4.188 * [taylor]: Taking taylor expansion of k in k 4.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.188 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.188 * [taylor]: Taking taylor expansion of 2.0 in k 4.188 * [taylor]: Taking taylor expansion of (* n PI) in k 4.188 * [taylor]: Taking taylor expansion of n in k 4.188 * [taylor]: Taking taylor expansion of PI in k 4.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.190 * [taylor]: Taking taylor expansion of 0.5 in n 4.190 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.190 * [taylor]: Taking taylor expansion of 1.0 in n 4.190 * [taylor]: Taking taylor expansion of k in n 4.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.190 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.190 * [taylor]: Taking taylor expansion of 2.0 in n 4.190 * [taylor]: Taking taylor expansion of (* n PI) in n 4.190 * [taylor]: Taking taylor expansion of n in n 4.190 * [taylor]: Taking taylor expansion of PI in n 4.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.195 * [taylor]: Taking taylor expansion of 0.5 in n 4.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.195 * [taylor]: Taking taylor expansion of 1.0 in n 4.195 * [taylor]: Taking taylor expansion of k in n 4.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.195 * [taylor]: Taking taylor expansion of 2.0 in n 4.195 * [taylor]: Taking taylor expansion of (* n PI) in n 4.195 * [taylor]: Taking taylor expansion of n in n 4.195 * [taylor]: Taking taylor expansion of PI in n 4.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.201 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.201 * [taylor]: Taking taylor expansion of 0.5 in k 4.201 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.201 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [taylor]: Taking taylor expansion of k in k 4.201 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.201 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.201 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.201 * [taylor]: Taking taylor expansion of 2.0 in k 4.201 * [taylor]: Taking taylor expansion of PI in k 4.202 * [taylor]: Taking taylor expansion of (log n) in k 4.202 * [taylor]: Taking taylor expansion of n in k 4.211 * [taylor]: Taking taylor expansion of 0 in k 4.228 * [taylor]: Taking taylor expansion of 0 in k 4.252 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.252 * [taylor]: Taking taylor expansion of 2.0 in k 4.252 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.252 * [taylor]: Taking taylor expansion of PI in k 4.252 * [taylor]: Taking taylor expansion of n in k 4.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.253 * [taylor]: Taking taylor expansion of 0.5 in n 4.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.254 * [taylor]: Taking taylor expansion of 1.0 in n 4.254 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.254 * [taylor]: Taking taylor expansion of k in n 4.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.254 * [taylor]: Taking taylor expansion of 2.0 in n 4.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.254 * [taylor]: Taking taylor expansion of PI in n 4.254 * [taylor]: Taking taylor expansion of n in n 4.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.257 * [taylor]: Taking taylor expansion of 0.5 in n 4.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.257 * [taylor]: Taking taylor expansion of 1.0 in n 4.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.257 * [taylor]: Taking taylor expansion of k in n 4.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.258 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.258 * [taylor]: Taking taylor expansion of 2.0 in n 4.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.258 * [taylor]: Taking taylor expansion of PI in n 4.258 * [taylor]: Taking taylor expansion of n in n 4.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.261 * [taylor]: Taking taylor expansion of 0.5 in k 4.261 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.261 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.261 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.261 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.261 * [taylor]: Taking taylor expansion of 2.0 in k 4.261 * [taylor]: Taking taylor expansion of PI in k 4.262 * [taylor]: Taking taylor expansion of (log n) in k 4.262 * [taylor]: Taking taylor expansion of n in k 4.262 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.262 * [taylor]: Taking taylor expansion of 1.0 in k 4.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.262 * [taylor]: Taking taylor expansion of k in k 4.272 * [taylor]: Taking taylor expansion of 0 in k 4.279 * [taylor]: Taking taylor expansion of 0 in k 4.288 * [taylor]: Taking taylor expansion of 0 in k 4.290 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.290 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.290 * [taylor]: Taking taylor expansion of 0.5 in k 4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.290 * [taylor]: Taking taylor expansion of k in k 4.290 * [taylor]: Taking taylor expansion of 1.0 in k 4.290 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.290 * [taylor]: Taking taylor expansion of -2.0 in k 4.290 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.290 * [taylor]: Taking taylor expansion of PI in k 4.290 * [taylor]: Taking taylor expansion of n in k 4.291 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.291 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.291 * [taylor]: Taking taylor expansion of 0.5 in n 4.291 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.291 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.291 * [taylor]: Taking taylor expansion of k in n 4.291 * [taylor]: Taking taylor expansion of 1.0 in n 4.291 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.291 * [taylor]: Taking taylor expansion of -2.0 in n 4.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.291 * [taylor]: Taking taylor expansion of PI in n 4.291 * [taylor]: Taking taylor expansion of n in n 4.295 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.295 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.295 * [taylor]: Taking taylor expansion of 0.5 in n 4.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.295 * [taylor]: Taking taylor expansion of k in n 4.295 * [taylor]: Taking taylor expansion of 1.0 in n 4.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.295 * [taylor]: Taking taylor expansion of -2.0 in n 4.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.295 * [taylor]: Taking taylor expansion of PI in n 4.295 * [taylor]: Taking taylor expansion of n in n 4.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.299 * [taylor]: Taking taylor expansion of 0.5 in k 4.299 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.299 * [taylor]: Taking taylor expansion of k in k 4.299 * [taylor]: Taking taylor expansion of 1.0 in k 4.299 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.299 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.299 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.299 * [taylor]: Taking taylor expansion of -2.0 in k 4.299 * [taylor]: Taking taylor expansion of PI in k 4.300 * [taylor]: Taking taylor expansion of (log n) in k 4.300 * [taylor]: Taking taylor expansion of n in k 4.309 * [taylor]: Taking taylor expansion of 0 in k 4.316 * [taylor]: Taking taylor expansion of 0 in k 4.325 * [taylor]: Taking taylor expansion of 0 in k 4.326 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 4.326 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.326 * [taylor]: Taking taylor expansion of 0.5 in k 4.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.326 * [taylor]: Taking taylor expansion of 1.0 in k 4.326 * [taylor]: Taking taylor expansion of k in k 4.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.326 * [taylor]: Taking taylor expansion of 2.0 in k 4.327 * [taylor]: Taking taylor expansion of (* n PI) in k 4.327 * [taylor]: Taking taylor expansion of n in k 4.327 * [taylor]: Taking taylor expansion of PI in k 4.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.333 * [taylor]: Taking taylor expansion of 0.5 in n 4.333 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.333 * [taylor]: Taking taylor expansion of 1.0 in n 4.333 * [taylor]: Taking taylor expansion of k in n 4.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.333 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.333 * [taylor]: Taking taylor expansion of 2.0 in n 4.333 * [taylor]: Taking taylor expansion of (* n PI) in n 4.333 * [taylor]: Taking taylor expansion of n in n 4.333 * [taylor]: Taking taylor expansion of PI in n 4.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.338 * [taylor]: Taking taylor expansion of 0.5 in n 4.338 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.339 * [taylor]: Taking taylor expansion of 1.0 in n 4.339 * [taylor]: Taking taylor expansion of k in n 4.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.339 * [taylor]: Taking taylor expansion of 2.0 in n 4.339 * [taylor]: Taking taylor expansion of (* n PI) in n 4.339 * [taylor]: Taking taylor expansion of n in n 4.339 * [taylor]: Taking taylor expansion of PI in n 4.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.344 * [taylor]: Taking taylor expansion of 0.5 in k 4.344 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.344 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.344 * [taylor]: Taking taylor expansion of 1.0 in k 4.344 * [taylor]: Taking taylor expansion of k in k 4.344 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.344 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.344 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.344 * [taylor]: Taking taylor expansion of 2.0 in k 4.344 * [taylor]: Taking taylor expansion of PI in k 4.345 * [taylor]: Taking taylor expansion of (log n) in k 4.345 * [taylor]: Taking taylor expansion of n in k 4.355 * [taylor]: Taking taylor expansion of 0 in k 4.371 * [taylor]: Taking taylor expansion of 0 in k 4.390 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.390 * [taylor]: Taking taylor expansion of 0.5 in k 4.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.390 * [taylor]: Taking taylor expansion of 1.0 in k 4.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.390 * [taylor]: Taking taylor expansion of k in k 4.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.390 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.390 * [taylor]: Taking taylor expansion of 2.0 in k 4.390 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.390 * [taylor]: Taking taylor expansion of PI in k 4.390 * [taylor]: Taking taylor expansion of n in k 4.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.391 * [taylor]: Taking taylor expansion of 0.5 in n 4.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.391 * [taylor]: Taking taylor expansion of 1.0 in n 4.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.391 * [taylor]: Taking taylor expansion of k in n 4.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.392 * [taylor]: Taking taylor expansion of 2.0 in n 4.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.392 * [taylor]: Taking taylor expansion of PI in n 4.392 * [taylor]: Taking taylor expansion of n in n 4.395 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.395 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.395 * [taylor]: Taking taylor expansion of 0.5 in n 4.395 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.395 * [taylor]: Taking taylor expansion of k in n 4.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.396 * [taylor]: Taking taylor expansion of 2.0 in n 4.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.396 * [taylor]: Taking taylor expansion of PI in n 4.396 * [taylor]: Taking taylor expansion of n in n 4.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.399 * [taylor]: Taking taylor expansion of 0.5 in k 4.399 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.399 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.399 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.399 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.399 * [taylor]: Taking taylor expansion of 2.0 in k 4.399 * [taylor]: Taking taylor expansion of PI in k 4.400 * [taylor]: Taking taylor expansion of (log n) in k 4.400 * [taylor]: Taking taylor expansion of n in k 4.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.401 * [taylor]: Taking taylor expansion of 1.0 in k 4.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.401 * [taylor]: Taking taylor expansion of k in k 4.410 * [taylor]: Taking taylor expansion of 0 in k 4.423 * [taylor]: Taking taylor expansion of 0 in k 4.432 * [taylor]: Taking taylor expansion of 0 in k 4.433 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.433 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.433 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.433 * [taylor]: Taking taylor expansion of 0.5 in k 4.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.433 * [taylor]: Taking taylor expansion of k in k 4.434 * [taylor]: Taking taylor expansion of 1.0 in k 4.434 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.434 * [taylor]: Taking taylor expansion of -2.0 in k 4.434 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.434 * [taylor]: Taking taylor expansion of PI in k 4.434 * [taylor]: Taking taylor expansion of n in k 4.435 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.435 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.435 * [taylor]: Taking taylor expansion of 0.5 in n 4.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.435 * [taylor]: Taking taylor expansion of k in n 4.435 * [taylor]: Taking taylor expansion of 1.0 in n 4.435 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.435 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.435 * [taylor]: Taking taylor expansion of -2.0 in n 4.435 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.435 * [taylor]: Taking taylor expansion of PI in n 4.435 * [taylor]: Taking taylor expansion of n in n 4.439 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.439 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.439 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.439 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.439 * [taylor]: Taking taylor expansion of 0.5 in n 4.439 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.439 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.439 * [taylor]: Taking taylor expansion of k in n 4.439 * [taylor]: Taking taylor expansion of 1.0 in n 4.439 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.439 * [taylor]: Taking taylor expansion of -2.0 in n 4.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.439 * [taylor]: Taking taylor expansion of PI in n 4.439 * [taylor]: Taking taylor expansion of n in n 4.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.443 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.443 * [taylor]: Taking taylor expansion of 0.5 in k 4.443 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.443 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.443 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.443 * [taylor]: Taking taylor expansion of k in k 4.443 * [taylor]: Taking taylor expansion of 1.0 in k 4.443 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.443 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.443 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.443 * [taylor]: Taking taylor expansion of -2.0 in k 4.443 * [taylor]: Taking taylor expansion of PI in k 4.444 * [taylor]: Taking taylor expansion of (log n) in k 4.444 * [taylor]: Taking taylor expansion of n in k 4.453 * [taylor]: Taking taylor expansion of 0 in k 4.460 * [taylor]: Taking taylor expansion of 0 in k 4.469 * [taylor]: Taking taylor expansion of 0 in k 4.470 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.471 * [approximate]: Taking taylor expansion of (* (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) (sqrt (/ 1 k))) in (n k) around 0 4.471 * [taylor]: Taking taylor expansion of (* (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) (sqrt (/ 1 k))) in k 4.471 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 4.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.471 * [taylor]: Taking taylor expansion of 0.5 in k 4.471 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.471 * [taylor]: Taking taylor expansion of 1.0 in k 4.471 * [taylor]: Taking taylor expansion of k in k 4.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.471 * [taylor]: Taking taylor expansion of 2.0 in k 4.471 * [taylor]: Taking taylor expansion of (* n PI) in k 4.471 * [taylor]: Taking taylor expansion of n in k 4.472 * [taylor]: Taking taylor expansion of PI in k 4.472 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.473 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.473 * [taylor]: Taking taylor expansion of 1.0 in k 4.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.473 * [taylor]: Taking taylor expansion of k in k 4.475 * [taylor]: Taking taylor expansion of (* (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) (sqrt (/ 1 k))) in n 4.475 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 4.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.475 * [taylor]: Taking taylor expansion of 0.5 in n 4.475 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [taylor]: Taking taylor expansion of k in n 4.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.475 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.475 * [taylor]: Taking taylor expansion of 2.0 in n 4.475 * [taylor]: Taking taylor expansion of (* n PI) in n 4.475 * [taylor]: Taking taylor expansion of n in n 4.475 * [taylor]: Taking taylor expansion of PI in n 4.481 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.481 * [taylor]: Taking taylor expansion of 1.0 in n 4.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.481 * [taylor]: Taking taylor expansion of k in n 4.482 * [taylor]: Taking taylor expansion of (* (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) (sqrt (/ 1 k))) in n 4.482 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 4.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.482 * [taylor]: Taking taylor expansion of 0.5 in n 4.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.482 * [taylor]: Taking taylor expansion of 1.0 in n 4.482 * [taylor]: Taking taylor expansion of k in n 4.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.482 * [taylor]: Taking taylor expansion of 2.0 in n 4.482 * [taylor]: Taking taylor expansion of (* n PI) in n 4.482 * [taylor]: Taking taylor expansion of n in n 4.482 * [taylor]: Taking taylor expansion of PI in n 4.488 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.488 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.488 * [taylor]: Taking taylor expansion of 1.0 in n 4.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.488 * [taylor]: Taking taylor expansion of k in n 4.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.492 * [taylor]: Taking taylor expansion of k in k 4.494 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.494 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.494 * [taylor]: Taking taylor expansion of 1.0 in k 4.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.494 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.494 * [taylor]: Taking taylor expansion of 0.5 in k 4.494 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.494 * [taylor]: Taking taylor expansion of 1.0 in k 4.494 * [taylor]: Taking taylor expansion of k in k 4.494 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.495 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.495 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.495 * [taylor]: Taking taylor expansion of 2.0 in k 4.495 * [taylor]: Taking taylor expansion of PI in k 4.496 * [taylor]: Taking taylor expansion of (log n) in k 4.496 * [taylor]: Taking taylor expansion of n in k 4.517 * [taylor]: Taking taylor expansion of 0 in k 4.546 * [taylor]: Taking taylor expansion of 0 in k 4.603 * [taylor]: Taking taylor expansion of 0 in k 4.694 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.694 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.695 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.695 * [taylor]: Taking taylor expansion of k in k 4.696 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.696 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.696 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.696 * [taylor]: Taking taylor expansion of 1.0 in k 4.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.697 * [taylor]: Taking taylor expansion of 0.5 in k 4.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.697 * [taylor]: Taking taylor expansion of 1.0 in k 4.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.697 * [taylor]: Taking taylor expansion of k in k 4.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.697 * [taylor]: Taking taylor expansion of 2.0 in k 4.697 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.697 * [taylor]: Taking taylor expansion of PI in k 4.697 * [taylor]: Taking taylor expansion of n in k 4.698 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.698 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.698 * [taylor]: Taking taylor expansion of k in n 4.698 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.698 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.698 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.698 * [taylor]: Taking taylor expansion of 1.0 in n 4.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.699 * [taylor]: Taking taylor expansion of 0.5 in n 4.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.699 * [taylor]: Taking taylor expansion of 1.0 in n 4.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.699 * [taylor]: Taking taylor expansion of k in n 4.699 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.699 * [taylor]: Taking taylor expansion of 2.0 in n 4.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.699 * [taylor]: Taking taylor expansion of PI in n 4.699 * [taylor]: Taking taylor expansion of n in n 4.703 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.703 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.703 * [taylor]: Taking taylor expansion of k in n 4.703 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.703 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.703 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.704 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.704 * [taylor]: Taking taylor expansion of 0.5 in n 4.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.704 * [taylor]: Taking taylor expansion of 1.0 in n 4.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.704 * [taylor]: Taking taylor expansion of k in n 4.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.704 * [taylor]: Taking taylor expansion of 2.0 in n 4.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.704 * [taylor]: Taking taylor expansion of PI in n 4.704 * [taylor]: Taking taylor expansion of n in n 4.711 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.711 * [taylor]: Taking taylor expansion of k in k 4.712 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.712 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.713 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.713 * [taylor]: Taking taylor expansion of 1.0 in k 4.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.713 * [taylor]: Taking taylor expansion of 0.5 in k 4.713 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.713 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.713 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.713 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.713 * [taylor]: Taking taylor expansion of 2.0 in k 4.713 * [taylor]: Taking taylor expansion of PI in k 4.714 * [taylor]: Taking taylor expansion of (log n) in k 4.714 * [taylor]: Taking taylor expansion of n in k 4.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.714 * [taylor]: Taking taylor expansion of 1.0 in k 4.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.714 * [taylor]: Taking taylor expansion of k in k 4.730 * [taylor]: Taking taylor expansion of 0 in k 4.746 * [taylor]: Taking taylor expansion of 0 in k 4.769 * [taylor]: Taking taylor expansion of 0 in k 4.790 * [approximate]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in (n k) around 0 4.790 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 4.790 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in k 4.790 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.790 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.790 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.790 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.790 * [taylor]: Taking taylor expansion of 0.5 in k 4.790 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.790 * [taylor]: Taking taylor expansion of k in k 4.791 * [taylor]: Taking taylor expansion of 1.0 in k 4.791 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.791 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.791 * [taylor]: Taking taylor expansion of -2.0 in k 4.791 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.791 * [taylor]: Taking taylor expansion of PI in k 4.791 * [taylor]: Taking taylor expansion of n in k 4.792 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.792 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.792 * [taylor]: Taking taylor expansion of 1.0 in k 4.792 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.792 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.793 * [taylor]: Taking taylor expansion of -1 in k 4.793 * [taylor]: Taking taylor expansion of k in k 4.796 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 4.796 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 4.796 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.796 * [taylor]: Taking taylor expansion of 0.5 in n 4.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.796 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.796 * [taylor]: Taking taylor expansion of k in n 4.796 * [taylor]: Taking taylor expansion of 1.0 in n 4.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.796 * [taylor]: Taking taylor expansion of -2.0 in n 4.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.796 * [taylor]: Taking taylor expansion of PI in n 4.796 * [taylor]: Taking taylor expansion of n in n 4.800 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.800 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.801 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.801 * [taylor]: Taking taylor expansion of -1 in n 4.801 * [taylor]: Taking taylor expansion of k in n 4.805 * [taylor]: Taking taylor expansion of (/ (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in n 4.805 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt 1.0) 2)) in n 4.805 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.805 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.805 * [taylor]: Taking taylor expansion of 0.5 in n 4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.805 * [taylor]: Taking taylor expansion of k in n 4.805 * [taylor]: Taking taylor expansion of 1.0 in n 4.805 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.805 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.805 * [taylor]: Taking taylor expansion of -2.0 in n 4.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.805 * [taylor]: Taking taylor expansion of PI in n 4.805 * [taylor]: Taking taylor expansion of n in n 4.809 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.809 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.809 * [taylor]: Taking taylor expansion of 1.0 in n 4.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.809 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.809 * [taylor]: Taking taylor expansion of -1 in n 4.810 * [taylor]: Taking taylor expansion of k in n 4.813 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (pow (sqrt 1.0) 2)) (sqrt (/ -1 k))) in k 4.813 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (pow (sqrt 1.0) 2)) in k 4.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.813 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.813 * [taylor]: Taking taylor expansion of 0.5 in k 4.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.813 * [taylor]: Taking taylor expansion of k in k 4.814 * [taylor]: Taking taylor expansion of 1.0 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 4.818 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.818 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.818 * [taylor]: Taking taylor expansion of 1.0 in k 4.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.819 * [taylor]: Taking taylor expansion of -1 in k 4.819 * [taylor]: Taking taylor expansion of k in k 4.833 * [taylor]: Taking taylor expansion of 0 in k 4.852 * [taylor]: Taking taylor expansion of 0 in k 4.873 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 1) 4.874 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.874 * [taylor]: Taking taylor expansion of 2.0 in n 4.874 * [taylor]: Taking taylor expansion of (* n PI) in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.874 * [taylor]: Taking taylor expansion of PI in n 4.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.874 * [taylor]: Taking taylor expansion of 2.0 in n 4.874 * [taylor]: Taking taylor expansion of (* n PI) in n 4.874 * [taylor]: Taking taylor expansion of n in n 4.874 * [taylor]: Taking taylor expansion of PI in n 4.886 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.886 * [taylor]: Taking taylor expansion of 2.0 in n 4.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.886 * [taylor]: Taking taylor expansion of PI in n 4.886 * [taylor]: Taking taylor expansion of 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 4.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.887 * [taylor]: Taking taylor expansion of PI in n 4.887 * [taylor]: Taking taylor expansion of n in n 4.896 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.896 * [taylor]: Taking taylor expansion of -2.0 in n 4.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.896 * [taylor]: Taking taylor expansion of PI in n 4.896 * [taylor]: Taking taylor expansion of n in n 4.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.896 * [taylor]: Taking taylor expansion of -2.0 in n 4.896 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.896 * [taylor]: Taking taylor expansion of PI in n 4.896 * [taylor]: Taking taylor expansion of n in n 4.905 * * * [progress]: simplifying candidates 4.908 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (+ 1 1) (+ (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (log (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (exp (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))))) (cbrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (sqrt (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (sqrt (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (sqrt (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))))) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (sqrt (sqrt (/ (* 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n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1 1 2 1 1 (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) 4) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) 4) 2 (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (pow (exp (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) 4) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k) (pow (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 4) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt k)) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) 1 2 1 (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))))) (* (fabs (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 3) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt 1.0)) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt 1.0)) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 4) (* (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 3) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k)))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k)))) (sqrt (/ (* 1.0 (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 (/ (* 1.0 (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))) (sqrt (/ (* 1.0 (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 (/ (* 1.0 (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))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) 3) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (- (* (* +nan.0 k) (* (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n))))) (* (* (* (pow k 2) (pow (sqrt 1.0) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (+ (- (* (* +nan.0 (pow k 2)) (* (* (pow (log (* 2.0 PI)) 2) (pow (sqrt 1.0) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n))))) (* (* +nan.0 (pow (sqrt 1.0) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n))))) (+ (- (* (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow (sqrt 1.0) 2)) (log (* 2.0 PI))) (pow k 2)) +nan.0) (* (* (* (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow (sqrt 1.0) 2)) (pow k 2)) +nan.0)) (+ (- (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow (sqrt 1.0) 2)) k) +nan.0) (* (* (* k (pow (sqrt 1.0) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (* (* +nan.0 (pow k 2)) (* (* (log (* 2.0 PI)) (pow (sqrt 1.0) 2)) (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)))) (pow (sqrt 1.0) 2)))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow (sqrt 1.0) 2)) k) (* (/ 1.0 (pow k 2)) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)))) (* (- +nan.0) (* (/ 1.0 k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)))) (+ (* +nan.0 (- (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (/ 1.0 k)))) (- (* +nan.0 (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.027 * * * [progress]: adding candidates to table 5.543 * [progress]: [Phase 3 of 3] Extracting. 5.543 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.546 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.546 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.583 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.616 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.651 * * * [regime]: Found split indices: #