11.657 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.091 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.096 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.097 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.099 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.101 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.107 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.130 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.130 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.131 * * [progress]: iteration 1 / 4 0.131 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.168 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.188 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.196 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.244 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.244 * [taylor]: Taking taylor expansion of 0.5 in k 0.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.244 * [taylor]: Taking taylor expansion of 1.0 in k 0.244 * [taylor]: Taking taylor expansion of k in k 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.244 * [taylor]: Taking taylor expansion of 2.0 in k 0.244 * [taylor]: Taking taylor expansion of (* n PI) in k 0.244 * [taylor]: Taking taylor expansion of n in k 0.244 * [taylor]: Taking taylor expansion of PI in k 0.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.245 * [taylor]: Taking taylor expansion of 0.5 in n 0.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.245 * [taylor]: Taking taylor expansion of 1.0 in n 0.245 * [taylor]: Taking taylor expansion of k in n 0.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.245 * [taylor]: Taking taylor expansion of 2.0 in n 0.245 * [taylor]: Taking taylor expansion of (* n PI) in n 0.245 * [taylor]: Taking taylor expansion of n in n 0.245 * [taylor]: Taking taylor expansion of PI in n 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.250 * [taylor]: Taking taylor expansion of 0.5 in n 0.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.250 * [taylor]: Taking taylor expansion of 1.0 in n 0.250 * [taylor]: Taking taylor expansion of k in n 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.250 * [taylor]: Taking taylor expansion of 2.0 in n 0.250 * [taylor]: Taking taylor expansion of (* n PI) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [taylor]: Taking taylor expansion of PI in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.255 * [taylor]: Taking taylor expansion of 0.5 in k 0.255 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.255 * [taylor]: Taking taylor expansion of 1.0 in k 0.255 * [taylor]: Taking taylor expansion of k in k 0.255 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (log n) in k 0.256 * [taylor]: Taking taylor expansion of n in k 0.264 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [taylor]: Taking taylor expansion of 0 in k 0.296 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.296 * [taylor]: Taking taylor expansion of 2.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.296 * [taylor]: Taking taylor expansion of n in k 0.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.297 * [taylor]: Taking taylor expansion of 0.5 in n 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.297 * [taylor]: Taking taylor expansion of k in n 0.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.297 * [taylor]: Taking taylor expansion of 2.0 in n 0.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.297 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of n in n 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.301 * [taylor]: Taking taylor expansion of 0.5 in n 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.301 * [taylor]: Taking taylor expansion of 1.0 in n 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.301 * [taylor]: Taking taylor expansion of k in n 0.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.301 * [taylor]: Taking taylor expansion of 2.0 in n 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.301 * [taylor]: Taking taylor expansion of PI in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.304 * [taylor]: Taking taylor expansion of 0.5 in k 0.304 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) 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 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.315 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [taylor]: Taking taylor expansion of 0 in k 0.333 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.334 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.334 * [taylor]: Taking taylor expansion of 0.5 in k 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.335 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of 1.0 in k 0.335 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.335 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.335 * [taylor]: Taking taylor expansion of -2.0 in k 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.335 * [taylor]: Taking taylor expansion of n in k 0.336 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.336 * [taylor]: Taking taylor expansion of 0.5 in n 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.336 * [taylor]: Taking taylor expansion of k in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.336 * [taylor]: Taking taylor expansion of -2.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.339 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.339 * [taylor]: Taking taylor expansion of 0.5 in n 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.339 * [taylor]: Taking taylor expansion of k in n 0.340 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of -2.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.343 * [taylor]: Taking taylor expansion of 0.5 in k 0.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.343 * [taylor]: Taking taylor expansion of k in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.344 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.344 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.344 * [taylor]: Taking taylor expansion of -2.0 in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.345 * [taylor]: Taking taylor expansion of (log n) in k 0.345 * [taylor]: Taking taylor expansion of n in k 0.353 * [taylor]: Taking taylor expansion of 0 in k 0.359 * [taylor]: Taking taylor expansion of 0 in k 0.367 * [taylor]: Taking taylor expansion of 0 in k 0.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.368 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.368 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.368 * [taylor]: Taking taylor expansion of 2.0 in n 0.368 * [taylor]: Taking taylor expansion of (* n PI) in n 0.368 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.379 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.379 * [taylor]: Taking taylor expansion of 2.0 in n 0.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.379 * [taylor]: Taking taylor expansion of PI in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.388 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.388 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.388 * [taylor]: Taking taylor expansion of -2.0 in n 0.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.388 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.388 * [taylor]: Taking taylor expansion of -2.0 in n 0.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.396 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.396 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.398 * [taylor]: Taking taylor expansion of 1.0 in k 0.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.398 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.398 * [taylor]: Taking taylor expansion of k in k 0.411 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.411 * [taylor]: Taking taylor expansion of 1.0 in k 0.411 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.411 * [taylor]: Taking taylor expansion of k in k 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.412 * [taylor]: Taking taylor expansion of 1.0 in k 0.412 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.412 * [taylor]: Taking taylor expansion of k in k 0.421 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.421 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.421 * [taylor]: Taking taylor expansion of 1.0 in k 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.421 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.421 * [taylor]: Taking taylor expansion of -1 in k 0.421 * [taylor]: Taking taylor expansion of k in k 0.423 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.423 * [taylor]: Taking taylor expansion of 1.0 in k 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.423 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.423 * [taylor]: Taking taylor expansion of -1 in k 0.423 * [taylor]: Taking taylor expansion of k in k 0.434 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.434 * [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 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.434 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.434 * [taylor]: Taking taylor expansion of k in n 0.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.434 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.435 * [taylor]: Taking taylor expansion of 0.5 in n 0.435 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of k in n 0.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.435 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.435 * [taylor]: Taking taylor expansion of 2.0 in n 0.435 * [taylor]: Taking taylor expansion of (* n PI) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.439 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.441 * [taylor]: Taking taylor expansion of 0.5 in k 0.441 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.441 * [taylor]: Taking taylor expansion of 2.0 in k 0.441 * [taylor]: Taking taylor expansion of (* n PI) in k 0.441 * [taylor]: Taking taylor expansion of n in k 0.441 * [taylor]: Taking taylor expansion of PI in k 0.442 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.443 * [taylor]: Taking taylor expansion of 0.5 in k 0.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.443 * [taylor]: Taking taylor expansion of 1.0 in k 0.443 * [taylor]: Taking taylor expansion of k in k 0.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.443 * [taylor]: Taking taylor expansion of 2.0 in k 0.443 * [taylor]: Taking taylor expansion of (* n PI) in k 0.443 * [taylor]: Taking taylor expansion of n in k 0.443 * [taylor]: Taking taylor expansion of PI in k 0.445 * [taylor]: Taking taylor expansion of 0 in n 0.449 * [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 0.449 * [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 0.449 * [taylor]: Taking taylor expansion of +nan.0 in n 0.449 * [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 0.451 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log n) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.470 * [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 0.470 * [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 0.470 * [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 0.470 * [taylor]: Taking taylor expansion of +nan.0 in n 0.470 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.470 * [taylor]: Taking taylor expansion of 0.5 in n 0.470 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.470 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.470 * [taylor]: Taking taylor expansion of 1.0 in n 0.470 * [taylor]: Taking taylor expansion of (log PI) in n 0.470 * [taylor]: Taking taylor expansion of PI in n 0.472 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.472 * [taylor]: Taking taylor expansion of 1.0 in n 0.472 * [taylor]: Taking taylor expansion of (log n) in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.473 * [taylor]: Taking taylor expansion of 2.0 in n 0.477 * [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 0.478 * [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 0.478 * [taylor]: Taking taylor expansion of +nan.0 in n 0.478 * [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 0.478 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.478 * [taylor]: Taking taylor expansion of 0.5 in n 0.478 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.478 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.478 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log PI) in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log n) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.485 * [taylor]: Taking taylor expansion of 2.0 in n 0.485 * [taylor]: Taking taylor expansion of (* n PI) in n 0.485 * [taylor]: Taking taylor expansion of n in n 0.485 * [taylor]: Taking taylor expansion of PI in n 0.536 * [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 0.536 * [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 0.536 * [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 0.536 * [taylor]: Taking taylor expansion of +nan.0 in n 0.536 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log n) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.539 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log PI) in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.544 * [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 0.544 * [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 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of +nan.0 in n 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.544 * [taylor]: Taking taylor expansion of 0.5 in n 0.544 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.544 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.544 * [taylor]: Taking taylor expansion of 2.0 in n 0.546 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.546 * [taylor]: Taking taylor expansion of 1.0 in n 0.546 * [taylor]: Taking taylor expansion of (log PI) in n 0.546 * [taylor]: Taking taylor expansion of PI in n 0.547 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.547 * [taylor]: Taking taylor expansion of 1.0 in n 0.547 * [taylor]: Taking taylor expansion of (log n) in n 0.548 * [taylor]: Taking taylor expansion of n in n 0.551 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.551 * [taylor]: Taking taylor expansion of 2.0 in n 0.551 * [taylor]: Taking taylor expansion of (* n PI) in n 0.551 * [taylor]: Taking taylor expansion of n in n 0.551 * [taylor]: Taking taylor expansion of PI in n 0.554 * [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 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of +nan.0 in n 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.554 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.555 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log PI) in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of (log n) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.562 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.562 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* n PI) in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.636 * [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 0.636 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.636 * [taylor]: Taking taylor expansion of 1.0 in n 0.636 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.636 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.636 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.636 * [taylor]: Taking taylor expansion of 0.5 in n 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.636 * [taylor]: Taking taylor expansion of 1.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.636 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.636 * [taylor]: Taking taylor expansion of 2.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.636 * [taylor]: Taking taylor expansion of PI in n 0.636 * [taylor]: Taking taylor expansion of n in n 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.640 * [taylor]: Taking taylor expansion of 1.0 in k 0.640 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.640 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.640 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.641 * [taylor]: Taking taylor expansion of 0.5 in k 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.641 * [taylor]: Taking taylor expansion of 1.0 in k 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.641 * [taylor]: Taking taylor expansion of 2.0 in k 0.641 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.641 * [taylor]: Taking taylor expansion of PI in k 0.641 * [taylor]: Taking taylor expansion of n in k 0.642 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.642 * [taylor]: Taking taylor expansion of 1.0 in k 0.642 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.642 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.642 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.643 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.643 * [taylor]: Taking taylor expansion of 0.5 in k 0.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.643 * [taylor]: Taking taylor expansion of 1.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.644 * [taylor]: Taking taylor expansion of 2.0 in k 0.644 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.644 * [taylor]: Taking taylor expansion of PI in k 0.644 * [taylor]: Taking taylor expansion of n in k 0.645 * [taylor]: Taking taylor expansion of 0 in n 0.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.646 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.646 * [taylor]: Taking taylor expansion of +nan.0 in n 0.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.646 * [taylor]: Taking taylor expansion of 0.5 in n 0.646 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.647 * [taylor]: Taking taylor expansion of k in n 0.655 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.655 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.655 * [taylor]: Taking taylor expansion of +nan.0 in n 0.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.655 * [taylor]: Taking taylor expansion of 0.5 in n 0.655 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.655 * [taylor]: Taking taylor expansion of 2.0 in n 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.655 * [taylor]: Taking taylor expansion of PI in n 0.655 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.675 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.675 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.675 * [taylor]: Taking taylor expansion of +nan.0 in n 0.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.675 * [taylor]: Taking taylor expansion of 0.5 in n 0.675 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.675 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.675 * [taylor]: Taking taylor expansion of 2.0 in n 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.684 * [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 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of -2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.688 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.688 * [taylor]: Taking taylor expansion of -1 in n 0.688 * [taylor]: Taking taylor expansion of k in n 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 0.689 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.689 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.689 * [taylor]: Taking taylor expansion of 0.5 in k 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.689 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of 1.0 in k 0.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.689 * [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 0.690 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.690 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.690 * [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 (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.692 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.692 * [taylor]: Taking taylor expansion of 0.5 in k 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.692 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.692 * [taylor]: Taking taylor expansion of -2.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.692 * [taylor]: Taking taylor expansion of PI in k 0.692 * [taylor]: Taking taylor expansion of n in k 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.693 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.693 * [taylor]: Taking taylor expansion of -1 in k 0.693 * [taylor]: Taking taylor expansion of k in k 0.695 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.695 * [taylor]: Taking taylor expansion of +nan.0 in n 0.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.695 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.695 * [taylor]: Taking taylor expansion of 0.5 in n 0.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.695 * [taylor]: Taking taylor expansion of k in n 0.695 * [taylor]: Taking taylor expansion of 1.0 in n 0.695 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.695 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of -2.0 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.703 * [taylor]: Taking taylor expansion of +nan.0 in n 0.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.703 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.703 * [taylor]: Taking taylor expansion of 1.0 in n 0.703 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of -2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [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 0.728 * * * [progress]: simplifying candidates 0.731 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.827 * * * [progress]: adding candidates to table 1.220 * * [progress]: iteration 2 / 4 1.221 * * * [progress]: picking best candidate 1.250 * * * * [pick]: Picked # 1.250 * * * [progress]: localizing error 1.264 * * * [progress]: generating rewritten candidates 1.264 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.285 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 1.305 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.330 * * * [progress]: generating series expansions 1.330 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.330 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.330 * [taylor]: Taking taylor expansion of 0.5 in k 1.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.331 * [taylor]: Taking taylor expansion of 1.0 in k 1.331 * [taylor]: Taking taylor expansion of k in k 1.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.331 * [taylor]: Taking taylor expansion of 2.0 in k 1.331 * [taylor]: Taking taylor expansion of (* n PI) in k 1.331 * [taylor]: Taking taylor expansion of n in k 1.331 * [taylor]: Taking taylor expansion of PI in k 1.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.332 * [taylor]: Taking taylor expansion of 0.5 in n 1.332 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of k in n 1.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.332 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.332 * [taylor]: Taking taylor expansion of 2.0 in n 1.332 * [taylor]: Taking taylor expansion of (* n PI) in n 1.332 * [taylor]: Taking taylor expansion of n in n 1.332 * [taylor]: Taking taylor expansion of PI in n 1.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.337 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.337 * [taylor]: Taking taylor expansion of 0.5 in n 1.337 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.337 * [taylor]: Taking taylor expansion of 1.0 in n 1.337 * [taylor]: Taking taylor expansion of k in n 1.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.337 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.337 * [taylor]: Taking taylor expansion of 2.0 in n 1.337 * [taylor]: Taking taylor expansion of (* n PI) in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.337 * [taylor]: Taking taylor expansion of PI in n 1.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.342 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.342 * [taylor]: Taking taylor expansion of 0.5 in k 1.342 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.342 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.342 * [taylor]: Taking taylor expansion of 1.0 in k 1.342 * [taylor]: Taking taylor expansion of k in k 1.342 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.342 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.342 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.342 * [taylor]: Taking taylor expansion of 2.0 in k 1.342 * [taylor]: Taking taylor expansion of PI in k 1.343 * [taylor]: Taking taylor expansion of (log n) in k 1.343 * [taylor]: Taking taylor expansion of n in k 1.351 * [taylor]: Taking taylor expansion of 0 in k 1.366 * [taylor]: Taking taylor expansion of 0 in k 1.387 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.387 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.387 * [taylor]: Taking taylor expansion of 0.5 in k 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.387 * [taylor]: Taking taylor expansion of 1.0 in k 1.387 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.387 * [taylor]: Taking taylor expansion of k in k 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.388 * [taylor]: Taking taylor expansion of 2.0 in k 1.388 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.388 * [taylor]: Taking taylor expansion of n in k 1.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.389 * [taylor]: Taking taylor expansion of 0.5 in n 1.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.389 * [taylor]: Taking taylor expansion of 1.0 in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.389 * [taylor]: Taking taylor expansion of k in n 1.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.389 * [taylor]: Taking taylor expansion of 2.0 in n 1.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.389 * [taylor]: Taking taylor expansion of PI in n 1.389 * [taylor]: Taking taylor expansion of n in n 1.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.392 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.392 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.392 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.392 * [taylor]: Taking taylor expansion of 0.5 in n 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.392 * [taylor]: Taking taylor expansion of 1.0 in n 1.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.392 * [taylor]: Taking taylor expansion of k in n 1.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.392 * [taylor]: Taking taylor expansion of 2.0 in n 1.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.393 * [taylor]: Taking taylor expansion of PI in n 1.393 * [taylor]: Taking taylor expansion of n in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.396 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.396 * [taylor]: Taking taylor expansion of 0.5 in k 1.396 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.396 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.396 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.396 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.396 * [taylor]: Taking taylor expansion of 2.0 in k 1.396 * [taylor]: Taking taylor expansion of PI in k 1.397 * [taylor]: Taking taylor expansion of (log n) in k 1.397 * [taylor]: Taking taylor expansion of n in k 1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.397 * [taylor]: Taking taylor expansion of 1.0 in k 1.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.397 * [taylor]: Taking taylor expansion of k in k 1.406 * [taylor]: Taking taylor expansion of 0 in k 1.412 * [taylor]: Taking taylor expansion of 0 in k 1.421 * [taylor]: Taking taylor expansion of 0 in k 1.422 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.422 * [taylor]: Taking taylor expansion of 0.5 in k 1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of 1.0 in k 1.423 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.423 * [taylor]: Taking taylor expansion of -2.0 in k 1.423 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.423 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of n in k 1.424 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.424 * [taylor]: Taking taylor expansion of 0.5 in n 1.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.424 * [taylor]: Taking taylor expansion of k in n 1.424 * [taylor]: Taking taylor expansion of 1.0 in n 1.424 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.424 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.424 * [taylor]: Taking taylor expansion of -2.0 in n 1.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.424 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.427 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.427 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.427 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.427 * [taylor]: Taking taylor expansion of 0.5 in n 1.427 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.427 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.427 * [taylor]: Taking taylor expansion of k in n 1.427 * [taylor]: Taking taylor expansion of 1.0 in n 1.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.427 * [taylor]: Taking taylor expansion of -2.0 in n 1.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.431 * [taylor]: Taking taylor expansion of 0.5 in k 1.431 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.431 * [taylor]: Taking taylor expansion of k in k 1.431 * [taylor]: Taking taylor expansion of 1.0 in k 1.431 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.431 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.431 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.431 * [taylor]: Taking taylor expansion of -2.0 in k 1.431 * [taylor]: Taking taylor expansion of PI in k 1.432 * [taylor]: Taking taylor expansion of (log n) in k 1.432 * [taylor]: Taking taylor expansion of n in k 1.441 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [taylor]: Taking taylor expansion of 0 in k 1.456 * [taylor]: Taking taylor expansion of 0 in k 1.457 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 1.457 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.457 * [taylor]: Taking taylor expansion of 2.0 in n 1.457 * [taylor]: Taking taylor expansion of (* n PI) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.457 * [taylor]: Taking taylor expansion of PI in n 1.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.457 * [taylor]: Taking taylor expansion of 2.0 in n 1.457 * [taylor]: Taking taylor expansion of (* n PI) in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.457 * [taylor]: Taking taylor expansion of PI in n 1.472 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.481 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.481 * [taylor]: Taking taylor expansion of -2.0 in n 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.482 * [taylor]: Taking taylor expansion of -2.0 in n 1.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.482 * [taylor]: Taking taylor expansion of n in n 1.490 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.491 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 1.491 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 1.491 * [taylor]: Taking taylor expansion of 1.0 in k 1.491 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.491 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.491 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.491 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.491 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.491 * [taylor]: Taking taylor expansion of 0.5 in k 1.491 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.491 * [taylor]: Taking taylor expansion of 1.0 in k 1.491 * [taylor]: Taking taylor expansion of k in k 1.491 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.491 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.491 * [taylor]: Taking taylor expansion of 2.0 in k 1.491 * [taylor]: Taking taylor expansion of (* n PI) in k 1.491 * [taylor]: Taking taylor expansion of n in k 1.491 * [taylor]: Taking taylor expansion of PI in k 1.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.492 * [taylor]: Taking taylor expansion of k in k 1.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.493 * [taylor]: Taking taylor expansion of 1.0 in n 1.493 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.493 * [taylor]: Taking taylor expansion of 0.5 in n 1.493 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.493 * [taylor]: Taking taylor expansion of 1.0 in n 1.493 * [taylor]: Taking taylor expansion of k in n 1.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.493 * [taylor]: Taking taylor expansion of 2.0 in n 1.493 * [taylor]: Taking taylor expansion of (* n PI) in n 1.493 * [taylor]: Taking taylor expansion of n in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.498 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.498 * [taylor]: Taking taylor expansion of k in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.499 * [taylor]: Taking taylor expansion of 0.5 in n 1.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.499 * [taylor]: Taking taylor expansion of 1.0 in n 1.499 * [taylor]: Taking taylor expansion of k in n 1.499 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.499 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.499 * [taylor]: Taking taylor expansion of 2.0 in n 1.499 * [taylor]: Taking taylor expansion of (* n PI) in n 1.499 * [taylor]: Taking taylor expansion of n in n 1.499 * [taylor]: Taking taylor expansion of PI in n 1.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.503 * [taylor]: Taking taylor expansion of k in n 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 1.505 * [taylor]: Taking taylor expansion of 1.0 in k 1.505 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.505 * [taylor]: Taking taylor expansion of k in k 1.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.506 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.506 * [taylor]: Taking taylor expansion of 0.5 in k 1.507 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.507 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.507 * [taylor]: Taking taylor expansion of 1.0 in k 1.507 * [taylor]: Taking taylor expansion of k in k 1.507 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.507 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.507 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.507 * [taylor]: Taking taylor expansion of 2.0 in k 1.507 * [taylor]: Taking taylor expansion of PI in k 1.508 * [taylor]: Taking taylor expansion of (log n) in k 1.508 * [taylor]: Taking taylor expansion of n in k 1.518 * [taylor]: Taking taylor expansion of 0 in k 1.537 * [taylor]: Taking taylor expansion of 0 in k 1.575 * [taylor]: Taking taylor expansion of 0 in k 1.629 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.629 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.630 * [taylor]: Taking taylor expansion of 0.5 in k 1.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.630 * [taylor]: Taking taylor expansion of 1.0 in k 1.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.630 * [taylor]: Taking taylor expansion of k in k 1.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.631 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.631 * [taylor]: Taking taylor expansion of 2.0 in k 1.631 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.631 * [taylor]: Taking taylor expansion of PI in k 1.631 * [taylor]: Taking taylor expansion of n in k 1.636 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.637 * [taylor]: Taking taylor expansion of 1.0 in n 1.637 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.637 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.637 * [taylor]: Taking taylor expansion of k in n 1.637 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.637 * [taylor]: Taking taylor expansion of 0.5 in n 1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.637 * [taylor]: Taking taylor expansion of 1.0 in n 1.637 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.637 * [taylor]: Taking taylor expansion of k in n 1.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.637 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.641 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.641 * [taylor]: Taking taylor expansion of 0.5 in n 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.646 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.646 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.646 * [taylor]: Taking taylor expansion of k in k 1.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.647 * [taylor]: Taking taylor expansion of 0.5 in k 1.647 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.647 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.647 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.647 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.647 * [taylor]: Taking taylor expansion of 2.0 in k 1.647 * [taylor]: Taking taylor expansion of PI in k 1.648 * [taylor]: Taking taylor expansion of (log n) in k 1.648 * [taylor]: Taking taylor expansion of n in k 1.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.648 * [taylor]: Taking taylor expansion of k in k 1.658 * [taylor]: Taking taylor expansion of 0 in k 1.670 * [taylor]: Taking taylor expansion of 0 in k 1.686 * [taylor]: Taking taylor expansion of 0 in k 1.696 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.696 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.696 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.696 * [taylor]: Taking taylor expansion of 0.5 in k 1.696 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.697 * [taylor]: Taking taylor expansion of -2.0 in k 1.697 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.697 * [taylor]: Taking taylor expansion of PI in k 1.697 * [taylor]: Taking taylor expansion of n in k 1.698 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.698 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.698 * [taylor]: Taking taylor expansion of -1 in k 1.698 * [taylor]: Taking taylor expansion of k in k 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.699 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.699 * [taylor]: Taking taylor expansion of 0.5 in n 1.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.699 * [taylor]: Taking taylor expansion of k in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.699 * [taylor]: Taking taylor expansion of -2.0 in n 1.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.700 * [taylor]: Taking taylor expansion of PI in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.703 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.703 * [taylor]: Taking taylor expansion of -1 in n 1.703 * [taylor]: Taking taylor expansion of k in n 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.704 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.704 * [taylor]: Taking taylor expansion of 0.5 in n 1.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.704 * [taylor]: Taking taylor expansion of k in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.704 * [taylor]: Taking taylor expansion of -2.0 in n 1.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.704 * [taylor]: Taking taylor expansion of PI in n 1.704 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.708 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.708 * [taylor]: Taking taylor expansion of -1 in n 1.708 * [taylor]: Taking taylor expansion of k in n 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.710 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.710 * [taylor]: Taking taylor expansion of 0.5 in k 1.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.710 * [taylor]: Taking taylor expansion of k in k 1.711 * [taylor]: Taking taylor expansion of 1.0 in k 1.711 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.711 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.711 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.711 * [taylor]: Taking taylor expansion of -2.0 in k 1.711 * [taylor]: Taking taylor expansion of PI in k 1.712 * [taylor]: Taking taylor expansion of (log n) in k 1.712 * [taylor]: Taking taylor expansion of n in k 1.714 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.714 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.714 * [taylor]: Taking taylor expansion of -1 in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.743 * [taylor]: Taking taylor expansion of 0 in k 1.753 * * * [progress]: simplifying candidates 1.754 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 1.763 * * [simplify]: iteration 0 : 709 enodes (cost 938 ) 1.775 * * [simplify]: iteration 1 : 2966 enodes (cost 838 ) 1.826 * * [simplify]: iteration 2 : 5002 enodes (cost 830 ) 1.831 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (- (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow k 2)) +nan.0) (* (* (* (pow k 2) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (+ (- (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k) +nan.0) (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0)) (+ (- (* (* +nan.0 k) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) +nan.0)) (- (- (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) +nan.0) (* (* (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (pow k 2)) +nan.0)) (* (pow (* (* 2.0 PI) n) 0.5) (- +nan.0)))))) (* (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 1.831 * * * [progress]: adding candidates to table 2.057 * * [progress]: iteration 3 / 4 2.057 * * * [progress]: picking best candidate 2.081 * * * * [pick]: Picked # 2.081 * * * [progress]: localizing error 2.097 * * * [progress]: generating rewritten candidates 2.097 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.120 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 2.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 2 1) 2.181 * * * [progress]: generating series expansions 2.181 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.181 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.182 * [taylor]: Taking taylor expansion of 0.5 in k 2.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.182 * [taylor]: Taking taylor expansion of 1.0 in k 2.182 * [taylor]: Taking taylor expansion of k in k 2.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.182 * [taylor]: Taking taylor expansion of 2.0 in k 2.182 * [taylor]: Taking taylor expansion of (* n PI) in k 2.182 * [taylor]: Taking taylor expansion of n in k 2.182 * [taylor]: Taking taylor expansion of PI in k 2.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.183 * [taylor]: Taking taylor expansion of 0.5 in n 2.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.183 * [taylor]: Taking taylor expansion of 1.0 in n 2.183 * [taylor]: Taking taylor expansion of k in n 2.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.183 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.183 * [taylor]: Taking taylor expansion of 2.0 in n 2.183 * [taylor]: Taking taylor expansion of (* n PI) in n 2.183 * [taylor]: Taking taylor expansion of n in n 2.183 * [taylor]: Taking taylor expansion of PI in n 2.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.188 * [taylor]: Taking taylor expansion of 0.5 in n 2.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.188 * [taylor]: Taking taylor expansion of 1.0 in n 2.188 * [taylor]: Taking taylor expansion of k in n 2.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.188 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.188 * [taylor]: Taking taylor expansion of 2.0 in n 2.188 * [taylor]: Taking taylor expansion of (* n PI) in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.188 * [taylor]: Taking taylor expansion of PI in n 2.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.193 * [taylor]: Taking taylor expansion of 0.5 in k 2.193 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.193 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.193 * [taylor]: Taking taylor expansion of 1.0 in k 2.193 * [taylor]: Taking taylor expansion of k in k 2.193 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.193 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.194 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.194 * [taylor]: Taking taylor expansion of 2.0 in k 2.194 * [taylor]: Taking taylor expansion of PI in k 2.195 * [taylor]: Taking taylor expansion of (log n) in k 2.195 * [taylor]: Taking taylor expansion of n in k 2.203 * [taylor]: Taking taylor expansion of 0 in k 2.217 * [taylor]: Taking taylor expansion of 0 in k 2.234 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.235 * [taylor]: Taking taylor expansion of 0.5 in k 2.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.235 * [taylor]: Taking taylor expansion of 1.0 in k 2.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.235 * [taylor]: Taking taylor expansion of k in k 2.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.235 * [taylor]: Taking taylor expansion of 2.0 in k 2.235 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.235 * [taylor]: Taking taylor expansion of PI in k 2.235 * [taylor]: Taking taylor expansion of n in k 2.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.236 * [taylor]: Taking taylor expansion of 0.5 in n 2.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.236 * [taylor]: Taking taylor expansion of 1.0 in n 2.236 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.236 * [taylor]: Taking taylor expansion of k in n 2.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.236 * [taylor]: Taking taylor expansion of 2.0 in n 2.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.236 * [taylor]: Taking taylor expansion of PI in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.243 * [taylor]: Taking taylor expansion of 0.5 in n 2.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.243 * [taylor]: Taking taylor expansion of 1.0 in n 2.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.243 * [taylor]: Taking taylor expansion of k in n 2.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.243 * [taylor]: Taking taylor expansion of 2.0 in n 2.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.243 * [taylor]: Taking taylor expansion of PI in n 2.243 * [taylor]: Taking taylor expansion of n in n 2.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.247 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.247 * [taylor]: Taking taylor expansion of 0.5 in k 2.247 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.247 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.247 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.247 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.247 * [taylor]: Taking taylor expansion of 2.0 in k 2.247 * [taylor]: Taking taylor expansion of PI in k 2.248 * [taylor]: Taking taylor expansion of (log n) in k 2.248 * [taylor]: Taking taylor expansion of n in k 2.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.248 * [taylor]: Taking taylor expansion of 1.0 in k 2.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.248 * [taylor]: Taking taylor expansion of k in k 2.256 * [taylor]: Taking taylor expansion of 0 in k 2.263 * [taylor]: Taking taylor expansion of 0 in k 2.271 * [taylor]: Taking taylor expansion of 0 in k 2.272 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.272 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.272 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.272 * [taylor]: Taking taylor expansion of 0.5 in k 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.272 * [taylor]: Taking taylor expansion of k in k 2.272 * [taylor]: Taking taylor expansion of 1.0 in k 2.272 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.273 * [taylor]: Taking taylor expansion of -2.0 in k 2.273 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.273 * [taylor]: Taking taylor expansion of PI in k 2.273 * [taylor]: Taking taylor expansion of n in k 2.273 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.273 * [taylor]: Taking taylor expansion of 0.5 in n 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.273 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.273 * [taylor]: Taking taylor expansion of k in n 2.274 * [taylor]: Taking taylor expansion of 1.0 in n 2.274 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.274 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.274 * [taylor]: Taking taylor expansion of -2.0 in n 2.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.274 * [taylor]: Taking taylor expansion of PI in n 2.274 * [taylor]: Taking taylor expansion of n in n 2.277 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.277 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.277 * [taylor]: Taking taylor expansion of 0.5 in n 2.277 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.277 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.277 * [taylor]: Taking taylor expansion of k in n 2.277 * [taylor]: Taking taylor expansion of 1.0 in n 2.277 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.277 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.277 * [taylor]: Taking taylor expansion of -2.0 in n 2.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.277 * [taylor]: Taking taylor expansion of PI in n 2.277 * [taylor]: Taking taylor expansion of n in n 2.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.280 * [taylor]: Taking taylor expansion of 0.5 in k 2.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.281 * [taylor]: Taking taylor expansion of k in k 2.281 * [taylor]: Taking taylor expansion of 1.0 in k 2.281 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.281 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.281 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.281 * [taylor]: Taking taylor expansion of -2.0 in k 2.281 * [taylor]: Taking taylor expansion of PI in k 2.282 * [taylor]: Taking taylor expansion of (log n) in k 2.282 * [taylor]: Taking taylor expansion of n in k 2.290 * [taylor]: Taking taylor expansion of 0 in k 2.296 * [taylor]: Taking taylor expansion of 0 in k 2.304 * [taylor]: Taking taylor expansion of 0 in k 2.305 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 2.306 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.306 * [taylor]: Taking taylor expansion of 0.5 in k 2.306 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.306 * [taylor]: Taking taylor expansion of 1.0 in k 2.306 * [taylor]: Taking taylor expansion of k in k 2.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.306 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.306 * [taylor]: Taking taylor expansion of 2.0 in k 2.306 * [taylor]: Taking taylor expansion of (* n PI) in k 2.306 * [taylor]: Taking taylor expansion of n in k 2.306 * [taylor]: Taking taylor expansion of PI in k 2.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.307 * [taylor]: Taking taylor expansion of 0.5 in n 2.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.307 * [taylor]: Taking taylor expansion of 1.0 in n 2.307 * [taylor]: Taking taylor expansion of k in n 2.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.307 * [taylor]: Taking taylor expansion of 2.0 in n 2.307 * [taylor]: Taking taylor expansion of (* n PI) in n 2.307 * [taylor]: Taking taylor expansion of n in n 2.307 * [taylor]: Taking taylor expansion of PI in n 2.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.312 * [taylor]: Taking taylor expansion of 0.5 in n 2.312 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.312 * [taylor]: Taking taylor expansion of 1.0 in n 2.312 * [taylor]: Taking taylor expansion of k in n 2.312 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.312 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.312 * [taylor]: Taking taylor expansion of 2.0 in n 2.312 * [taylor]: Taking taylor expansion of (* n PI) in n 2.312 * [taylor]: Taking taylor expansion of n in n 2.312 * [taylor]: Taking taylor expansion of PI in n 2.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.317 * [taylor]: Taking taylor expansion of 0.5 in k 2.317 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.317 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.317 * [taylor]: Taking taylor expansion of 1.0 in k 2.317 * [taylor]: Taking taylor expansion of k in k 2.317 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.317 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.317 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.317 * [taylor]: Taking taylor expansion of 2.0 in k 2.317 * [taylor]: Taking taylor expansion of PI in k 2.318 * [taylor]: Taking taylor expansion of (log n) in k 2.318 * [taylor]: Taking taylor expansion of n in k 2.329 * [taylor]: Taking taylor expansion of 0 in k 2.343 * [taylor]: Taking taylor expansion of 0 in k 2.361 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.361 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.361 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.361 * [taylor]: Taking taylor expansion of 0.5 in k 2.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.361 * [taylor]: Taking taylor expansion of 1.0 in k 2.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.361 * [taylor]: Taking taylor expansion of k in k 2.361 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.361 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.361 * [taylor]: Taking taylor expansion of 2.0 in k 2.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.361 * [taylor]: Taking taylor expansion of PI in k 2.361 * [taylor]: Taking taylor expansion of n in k 2.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.363 * [taylor]: Taking taylor expansion of 0.5 in n 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.363 * [taylor]: Taking taylor expansion of 1.0 in n 2.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.363 * [taylor]: Taking taylor expansion of k in n 2.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.363 * [taylor]: Taking taylor expansion of 2.0 in n 2.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.363 * [taylor]: Taking taylor expansion of PI in n 2.363 * [taylor]: Taking taylor expansion of n in n 2.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.367 * [taylor]: Taking taylor expansion of 0.5 in n 2.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.367 * [taylor]: Taking taylor expansion of 1.0 in n 2.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.367 * [taylor]: Taking taylor expansion of k in n 2.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.367 * [taylor]: Taking taylor expansion of 2.0 in n 2.367 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.367 * [taylor]: Taking taylor expansion of PI in n 2.367 * [taylor]: Taking taylor expansion of n in n 2.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.370 * [taylor]: Taking taylor expansion of 0.5 in k 2.370 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.370 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.370 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.370 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.370 * [taylor]: Taking taylor expansion of 2.0 in k 2.370 * [taylor]: Taking taylor expansion of PI in k 2.371 * [taylor]: Taking taylor expansion of (log n) in k 2.371 * [taylor]: Taking taylor expansion of n in k 2.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.371 * [taylor]: Taking taylor expansion of 1.0 in k 2.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.371 * [taylor]: Taking taylor expansion of k in k 2.380 * [taylor]: Taking taylor expansion of 0 in k 2.386 * [taylor]: Taking taylor expansion of 0 in k 2.394 * [taylor]: Taking taylor expansion of 0 in k 2.396 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.396 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.396 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.396 * [taylor]: Taking taylor expansion of 0.5 in k 2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.396 * [taylor]: Taking taylor expansion of k in k 2.396 * [taylor]: Taking taylor expansion of 1.0 in k 2.396 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.396 * [taylor]: Taking taylor expansion of -2.0 in k 2.396 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.396 * [taylor]: Taking taylor expansion of PI in k 2.396 * [taylor]: Taking taylor expansion of n in k 2.397 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.397 * [taylor]: Taking taylor expansion of k in n 2.397 * [taylor]: Taking taylor expansion of 1.0 in n 2.397 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.397 * [taylor]: Taking taylor expansion of -2.0 in n 2.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.397 * [taylor]: Taking taylor expansion of PI in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.401 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.401 * [taylor]: Taking taylor expansion of 0.5 in n 2.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.401 * [taylor]: Taking taylor expansion of k in n 2.401 * [taylor]: Taking taylor expansion of 1.0 in n 2.401 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.401 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.401 * [taylor]: Taking taylor expansion of -2.0 in n 2.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.404 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.405 * [taylor]: Taking taylor expansion of 0.5 in k 2.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.405 * [taylor]: Taking taylor expansion of k in k 2.405 * [taylor]: Taking taylor expansion of 1.0 in k 2.405 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.405 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.405 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.405 * [taylor]: Taking taylor expansion of -2.0 in k 2.405 * [taylor]: Taking taylor expansion of PI in k 2.406 * [taylor]: Taking taylor expansion of (log n) in k 2.406 * [taylor]: Taking taylor expansion of n in k 2.417 * [taylor]: Taking taylor expansion of 0 in k 2.423 * [taylor]: Taking taylor expansion of 0 in k 2.431 * [taylor]: Taking taylor expansion of 0 in k 2.432 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 2.433 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.433 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.433 * [taylor]: Taking taylor expansion of 2.0 in n 2.433 * [taylor]: Taking taylor expansion of (* n PI) in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.433 * [taylor]: Taking taylor expansion of 2.0 in n 2.433 * [taylor]: Taking taylor expansion of (* n PI) in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.444 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.444 * [taylor]: Taking taylor expansion of 2.0 in n 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of n in n 2.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.444 * [taylor]: Taking taylor expansion of 2.0 in n 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of n in n 2.453 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.453 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.453 * [taylor]: Taking taylor expansion of -2.0 in n 2.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.453 * [taylor]: Taking taylor expansion of n in n 2.453 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.453 * [taylor]: Taking taylor expansion of -2.0 in n 2.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.453 * [taylor]: Taking taylor expansion of n in n 2.461 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 2 1) 2.461 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.461 * [taylor]: Taking taylor expansion of 2.0 in n 2.461 * [taylor]: Taking taylor expansion of (* n PI) in n 2.461 * [taylor]: Taking taylor expansion of n in n 2.461 * [taylor]: Taking taylor expansion of PI in n 2.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.461 * [taylor]: Taking taylor expansion of 2.0 in n 2.461 * [taylor]: Taking taylor expansion of (* n PI) in n 2.461 * [taylor]: Taking taylor expansion of n in n 2.461 * [taylor]: Taking taylor expansion of PI in n 2.473 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.473 * [taylor]: Taking taylor expansion of 2.0 in n 2.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.473 * [taylor]: Taking taylor expansion of PI in n 2.473 * [taylor]: Taking taylor expansion of n in n 2.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.473 * [taylor]: Taking taylor expansion of 2.0 in n 2.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.473 * [taylor]: Taking taylor expansion of PI in n 2.473 * [taylor]: Taking taylor expansion of n in n 2.482 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.482 * [taylor]: Taking taylor expansion of -2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.482 * [taylor]: Taking taylor expansion of -2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.490 * * * [progress]: simplifying candidates 2.495 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.501 * * [simplify]: iteration 0 : 399 enodes (cost 798 ) 2.508 * * [simplify]: iteration 1 : 1625 enodes (cost 738 ) 2.539 * * [simplify]: iteration 2 : 5001 enodes (cost 694 ) 2.543 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.544 * * * [progress]: adding candidates to table 2.914 * * [progress]: iteration 4 / 4 2.914 * * * [progress]: picking best candidate 2.934 * * * * [pick]: Picked # 2.935 * * * [progress]: localizing error 2.950 * * * [progress]: generating rewritten candidates 2.950 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.973 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.994 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.012 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 3.035 * * * [progress]: generating series expansions 3.035 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.035 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.036 * [taylor]: Taking taylor expansion of 0.5 in k 3.036 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.036 * [taylor]: Taking taylor expansion of 1.0 in k 3.036 * [taylor]: Taking taylor expansion of k in k 3.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.036 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.036 * [taylor]: Taking taylor expansion of 2.0 in k 3.036 * [taylor]: Taking taylor expansion of (* n PI) in k 3.036 * [taylor]: Taking taylor expansion of n in k 3.036 * [taylor]: Taking taylor expansion of PI in k 3.037 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.037 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.037 * [taylor]: Taking taylor expansion of 0.5 in n 3.037 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.037 * [taylor]: Taking taylor expansion of 1.0 in n 3.037 * [taylor]: Taking taylor expansion of k in n 3.037 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.037 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.037 * [taylor]: Taking taylor expansion of 2.0 in n 3.037 * [taylor]: Taking taylor expansion of (* n PI) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.037 * [taylor]: Taking taylor expansion of PI in n 3.042 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.042 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.042 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.042 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.042 * [taylor]: Taking taylor expansion of 0.5 in n 3.042 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.042 * [taylor]: Taking taylor expansion of 1.0 in n 3.042 * [taylor]: Taking taylor expansion of k in n 3.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.042 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.042 * [taylor]: Taking taylor expansion of 2.0 in n 3.042 * [taylor]: Taking taylor expansion of (* n PI) in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.047 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.047 * [taylor]: Taking taylor expansion of 0.5 in k 3.047 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.047 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.047 * [taylor]: Taking taylor expansion of 1.0 in k 3.047 * [taylor]: Taking taylor expansion of k in k 3.047 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.047 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.047 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.047 * [taylor]: Taking taylor expansion of 2.0 in k 3.047 * [taylor]: Taking taylor expansion of PI in k 3.048 * [taylor]: Taking taylor expansion of (log n) in k 3.048 * [taylor]: Taking taylor expansion of n in k 3.056 * [taylor]: Taking taylor expansion of 0 in k 3.071 * [taylor]: Taking taylor expansion of 0 in k 3.088 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.088 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.088 * [taylor]: Taking taylor expansion of 0.5 in k 3.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.088 * [taylor]: Taking taylor expansion of 1.0 in k 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.088 * [taylor]: Taking taylor expansion of k in k 3.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.088 * [taylor]: Taking taylor expansion of 2.0 in k 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.088 * [taylor]: Taking taylor expansion of PI in k 3.088 * [taylor]: Taking taylor expansion of n in k 3.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.089 * [taylor]: Taking taylor expansion of 0.5 in n 3.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.089 * [taylor]: Taking taylor expansion of 1.0 in n 3.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.089 * [taylor]: Taking taylor expansion of k in n 3.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.089 * [taylor]: Taking taylor expansion of 2.0 in n 3.089 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.089 * [taylor]: Taking taylor expansion of PI in n 3.089 * [taylor]: Taking taylor expansion of n in n 3.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.096 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.096 * [taylor]: Taking taylor expansion of 0.5 in n 3.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.096 * [taylor]: Taking taylor expansion of 1.0 in n 3.096 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.096 * [taylor]: Taking taylor expansion of k in n 3.096 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.096 * [taylor]: Taking taylor expansion of 2.0 in n 3.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.096 * [taylor]: Taking taylor expansion of PI in n 3.096 * [taylor]: Taking taylor expansion of n in n 3.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.100 * [taylor]: Taking taylor expansion of 0.5 in k 3.100 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.100 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.100 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.100 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.100 * [taylor]: Taking taylor expansion of 2.0 in k 3.100 * [taylor]: Taking taylor expansion of PI in k 3.100 * [taylor]: Taking taylor expansion of (log n) in k 3.100 * [taylor]: Taking taylor expansion of n in k 3.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.101 * [taylor]: Taking taylor expansion of 1.0 in k 3.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.109 * [taylor]: Taking taylor expansion of 0 in k 3.116 * [taylor]: Taking taylor expansion of 0 in k 3.124 * [taylor]: Taking taylor expansion of 0 in k 3.126 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.126 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.126 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.126 * [taylor]: Taking taylor expansion of 0.5 in k 3.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.126 * [taylor]: Taking taylor expansion of k in k 3.126 * [taylor]: Taking taylor expansion of 1.0 in k 3.126 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.126 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.126 * [taylor]: Taking taylor expansion of -2.0 in k 3.126 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.126 * [taylor]: Taking taylor expansion of PI in k 3.126 * [taylor]: Taking taylor expansion of n in k 3.127 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.127 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.127 * [taylor]: Taking taylor expansion of 0.5 in n 3.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.127 * [taylor]: Taking taylor expansion of k in n 3.127 * [taylor]: Taking taylor expansion of 1.0 in n 3.127 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.127 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.127 * [taylor]: Taking taylor expansion of -2.0 in n 3.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.127 * [taylor]: Taking taylor expansion of PI in n 3.127 * [taylor]: Taking taylor expansion of n in n 3.130 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.131 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.131 * [taylor]: Taking taylor expansion of 0.5 in n 3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.131 * [taylor]: Taking taylor expansion of k in n 3.131 * [taylor]: Taking taylor expansion of 1.0 in n 3.131 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.131 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.131 * [taylor]: Taking taylor expansion of -2.0 in n 3.131 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.131 * [taylor]: Taking taylor expansion of PI in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.134 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.134 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.134 * [taylor]: Taking taylor expansion of 0.5 in k 3.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.134 * [taylor]: Taking taylor expansion of k in k 3.134 * [taylor]: Taking taylor expansion of 1.0 in k 3.134 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.134 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.135 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.135 * [taylor]: Taking taylor expansion of -2.0 in k 3.135 * [taylor]: Taking taylor expansion of PI in k 3.135 * [taylor]: Taking taylor expansion of (log n) in k 3.135 * [taylor]: Taking taylor expansion of n in k 3.143 * [taylor]: Taking taylor expansion of 0 in k 3.150 * [taylor]: Taking taylor expansion of 0 in k 3.158 * [taylor]: Taking taylor expansion of 0 in k 3.158 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.159 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.159 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.159 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.159 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.159 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.159 * [taylor]: Taking taylor expansion of 0.5 in k 3.159 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.159 * [taylor]: Taking taylor expansion of 1.0 in k 3.159 * [taylor]: Taking taylor expansion of k in k 3.159 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.159 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.159 * [taylor]: Taking taylor expansion of 2.0 in k 3.159 * [taylor]: Taking taylor expansion of (* n PI) in k 3.159 * [taylor]: Taking taylor expansion of n in k 3.159 * [taylor]: Taking taylor expansion of PI in k 3.160 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.160 * [taylor]: Taking taylor expansion of 0.5 in n 3.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.160 * [taylor]: Taking taylor expansion of 1.0 in n 3.160 * [taylor]: Taking taylor expansion of k in n 3.160 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.160 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.160 * [taylor]: Taking taylor expansion of 2.0 in n 3.160 * [taylor]: Taking taylor expansion of (* n PI) in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.165 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.165 * [taylor]: Taking taylor expansion of 0.5 in n 3.165 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.165 * [taylor]: Taking taylor expansion of 1.0 in n 3.165 * [taylor]: Taking taylor expansion of k in n 3.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.165 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.165 * [taylor]: Taking taylor expansion of 2.0 in n 3.165 * [taylor]: Taking taylor expansion of (* n PI) in n 3.165 * [taylor]: Taking taylor expansion of n in n 3.165 * [taylor]: Taking taylor expansion of PI in n 3.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.170 * [taylor]: Taking taylor expansion of 0.5 in k 3.170 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.170 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.170 * [taylor]: Taking taylor expansion of 1.0 in k 3.170 * [taylor]: Taking taylor expansion of k in k 3.170 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.170 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.170 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.170 * [taylor]: Taking taylor expansion of 2.0 in k 3.170 * [taylor]: Taking taylor expansion of PI in k 3.171 * [taylor]: Taking taylor expansion of (log n) in k 3.171 * [taylor]: Taking taylor expansion of n in k 3.182 * [taylor]: Taking taylor expansion of 0 in k 3.197 * [taylor]: Taking taylor expansion of 0 in k 3.214 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.214 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.214 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.214 * [taylor]: Taking taylor expansion of 0.5 in k 3.214 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.214 * [taylor]: Taking taylor expansion of 1.0 in k 3.214 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.214 * [taylor]: Taking taylor expansion of k in k 3.214 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.214 * [taylor]: Taking taylor expansion of 2.0 in k 3.214 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.214 * [taylor]: Taking taylor expansion of PI in k 3.214 * [taylor]: Taking taylor expansion of n in k 3.215 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.215 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.215 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.215 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.215 * [taylor]: Taking taylor expansion of 0.5 in n 3.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.215 * [taylor]: Taking taylor expansion of 1.0 in n 3.215 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.216 * [taylor]: Taking taylor expansion of k in n 3.216 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.216 * [taylor]: Taking taylor expansion of 2.0 in n 3.216 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.216 * [taylor]: Taking taylor expansion of PI in n 3.216 * [taylor]: Taking taylor expansion of n in n 3.219 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.219 * [taylor]: Taking taylor expansion of 0.5 in n 3.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.219 * [taylor]: Taking taylor expansion of 1.0 in n 3.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.219 * [taylor]: Taking taylor expansion of k in n 3.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.219 * [taylor]: Taking taylor expansion of PI in n 3.219 * [taylor]: Taking taylor expansion of n in n 3.223 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.223 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.223 * [taylor]: Taking taylor expansion of 0.5 in k 3.223 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.223 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.223 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.223 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.223 * [taylor]: Taking taylor expansion of 2.0 in k 3.223 * [taylor]: Taking taylor expansion of PI in k 3.224 * [taylor]: Taking taylor expansion of (log n) in k 3.224 * [taylor]: Taking taylor expansion of n in k 3.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.224 * [taylor]: Taking taylor expansion of 1.0 in k 3.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.224 * [taylor]: Taking taylor expansion of k in k 3.232 * [taylor]: Taking taylor expansion of 0 in k 3.239 * [taylor]: Taking taylor expansion of 0 in k 3.247 * [taylor]: Taking taylor expansion of 0 in k 3.248 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.248 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.249 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.249 * [taylor]: Taking taylor expansion of 0.5 in k 3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.249 * [taylor]: Taking taylor expansion of k in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.249 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.249 * [taylor]: Taking taylor expansion of -2.0 in k 3.249 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.249 * [taylor]: Taking taylor expansion of PI in k 3.249 * [taylor]: Taking taylor expansion of n in k 3.250 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.250 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.250 * [taylor]: Taking taylor expansion of 0.5 in n 3.250 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.250 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.250 * [taylor]: Taking taylor expansion of k in n 3.250 * [taylor]: Taking taylor expansion of 1.0 in n 3.250 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.250 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.250 * [taylor]: Taking taylor expansion of -2.0 in n 3.250 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.250 * [taylor]: Taking taylor expansion of PI in n 3.250 * [taylor]: Taking taylor expansion of n in n 3.253 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.253 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.253 * [taylor]: Taking taylor expansion of 0.5 in n 3.253 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.253 * [taylor]: Taking taylor expansion of k in n 3.253 * [taylor]: Taking taylor expansion of 1.0 in n 3.253 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.253 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.253 * [taylor]: Taking taylor expansion of -2.0 in n 3.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.254 * [taylor]: Taking taylor expansion of PI in n 3.254 * [taylor]: Taking taylor expansion of n in n 3.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.257 * [taylor]: Taking taylor expansion of 0.5 in k 3.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.257 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.257 * [taylor]: Taking taylor expansion of k in k 3.257 * [taylor]: Taking taylor expansion of 1.0 in k 3.257 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.257 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.257 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.257 * [taylor]: Taking taylor expansion of -2.0 in k 3.257 * [taylor]: Taking taylor expansion of PI in k 3.258 * [taylor]: Taking taylor expansion of (log n) in k 3.258 * [taylor]: Taking taylor expansion of n in k 3.269 * [taylor]: Taking taylor expansion of 0 in k 3.276 * [taylor]: Taking taylor expansion of 0 in k 3.284 * [taylor]: Taking taylor expansion of 0 in k 3.285 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.285 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.285 * [taylor]: Taking taylor expansion of 2.0 in n 3.285 * [taylor]: Taking taylor expansion of (* n PI) in n 3.285 * [taylor]: Taking taylor expansion of n in n 3.285 * [taylor]: Taking taylor expansion of PI in n 3.285 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.285 * [taylor]: Taking taylor expansion of 2.0 in n 3.285 * [taylor]: Taking taylor expansion of (* n PI) in n 3.285 * [taylor]: Taking taylor expansion of n in n 3.285 * [taylor]: Taking taylor expansion of PI in n 3.296 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.296 * [taylor]: Taking taylor expansion of 2.0 in n 3.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.296 * [taylor]: Taking taylor expansion of PI in n 3.296 * [taylor]: Taking taylor expansion of n in n 3.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.297 * [taylor]: Taking taylor expansion of 2.0 in n 3.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.297 * [taylor]: Taking taylor expansion of PI in n 3.297 * [taylor]: Taking taylor expansion of n in n 3.305 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.305 * [taylor]: Taking taylor expansion of -2.0 in n 3.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.305 * [taylor]: Taking taylor expansion of PI in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.305 * [taylor]: Taking taylor expansion of -2.0 in n 3.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.305 * [taylor]: Taking taylor expansion of PI in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.313 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 3.313 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.313 * [taylor]: Taking taylor expansion of 2.0 in n 3.313 * [taylor]: Taking taylor expansion of (* n PI) in n 3.313 * [taylor]: Taking taylor expansion of n in n 3.313 * [taylor]: Taking taylor expansion of PI in n 3.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.313 * [taylor]: Taking taylor expansion of 2.0 in n 3.313 * [taylor]: Taking taylor expansion of (* n PI) in n 3.313 * [taylor]: Taking taylor expansion of n in n 3.313 * [taylor]: Taking taylor expansion of PI in n 3.325 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.325 * [taylor]: Taking taylor expansion of 2.0 in n 3.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.325 * [taylor]: Taking taylor expansion of PI in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.326 * [taylor]: Taking taylor expansion of 2.0 in n 3.326 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.326 * [taylor]: Taking taylor expansion of PI in n 3.326 * [taylor]: Taking taylor expansion of n in n 3.334 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.334 * [taylor]: Taking taylor expansion of -2.0 in n 3.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.334 * [taylor]: Taking taylor expansion of PI in n 3.334 * [taylor]: Taking taylor expansion of n in n 3.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.334 * [taylor]: Taking taylor expansion of -2.0 in n 3.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.334 * [taylor]: Taking taylor expansion of PI in n 3.334 * [taylor]: Taking taylor expansion of n in n 3.345 * * * [progress]: simplifying candidates 3.347 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.352 * * [simplify]: iteration 0 : 399 enodes (cost 798 ) 3.360 * * [simplify]: iteration 1 : 1625 enodes (cost 738 ) 3.392 * * [simplify]: iteration 2 : 5001 enodes (cost 694 ) 3.395 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.396 * * * [progress]: adding candidates to table 3.749 * [progress]: [Phase 3 of 3] Extracting. 3.749 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.752 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 3.752 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 3.787 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 3.823 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 3.859 * * * [regime]: Found split indices: #