11.285 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.093 * * * [progress]: [2/2] Setting up program. 0.095 * [progress]: [Phase 2 of 3] Improving. 0.096 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.098 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.099 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.101 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.104 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.109 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.132 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.133 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.133 * * [progress]: iteration 1 / 4 0.133 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.161 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.168 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.171 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.195 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.195 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.195 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.195 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.195 * [taylor]: Taking taylor expansion of 0.5 in k 0.195 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.195 * [taylor]: Taking taylor expansion of 1.0 in k 0.195 * [taylor]: Taking taylor expansion of k in k 0.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.195 * [taylor]: Taking taylor expansion of 2.0 in k 0.195 * [taylor]: Taking taylor expansion of (* n PI) in k 0.195 * [taylor]: Taking taylor expansion of n in k 0.195 * [taylor]: Taking taylor expansion of PI in k 0.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.196 * [taylor]: Taking taylor expansion of 0.5 in n 0.196 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.196 * [taylor]: Taking taylor expansion of 1.0 in n 0.196 * [taylor]: Taking taylor expansion of k in n 0.196 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.196 * [taylor]: Taking taylor expansion of 2.0 in n 0.196 * [taylor]: Taking taylor expansion of (* n PI) in n 0.196 * [taylor]: Taking taylor expansion of n in n 0.196 * [taylor]: Taking taylor expansion of PI in n 0.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.202 * [taylor]: Taking taylor expansion of 0.5 in n 0.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.202 * [taylor]: Taking taylor expansion of 1.0 in n 0.202 * [taylor]: Taking taylor expansion of k in n 0.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.202 * [taylor]: Taking taylor expansion of 2.0 in n 0.202 * [taylor]: Taking taylor expansion of (* n PI) in n 0.202 * [taylor]: Taking taylor expansion of n in n 0.202 * [taylor]: Taking taylor expansion of PI in n 0.207 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.207 * [taylor]: Taking taylor expansion of 0.5 in k 0.207 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.207 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.207 * [taylor]: Taking taylor expansion of 1.0 in k 0.207 * [taylor]: Taking taylor expansion of k in k 0.207 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.207 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.207 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.207 * [taylor]: Taking taylor expansion of 2.0 in k 0.207 * [taylor]: Taking taylor expansion of PI in k 0.208 * [taylor]: Taking taylor expansion of (log n) in k 0.208 * [taylor]: Taking taylor expansion of n in k 0.217 * [taylor]: Taking taylor expansion of 0 in k 0.238 * [taylor]: Taking taylor expansion of 0 in k 0.257 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.257 * [taylor]: Taking taylor expansion of 0.5 in k 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.257 * [taylor]: Taking taylor expansion of 1.0 in k 0.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.257 * [taylor]: Taking taylor expansion of k in k 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.257 * [taylor]: Taking taylor expansion of 2.0 in k 0.257 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.257 * [taylor]: Taking taylor expansion of PI in k 0.258 * [taylor]: Taking taylor expansion of n in k 0.259 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.259 * [taylor]: Taking taylor expansion of 0.5 in n 0.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.259 * [taylor]: Taking taylor expansion of 1.0 in n 0.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.259 * [taylor]: Taking taylor expansion of k in n 0.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.259 * [taylor]: Taking taylor expansion of 2.0 in n 0.259 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.259 * [taylor]: Taking taylor expansion of PI in n 0.259 * [taylor]: Taking taylor expansion of n in n 0.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.263 * [taylor]: Taking taylor expansion of 0.5 in n 0.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.263 * [taylor]: Taking taylor expansion of 1.0 in n 0.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.263 * [taylor]: Taking taylor expansion of k in n 0.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.263 * [taylor]: Taking taylor expansion of 2.0 in n 0.263 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.263 * [taylor]: Taking taylor expansion of PI in n 0.263 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.266 * [taylor]: Taking taylor expansion of 0.5 in k 0.266 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.267 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.267 * [taylor]: Taking taylor expansion of 2.0 in k 0.267 * [taylor]: Taking taylor expansion of PI in k 0.268 * [taylor]: Taking taylor expansion of (log n) in k 0.268 * [taylor]: Taking taylor expansion of n in k 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.268 * [taylor]: Taking taylor expansion of 1.0 in k 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.268 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [taylor]: Taking taylor expansion of 0 in k 0.293 * [taylor]: Taking taylor expansion of 0 in k 0.294 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.295 * [taylor]: Taking taylor expansion of 0.5 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 0.295 * [taylor]: Taking taylor expansion of 1.0 in k 0.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.295 * [taylor]: Taking taylor expansion of -2.0 in k 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.295 * [taylor]: Taking taylor expansion of PI in k 0.295 * [taylor]: Taking taylor expansion of n in k 0.296 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.296 * [taylor]: Taking taylor expansion of -2.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.296 * [taylor]: Taking taylor expansion of PI in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.300 * [taylor]: Taking taylor expansion of 0.5 in n 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.300 * [taylor]: Taking taylor expansion of k in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.300 * [taylor]: Taking taylor expansion of -2.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.304 * [taylor]: Taking taylor expansion of 0.5 in k 0.304 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.304 * [taylor]: Taking taylor expansion of 1.0 in k 0.304 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.304 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.304 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.304 * [taylor]: Taking taylor expansion of -2.0 in k 0.304 * [taylor]: Taking taylor expansion of PI in k 0.305 * [taylor]: Taking taylor expansion of (log n) in k 0.305 * [taylor]: Taking taylor expansion of n in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.326 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.336 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.336 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.336 * [taylor]: Taking taylor expansion of 2.0 in n 0.336 * [taylor]: Taking taylor expansion of (* n PI) in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.336 * [taylor]: Taking taylor expansion of 2.0 in n 0.336 * [taylor]: Taking taylor expansion of (* n PI) in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.348 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of 2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of 2.0 in n 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.357 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.357 * [taylor]: Taking taylor expansion of -2.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of -2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.366 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.367 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.367 * [taylor]: Taking taylor expansion of 1.0 in k 0.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.367 * [taylor]: Taking taylor expansion of k in k 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.368 * [taylor]: Taking taylor expansion of k in k 0.380 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.397 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.397 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.397 * [taylor]: Taking taylor expansion of 1.0 in k 0.397 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.397 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.397 * [taylor]: Taking taylor expansion of -1 in k 0.397 * [taylor]: Taking taylor expansion of k in k 0.399 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.399 * [taylor]: Taking taylor expansion of 1.0 in k 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.399 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.399 * [taylor]: Taking taylor expansion of -1 in k 0.399 * [taylor]: Taking taylor expansion of k in k 0.410 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.411 * [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 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.411 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.411 * [taylor]: Taking taylor expansion of k in n 0.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.411 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.411 * [taylor]: Taking taylor expansion of 0.5 in n 0.411 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of k in n 0.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.411 * [taylor]: Taking taylor expansion of 2.0 in n 0.411 * [taylor]: Taking taylor expansion of (* n PI) in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [taylor]: Taking taylor expansion of PI in n 0.417 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.417 * [taylor]: Taking taylor expansion of 1.0 in k 0.417 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.417 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.418 * [taylor]: Taking taylor expansion of 0.5 in k 0.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.418 * [taylor]: Taking taylor expansion of 1.0 in k 0.418 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.418 * [taylor]: Taking taylor expansion of 2.0 in k 0.418 * [taylor]: Taking taylor expansion of (* n PI) in k 0.418 * [taylor]: Taking taylor expansion of n in k 0.418 * [taylor]: Taking taylor expansion of PI in k 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.419 * [taylor]: Taking taylor expansion of 1.0 in k 0.419 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.419 * [taylor]: Taking taylor expansion of k in k 0.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.421 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.421 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.421 * [taylor]: Taking taylor expansion of 0.5 in k 0.421 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.421 * [taylor]: Taking taylor expansion of 1.0 in k 0.421 * [taylor]: Taking taylor expansion of k in k 0.421 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.421 * [taylor]: Taking taylor expansion of 2.0 in k 0.421 * [taylor]: Taking taylor expansion of (* n PI) in k 0.421 * [taylor]: Taking taylor expansion of n in k 0.421 * [taylor]: Taking taylor expansion of PI in k 0.422 * [taylor]: Taking taylor expansion of 0 in n 0.427 * [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 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of +nan.0 in n 0.428 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.428 * [taylor]: Taking taylor expansion of 0.5 in n 0.428 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.428 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.428 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log PI) in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.430 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.430 * [taylor]: Taking taylor expansion of (log n) in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.430 * [taylor]: Taking taylor expansion of 1.0 in n 0.430 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.430 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [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 0.450 * [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 0.450 * [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 0.450 * [taylor]: Taking taylor expansion of +nan.0 in n 0.450 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.450 * [taylor]: Taking taylor expansion of 0.5 in n 0.450 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log PI) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.452 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log n) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.453 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [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 0.458 * [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 0.458 * [taylor]: Taking taylor expansion of +nan.0 in n 0.458 * [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 0.458 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.458 * [taylor]: Taking taylor expansion of 0.5 in n 0.458 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.458 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.458 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.460 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.460 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (log PI) in n 0.460 * [taylor]: Taking taylor expansion of PI in n 0.462 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.462 * [taylor]: Taking taylor expansion of 1.0 in n 0.462 * [taylor]: Taking taylor expansion of (log n) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.466 * [taylor]: Taking taylor expansion of 2.0 in n 0.466 * [taylor]: Taking taylor expansion of (* n PI) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [taylor]: Taking taylor expansion of PI in n 0.521 * [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 0.521 * [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 0.521 * [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 0.521 * [taylor]: Taking taylor expansion of +nan.0 in n 0.521 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.522 * [taylor]: Taking taylor expansion of 0.5 in n 0.522 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.522 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.522 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.522 * [taylor]: Taking taylor expansion of 2.0 in n 0.523 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log PI) in n 0.524 * [taylor]: Taking taylor expansion of PI in n 0.529 * [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 0.530 * [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 0.530 * [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 0.530 * [taylor]: Taking taylor expansion of +nan.0 in n 0.530 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.530 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.530 * [taylor]: Taking taylor expansion of 0.5 in n 0.530 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.530 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.532 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log PI) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.538 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.541 * [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 0.541 * [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 0.541 * [taylor]: Taking taylor expansion of +nan.0 in n 0.541 * [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 0.541 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.541 * [taylor]: Taking taylor expansion of 0.5 in n 0.541 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.541 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.541 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.541 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.543 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log PI) in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.545 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log n) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.549 * [taylor]: Taking taylor expansion of 2.0 in n 0.549 * [taylor]: Taking taylor expansion of (* n PI) in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.628 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.632 * [taylor]: Taking taylor expansion of 1.0 in k 0.632 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.632 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.632 * [taylor]: Taking taylor expansion of k in k 0.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.633 * [taylor]: Taking taylor expansion of 0.5 in k 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.633 * [taylor]: Taking taylor expansion of 1.0 in k 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.634 * [taylor]: Taking taylor expansion of 2.0 in k 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.634 * [taylor]: Taking taylor expansion of PI in k 0.634 * [taylor]: Taking taylor expansion of n in k 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.636 * [taylor]: Taking taylor expansion of 0.5 in k 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.636 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.636 * [taylor]: Taking taylor expansion of 2.0 in k 0.636 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.636 * [taylor]: Taking taylor expansion of PI in k 0.636 * [taylor]: Taking taylor expansion of n in k 0.638 * [taylor]: Taking taylor expansion of 0 in n 0.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.639 * [taylor]: Taking taylor expansion of +nan.0 in n 0.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.639 * [taylor]: Taking taylor expansion of 0.5 in n 0.639 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.639 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.639 * [taylor]: Taking taylor expansion of 2.0 in n 0.639 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.639 * [taylor]: Taking taylor expansion of PI in n 0.639 * [taylor]: Taking taylor expansion of n in n 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.648 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.649 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.649 * [taylor]: Taking taylor expansion of +nan.0 in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.649 * [taylor]: Taking taylor expansion of 0.5 in n 0.649 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.649 * [taylor]: Taking taylor expansion of 2.0 in n 0.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.649 * [taylor]: Taking taylor expansion of PI in n 0.649 * [taylor]: Taking taylor expansion of n in n 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.650 * [taylor]: Taking taylor expansion of 1.0 in n 0.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.650 * [taylor]: Taking taylor expansion of k in n 0.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.671 * [taylor]: Taking taylor expansion of +nan.0 in n 0.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.671 * [taylor]: Taking taylor expansion of 0.5 in n 0.671 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.671 * [taylor]: Taking taylor expansion of 2.0 in n 0.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.672 * [taylor]: Taking taylor expansion of PI in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.673 * [taylor]: Taking taylor expansion of 1.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.673 * [taylor]: Taking taylor expansion of k in n 0.681 * [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 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.682 * [taylor]: Taking taylor expansion of -2.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.686 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.686 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.686 * [taylor]: Taking taylor expansion of -1 in n 0.686 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.687 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.687 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.687 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.687 * [taylor]: Taking taylor expansion of 0.5 in k 0.687 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.687 * [taylor]: Taking taylor expansion of k in k 0.687 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.687 * [taylor]: Taking taylor expansion of -2.0 in k 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.687 * [taylor]: Taking taylor expansion of PI in k 0.687 * [taylor]: Taking taylor expansion of n in k 0.688 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.688 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.688 * [taylor]: Taking taylor expansion of -1 in k 0.688 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.689 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.690 * [taylor]: Taking taylor expansion of -2.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.690 * [taylor]: Taking taylor expansion of PI in k 0.690 * [taylor]: Taking taylor expansion of n in k 0.691 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.691 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.691 * [taylor]: Taking taylor expansion of -1 in k 0.691 * [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 0.692 * [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 0.729 * * * [progress]: simplifying candidates 0.732 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.834 * * * [progress]: adding candidates to table 1.291 * * [progress]: iteration 2 / 4 1.291 * * * [progress]: picking best candidate 1.313 * * * * [pick]: Picked # 1.313 * * * [progress]: localizing error 1.329 * * * [progress]: generating rewritten candidates 1.329 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.335 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.339 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.354 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.366 * * * [progress]: generating series expansions 1.366 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.367 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.367 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.367 * [taylor]: Taking taylor expansion of 0.5 in k 1.367 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.367 * [taylor]: Taking taylor expansion of 1.0 in k 1.367 * [taylor]: Taking taylor expansion of k in k 1.367 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.367 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.367 * [taylor]: Taking taylor expansion of 2.0 in k 1.367 * [taylor]: Taking taylor expansion of PI in k 1.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.372 * [taylor]: Taking taylor expansion of 0.5 in k 1.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.372 * [taylor]: Taking taylor expansion of 1.0 in k 1.372 * [taylor]: Taking taylor expansion of k in k 1.372 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.372 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.372 * [taylor]: Taking taylor expansion of 2.0 in k 1.372 * [taylor]: Taking taylor expansion of PI in k 1.420 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.420 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.420 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.420 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.420 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.420 * [taylor]: Taking taylor expansion of 0.5 in k 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.420 * [taylor]: Taking taylor expansion of 1.0 in k 1.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.420 * [taylor]: Taking taylor expansion of k in k 1.420 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.420 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.420 * [taylor]: Taking taylor expansion of 2.0 in k 1.420 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.424 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.424 * [taylor]: Taking taylor expansion of 0.5 in k 1.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.424 * [taylor]: Taking taylor expansion of 1.0 in k 1.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.424 * [taylor]: Taking taylor expansion of k in k 1.424 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.424 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.424 * [taylor]: Taking taylor expansion of 2.0 in k 1.424 * [taylor]: Taking taylor expansion of PI in k 1.429 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.430 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.430 * [taylor]: Taking taylor expansion of 0.5 in k 1.430 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.430 * [taylor]: Taking taylor expansion of k in k 1.430 * [taylor]: Taking taylor expansion of 1.0 in k 1.430 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.430 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.430 * [taylor]: Taking taylor expansion of 2.0 in k 1.430 * [taylor]: Taking taylor expansion of PI in k 1.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.433 * [taylor]: Taking taylor expansion of 0.5 in k 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.433 * [taylor]: Taking taylor expansion of k in k 1.433 * [taylor]: Taking taylor expansion of 1.0 in k 1.433 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.433 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.434 * [taylor]: Taking taylor expansion of 2.0 in k 1.434 * [taylor]: Taking taylor expansion of PI in k 1.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.444 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.444 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.444 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.444 * [taylor]: Taking taylor expansion of 0.5 in k 1.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.444 * [taylor]: Taking taylor expansion of 1.0 in k 1.444 * [taylor]: Taking taylor expansion of k in k 1.444 * [taylor]: Taking taylor expansion of (log n) in k 1.444 * [taylor]: Taking taylor expansion of n in k 1.445 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.445 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.445 * [taylor]: Taking taylor expansion of 0.5 in n 1.445 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.445 * [taylor]: Taking taylor expansion of 1.0 in n 1.445 * [taylor]: Taking taylor expansion of k in n 1.445 * [taylor]: Taking taylor expansion of (log n) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.446 * [taylor]: Taking taylor expansion of 0.5 in n 1.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.446 * [taylor]: Taking taylor expansion of 1.0 in n 1.446 * [taylor]: Taking taylor expansion of k in n 1.446 * [taylor]: Taking taylor expansion of (log n) in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.447 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.447 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.447 * [taylor]: Taking taylor expansion of 0.5 in k 1.447 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.447 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.447 * [taylor]: Taking taylor expansion of 1.0 in k 1.447 * [taylor]: Taking taylor expansion of k in k 1.447 * [taylor]: Taking taylor expansion of (log n) in k 1.447 * [taylor]: Taking taylor expansion of n in k 1.450 * [taylor]: Taking taylor expansion of 0 in k 1.455 * [taylor]: Taking taylor expansion of 0 in k 1.459 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.459 * [taylor]: Taking taylor expansion of 0.5 in k 1.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.459 * [taylor]: Taking taylor expansion of 1.0 in k 1.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.459 * [taylor]: Taking taylor expansion of k in k 1.460 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.460 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.460 * [taylor]: Taking taylor expansion of n in k 1.461 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.461 * [taylor]: Taking taylor expansion of 0.5 in n 1.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.461 * [taylor]: Taking taylor expansion of 1.0 in n 1.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.461 * [taylor]: Taking taylor expansion of k in n 1.461 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.461 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.461 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.462 * [taylor]: Taking taylor expansion of 0.5 in n 1.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.462 * [taylor]: Taking taylor expansion of 1.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.462 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.462 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.463 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.463 * [taylor]: Taking taylor expansion of -0.5 in k 1.463 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.463 * [taylor]: Taking taylor expansion of (log n) in k 1.463 * [taylor]: Taking taylor expansion of n in k 1.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.463 * [taylor]: Taking taylor expansion of 1.0 in k 1.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.464 * [taylor]: Taking taylor expansion of k in k 1.467 * [taylor]: Taking taylor expansion of 0 in k 1.471 * [taylor]: Taking taylor expansion of 0 in k 1.478 * [taylor]: Taking taylor expansion of 0 in k 1.478 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.478 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.478 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.478 * [taylor]: Taking taylor expansion of 0.5 in k 1.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.478 * [taylor]: Taking taylor expansion of k in k 1.478 * [taylor]: Taking taylor expansion of 1.0 in k 1.478 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.478 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.478 * [taylor]: Taking taylor expansion of -1 in k 1.478 * [taylor]: Taking taylor expansion of n in k 1.479 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.479 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.479 * [taylor]: Taking taylor expansion of 0.5 in n 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.479 * [taylor]: Taking taylor expansion of k in n 1.479 * [taylor]: Taking taylor expansion of 1.0 in n 1.479 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.479 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.479 * [taylor]: Taking taylor expansion of -1 in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.481 * [taylor]: Taking taylor expansion of 0.5 in n 1.481 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.481 * [taylor]: Taking taylor expansion of k in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.481 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.481 * [taylor]: Taking taylor expansion of -1 in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.483 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.483 * [taylor]: Taking taylor expansion of 0.5 in k 1.483 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.483 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.483 * [taylor]: Taking taylor expansion of (log -1) in k 1.483 * [taylor]: Taking taylor expansion of -1 in k 1.484 * [taylor]: Taking taylor expansion of (log n) in k 1.484 * [taylor]: Taking taylor expansion of n in k 1.484 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.484 * [taylor]: Taking taylor expansion of k in k 1.484 * [taylor]: Taking taylor expansion of 1.0 in k 1.490 * [taylor]: Taking taylor expansion of 0 in k 1.494 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [taylor]: Taking taylor expansion of 0 in k 1.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.502 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.502 * [taylor]: Taking taylor expansion of 1.0 in k 1.502 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 1.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.502 * [taylor]: Taking taylor expansion of k in k 1.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.504 * [taylor]: Taking taylor expansion of 0.5 in k 1.504 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.504 * [taylor]: Taking taylor expansion of 1.0 in k 1.504 * [taylor]: Taking taylor expansion of k in k 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.504 * [taylor]: Taking taylor expansion of 2.0 in k 1.504 * [taylor]: Taking taylor expansion of PI in k 1.508 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 1.508 * [taylor]: Taking taylor expansion of 1.0 in k 1.508 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) 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 1.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.509 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.509 * [taylor]: Taking taylor expansion of 0.5 in k 1.509 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.509 * [taylor]: Taking taylor expansion of 1.0 in k 1.509 * [taylor]: Taking taylor expansion of k 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 1.725 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.726 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.726 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.726 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.727 * [taylor]: Taking taylor expansion of 0.5 in k 1.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.727 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.727 * [taylor]: Taking taylor expansion of 2.0 in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.731 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.731 * [taylor]: Taking taylor expansion of 1.0 in k 1.731 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.731 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.732 * [taylor]: Taking taylor expansion of 0.5 in k 1.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.732 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.732 * [taylor]: Taking taylor expansion of 2.0 in k 1.732 * [taylor]: Taking taylor expansion of PI in k 1.754 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.754 * [taylor]: Taking taylor expansion of 1.0 in k 1.754 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.755 * [taylor]: Taking taylor expansion of 0.5 in k 1.755 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.755 * [taylor]: Taking taylor expansion of k in k 1.755 * [taylor]: Taking taylor expansion of 1.0 in k 1.755 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.755 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.755 * [taylor]: Taking taylor expansion of 2.0 in k 1.755 * [taylor]: Taking taylor expansion of PI in k 1.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.758 * [taylor]: Taking taylor expansion of -1 in k 1.758 * [taylor]: Taking taylor expansion of k in k 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.760 * [taylor]: Taking taylor expansion of 0.5 in k 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.760 * [taylor]: Taking taylor expansion of k in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.761 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.761 * [taylor]: Taking taylor expansion of 2.0 in k 1.761 * [taylor]: Taking taylor expansion of PI in k 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.764 * [taylor]: Taking taylor expansion of -1 in k 1.764 * [taylor]: Taking taylor expansion of k in k 1.789 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.790 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.790 * [taylor]: Taking taylor expansion of 1.0 in k 1.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.790 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.790 * [taylor]: Taking taylor expansion of k in k 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.791 * [taylor]: Taking taylor expansion of 1.0 in k 1.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.791 * [taylor]: Taking taylor expansion of k in k 1.803 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.803 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.803 * [taylor]: Taking taylor expansion of 1.0 in k 1.803 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.803 * [taylor]: Taking taylor expansion of k in k 1.804 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.804 * [taylor]: Taking taylor expansion of 1.0 in k 1.804 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.804 * [taylor]: Taking taylor expansion of k in k 1.814 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.814 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.814 * [taylor]: Taking taylor expansion of 1.0 in k 1.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.814 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.814 * [taylor]: Taking taylor expansion of -1 in k 1.814 * [taylor]: Taking taylor expansion of k in k 1.816 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.816 * [taylor]: Taking taylor expansion of 1.0 in k 1.816 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.816 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.816 * [taylor]: Taking taylor expansion of -1 in k 1.816 * [taylor]: Taking taylor expansion of k in k 1.828 * * * [progress]: simplifying candidates 1.830 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 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+nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.840 * * [simplify]: iteration 0 : 844 enodes (cost 1367 ) 1.853 * * [simplify]: iteration 1 : 3255 enodes (cost 1284 ) 1.900 * * [simplify]: iteration 2 : 5001 enodes (cost 1267 ) 1.907 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 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1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 1.908 * * * [progress]: adding candidates to table 2.449 * * [progress]: iteration 3 / 4 2.449 * * * [progress]: picking best candidate 2.470 * * * * [pick]: Picked # 2.471 * * * [progress]: localizing error 2.489 * * * [progress]: generating rewritten candidates 2.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 2.493 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.497 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.536 * * * [progress]: generating series expansions 2.536 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 2.537 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.537 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.537 * [taylor]: Taking taylor expansion of 0.5 in k 2.537 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.537 * [taylor]: Taking taylor expansion of 1.0 in k 2.537 * [taylor]: Taking taylor expansion of k in k 2.537 * [taylor]: Taking taylor expansion of (log PI) in k 2.537 * [taylor]: Taking taylor expansion of PI in k 2.540 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.540 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.540 * [taylor]: Taking taylor expansion of 0.5 in k 2.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.540 * [taylor]: Taking taylor expansion of 1.0 in k 2.540 * [taylor]: Taking taylor expansion of k in k 2.540 * [taylor]: Taking taylor expansion of (log PI) in k 2.540 * [taylor]: Taking taylor expansion of PI in k 2.573 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.573 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.573 * [taylor]: Taking taylor expansion of 0.5 in k 2.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.573 * [taylor]: Taking taylor expansion of 1.0 in k 2.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.573 * [taylor]: Taking taylor expansion of k in k 2.574 * [taylor]: Taking taylor expansion of (log PI) in k 2.574 * [taylor]: Taking taylor expansion of PI in k 2.575 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.576 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.576 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.576 * [taylor]: Taking taylor expansion of 0.5 in k 2.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.576 * [taylor]: Taking taylor expansion of 1.0 in k 2.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of (log PI) in k 2.576 * [taylor]: Taking taylor expansion of PI in k 2.579 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.579 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.579 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.579 * [taylor]: Taking taylor expansion of 0.5 in k 2.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.579 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.579 * [taylor]: Taking taylor expansion of k in k 2.579 * [taylor]: Taking taylor expansion of 1.0 in k 2.579 * [taylor]: Taking taylor expansion of (log PI) in k 2.579 * [taylor]: Taking taylor expansion of PI in k 2.581 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.581 * [taylor]: Taking taylor expansion of 0.5 in k 2.581 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.581 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of 1.0 in k 2.581 * [taylor]: Taking taylor expansion of (log PI) in k 2.581 * [taylor]: Taking taylor expansion of PI in k 2.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.584 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.584 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.584 * [taylor]: Taking taylor expansion of 0.5 in k 2.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.584 * [taylor]: Taking taylor expansion of 1.0 in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.584 * [taylor]: Taking taylor expansion of (log n) in k 2.584 * [taylor]: Taking taylor expansion of n in k 2.585 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.585 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.585 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.585 * [taylor]: Taking taylor expansion of 0.5 in n 2.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.585 * [taylor]: Taking taylor expansion of 1.0 in n 2.585 * [taylor]: Taking taylor expansion of k in n 2.585 * [taylor]: Taking taylor expansion of (log n) in n 2.585 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.586 * [taylor]: Taking taylor expansion of 0.5 in n 2.586 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of k in n 2.586 * [taylor]: Taking taylor expansion of (log n) in n 2.586 * [taylor]: Taking taylor expansion of n in n 2.587 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.587 * [taylor]: Taking taylor expansion of 0.5 in k 2.587 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.587 * [taylor]: Taking taylor expansion of 1.0 in k 2.587 * [taylor]: Taking taylor expansion of k in k 2.587 * [taylor]: Taking taylor expansion of (log n) in k 2.587 * [taylor]: Taking taylor expansion of n in k 2.595 * [taylor]: Taking taylor expansion of 0 in k 2.601 * [taylor]: Taking taylor expansion of 0 in k 2.605 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.605 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.605 * [taylor]: Taking taylor expansion of 0.5 in k 2.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.605 * [taylor]: Taking taylor expansion of 1.0 in k 2.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.605 * [taylor]: Taking taylor expansion of k in k 2.606 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.606 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.606 * [taylor]: Taking taylor expansion of n in k 2.607 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.607 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.607 * [taylor]: Taking taylor expansion of 0.5 in n 2.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.607 * [taylor]: Taking taylor expansion of 1.0 in n 2.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.607 * [taylor]: Taking taylor expansion of k in n 2.607 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.607 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.607 * [taylor]: Taking taylor expansion of n in n 2.608 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.608 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.608 * [taylor]: Taking taylor expansion of 0.5 in n 2.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.608 * [taylor]: Taking taylor expansion of k in n 2.608 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.608 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.608 * [taylor]: Taking taylor expansion of n in n 2.609 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.609 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.609 * [taylor]: Taking taylor expansion of -0.5 in k 2.609 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.609 * [taylor]: Taking taylor expansion of (log n) in k 2.609 * [taylor]: Taking taylor expansion of n in k 2.609 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.610 * [taylor]: Taking taylor expansion of 1.0 in k 2.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.610 * [taylor]: Taking taylor expansion of k in k 2.613 * [taylor]: Taking taylor expansion of 0 in k 2.618 * [taylor]: Taking taylor expansion of 0 in k 2.624 * [taylor]: Taking taylor expansion of 0 in k 2.624 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.624 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.624 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.624 * [taylor]: Taking taylor expansion of 0.5 in k 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.624 * [taylor]: Taking taylor expansion of k in k 2.625 * [taylor]: Taking taylor expansion of 1.0 in k 2.625 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.625 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.625 * [taylor]: Taking taylor expansion of -1 in k 2.625 * [taylor]: Taking taylor expansion of n in k 2.626 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.626 * [taylor]: Taking taylor expansion of 0.5 in n 2.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.626 * [taylor]: Taking taylor expansion of k in n 2.626 * [taylor]: Taking taylor expansion of 1.0 in n 2.626 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.626 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.626 * [taylor]: Taking taylor expansion of -1 in n 2.626 * [taylor]: Taking taylor expansion of n in n 2.628 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.628 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.628 * [taylor]: Taking taylor expansion of 0.5 in n 2.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.628 * [taylor]: Taking taylor expansion of k in n 2.628 * [taylor]: Taking taylor expansion of 1.0 in n 2.628 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.628 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.628 * [taylor]: Taking taylor expansion of -1 in n 2.628 * [taylor]: Taking taylor expansion of n in n 2.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.630 * [taylor]: Taking taylor expansion of 0.5 in k 2.630 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.630 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.630 * [taylor]: Taking taylor expansion of (log -1) in k 2.630 * [taylor]: Taking taylor expansion of -1 in k 2.630 * [taylor]: Taking taylor expansion of (log n) in k 2.630 * [taylor]: Taking taylor expansion of n in k 2.630 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.630 * [taylor]: Taking taylor expansion of 1.0 in k 2.636 * [taylor]: Taking taylor expansion of 0 in k 2.640 * [taylor]: Taking taylor expansion of 0 in k 2.647 * [taylor]: Taking taylor expansion of 0 in k 2.648 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.648 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k) around 0 2.648 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.648 * [taylor]: Taking taylor expansion of 1.0 in k 2.648 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.648 * [taylor]: Taking taylor expansion of k in k 2.649 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.649 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.650 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.650 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.650 * [taylor]: Taking taylor expansion of 0.5 in k 2.650 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.650 * [taylor]: Taking taylor expansion of 1.0 in k 2.650 * [taylor]: Taking taylor expansion of k in k 2.650 * [taylor]: Taking taylor expansion of (log PI) in k 2.650 * [taylor]: Taking taylor expansion of PI in k 2.652 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.653 * [taylor]: Taking taylor expansion of 0.5 in k 2.653 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.653 * [taylor]: Taking taylor expansion of 1.0 in k 2.653 * [taylor]: Taking taylor expansion of k in k 2.653 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.653 * [taylor]: Taking taylor expansion of 2.0 in k 2.655 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 2.655 * [taylor]: Taking taylor expansion of 1.0 in k 2.655 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.655 * [taylor]: Taking taylor expansion of k in k 2.656 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.656 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.656 * [taylor]: Taking taylor expansion of 0.5 in k 2.656 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.657 * [taylor]: Taking taylor expansion of 1.0 in k 2.657 * [taylor]: Taking taylor expansion of k in k 2.657 * [taylor]: Taking taylor expansion of (log PI) in k 2.657 * [taylor]: Taking taylor expansion of PI in k 2.659 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.659 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.659 * [taylor]: Taking taylor expansion of 0.5 in k 2.659 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.659 * [taylor]: Taking taylor expansion of 1.0 in k 2.659 * [taylor]: Taking taylor expansion of k in k 2.659 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.659 * [taylor]: Taking taylor expansion of 2.0 in k 3.134 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in (k) around 0 3.134 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.134 * [taylor]: Taking taylor expansion of 1.0 in k 3.134 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.134 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.134 * [taylor]: Taking taylor expansion of k in k 3.135 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.136 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.136 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.136 * [taylor]: Taking taylor expansion of 0.5 in k 3.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.136 * [taylor]: Taking taylor expansion of k in k 3.136 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.136 * [taylor]: Taking taylor expansion of 2.0 in k 3.138 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.138 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.138 * [taylor]: Taking taylor expansion of 0.5 in k 3.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.138 * [taylor]: Taking taylor expansion of 1.0 in k 3.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.138 * [taylor]: Taking taylor expansion of k in k 3.138 * [taylor]: Taking taylor expansion of (log PI) in k 3.138 * [taylor]: Taking taylor expansion of PI in k 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.140 * [taylor]: Taking taylor expansion of 1.0 in k 3.140 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.140 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.140 * [taylor]: Taking taylor expansion of k in k 3.141 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 3.141 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 3.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 3.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 3.141 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.141 * [taylor]: Taking taylor expansion of 0.5 in k 3.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.141 * [taylor]: Taking taylor expansion of k in k 3.142 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.142 * [taylor]: Taking taylor expansion of 2.0 in k 3.150 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.150 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.150 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.150 * [taylor]: Taking taylor expansion of 0.5 in k 3.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.150 * [taylor]: Taking taylor expansion of 1.0 in k 3.150 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.150 * [taylor]: Taking taylor expansion of k in k 3.150 * [taylor]: Taking taylor expansion of (log PI) in k 3.150 * [taylor]: Taking taylor expansion of PI in k 3.174 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k) around 0 3.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.174 * [taylor]: Taking taylor expansion of 1.0 in k 3.174 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.174 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.174 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.174 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.174 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.174 * [taylor]: Taking taylor expansion of 0.5 in k 3.174 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.174 * [taylor]: Taking taylor expansion of k in k 3.175 * [taylor]: Taking taylor expansion of 1.0 in k 3.175 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.175 * [taylor]: Taking taylor expansion of 2.0 in k 3.176 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.177 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.177 * [taylor]: Taking taylor expansion of 0.5 in k 3.177 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.177 * [taylor]: Taking taylor expansion of k in k 3.177 * [taylor]: Taking taylor expansion of 1.0 in k 3.177 * [taylor]: Taking taylor expansion of (log PI) in k 3.177 * [taylor]: Taking taylor expansion of PI in k 3.179 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.179 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.179 * [taylor]: Taking taylor expansion of -1 in k 3.179 * [taylor]: Taking taylor expansion of k in k 3.181 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.182 * [taylor]: Taking taylor expansion of 1.0 in k 3.182 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.182 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.182 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 3.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 3.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 3.182 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.182 * [taylor]: Taking taylor expansion of 0.5 in k 3.182 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.182 * [taylor]: Taking taylor expansion of 1.0 in k 3.182 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.182 * [taylor]: Taking taylor expansion of 2.0 in k 3.184 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.184 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.184 * [taylor]: Taking taylor expansion of 0.5 in k 3.184 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in k 3.184 * [taylor]: Taking taylor expansion of (log PI) in k 3.184 * [taylor]: Taking taylor expansion of PI in k 3.186 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.186 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.186 * [taylor]: Taking taylor expansion of -1 in k 3.186 * [taylor]: Taking taylor expansion of k in k 3.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.207 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.207 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.207 * [taylor]: Taking taylor expansion of 1.0 in k 3.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.207 * [taylor]: Taking taylor expansion of k in k 3.209 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.209 * [taylor]: Taking taylor expansion of 1.0 in k 3.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.209 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.209 * [taylor]: Taking taylor expansion of k in k 3.220 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.220 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.220 * [taylor]: Taking taylor expansion of 1.0 in k 3.220 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.220 * [taylor]: Taking taylor expansion of k in k 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.221 * [taylor]: Taking taylor expansion of 1.0 in k 3.221 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.221 * [taylor]: Taking taylor expansion of k in k 3.231 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.231 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.231 * [taylor]: Taking taylor expansion of 1.0 in k 3.231 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.231 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.231 * [taylor]: Taking taylor expansion of -1 in k 3.231 * [taylor]: Taking taylor expansion of k in k 3.238 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.238 * [taylor]: Taking taylor expansion of 1.0 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 3.250 * * * [progress]: simplifying candidates 3.253 * [simplify]: Simplifying using # : (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 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(- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (sqrt k) (pow PI (/ k 2.0))) (* 1.0 (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (fma (* 0.125 (* (pow k 2) (pow (log PI) 2))) (pow (pow PI 1.0) 0.5) (- (pow PI 0.5) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (fma (- (* +nan.0 (* (pow k 2) (* (log 2.0) (log PI))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (log PI)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma +nan.0 (* (* k (log PI)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (log 2.0)))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (fma (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) +nan.0 (fma (- (* +nan.0 k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) k) (fma +nan.0 (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 3)))) (fma (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) (fma +nan.0 (/ (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI))))) k) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (pow k 2)))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 3.352 * * * [progress]: adding candidates to table 3.947 * * [progress]: iteration 4 / 4 3.947 * * * [progress]: picking best candidate 3.966 * * * * [pick]: Picked # 3.966 * * * [progress]: localizing error 3.987 * * * [progress]: generating rewritten candidates 3.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 4.000 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.103 * * * [progress]: generating series expansions 4.103 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.103 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 4.103 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.104 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.104 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.104 * [taylor]: Taking taylor expansion of 0.5 in k 4.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.104 * [taylor]: Taking taylor expansion of 1.0 in k 4.104 * [taylor]: Taking taylor expansion of k in k 4.104 * [taylor]: Taking taylor expansion of (log n) in k 4.104 * [taylor]: Taking taylor expansion of n in k 4.105 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.105 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.105 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.105 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.105 * [taylor]: Taking taylor expansion of 0.5 in n 4.105 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.105 * [taylor]: Taking taylor expansion of 1.0 in n 4.105 * [taylor]: Taking taylor expansion of k in n 4.105 * [taylor]: Taking taylor expansion of (log n) in n 4.105 * [taylor]: Taking taylor expansion of n in n 4.106 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.106 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.106 * [taylor]: Taking taylor expansion of 0.5 in n 4.106 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [taylor]: Taking taylor expansion of k in n 4.106 * [taylor]: Taking taylor expansion of (log n) in n 4.106 * [taylor]: Taking taylor expansion of n in n 4.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 4.107 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 4.107 * [taylor]: Taking taylor expansion of 0.5 in k 4.107 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 4.107 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.107 * [taylor]: Taking taylor expansion of 1.0 in k 4.107 * [taylor]: Taking taylor expansion of k in k 4.107 * [taylor]: Taking taylor expansion of (log n) in k 4.107 * [taylor]: Taking taylor expansion of n in k 4.110 * [taylor]: Taking taylor expansion of 0 in k 4.115 * [taylor]: Taking taylor expansion of 0 in k 4.119 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.119 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.119 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.119 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.119 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.119 * [taylor]: Taking taylor expansion of 0.5 in k 4.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.119 * [taylor]: Taking taylor expansion of 1.0 in k 4.119 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.119 * [taylor]: Taking taylor expansion of k in k 4.119 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.119 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.119 * [taylor]: Taking taylor expansion of n in k 4.120 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.121 * [taylor]: Taking taylor expansion of 0.5 in n 4.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.121 * [taylor]: Taking taylor expansion of 1.0 in n 4.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.121 * [taylor]: Taking taylor expansion of k in n 4.121 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.121 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.121 * [taylor]: Taking taylor expansion of n in n 4.122 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.122 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.122 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.122 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.122 * [taylor]: Taking taylor expansion of 0.5 in n 4.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.122 * [taylor]: Taking taylor expansion of 1.0 in n 4.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.122 * [taylor]: Taking taylor expansion of k in n 4.122 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.122 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.122 * [taylor]: Taking taylor expansion of n in n 4.123 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 4.123 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 4.123 * [taylor]: Taking taylor expansion of -0.5 in k 4.123 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 4.123 * [taylor]: Taking taylor expansion of (log n) in k 4.123 * [taylor]: Taking taylor expansion of n in k 4.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.123 * [taylor]: Taking taylor expansion of 1.0 in k 4.123 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.123 * [taylor]: Taking taylor expansion of k in k 4.127 * [taylor]: Taking taylor expansion of 0 in k 4.131 * [taylor]: Taking taylor expansion of 0 in k 4.137 * [taylor]: Taking taylor expansion of 0 in k 4.138 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.138 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.138 * [taylor]: Taking taylor expansion of 0.5 in k 4.138 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.138 * [taylor]: Taking taylor expansion of k in k 4.138 * [taylor]: Taking taylor expansion of 1.0 in k 4.138 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.138 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.138 * [taylor]: Taking taylor expansion of -1 in k 4.138 * [taylor]: Taking taylor expansion of n in k 4.139 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.139 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.139 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.139 * [taylor]: Taking taylor expansion of 0.5 in n 4.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.139 * [taylor]: Taking taylor expansion of k in n 4.139 * [taylor]: Taking taylor expansion of 1.0 in n 4.139 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.139 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.139 * [taylor]: Taking taylor expansion of -1 in n 4.139 * [taylor]: Taking taylor expansion of n in n 4.141 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.141 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.141 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.141 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.141 * [taylor]: Taking taylor expansion of 0.5 in n 4.141 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.141 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.141 * [taylor]: Taking taylor expansion of k in n 4.141 * [taylor]: Taking taylor expansion of 1.0 in n 4.141 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.141 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.141 * [taylor]: Taking taylor expansion of -1 in n 4.141 * [taylor]: Taking taylor expansion of n in n 4.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 4.150 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 4.150 * [taylor]: Taking taylor expansion of 0.5 in k 4.150 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 4.150 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 4.150 * [taylor]: Taking taylor expansion of (log -1) in k 4.150 * [taylor]: Taking taylor expansion of -1 in k 4.150 * [taylor]: Taking taylor expansion of (log n) in k 4.150 * [taylor]: Taking taylor expansion of n in k 4.150 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.151 * [taylor]: Taking taylor expansion of k in k 4.151 * [taylor]: Taking taylor expansion of 1.0 in k 4.156 * [taylor]: Taking taylor expansion of 0 in k 4.161 * [taylor]: Taking taylor expansion of 0 in k 4.168 * [taylor]: Taking taylor expansion of 0 in k 4.168 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 4.169 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 4.169 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.169 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.169 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.169 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.169 * [taylor]: Taking taylor expansion of 1/4 in k 4.169 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.169 * [taylor]: Taking taylor expansion of k in k 4.170 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.170 * [taylor]: Taking taylor expansion of 1.0 in k 4.170 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.170 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.170 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.170 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.170 * [taylor]: Taking taylor expansion of 1/4 in k 4.170 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.170 * [taylor]: Taking taylor expansion of k in k 4.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.171 * [taylor]: Taking taylor expansion of 1.0 in k 4.236 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 4.236 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.236 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.236 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.236 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.236 * [taylor]: Taking taylor expansion of 1/4 in k 4.236 * [taylor]: Taking taylor expansion of (log k) in k 4.236 * [taylor]: Taking taylor expansion of k in k 4.237 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.237 * [taylor]: Taking taylor expansion of 1.0 in k 4.238 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.238 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.238 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.238 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.238 * [taylor]: Taking taylor expansion of 1/4 in k 4.238 * [taylor]: Taking taylor expansion of (log k) in k 4.238 * [taylor]: Taking taylor expansion of k in k 4.238 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.238 * [taylor]: Taking taylor expansion of 1.0 in k 4.294 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 4.294 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.294 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.294 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.294 * [taylor]: Taking taylor expansion of -1 in k 4.294 * [taylor]: Taking taylor expansion of k in k 4.307 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.307 * [taylor]: Taking taylor expansion of 1.0 in k 4.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.308 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.308 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.308 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.308 * [taylor]: Taking taylor expansion of -1 in k 4.308 * [taylor]: Taking taylor expansion of k in k 4.314 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.314 * [taylor]: Taking taylor expansion of 1.0 in k 4.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.352 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 4.352 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.352 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.352 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.352 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.352 * [taylor]: Taking taylor expansion of 1/4 in k 4.352 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.352 * [taylor]: Taking taylor expansion of k in k 4.353 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.353 * [taylor]: Taking taylor expansion of 1.0 in k 4.354 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 4.354 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.354 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.354 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.354 * [taylor]: Taking taylor expansion of 1/4 in k 4.354 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.354 * [taylor]: Taking taylor expansion of k in k 4.355 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.355 * [taylor]: Taking taylor expansion of 1.0 in k 4.420 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 4.420 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.420 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.420 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.420 * [taylor]: Taking taylor expansion of 1/4 in k 4.420 * [taylor]: Taking taylor expansion of (log k) in k 4.420 * [taylor]: Taking taylor expansion of k in k 4.421 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.421 * [taylor]: Taking taylor expansion of 1.0 in k 4.421 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 4.421 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.421 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.421 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.421 * [taylor]: Taking taylor expansion of 1/4 in k 4.421 * [taylor]: Taking taylor expansion of (log k) in k 4.421 * [taylor]: Taking taylor expansion of k in k 4.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.422 * [taylor]: Taking taylor expansion of 1.0 in k 4.483 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 4.483 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.483 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.483 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.483 * [taylor]: Taking taylor expansion of -1 in k 4.483 * [taylor]: Taking taylor expansion of k in k 4.490 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.490 * [taylor]: Taking taylor expansion of 1.0 in k 4.490 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 4.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.490 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.490 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.490 * [taylor]: Taking taylor expansion of -1 in k 4.490 * [taylor]: Taking taylor expansion of k in k 4.497 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.497 * [taylor]: Taking taylor expansion of 1.0 in k 4.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.536 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in (k) around 0 4.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 4.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.536 * [taylor]: Taking taylor expansion of k in k 4.543 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 4.543 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.543 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.543 * [taylor]: Taking taylor expansion of 1.0 in k 4.544 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 4.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 4.544 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.544 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 4.544 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 4.544 * [taylor]: Taking taylor expansion of 0.25 in k 4.544 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.544 * [taylor]: Taking taylor expansion of 1.0 in k 4.544 * [taylor]: Taking taylor expansion of k in k 4.544 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.544 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.544 * [taylor]: Taking taylor expansion of 2.0 in k 4.544 * [taylor]: Taking taylor expansion of PI in k 4.549 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2))) in k 4.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.549 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.549 * [taylor]: Taking taylor expansion of k in k 4.550 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2)) in k 4.550 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.550 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.550 * [taylor]: Taking taylor expansion of 1.0 in k 4.551 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) 2) in k 4.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 k))) in k 4.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.551 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 PI))) in k 4.551 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 4.551 * [taylor]: Taking taylor expansion of 0.25 in k 4.551 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.551 * [taylor]: Taking taylor expansion of 1.0 in k 4.551 * [taylor]: Taking taylor expansion of k in k 4.551 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.551 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.551 * [taylor]: Taking taylor expansion of 2.0 in k 4.551 * [taylor]: Taking taylor expansion of PI in k 5.047 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in (k) around 0 5.047 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 5.047 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.047 * [taylor]: Taking taylor expansion of k in k 5.048 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 5.048 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.048 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.048 * [taylor]: Taking taylor expansion of 1.0 in k 5.049 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 5.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.049 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.049 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.049 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.049 * [taylor]: Taking taylor expansion of 0.25 in k 5.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.049 * [taylor]: Taking taylor expansion of 1.0 in k 5.049 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.049 * [taylor]: Taking taylor expansion of k in k 5.049 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.049 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.049 * [taylor]: Taking taylor expansion of 2.0 in k 5.049 * [taylor]: Taking taylor expansion of PI in k 5.053 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2))) in k 5.053 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.053 * [taylor]: Taking taylor expansion of k in k 5.054 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2)) in k 5.054 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.054 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.054 * [taylor]: Taking taylor expansion of 1.0 in k 5.055 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 5.055 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.055 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.055 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.055 * [taylor]: Taking taylor expansion of 0.25 in k 5.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.055 * [taylor]: Taking taylor expansion of 1.0 in k 5.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.055 * [taylor]: Taking taylor expansion of k in k 5.055 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.055 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.055 * [taylor]: Taking taylor expansion of 2.0 in k 5.055 * [taylor]: Taking taylor expansion of PI in k 5.102 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in (k) around 0 5.102 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 5.102 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 5.102 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.102 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.102 * [taylor]: Taking taylor expansion of 1.0 in k 5.103 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 5.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.103 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.103 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.103 * [taylor]: Taking taylor expansion of 0.25 in k 5.103 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.103 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.103 * [taylor]: Taking taylor expansion of k in k 5.103 * [taylor]: Taking taylor expansion of 1.0 in k 5.103 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.103 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.103 * [taylor]: Taking taylor expansion of 2.0 in k 5.103 * [taylor]: Taking taylor expansion of PI in k 5.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.106 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.106 * [taylor]: Taking taylor expansion of -1 in k 5.106 * [taylor]: Taking taylor expansion of k in k 5.112 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) (sqrt (/ -1 k))) in k 5.113 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2)) in k 5.113 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.113 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.113 * [taylor]: Taking taylor expansion of 1.0 in k 5.113 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 5.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.113 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.113 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.113 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.113 * [taylor]: Taking taylor expansion of 0.25 in k 5.113 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.113 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.113 * [taylor]: Taking taylor expansion of k in k 5.114 * [taylor]: Taking taylor expansion of 1.0 in k 5.114 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.114 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.114 * [taylor]: Taking taylor expansion of 2.0 in k 5.114 * [taylor]: Taking taylor expansion of PI in k 5.117 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.117 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.117 * [taylor]: Taking taylor expansion of -1 in k 5.117 * [taylor]: Taking taylor expansion of k in k 5.150 * * * [progress]: simplifying candidates 5.156 * [simplify]: Simplifying using # : (expm1 (pow n (/ (- 1.0 k) 2.0))) (log1p (pow n (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ (sqrt 1.0) (sqrt (sqrt k)))) (log1p (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (exp (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) 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(sqrt (sqrt k)) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2)))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 1.0)) (* (sqrt k) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (sqrt 1.0) (* (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2)))) (/ (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ 1.0 2.0) 2)))) (sqrt (sqrt k))) (pow (* 2.0 PI) (* 2 (/ (/ k 2.0) 2))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 1.0)) (* (sqrt k) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (sqrt 1.0) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (sqrt k)) (pow (* 2.0 PI) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (* 2 (/ (/ (- 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(fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (pow n 1.0) 0.5) (- (pow n 0.5) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (fma (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) 1.0))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (fma +nan.0 (* 1.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) (fma (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) 1.0))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (fma +nan.0 (* (pow k 2) (* 1.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (fma (- +nan.0) (* k (* 1.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (* (* +nan.0 (* (* k (log (* 2.0 PI))) 1.0)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))))))) (fma (- +nan.0) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ k 1.0)) (* +nan.0 (- (/ 1.0 (/ (pow k 3) (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2))) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ (pow k 2) 1.0))))) (fma (- +nan.0) (/ (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2) (/ (pow k 2) 1.0)) (- (/ (* (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 1.0) k) (* (* +nan.0 (pow (exp (* 0.25 (* (- 1.0 k) (log (* 2.0 PI))))) 2)) 1.0))) 5.270 * * * [progress]: adding candidates to table 6.043 * [progress]: [Phase 3 of 3] Extracting. 6.043 * * [regime]: Finding splitpoints for: (# # # # # # # #) 6.046 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.046 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 6.089 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 6.113 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 6.149 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 6.189 * * * [regime]: Found split indices: #