23.199 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.141 * * * [progress]: [2/2] Setting up program. 0.143 * [progress]: [Phase 2 of 3] Improving. 0.144 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.146 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.147 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.149 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.151 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.157 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.181 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.181 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.181 * * [progress]: iteration 1 / 4 0.181 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.197 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.236 * * * [progress]: generating series expansions 0.236 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.236 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.237 * [taylor]: Taking taylor expansion of 0.5 in k 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (* n PI) in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.237 * [taylor]: Taking taylor expansion of PI in k 0.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.238 * [taylor]: Taking taylor expansion of 0.5 in n 0.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.238 * [taylor]: Taking taylor expansion of 1.0 in n 0.238 * [taylor]: Taking taylor expansion of k in n 0.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.238 * [taylor]: Taking taylor expansion of 2.0 in n 0.238 * [taylor]: Taking taylor expansion of (* n PI) in n 0.238 * [taylor]: Taking taylor expansion of n in n 0.238 * [taylor]: Taking taylor expansion of PI in n 0.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.243 * [taylor]: Taking taylor expansion of 0.5 in n 0.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.243 * [taylor]: Taking taylor expansion of 1.0 in n 0.243 * [taylor]: Taking taylor expansion of k in n 0.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.243 * [taylor]: Taking taylor expansion of 2.0 in n 0.243 * [taylor]: Taking taylor expansion of (* n PI) in n 0.243 * [taylor]: Taking taylor expansion of n in n 0.243 * [taylor]: Taking taylor expansion of PI in n 0.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.249 * [taylor]: Taking taylor expansion of 0.5 in k 0.249 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.249 * [taylor]: Taking taylor expansion of 1.0 in k 0.249 * [taylor]: Taking taylor expansion of k in k 0.249 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.249 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.249 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.249 * [taylor]: Taking taylor expansion of 2.0 in k 0.249 * [taylor]: Taking taylor expansion of PI in k 0.250 * [taylor]: Taking taylor expansion of (log n) in k 0.250 * [taylor]: Taking taylor expansion of n in k 0.259 * [taylor]: Taking taylor expansion of 0 in k 0.274 * [taylor]: Taking taylor expansion of 0 in k 0.297 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.298 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.298 * [taylor]: Taking taylor expansion of 0.5 in k 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.298 * [taylor]: Taking taylor expansion of 1.0 in k 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.298 * [taylor]: Taking taylor expansion of k in k 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.298 * [taylor]: Taking taylor expansion of 2.0 in k 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.298 * [taylor]: Taking taylor expansion of PI in k 0.298 * [taylor]: Taking taylor expansion of n in k 0.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.303 * [taylor]: Taking taylor expansion of 0.5 in n 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.303 * [taylor]: Taking taylor expansion of 1.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.307 * [taylor]: Taking taylor expansion of 0.5 in k 0.307 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.307 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.307 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.307 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.307 * [taylor]: Taking taylor expansion of 2.0 in k 0.307 * [taylor]: Taking taylor expansion of PI in k 0.308 * [taylor]: Taking taylor expansion of (log n) in k 0.308 * [taylor]: Taking taylor expansion of n in k 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.308 * [taylor]: Taking taylor expansion of 1.0 in k 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.308 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.335 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.335 * [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 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.336 * [taylor]: Taking taylor expansion of -2.0 in k 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.336 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of n in k 0.337 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.337 * [taylor]: Taking taylor expansion of 0.5 in n 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.337 * [taylor]: Taking taylor expansion of k in n 0.337 * [taylor]: Taking taylor expansion of 1.0 in n 0.337 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.337 * [taylor]: Taking taylor expansion of -2.0 in n 0.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.337 * [taylor]: Taking taylor expansion of PI in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.345 * [taylor]: Taking taylor expansion of 1.0 in k 0.345 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.345 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.345 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.345 * [taylor]: Taking taylor expansion of -2.0 in k 0.345 * [taylor]: Taking taylor expansion of PI in k 0.346 * [taylor]: Taking taylor expansion of (log n) in k 0.346 * [taylor]: Taking taylor expansion of n in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.361 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.371 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.372 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.372 * [taylor]: Taking taylor expansion of 1.0 in k 0.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.388 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.389 * [taylor]: Taking taylor expansion of 1.0 in k 0.389 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.389 * [taylor]: Taking taylor expansion of k in k 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.390 * [taylor]: Taking taylor expansion of k in k 0.400 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.400 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.400 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.400 * [taylor]: Taking taylor expansion of -1 in k 0.400 * [taylor]: Taking taylor expansion of k in k 0.401 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.401 * [taylor]: Taking taylor expansion of 1.0 in k 0.401 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.401 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.401 * [taylor]: Taking taylor expansion of -1 in k 0.401 * [taylor]: Taking taylor expansion of k in k 0.413 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.413 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.413 * [taylor]: Taking taylor expansion of (* n PI) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.413 * [taylor]: Taking taylor expansion of (* n PI) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.425 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.425 * [taylor]: Taking taylor expansion of 2.0 in n 0.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.426 * [taylor]: Taking taylor expansion of 2.0 in n 0.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.426 * [taylor]: Taking taylor expansion of PI in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.434 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.435 * [taylor]: Taking taylor expansion of -2.0 in n 0.435 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.435 * [taylor]: Taking taylor expansion of PI in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.435 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.435 * [taylor]: Taking taylor expansion of -2.0 in n 0.435 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.435 * [taylor]: Taking taylor expansion of PI in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.443 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.444 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.444 * [taylor]: Taking taylor expansion of k in n 0.444 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of k in n 0.444 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.444 * [taylor]: Taking taylor expansion of 2.0 in n 0.444 * [taylor]: Taking taylor expansion of (* n PI) in n 0.444 * [taylor]: Taking taylor expansion of n in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.451 * [taylor]: Taking taylor expansion of 0.5 in k 0.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.451 * [taylor]: Taking taylor expansion of 1.0 in k 0.451 * [taylor]: Taking taylor expansion of k in k 0.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.451 * [taylor]: Taking taylor expansion of 2.0 in k 0.452 * [taylor]: Taking taylor expansion of (* n PI) in k 0.452 * [taylor]: Taking taylor expansion of n in k 0.452 * [taylor]: Taking taylor expansion of PI in k 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.453 * [taylor]: Taking taylor expansion of k in k 0.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.454 * [taylor]: Taking taylor expansion of 0.5 in k 0.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.454 * [taylor]: Taking taylor expansion of 1.0 in k 0.454 * [taylor]: Taking taylor expansion of k in k 0.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.454 * [taylor]: Taking taylor expansion of 2.0 in k 0.454 * [taylor]: Taking taylor expansion of (* n PI) in k 0.454 * [taylor]: Taking taylor expansion of n in k 0.454 * [taylor]: Taking taylor expansion of PI in k 0.458 * [taylor]: Taking taylor expansion of 0 in n 0.464 * [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 0.464 * [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 0.464 * [taylor]: Taking taylor expansion of +nan.0 in n 0.464 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.464 * [taylor]: Taking taylor expansion of 0.5 in n 0.464 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.464 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.464 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.464 * [taylor]: Taking taylor expansion of 1.0 in n 0.464 * [taylor]: Taking taylor expansion of (log PI) in n 0.464 * [taylor]: Taking taylor expansion of PI in n 0.466 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.466 * [taylor]: Taking taylor expansion of 1.0 in n 0.466 * [taylor]: Taking taylor expansion of (log n) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.467 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.467 * [taylor]: Taking taylor expansion of 1.0 in n 0.467 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.467 * [taylor]: Taking taylor expansion of 2.0 in n 0.486 * [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 0.486 * [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 0.486 * [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 0.486 * [taylor]: Taking taylor expansion of +nan.0 in n 0.486 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.486 * [taylor]: Taking taylor expansion of 0.5 in n 0.486 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.486 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of (log PI) in n 0.486 * [taylor]: Taking taylor expansion of PI in n 0.488 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.488 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (log n) in n 0.488 * [taylor]: Taking taylor expansion of n in n 0.488 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.488 * [taylor]: Taking taylor expansion of 2.0 in n 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of +nan.0 in n 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.496 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [taylor]: Taking taylor expansion of (log PI) in n 0.496 * [taylor]: Taking taylor expansion of PI in n 0.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.498 * [taylor]: Taking taylor expansion of 1.0 in n 0.498 * [taylor]: Taking taylor expansion of (log n) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.502 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.502 * [taylor]: Taking taylor expansion of (* n PI) in n 0.502 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of PI in n 0.555 * [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 0.555 * [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 0.555 * [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 0.555 * [taylor]: Taking taylor expansion of +nan.0 in n 0.555 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.555 * [taylor]: Taking taylor expansion of 0.5 in n 0.555 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.555 * [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 0.557 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log n) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log PI) in n 0.558 * [taylor]: Taking taylor expansion of PI in n 0.563 * [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 0.563 * [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 0.563 * [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 0.563 * [taylor]: Taking taylor expansion of +nan.0 in n 0.563 * [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 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log PI) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.567 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of (log n) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.571 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.571 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [taylor]: Taking taylor expansion of (* n PI) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.571 * [taylor]: Taking taylor expansion of PI in n 0.574 * [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 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of +nan.0 in n 0.574 * [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 0.574 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.574 * [taylor]: Taking taylor expansion of 0.5 in n 0.574 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.574 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.576 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log PI) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.582 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [taylor]: Taking taylor expansion of (* n PI) in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.582 * [taylor]: Taking taylor expansion of PI in n 0.660 * [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 0.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.660 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.660 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.660 * [taylor]: Taking taylor expansion of 0.5 in n 0.660 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.660 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.661 * [taylor]: Taking taylor expansion of 2.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.661 * [taylor]: Taking taylor expansion of PI in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.664 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.666 * [taylor]: Taking taylor expansion of 0.5 in k 0.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.666 * [taylor]: Taking taylor expansion of 1.0 in k 0.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.666 * [taylor]: Taking taylor expansion of 2.0 in k 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.666 * [taylor]: Taking taylor expansion of PI in k 0.666 * [taylor]: Taking taylor expansion of n in k 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.667 * [taylor]: Taking taylor expansion of 1.0 in k 0.667 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.667 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.668 * [taylor]: Taking taylor expansion of 0.5 in k 0.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.668 * [taylor]: Taking taylor expansion of k in k 0.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.668 * [taylor]: Taking taylor expansion of 2.0 in k 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.668 * [taylor]: Taking taylor expansion of PI in k 0.668 * [taylor]: Taking taylor expansion of n in k 0.670 * [taylor]: Taking taylor expansion of 0 in n 0.671 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.671 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.671 * [taylor]: Taking taylor expansion of +nan.0 in n 0.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.671 * [taylor]: Taking taylor expansion of 0.5 in n 0.671 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.671 * [taylor]: Taking taylor expansion of 2.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.671 * [taylor]: Taking taylor expansion of PI in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.672 * [taylor]: Taking taylor expansion of 1.0 in n 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.672 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.680 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.680 * [taylor]: Taking taylor expansion of +nan.0 in n 0.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.680 * [taylor]: Taking taylor expansion of 2.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.698 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.698 * [taylor]: Taking taylor expansion of +nan.0 in n 0.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.698 * [taylor]: Taking taylor expansion of 0.5 in n 0.698 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.698 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of 2.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.700 * [taylor]: Taking taylor expansion of 1.0 in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.700 * [taylor]: Taking taylor expansion of k in n 0.708 * [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 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.709 * [taylor]: Taking taylor expansion of k in n 0.709 * [taylor]: Taking taylor expansion of 1.0 in n 0.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of -2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.712 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.712 * [taylor]: Taking taylor expansion of -1 in n 0.712 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.713 * [taylor]: Taking taylor expansion of 1.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.713 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.713 * [taylor]: Taking taylor expansion of 0.5 in k 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.713 * [taylor]: Taking taylor expansion of k in k 0.714 * [taylor]: Taking taylor expansion of 1.0 in k 0.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.714 * [taylor]: Taking taylor expansion of -2.0 in k 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.714 * [taylor]: Taking taylor expansion of PI in k 0.714 * [taylor]: Taking taylor expansion of n in k 0.715 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.715 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.715 * [taylor]: Taking taylor expansion of -1 in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.716 * [taylor]: Taking taylor expansion of 1.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.716 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.716 * [taylor]: Taking taylor expansion of 0.5 in k 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.717 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.717 * [taylor]: Taking taylor expansion of -2.0 in k 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.717 * [taylor]: Taking taylor expansion of PI in k 0.717 * [taylor]: Taking taylor expansion of n in k 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.721 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.721 * [taylor]: Taking taylor expansion of -1 in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.723 * [taylor]: Taking taylor expansion of -2.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.723 * [taylor]: Taking taylor expansion of PI in n 0.723 * [taylor]: Taking taylor expansion of n in n 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.731 * [taylor]: Taking taylor expansion of +nan.0 in n 0.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of -2.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.749 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.749 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.749 * [taylor]: Taking taylor expansion of +nan.0 in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.749 * [taylor]: Taking taylor expansion of 0.5 in n 0.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.749 * [taylor]: Taking taylor expansion of k in n 0.750 * [taylor]: Taking taylor expansion of 1.0 in n 0.750 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.750 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.750 * [taylor]: Taking taylor expansion of -2.0 in n 0.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.750 * [taylor]: Taking taylor expansion of PI in n 0.750 * [taylor]: Taking taylor expansion of n in n 0.759 * * * [progress]: simplifying candidates 0.761 * [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 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) (* (* 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 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)))))) (+ (- (* +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) 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)))) 0.857 * * * [progress]: adding candidates to table 1.248 * * [progress]: iteration 2 / 4 1.248 * * * [progress]: picking best candidate 1.280 * * * * [pick]: Picked # 1.280 * * * [progress]: localizing error 1.297 * * * [progress]: generating rewritten candidates 1.297 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.304 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.310 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.323 * * * [progress]: generating series expansions 1.323 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.324 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.324 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.324 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.324 * [taylor]: Taking taylor expansion of 0.5 in n 1.324 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.324 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.324 * [taylor]: Taking taylor expansion of 2.0 in n 1.324 * [taylor]: Taking taylor expansion of (* n PI) in n 1.324 * [taylor]: Taking taylor expansion of n in n 1.324 * [taylor]: Taking taylor expansion of PI in n 1.329 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.329 * [taylor]: Taking taylor expansion of 0.5 in n 1.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.329 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.330 * [taylor]: Taking taylor expansion of 2.0 in n 1.330 * [taylor]: Taking taylor expansion of (* n PI) in n 1.330 * [taylor]: Taking taylor expansion of n in n 1.330 * [taylor]: Taking taylor expansion of PI in n 1.411 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.411 * [taylor]: Taking taylor expansion of 0.5 in n 1.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of 2.0 in n 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.415 * [taylor]: Taking taylor expansion of 0.5 in n 1.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.415 * [taylor]: Taking taylor expansion of 2.0 in n 1.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.415 * [taylor]: Taking taylor expansion of PI in n 1.415 * [taylor]: Taking taylor expansion of n in n 1.493 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.493 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.493 * [taylor]: Taking taylor expansion of 0.5 in n 1.494 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.494 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.494 * [taylor]: Taking taylor expansion of -2.0 in n 1.494 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.494 * [taylor]: Taking taylor expansion of PI in n 1.494 * [taylor]: Taking taylor expansion of n in n 1.497 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.497 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.497 * [taylor]: Taking taylor expansion of 0.5 in n 1.497 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.497 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.497 * [taylor]: Taking taylor expansion of -2.0 in n 1.497 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.497 * [taylor]: Taking taylor expansion of PI in n 1.497 * [taylor]: Taking taylor expansion of n in n 1.577 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.578 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.578 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.578 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.578 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.578 * [taylor]: Taking taylor expansion of 0.5 in k 1.578 * [taylor]: Taking taylor expansion of k in k 1.578 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.578 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.578 * [taylor]: Taking taylor expansion of 2.0 in k 1.578 * [taylor]: Taking taylor expansion of (* n PI) in k 1.578 * [taylor]: Taking taylor expansion of n in k 1.578 * [taylor]: Taking taylor expansion of PI in k 1.581 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.581 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.581 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.581 * [taylor]: Taking taylor expansion of 0.5 in n 1.581 * [taylor]: Taking taylor expansion of k in n 1.581 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.581 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.581 * [taylor]: Taking taylor expansion of 2.0 in n 1.581 * [taylor]: Taking taylor expansion of (* n PI) in n 1.581 * [taylor]: Taking taylor expansion of n in n 1.581 * [taylor]: Taking taylor expansion of PI in n 1.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.592 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.592 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.592 * [taylor]: Taking taylor expansion of 0.5 in n 1.592 * [taylor]: Taking taylor expansion of k in n 1.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.592 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.592 * [taylor]: Taking taylor expansion of 2.0 in n 1.592 * [taylor]: Taking taylor expansion of (* n PI) in n 1.592 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.598 * [taylor]: Taking taylor expansion of 0.5 in k 1.598 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.598 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.598 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.598 * [taylor]: Taking taylor expansion of 2.0 in k 1.598 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (log n) in k 1.599 * [taylor]: Taking taylor expansion of n in k 1.609 * [taylor]: Taking taylor expansion of 0 in k 1.618 * [taylor]: Taking taylor expansion of 0 in k 1.632 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.632 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.632 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.632 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.632 * [taylor]: Taking taylor expansion of 0.5 in k 1.632 * [taylor]: Taking taylor expansion of k in k 1.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.632 * [taylor]: Taking taylor expansion of 2.0 in k 1.632 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.632 * [taylor]: Taking taylor expansion of PI in k 1.632 * [taylor]: Taking taylor expansion of n in k 1.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.633 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.633 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.633 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.633 * [taylor]: Taking taylor expansion of 0.5 in n 1.633 * [taylor]: Taking taylor expansion of k in n 1.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.633 * [taylor]: Taking taylor expansion of 2.0 in n 1.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.633 * [taylor]: Taking taylor expansion of PI in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.636 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.636 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.636 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.636 * [taylor]: Taking taylor expansion of 0.5 in n 1.636 * [taylor]: Taking taylor expansion of k in n 1.636 * [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 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.640 * [taylor]: Taking taylor expansion of 0.5 in k 1.640 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.640 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.640 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.640 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.640 * [taylor]: Taking taylor expansion of 2.0 in k 1.640 * [taylor]: Taking taylor expansion of PI in k 1.641 * [taylor]: Taking taylor expansion of (log n) in k 1.641 * [taylor]: Taking taylor expansion of n in k 1.641 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of 0 in k 1.656 * [taylor]: Taking taylor expansion of 0 in k 1.663 * [taylor]: Taking taylor expansion of 0 in k 1.664 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.664 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.664 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.664 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.664 * [taylor]: Taking taylor expansion of -0.5 in k 1.664 * [taylor]: Taking taylor expansion of k in k 1.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.665 * [taylor]: Taking taylor expansion of -2.0 in k 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.665 * [taylor]: Taking taylor expansion of PI in k 1.665 * [taylor]: Taking taylor expansion of n in k 1.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.665 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.665 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.665 * [taylor]: Taking taylor expansion of -0.5 in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.665 * [taylor]: Taking taylor expansion of -2.0 in n 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.669 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.669 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.669 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.669 * [taylor]: Taking taylor expansion of -0.5 in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.669 * [taylor]: Taking taylor expansion of -2.0 in n 1.669 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.678 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.678 * [taylor]: Taking taylor expansion of -0.5 in k 1.678 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.678 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.678 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.678 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.678 * [taylor]: Taking taylor expansion of -2.0 in k 1.678 * [taylor]: Taking taylor expansion of PI in k 1.679 * [taylor]: Taking taylor expansion of (log n) in k 1.679 * [taylor]: Taking taylor expansion of n in k 1.679 * [taylor]: Taking taylor expansion of k in k 1.687 * [taylor]: Taking taylor expansion of 0 in k 1.693 * [taylor]: Taking taylor expansion of 0 in k 1.701 * [taylor]: Taking taylor expansion of 0 in k 1.702 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.702 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.702 * [taylor]: Taking taylor expansion of (* n PI) in n 1.702 * [taylor]: Taking taylor expansion of n in n 1.702 * [taylor]: Taking taylor expansion of PI in n 1.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.702 * [taylor]: Taking taylor expansion of (* n PI) in n 1.702 * [taylor]: Taking taylor expansion of n in n 1.702 * [taylor]: Taking taylor expansion of PI in n 1.714 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.715 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.715 * [taylor]: Taking taylor expansion of 2.0 in n 1.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.715 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.715 * [taylor]: Taking taylor expansion of 2.0 in n 1.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.724 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.733 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.733 * [taylor]: Taking taylor expansion of 2.0 in n 1.733 * [taylor]: Taking taylor expansion of (* n PI) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.733 * [taylor]: Taking taylor expansion of 2.0 in n 1.733 * [taylor]: Taking taylor expansion of (* n PI) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.746 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.746 * [taylor]: Taking taylor expansion of 2.0 in n 1.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.746 * [taylor]: Taking taylor expansion of PI in n 1.746 * [taylor]: Taking taylor expansion of n in n 1.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.747 * [taylor]: Taking taylor expansion of 2.0 in n 1.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.747 * [taylor]: Taking taylor expansion of PI in n 1.747 * [taylor]: Taking taylor expansion of n in n 1.761 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.762 * [taylor]: Taking taylor expansion of -2.0 in n 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.762 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.762 * [taylor]: Taking taylor expansion of -2.0 in n 1.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.762 * [taylor]: Taking taylor expansion of PI in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.771 * * * [progress]: simplifying candidates 1.772 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* 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)) 1.777 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.786 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.818 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.821 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 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 (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* 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) 1.822 * * * [progress]: adding candidates to table 2.102 * * [progress]: iteration 3 / 4 2.102 * * * [progress]: picking best candidate 2.130 * * * * [pick]: Picked # 2.130 * * * [progress]: localizing error 2.146 * * * [progress]: generating rewritten candidates 2.146 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.153 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.160 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.164 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.189 * * * [progress]: generating series expansions 2.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.189 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 2.189 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.189 * [taylor]: Taking taylor expansion of 0.5 in k 2.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.190 * [taylor]: Taking taylor expansion of 1.0 in k 2.190 * [taylor]: Taking taylor expansion of k in k 2.190 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.190 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.190 * [taylor]: Taking taylor expansion of 2.0 in k 2.190 * [taylor]: Taking taylor expansion of PI in k 2.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.194 * [taylor]: Taking taylor expansion of 0.5 in k 2.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.194 * [taylor]: Taking taylor expansion of 1.0 in k 2.194 * [taylor]: Taking taylor expansion of k in k 2.194 * [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 2.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.242 * [taylor]: Taking taylor expansion of 0.5 in k 2.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.242 * [taylor]: Taking taylor expansion of 1.0 in k 2.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.242 * [taylor]: Taking taylor expansion of k in k 2.242 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.242 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.242 * [taylor]: Taking taylor expansion of 2.0 in k 2.242 * [taylor]: Taking taylor expansion of PI in k 2.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.246 * [taylor]: Taking taylor expansion of 0.5 in k 2.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.246 * [taylor]: Taking taylor expansion of 1.0 in k 2.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.246 * [taylor]: Taking taylor expansion of k in k 2.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.246 * [taylor]: Taking taylor expansion of 2.0 in k 2.246 * [taylor]: Taking taylor expansion of PI in k 2.251 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.251 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.251 * [taylor]: Taking taylor expansion of 0.5 in k 2.251 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.251 * [taylor]: Taking taylor expansion of k in k 2.252 * [taylor]: Taking taylor expansion of 1.0 in k 2.252 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.252 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.252 * [taylor]: Taking taylor expansion of 2.0 in k 2.252 * [taylor]: Taking taylor expansion of PI in k 2.262 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.262 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.262 * [taylor]: Taking taylor expansion of 0.5 in k 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.262 * [taylor]: Taking taylor expansion of k in k 2.262 * [taylor]: Taking taylor expansion of 1.0 in k 2.262 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.262 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.262 * [taylor]: Taking taylor expansion of 2.0 in k 2.262 * [taylor]: Taking taylor expansion of PI in k 2.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.268 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 2.269 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.269 * [taylor]: Taking taylor expansion of 0.5 in n 2.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.269 * [taylor]: Taking taylor expansion of 1.0 in n 2.269 * [taylor]: Taking taylor expansion of k in n 2.269 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.269 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.269 * [taylor]: Taking taylor expansion of 2.0 in n 2.269 * [taylor]: Taking taylor expansion of PI in n 2.271 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.271 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.271 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.271 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.271 * [taylor]: Taking taylor expansion of 0.5 in n 2.271 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.271 * [taylor]: Taking taylor expansion of 1.0 in n 2.271 * [taylor]: Taking taylor expansion of k in n 2.271 * [taylor]: Taking taylor expansion of (log n) in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.272 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.272 * [taylor]: Taking taylor expansion of 0.5 in k 2.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.272 * [taylor]: Taking taylor expansion of 1.0 in k 2.272 * [taylor]: Taking taylor expansion of k in k 2.272 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.272 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.272 * [taylor]: Taking taylor expansion of 2.0 in k 2.272 * [taylor]: Taking taylor expansion of PI in k 2.276 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.277 * [taylor]: Taking taylor expansion of 0.5 in k 2.277 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.277 * [taylor]: Taking taylor expansion of 1.0 in k 2.277 * [taylor]: Taking taylor expansion of k in k 2.277 * [taylor]: Taking taylor expansion of (log n) in k 2.277 * [taylor]: Taking taylor expansion of n in k 2.278 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.278 * [taylor]: Taking taylor expansion of 0.5 in k 2.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.278 * [taylor]: Taking taylor expansion of 1.0 in k 2.278 * [taylor]: Taking taylor expansion of k in k 2.278 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.278 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.278 * [taylor]: Taking taylor expansion of 2.0 in k 2.278 * [taylor]: Taking taylor expansion of PI in k 2.282 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.282 * [taylor]: Taking taylor expansion of 0.5 in k 2.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.282 * [taylor]: Taking taylor expansion of 1.0 in k 2.282 * [taylor]: Taking taylor expansion of k in k 2.282 * [taylor]: Taking taylor expansion of (log n) in k 2.282 * [taylor]: Taking taylor expansion of n in k 2.284 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.284 * [taylor]: Taking taylor expansion of 0.5 in n 2.284 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.284 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.284 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.284 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.284 * [taylor]: Taking taylor expansion of 1.0 in n 2.284 * [taylor]: Taking taylor expansion of (log PI) in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.286 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.286 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.286 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.286 * [taylor]: Taking taylor expansion of 1.0 in n 2.286 * [taylor]: Taking taylor expansion of (log n) in n 2.286 * [taylor]: Taking taylor expansion of n in n 2.287 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.287 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.287 * [taylor]: Taking taylor expansion of 1.0 in n 2.287 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.287 * [taylor]: Taking taylor expansion of 2.0 in n 2.313 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.313 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.313 * [taylor]: Taking taylor expansion of 0.5 in n 2.313 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.313 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.313 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.313 * [taylor]: Taking taylor expansion of 2.0 in n 2.313 * [taylor]: Taking taylor expansion of PI in n 2.314 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.314 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.314 * [taylor]: Taking taylor expansion of 0.5 in n 2.314 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.314 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.314 * [taylor]: Taking taylor expansion of 1.0 in n 2.314 * [taylor]: Taking taylor expansion of (log PI) in n 2.314 * [taylor]: Taking taylor expansion of PI in n 2.316 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.316 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.316 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.316 * [taylor]: Taking taylor expansion of 1.0 in n 2.316 * [taylor]: Taking taylor expansion of (log n) in n 2.316 * [taylor]: Taking taylor expansion of n in n 2.317 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.317 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.317 * [taylor]: Taking taylor expansion of 1.0 in n 2.317 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.317 * [taylor]: Taking taylor expansion of 2.0 in n 2.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.322 * [taylor]: Taking taylor expansion of 0.5 in n 2.322 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.322 * [taylor]: Taking taylor expansion of (log n) in n 2.322 * [taylor]: Taking taylor expansion of n in n 2.323 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.323 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.323 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.323 * [taylor]: Taking taylor expansion of 0.5 in n 2.323 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.323 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.323 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.323 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.323 * [taylor]: Taking taylor expansion of 1.0 in n 2.323 * [taylor]: Taking taylor expansion of (log PI) in n 2.323 * [taylor]: Taking taylor expansion of PI in n 2.325 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.325 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.325 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.325 * [taylor]: Taking taylor expansion of 1.0 in n 2.325 * [taylor]: Taking taylor expansion of (log n) in n 2.325 * [taylor]: Taking taylor expansion of n in n 2.325 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.326 * [taylor]: Taking taylor expansion of 1.0 in n 2.326 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.326 * [taylor]: Taking taylor expansion of 2.0 in n 2.385 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.386 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.386 * [taylor]: Taking taylor expansion of 0.125 in n 2.386 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.386 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.386 * [taylor]: Taking taylor expansion of (log n) in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.386 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.386 * [taylor]: Taking taylor expansion of 0.5 in n 2.386 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.386 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.386 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log PI) in n 2.386 * [taylor]: Taking taylor expansion of PI in n 2.388 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.388 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.388 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.388 * [taylor]: Taking taylor expansion of 1.0 in n 2.388 * [taylor]: Taking taylor expansion of (log n) in n 2.388 * [taylor]: Taking taylor expansion of n in n 2.389 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.389 * [taylor]: Taking taylor expansion of 1.0 in n 2.389 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.389 * [taylor]: Taking taylor expansion of 2.0 in n 2.394 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.394 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 2.394 * [taylor]: Taking taylor expansion of 0.25 in n 2.394 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 2.394 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 2.395 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.395 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.395 * [taylor]: Taking taylor expansion of 2.0 in n 2.395 * [taylor]: Taking taylor expansion of PI in n 2.395 * [taylor]: Taking taylor expansion of (log n) in n 2.396 * [taylor]: Taking taylor expansion of n in n 2.396 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.396 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.396 * [taylor]: Taking taylor expansion of 0.5 in n 2.396 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.396 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.396 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.396 * [taylor]: Taking taylor expansion of 1.0 in n 2.396 * [taylor]: Taking taylor expansion of (log PI) in n 2.396 * [taylor]: Taking taylor expansion of PI in n 2.398 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.398 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.398 * [taylor]: Taking taylor expansion of 2.0 in n 2.400 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log n) in n 2.400 * [taylor]: Taking taylor expansion of n in n 2.404 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.404 * [taylor]: Taking taylor expansion of 0.125 in n 2.404 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.404 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.404 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.404 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.404 * [taylor]: Taking taylor expansion of 2.0 in n 2.404 * [taylor]: Taking taylor expansion of PI in n 2.405 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.405 * [taylor]: Taking taylor expansion of 0.5 in n 2.405 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.405 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.405 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.405 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.405 * [taylor]: Taking taylor expansion of 1.0 in n 2.405 * [taylor]: Taking taylor expansion of (log PI) in n 2.405 * [taylor]: Taking taylor expansion of PI in n 2.407 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.407 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.407 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.407 * [taylor]: Taking taylor expansion of 1.0 in n 2.407 * [taylor]: Taking taylor expansion of (log n) in n 2.407 * [taylor]: Taking taylor expansion of n in n 2.408 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.408 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.408 * [taylor]: Taking taylor expansion of 1.0 in n 2.408 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.408 * [taylor]: Taking taylor expansion of 2.0 in n 2.452 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 2.452 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.452 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.452 * [taylor]: Taking taylor expansion of 0.5 in n 2.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.452 * [taylor]: Taking taylor expansion of 1.0 in n 2.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.452 * [taylor]: Taking taylor expansion of k in n 2.452 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.452 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.453 * [taylor]: Taking taylor expansion of 0.5 in n 2.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.453 * [taylor]: Taking taylor expansion of 1.0 in n 2.453 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.453 * [taylor]: Taking taylor expansion of k in n 2.453 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.453 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.453 * [taylor]: Taking taylor expansion of 2.0 in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.456 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.456 * [taylor]: Taking taylor expansion of 0.5 in k 2.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.456 * [taylor]: Taking taylor expansion of 1.0 in k 2.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.456 * [taylor]: Taking taylor expansion of k in k 2.456 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.456 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.456 * [taylor]: Taking taylor expansion of n in k 2.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.457 * [taylor]: Taking taylor expansion of 0.5 in k 2.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.457 * [taylor]: Taking taylor expansion of 1.0 in k 2.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.457 * [taylor]: Taking taylor expansion of k in k 2.458 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.458 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.458 * [taylor]: Taking taylor expansion of 2.0 in k 2.458 * [taylor]: Taking taylor expansion of PI in k 2.461 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.461 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.461 * [taylor]: Taking taylor expansion of 0.5 in k 2.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.461 * [taylor]: Taking taylor expansion of 1.0 in k 2.461 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.461 * [taylor]: Taking taylor expansion of k in k 2.461 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.461 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.461 * [taylor]: Taking taylor expansion of n in k 2.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.462 * [taylor]: Taking taylor expansion of 0.5 in k 2.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.462 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.463 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.463 * [taylor]: Taking taylor expansion of 2.0 in k 2.463 * [taylor]: Taking taylor expansion of PI in k 2.467 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.467 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.467 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.468 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.468 * [taylor]: Taking taylor expansion of 1.0 in n 2.468 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.468 * [taylor]: Taking taylor expansion of k in n 2.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.468 * [taylor]: Taking taylor expansion of 0.5 in n 2.468 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.468 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.468 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.468 * [taylor]: Taking taylor expansion of 2.0 in n 2.468 * [taylor]: Taking taylor expansion of PI in n 2.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.469 * [taylor]: Taking taylor expansion of 1.0 in n 2.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.469 * [taylor]: Taking taylor expansion of k in n 2.474 * [taylor]: Taking taylor expansion of 0 in n 2.483 * [taylor]: Taking taylor expansion of 0 in n 2.495 * [taylor]: Taking taylor expansion of 0 in n 2.496 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.497 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.497 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.497 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.497 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.497 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.497 * [taylor]: Taking taylor expansion of 0.5 in n 2.497 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.497 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.497 * [taylor]: Taking taylor expansion of k in n 2.497 * [taylor]: Taking taylor expansion of 1.0 in n 2.497 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.497 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.497 * [taylor]: Taking taylor expansion of -1 in n 2.497 * [taylor]: Taking taylor expansion of n in n 2.499 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.499 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.499 * [taylor]: Taking taylor expansion of 0.5 in n 2.499 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.499 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.499 * [taylor]: Taking taylor expansion of k in n 2.499 * [taylor]: Taking taylor expansion of 1.0 in n 2.499 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.499 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.499 * [taylor]: Taking taylor expansion of 2.0 in n 2.499 * [taylor]: Taking taylor expansion of PI in n 2.501 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.501 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.501 * [taylor]: Taking taylor expansion of 0.5 in k 2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.501 * [taylor]: Taking taylor expansion of k in k 2.502 * [taylor]: Taking taylor expansion of 1.0 in k 2.502 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.502 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.502 * [taylor]: Taking taylor expansion of -1 in k 2.502 * [taylor]: Taking taylor expansion of n in k 2.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.503 * [taylor]: Taking taylor expansion of 0.5 in k 2.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.503 * [taylor]: Taking taylor expansion of k in k 2.503 * [taylor]: Taking taylor expansion of 1.0 in k 2.503 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.503 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.503 * [taylor]: Taking taylor expansion of 2.0 in k 2.503 * [taylor]: Taking taylor expansion of PI in k 2.506 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.506 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.506 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.506 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.506 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.506 * [taylor]: Taking taylor expansion of 0.5 in k 2.506 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.506 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.506 * [taylor]: Taking taylor expansion of k in k 2.507 * [taylor]: Taking taylor expansion of 1.0 in k 2.507 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.507 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.507 * [taylor]: Taking taylor expansion of -1 in k 2.507 * [taylor]: Taking taylor expansion of n in k 2.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.508 * [taylor]: Taking taylor expansion of 0.5 in k 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.508 * [taylor]: Taking taylor expansion of k in k 2.508 * [taylor]: Taking taylor expansion of 1.0 in k 2.508 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.508 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.508 * [taylor]: Taking taylor expansion of 2.0 in k 2.508 * [taylor]: Taking taylor expansion of PI in k 2.512 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.512 * [taylor]: Taking taylor expansion of 0.5 in n 2.512 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.512 * [taylor]: Taking taylor expansion of k in n 2.512 * [taylor]: Taking taylor expansion of 1.0 in n 2.512 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.512 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.512 * [taylor]: Taking taylor expansion of -1 in n 2.512 * [taylor]: Taking taylor expansion of n in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.514 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.514 * [taylor]: Taking taylor expansion of 0.5 in n 2.514 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.514 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.514 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.514 * [taylor]: Taking taylor expansion of 2.0 in n 2.514 * [taylor]: Taking taylor expansion of PI in n 2.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.515 * [taylor]: Taking taylor expansion of k in n 2.515 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of 0 in n 2.535 * [taylor]: Taking taylor expansion of 0 in n 2.548 * [taylor]: Taking taylor expansion of 0 in n 2.550 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.550 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.550 * [taylor]: Taking taylor expansion of k in k 2.551 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.551 * [taylor]: Taking taylor expansion of 1.0 in k 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.551 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.551 * [taylor]: Taking taylor expansion of k in k 2.563 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.563 * [taylor]: Taking taylor expansion of 1.0 in k 2.563 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.563 * [taylor]: Taking taylor expansion of k in k 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.564 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.564 * [taylor]: Taking taylor expansion of k in k 2.574 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.574 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.574 * [taylor]: Taking taylor expansion of 1.0 in k 2.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.574 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.574 * [taylor]: Taking taylor expansion of -1 in k 2.574 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.576 * [taylor]: Taking taylor expansion of 1.0 in k 2.576 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.576 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.576 * [taylor]: Taking taylor expansion of -1 in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.587 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.588 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.588 * [taylor]: Taking taylor expansion of k in n 2.588 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.588 * [taylor]: Taking taylor expansion of 0.5 in n 2.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [taylor]: Taking taylor expansion of k in n 2.588 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.588 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.588 * [taylor]: Taking taylor expansion of 2.0 in n 2.588 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.590 * [taylor]: Taking taylor expansion of 0.5 in n 2.590 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.591 * [taylor]: Taking taylor expansion of 1.0 in n 2.591 * [taylor]: Taking taylor expansion of k in n 2.591 * [taylor]: Taking taylor expansion of (log n) in n 2.591 * [taylor]: Taking taylor expansion of n in n 2.591 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.591 * [taylor]: Taking taylor expansion of 1.0 in k 2.591 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.591 * [taylor]: Taking taylor expansion of k in k 2.593 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.593 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.593 * [taylor]: Taking taylor expansion of 0.5 in k 2.593 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.593 * [taylor]: Taking taylor expansion of 1.0 in k 2.593 * [taylor]: Taking taylor expansion of k in k 2.593 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.593 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.593 * [taylor]: Taking taylor expansion of 2.0 in k 2.593 * [taylor]: Taking taylor expansion of PI in k 2.597 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.597 * [taylor]: Taking taylor expansion of 0.5 in k 2.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.597 * [taylor]: Taking taylor expansion of 1.0 in k 2.597 * [taylor]: Taking taylor expansion of k in k 2.597 * [taylor]: Taking taylor expansion of (log n) in k 2.597 * [taylor]: Taking taylor expansion of n in k 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.598 * [taylor]: Taking taylor expansion of 1.0 in k 2.598 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.598 * [taylor]: Taking taylor expansion of k in k 2.599 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.600 * [taylor]: Taking taylor expansion of 0.5 in k 2.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.600 * [taylor]: Taking taylor expansion of 1.0 in k 2.600 * [taylor]: Taking taylor expansion of k in k 2.600 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.600 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.600 * [taylor]: Taking taylor expansion of 2.0 in k 2.600 * [taylor]: Taking taylor expansion of PI in k 2.604 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.604 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.604 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.604 * [taylor]: Taking taylor expansion of 0.5 in k 2.604 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.604 * [taylor]: Taking taylor expansion of 1.0 in k 2.604 * [taylor]: Taking taylor expansion of k in k 2.604 * [taylor]: Taking taylor expansion of (log n) in k 2.604 * [taylor]: Taking taylor expansion of n in k 2.607 * [taylor]: Taking taylor expansion of 0 in n 2.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.638 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.638 * [taylor]: Taking taylor expansion of +nan.0 in n 2.638 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.638 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.638 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.638 * [taylor]: Taking taylor expansion of 0.5 in n 2.638 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.638 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.638 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.638 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.638 * [taylor]: Taking taylor expansion of 1.0 in n 2.639 * [taylor]: Taking taylor expansion of (log PI) in n 2.639 * [taylor]: Taking taylor expansion of PI in n 2.640 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.640 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.640 * [taylor]: Taking taylor expansion of 1.0 in n 2.641 * [taylor]: Taking taylor expansion of (log n) in n 2.641 * [taylor]: Taking taylor expansion of n in n 2.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.641 * [taylor]: Taking taylor expansion of 1.0 in n 2.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.641 * [taylor]: Taking taylor expansion of 2.0 in n 2.689 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 2.689 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 2.689 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.689 * [taylor]: Taking taylor expansion of +nan.0 in n 2.689 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.689 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.689 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.689 * [taylor]: Taking taylor expansion of 2.0 in n 2.689 * [taylor]: Taking taylor expansion of PI in n 2.690 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.690 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.690 * [taylor]: Taking taylor expansion of 0.5 in n 2.690 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.690 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.690 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.690 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.690 * [taylor]: Taking taylor expansion of 1.0 in n 2.690 * [taylor]: Taking taylor expansion of (log PI) in n 2.690 * [taylor]: Taking taylor expansion of PI in n 2.692 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.692 * [taylor]: Taking taylor expansion of 1.0 in n 2.692 * [taylor]: Taking taylor expansion of (log n) in n 2.692 * [taylor]: Taking taylor expansion of n in n 2.693 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.693 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.693 * [taylor]: Taking taylor expansion of 1.0 in n 2.693 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.693 * [taylor]: Taking taylor expansion of 2.0 in n 2.698 * [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 n)))))) in n 2.698 * [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 n))))) in n 2.698 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.698 * [taylor]: Taking taylor expansion of +nan.0 in n 2.698 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.698 * [taylor]: Taking taylor expansion of 0.5 in n 2.698 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.699 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.699 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.699 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.699 * [taylor]: Taking taylor expansion of 1.0 in n 2.699 * [taylor]: Taking taylor expansion of (log PI) in n 2.699 * [taylor]: Taking taylor expansion of PI in n 2.700 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.701 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.701 * [taylor]: Taking taylor expansion of 1.0 in n 2.701 * [taylor]: Taking taylor expansion of (log n) in n 2.701 * [taylor]: Taking taylor expansion of n in n 2.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.701 * [taylor]: Taking taylor expansion of 1.0 in n 2.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.701 * [taylor]: Taking taylor expansion of 2.0 in n 2.713 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 2.713 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 2.713 * [taylor]: Taking taylor expansion of +nan.0 in n 2.713 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 2.713 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.713 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.713 * [taylor]: Taking taylor expansion of 0.5 in n 2.713 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.713 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.713 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.714 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.714 * [taylor]: Taking taylor expansion of 1.0 in n 2.714 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.714 * [taylor]: Taking taylor expansion of 2.0 in n 2.715 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.715 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.715 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.715 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.715 * [taylor]: Taking taylor expansion of 1.0 in n 2.715 * [taylor]: Taking taylor expansion of (log PI) in n 2.715 * [taylor]: Taking taylor expansion of PI in n 2.717 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.717 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.717 * [taylor]: Taking taylor expansion of 1.0 in n 2.717 * [taylor]: Taking taylor expansion of (log n) in n 2.717 * [taylor]: Taking taylor expansion of n in n 2.721 * [taylor]: Taking taylor expansion of (log n) in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.829 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 2.829 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 2.829 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.829 * [taylor]: Taking taylor expansion of +nan.0 in n 2.829 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.829 * [taylor]: Taking taylor expansion of 0.5 in n 2.829 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.829 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.829 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.829 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.829 * [taylor]: Taking taylor expansion of 1.0 in n 2.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.829 * [taylor]: Taking taylor expansion of 2.0 in n 2.831 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.831 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.831 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of (log n) in n 2.831 * [taylor]: Taking taylor expansion of n in n 2.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (log PI) in n 2.832 * [taylor]: Taking taylor expansion of PI in n 2.837 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 2.837 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 2.837 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.837 * [taylor]: Taking taylor expansion of +nan.0 in n 2.837 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.837 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.837 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.837 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.837 * [taylor]: Taking taylor expansion of 2.0 in n 2.837 * [taylor]: Taking taylor expansion of PI in n 2.838 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.838 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.838 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.838 * [taylor]: Taking taylor expansion of 0.5 in n 2.838 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.838 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.838 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.838 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.838 * [taylor]: Taking taylor expansion of 1.0 in n 2.839 * [taylor]: Taking taylor expansion of (log PI) in n 2.839 * [taylor]: Taking taylor expansion of PI in n 2.840 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.840 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.840 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.840 * [taylor]: Taking taylor expansion of 1.0 in n 2.840 * [taylor]: Taking taylor expansion of (log n) in n 2.840 * [taylor]: Taking taylor expansion of n in n 2.841 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.841 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.841 * [taylor]: Taking taylor expansion of 1.0 in n 2.841 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.841 * [taylor]: Taking taylor expansion of 2.0 in n 2.846 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 2.847 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 2.847 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 2.847 * [taylor]: Taking taylor expansion of +nan.0 in n 2.847 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 2.847 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.847 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.847 * [taylor]: Taking taylor expansion of 0.5 in n 2.847 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.847 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.847 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.847 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.847 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.847 * [taylor]: Taking taylor expansion of 2.0 in n 2.849 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.849 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.849 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.849 * [taylor]: Taking taylor expansion of 1.0 in n 2.849 * [taylor]: Taking taylor expansion of (log PI) in n 2.849 * [taylor]: Taking taylor expansion of PI in n 2.851 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.851 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.851 * [taylor]: Taking taylor expansion of 1.0 in n 2.851 * [taylor]: Taking taylor expansion of (log n) in n 2.851 * [taylor]: Taking taylor expansion of n in n 2.855 * [taylor]: Taking taylor expansion of (log n) in n 2.855 * [taylor]: Taking taylor expansion of n in n 2.855 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 2.855 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 2.855 * [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 n) 2))) in n 2.855 * [taylor]: Taking taylor expansion of +nan.0 in n 2.855 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 2.855 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.856 * [taylor]: Taking taylor expansion of 0.5 in n 2.856 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.856 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.856 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.856 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.856 * [taylor]: Taking taylor expansion of 1.0 in n 2.856 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.856 * [taylor]: Taking taylor expansion of 2.0 in n 2.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.858 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.858 * [taylor]: Taking taylor expansion of 1.0 in n 2.858 * [taylor]: Taking taylor expansion of (log PI) in n 2.858 * [taylor]: Taking taylor expansion of PI in n 2.859 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.859 * [taylor]: Taking taylor expansion of 1.0 in n 2.860 * [taylor]: Taking taylor expansion of (log n) in n 2.860 * [taylor]: Taking taylor expansion of n in n 2.864 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.864 * [taylor]: Taking taylor expansion of (log n) in n 2.864 * [taylor]: Taking taylor expansion of n in n 2.865 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 2.865 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 2.865 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.865 * [taylor]: Taking taylor expansion of +nan.0 in n 2.865 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.865 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.865 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.865 * [taylor]: Taking taylor expansion of 2.0 in n 2.865 * [taylor]: Taking taylor expansion of PI in n 2.866 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.866 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.866 * [taylor]: Taking taylor expansion of 0.5 in n 2.866 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.866 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.866 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.866 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.866 * [taylor]: Taking taylor expansion of 1.0 in n 2.866 * [taylor]: Taking taylor expansion of (log PI) in n 2.866 * [taylor]: Taking taylor expansion of PI in n 2.868 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.868 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.868 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.868 * [taylor]: Taking taylor expansion of 1.0 in n 2.868 * [taylor]: Taking taylor expansion of (log n) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.869 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.869 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.869 * [taylor]: Taking taylor expansion of 1.0 in n 2.869 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.869 * [taylor]: Taking taylor expansion of 2.0 in n 2.874 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 2.874 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 2.874 * [taylor]: Taking taylor expansion of +nan.0 in n 2.874 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 2.874 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 2.874 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.874 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.874 * [taylor]: Taking taylor expansion of 2.0 in n 2.874 * [taylor]: Taking taylor expansion of PI in n 2.875 * [taylor]: Taking taylor expansion of (log n) in n 2.875 * [taylor]: Taking taylor expansion of n in n 2.876 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.876 * [taylor]: Taking taylor expansion of 0.5 in n 2.876 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.876 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.876 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.876 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.876 * [taylor]: Taking taylor expansion of 1.0 in n 2.876 * [taylor]: Taking taylor expansion of (log PI) in n 2.876 * [taylor]: Taking taylor expansion of PI in n 2.878 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.878 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.878 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.878 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.878 * [taylor]: Taking taylor expansion of 1.0 in n 2.878 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.878 * [taylor]: Taking taylor expansion of 2.0 in n 2.880 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.880 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.880 * [taylor]: Taking taylor expansion of 1.0 in n 2.880 * [taylor]: Taking taylor expansion of (log n) in n 2.880 * [taylor]: Taking taylor expansion of n in n 2.997 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 2.998 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 2.998 * [taylor]: Taking taylor expansion of 1.0 in n 2.998 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.998 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.998 * [taylor]: Taking taylor expansion of k in n 2.998 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.998 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.998 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.998 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.998 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.998 * [taylor]: Taking taylor expansion of 0.5 in n 2.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.998 * [taylor]: Taking taylor expansion of 1.0 in n 2.998 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.998 * [taylor]: Taking taylor expansion of k in n 2.998 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.998 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.998 * [taylor]: Taking taylor expansion of n in n 2.999 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.999 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.999 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.999 * [taylor]: Taking taylor expansion of 0.5 in n 2.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.999 * [taylor]: Taking taylor expansion of 1.0 in n 2.999 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.999 * [taylor]: Taking taylor expansion of k in n 2.999 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.999 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.999 * [taylor]: Taking taylor expansion of 2.0 in n 2.999 * [taylor]: Taking taylor expansion of PI in n 3.002 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.002 * [taylor]: Taking taylor expansion of 1.0 in k 3.002 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.002 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.002 * [taylor]: Taking taylor expansion of k in k 3.003 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.003 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.003 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.003 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.003 * [taylor]: Taking taylor expansion of 0.5 in k 3.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.003 * [taylor]: Taking taylor expansion of 1.0 in k 3.003 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.003 * [taylor]: Taking taylor expansion of k in k 3.003 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.003 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.003 * [taylor]: Taking taylor expansion of n in k 3.004 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.004 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.004 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.004 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.004 * [taylor]: Taking taylor expansion of 0.5 in k 3.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.005 * [taylor]: Taking taylor expansion of 1.0 in k 3.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.005 * [taylor]: Taking taylor expansion of k in k 3.005 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.005 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.005 * [taylor]: Taking taylor expansion of 2.0 in k 3.005 * [taylor]: Taking taylor expansion of PI in k 3.008 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.008 * [taylor]: Taking taylor expansion of 1.0 in k 3.008 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.008 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.008 * [taylor]: Taking taylor expansion of k in k 3.009 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.009 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.009 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.009 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.010 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.010 * [taylor]: Taking taylor expansion of 0.5 in k 3.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.010 * [taylor]: Taking taylor expansion of 1.0 in k 3.010 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.010 * [taylor]: Taking taylor expansion of k in k 3.010 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.010 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.010 * [taylor]: Taking taylor expansion of n in k 3.011 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.011 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.011 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.011 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.011 * [taylor]: Taking taylor expansion of 0.5 in k 3.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.011 * [taylor]: Taking taylor expansion of 1.0 in k 3.011 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.011 * [taylor]: Taking taylor expansion of k in k 3.011 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.011 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.011 * [taylor]: Taking taylor expansion of 2.0 in k 3.011 * [taylor]: Taking taylor expansion of PI in k 3.017 * [taylor]: Taking taylor expansion of 0 in n 3.020 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.020 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.020 * [taylor]: Taking taylor expansion of +nan.0 in n 3.020 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.020 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.020 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.020 * [taylor]: Taking taylor expansion of 0.5 in n 3.020 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.020 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.020 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.020 * [taylor]: Taking taylor expansion of n in n 3.021 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.021 * [taylor]: Taking taylor expansion of 1.0 in n 3.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.021 * [taylor]: Taking taylor expansion of k in n 3.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.022 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.022 * [taylor]: Taking taylor expansion of 0.5 in n 3.022 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.022 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.022 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.022 * [taylor]: Taking taylor expansion of 2.0 in n 3.022 * [taylor]: Taking taylor expansion of PI in n 3.023 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.023 * [taylor]: Taking taylor expansion of 1.0 in n 3.023 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.023 * [taylor]: Taking taylor expansion of k in n 3.035 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.035 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.035 * [taylor]: Taking taylor expansion of +nan.0 in n 3.035 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.035 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.035 * [taylor]: Taking taylor expansion of 0.5 in n 3.035 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.035 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.035 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.035 * [taylor]: Taking taylor expansion of n in n 3.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.035 * [taylor]: Taking taylor expansion of 1.0 in n 3.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.035 * [taylor]: Taking taylor expansion of k in n 3.036 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.036 * [taylor]: Taking taylor expansion of 0.5 in n 3.036 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.036 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.036 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.036 * [taylor]: Taking taylor expansion of 2.0 in n 3.036 * [taylor]: Taking taylor expansion of PI in n 3.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.037 * [taylor]: Taking taylor expansion of 1.0 in n 3.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.037 * [taylor]: Taking taylor expansion of k in n 3.060 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.060 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.060 * [taylor]: Taking taylor expansion of +nan.0 in n 3.060 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.060 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.060 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.060 * [taylor]: Taking taylor expansion of 0.5 in n 3.060 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.060 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.060 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.060 * [taylor]: Taking taylor expansion of n in n 3.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.061 * [taylor]: Taking taylor expansion of 1.0 in n 3.061 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.061 * [taylor]: Taking taylor expansion of k in n 3.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.061 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.061 * [taylor]: Taking taylor expansion of 0.5 in n 3.061 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.062 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.062 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.062 * [taylor]: Taking taylor expansion of 2.0 in n 3.062 * [taylor]: Taking taylor expansion of PI in n 3.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.063 * [taylor]: Taking taylor expansion of 1.0 in n 3.063 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.063 * [taylor]: Taking taylor expansion of k in n 3.079 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.079 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.079 * [taylor]: Taking taylor expansion of 1.0 in n 3.079 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.079 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.079 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.079 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.079 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.079 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.080 * [taylor]: Taking taylor expansion of 0.5 in n 3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.080 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.080 * [taylor]: Taking taylor expansion of k in n 3.080 * [taylor]: Taking taylor expansion of 1.0 in n 3.080 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.080 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.080 * [taylor]: Taking taylor expansion of -1 in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.081 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 3.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 3.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.082 * [taylor]: Taking taylor expansion of 0.5 in n 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.082 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.082 * [taylor]: Taking taylor expansion of k in n 3.082 * [taylor]: Taking taylor expansion of 1.0 in n 3.082 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.082 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.082 * [taylor]: Taking taylor expansion of 2.0 in n 3.082 * [taylor]: Taking taylor expansion of PI in n 3.084 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.084 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.084 * [taylor]: Taking taylor expansion of -1 in n 3.084 * [taylor]: Taking taylor expansion of k in n 3.087 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.087 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.087 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.087 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.087 * [taylor]: Taking taylor expansion of 0.5 in k 3.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.087 * [taylor]: Taking taylor expansion of k in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.087 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.087 * [taylor]: Taking taylor expansion of -1 in k 3.087 * [taylor]: Taking taylor expansion of n in k 3.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.088 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.088 * [taylor]: Taking taylor expansion of 0.5 in k 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in k 3.088 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.088 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.088 * [taylor]: Taking taylor expansion of 2.0 in k 3.088 * [taylor]: Taking taylor expansion of PI in k 3.091 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.091 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.091 * [taylor]: Taking taylor expansion of -1 in k 3.092 * [taylor]: Taking taylor expansion of k in k 3.095 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.095 * [taylor]: Taking taylor expansion of 1.0 in k 3.095 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.095 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.095 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.095 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.095 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.095 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.095 * [taylor]: Taking taylor expansion of 0.5 in k 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.095 * [taylor]: Taking taylor expansion of k in k 3.095 * [taylor]: Taking taylor expansion of 1.0 in k 3.095 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.095 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.095 * [taylor]: Taking taylor expansion of -1 in k 3.095 * [taylor]: Taking taylor expansion of n in k 3.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.096 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.096 * [taylor]: Taking taylor expansion of 0.5 in k 3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.096 * [taylor]: Taking taylor expansion of k in k 3.096 * [taylor]: Taking taylor expansion of 1.0 in k 3.096 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.096 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.096 * [taylor]: Taking taylor expansion of 2.0 in k 3.096 * [taylor]: Taking taylor expansion of PI in k 3.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.100 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.100 * [taylor]: Taking taylor expansion of -1 in k 3.100 * [taylor]: Taking taylor expansion of k in k 3.103 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.103 * [taylor]: Taking taylor expansion of +nan.0 in n 3.103 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.103 * [taylor]: Taking taylor expansion of 0.5 in n 3.104 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.104 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.104 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.104 * [taylor]: Taking taylor expansion of k in n 3.104 * [taylor]: Taking taylor expansion of 1.0 in n 3.104 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.104 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.104 * [taylor]: Taking taylor expansion of -1 in n 3.104 * [taylor]: Taking taylor expansion of n in n 3.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.106 * [taylor]: Taking taylor expansion of 0.5 in n 3.106 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.106 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.106 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.106 * [taylor]: Taking taylor expansion of 2.0 in n 3.106 * [taylor]: Taking taylor expansion of PI in n 3.107 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.107 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.107 * [taylor]: Taking taylor expansion of k in n 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.118 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.118 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.119 * [taylor]: Taking taylor expansion of +nan.0 in n 3.119 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.119 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.119 * [taylor]: Taking taylor expansion of 0.5 in n 3.119 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.119 * [taylor]: Taking taylor expansion of k in n 3.119 * [taylor]: Taking taylor expansion of 1.0 in n 3.119 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.119 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.119 * [taylor]: Taking taylor expansion of -1 in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.121 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.121 * [taylor]: Taking taylor expansion of 0.5 in n 3.121 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.121 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.121 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.121 * [taylor]: Taking taylor expansion of 2.0 in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.122 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.122 * [taylor]: Taking taylor expansion of k in n 3.122 * [taylor]: Taking taylor expansion of 1.0 in n 3.148 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.148 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.148 * [taylor]: Taking taylor expansion of +nan.0 in n 3.148 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.148 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.148 * [taylor]: Taking taylor expansion of 0.5 in n 3.148 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.148 * [taylor]: Taking taylor expansion of k in n 3.148 * [taylor]: Taking taylor expansion of 1.0 in n 3.148 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.148 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.148 * [taylor]: Taking taylor expansion of -1 in n 3.148 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.150 * [taylor]: Taking taylor expansion of 0.5 in n 3.150 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.150 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.150 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.151 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.151 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.151 * [taylor]: Taking taylor expansion of k in n 3.151 * [taylor]: Taking taylor expansion of 1.0 in n 3.167 * * * [progress]: simplifying candidates 3.170 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (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) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) 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n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))))))) 3.184 * * [simplify]: iteration 0 : 1088 enodes (cost 2140 ) 3.202 * * [simplify]: iteration 1 : 4536 enodes (cost 1954 ) 3.281 * * [simplify]: iteration 2 : 5001 enodes (cost 1947 ) 3.290 * [simplify]: Simplified to: (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 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k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (+ (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))))) (- (+ (* 0.25 (* (* (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))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI)))))))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI)))) (+ (- (* +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)) (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 k 2) (log (* 2.0 PI))) (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 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 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 3.292 * * * [progress]: adding candidates to table 3.795 * * [progress]: iteration 4 / 4 3.795 * * * [progress]: picking best candidate 3.818 * * * * [pick]: Picked # 3.818 * * * [progress]: localizing error 3.836 * * * [progress]: generating rewritten candidates 3.836 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.856 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.871 * * * [progress]: generating series expansions 3.871 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.871 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 3.871 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.871 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.871 * [taylor]: Taking taylor expansion of 0.5 in k 3.871 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.871 * [taylor]: Taking taylor expansion of 1.0 in k 3.871 * [taylor]: Taking taylor expansion of k in k 3.871 * [taylor]: Taking taylor expansion of (log PI) in k 3.871 * [taylor]: Taking taylor expansion of PI in k 3.874 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.874 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.874 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.874 * [taylor]: Taking taylor expansion of 0.5 in k 3.874 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.874 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of k in k 3.874 * [taylor]: Taking taylor expansion of (log PI) in k 3.874 * [taylor]: Taking taylor expansion of PI in k 3.910 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.910 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.910 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.910 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.910 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.910 * [taylor]: Taking taylor expansion of 0.5 in k 3.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.910 * [taylor]: Taking taylor expansion of 1.0 in k 3.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.910 * [taylor]: Taking taylor expansion of k in k 3.910 * [taylor]: Taking taylor expansion of (log PI) in k 3.910 * [taylor]: Taking taylor expansion of PI in k 3.912 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.912 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.912 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.912 * [taylor]: Taking taylor expansion of 0.5 in k 3.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (log PI) in k 3.913 * [taylor]: Taking taylor expansion of PI in k 3.916 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.916 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.916 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.916 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.916 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.916 * [taylor]: Taking taylor expansion of 0.5 in k 3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.916 * [taylor]: Taking taylor expansion of k in k 3.916 * [taylor]: Taking taylor expansion of 1.0 in k 3.916 * [taylor]: Taking taylor expansion of (log PI) in k 3.916 * [taylor]: Taking taylor expansion of PI in k 3.918 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.918 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.918 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.918 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.918 * [taylor]: Taking taylor expansion of 0.5 in k 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.918 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.918 * [taylor]: Taking taylor expansion of k in k 3.918 * [taylor]: Taking taylor expansion of 1.0 in k 3.918 * [taylor]: Taking taylor expansion of (log PI) in k 3.918 * [taylor]: Taking taylor expansion of PI in k 3.921 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.921 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.921 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.921 * [taylor]: Taking taylor expansion of 1.0 in k 3.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.921 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.922 * [taylor]: Taking taylor expansion of 1.0 in k 3.922 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.933 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.933 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.933 * [taylor]: Taking taylor expansion of 1.0 in k 3.933 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.933 * [taylor]: Taking taylor expansion of k in k 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.934 * [taylor]: Taking taylor expansion of 1.0 in k 3.934 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.934 * [taylor]: Taking taylor expansion of k in k 3.944 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.944 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.944 * [taylor]: Taking taylor expansion of 1.0 in k 3.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.944 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.944 * [taylor]: Taking taylor expansion of -1 in k 3.944 * [taylor]: Taking taylor expansion of k in k 3.946 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.946 * [taylor]: Taking taylor expansion of 1.0 in k 3.946 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.946 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.946 * [taylor]: Taking taylor expansion of -1 in k 3.946 * [taylor]: Taking taylor expansion of k in k 3.958 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.958 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 3.958 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 3.958 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 3.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 3.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 3.958 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.958 * [taylor]: Taking taylor expansion of 0.5 in n 3.958 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.958 * [taylor]: Taking taylor expansion of 1.0 in n 3.958 * [taylor]: Taking taylor expansion of k in n 3.958 * [taylor]: Taking taylor expansion of (log PI) in n 3.958 * [taylor]: Taking taylor expansion of PI in n 3.959 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 3.959 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 3.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 3.959 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 3.959 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.959 * [taylor]: Taking taylor expansion of 0.5 in n 3.959 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.959 * [taylor]: Taking taylor expansion of 1.0 in n 3.959 * [taylor]: Taking taylor expansion of k in n 3.959 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.959 * [taylor]: Taking taylor expansion of 2.0 in n 3.966 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.966 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.966 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.966 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.966 * [taylor]: Taking taylor expansion of 0.5 in n 3.966 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.966 * [taylor]: Taking taylor expansion of 1.0 in n 3.966 * [taylor]: Taking taylor expansion of k in n 3.966 * [taylor]: Taking taylor expansion of (log n) in n 3.966 * [taylor]: Taking taylor expansion of n in n 3.967 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.967 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.967 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.967 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.967 * [taylor]: Taking taylor expansion of 0.5 in k 3.967 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.967 * [taylor]: Taking taylor expansion of 1.0 in k 3.967 * [taylor]: Taking taylor expansion of k in k 3.967 * [taylor]: Taking taylor expansion of (log PI) in k 3.967 * [taylor]: Taking taylor expansion of PI in k 3.969 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.969 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 3.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 3.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 3.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.970 * [taylor]: Taking taylor expansion of 0.5 in k 3.970 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.970 * [taylor]: Taking taylor expansion of 1.0 in k 3.970 * [taylor]: Taking taylor expansion of k in k 3.970 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.970 * [taylor]: Taking taylor expansion of 2.0 in k 3.972 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.972 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.972 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.972 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.972 * [taylor]: Taking taylor expansion of 0.5 in k 3.972 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.972 * [taylor]: Taking taylor expansion of 1.0 in k 3.972 * [taylor]: Taking taylor expansion of k in k 3.972 * [taylor]: Taking taylor expansion of (log n) in k 3.972 * [taylor]: Taking taylor expansion of n in k 3.973 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.973 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.973 * [taylor]: Taking taylor expansion of 0.5 in k 3.973 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.973 * [taylor]: Taking taylor expansion of 1.0 in k 3.973 * [taylor]: Taking taylor expansion of k in k 3.973 * [taylor]: Taking taylor expansion of (log PI) in k 3.973 * [taylor]: Taking taylor expansion of PI in k 3.976 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.976 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 3.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 3.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 3.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.976 * [taylor]: Taking taylor expansion of 0.5 in k 3.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.976 * [taylor]: Taking taylor expansion of 1.0 in k 3.976 * [taylor]: Taking taylor expansion of k in k 3.976 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.976 * [taylor]: Taking taylor expansion of 2.0 in k 3.978 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.978 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.978 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.978 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.978 * [taylor]: Taking taylor expansion of 0.5 in k 3.978 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.979 * [taylor]: Taking taylor expansion of 1.0 in k 3.979 * [taylor]: Taking taylor expansion of k in k 3.979 * [taylor]: Taking taylor expansion of (log n) in k 3.979 * [taylor]: Taking taylor expansion of n in k 3.981 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.981 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.981 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.981 * [taylor]: Taking taylor expansion of 0.5 in n 3.981 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.981 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.981 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.981 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.981 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.981 * [taylor]: Taking taylor expansion of 1.0 in n 3.981 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.981 * [taylor]: Taking taylor expansion of 2.0 in n 3.982 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.982 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.983 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.983 * [taylor]: Taking taylor expansion of 1.0 in n 3.983 * [taylor]: Taking taylor expansion of (log n) in n 3.983 * [taylor]: Taking taylor expansion of n in n 3.983 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.983 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.983 * [taylor]: Taking taylor expansion of 1.0 in n 3.983 * [taylor]: Taking taylor expansion of (log PI) in n 3.983 * [taylor]: Taking taylor expansion of PI in n 4.016 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.016 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.016 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 4.016 * [taylor]: Taking taylor expansion of 0.5 in n 4.016 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 4.016 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.016 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.016 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.016 * [taylor]: Taking taylor expansion of 0.5 in n 4.016 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.016 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.017 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.017 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.017 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.017 * [taylor]: Taking taylor expansion of 1.0 in n 4.017 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.017 * [taylor]: Taking taylor expansion of 2.0 in n 4.018 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.018 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.018 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.018 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.018 * [taylor]: Taking taylor expansion of 1.0 in n 4.018 * [taylor]: Taking taylor expansion of (log n) in n 4.018 * [taylor]: Taking taylor expansion of n in n 4.019 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.019 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.019 * [taylor]: Taking taylor expansion of 1.0 in n 4.019 * [taylor]: Taking taylor expansion of (log PI) in n 4.019 * [taylor]: Taking taylor expansion of PI in n 4.024 * [taylor]: Taking taylor expansion of (log PI) in n 4.024 * [taylor]: Taking taylor expansion of PI in n 4.025 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.025 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.025 * [taylor]: Taking taylor expansion of 0.5 in n 4.025 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.025 * [taylor]: Taking taylor expansion of (log n) in n 4.025 * [taylor]: Taking taylor expansion of n in n 4.025 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.025 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.025 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.025 * [taylor]: Taking taylor expansion of 0.5 in n 4.025 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.025 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.025 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.025 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.025 * [taylor]: Taking taylor expansion of 1.0 in n 4.025 * [taylor]: Taking taylor expansion of (log PI) in n 4.025 * [taylor]: Taking taylor expansion of PI in n 4.027 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.027 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.027 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.027 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.027 * [taylor]: Taking taylor expansion of 1.0 in n 4.027 * [taylor]: Taking taylor expansion of (log n) in n 4.027 * [taylor]: Taking taylor expansion of n in n 4.028 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.028 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.028 * [taylor]: Taking taylor expansion of 1.0 in n 4.028 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.028 * [taylor]: Taking taylor expansion of 2.0 in n 4.033 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.033 * [taylor]: Taking taylor expansion of 0.5 in n 4.033 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.033 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.033 * [taylor]: Taking taylor expansion of 2.0 in n 4.033 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.033 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.033 * [taylor]: Taking taylor expansion of 0.5 in n 4.033 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.033 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.034 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.034 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.034 * [taylor]: Taking taylor expansion of 1.0 in n 4.034 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.034 * [taylor]: Taking taylor expansion of 2.0 in n 4.035 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.035 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.035 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.035 * [taylor]: Taking taylor expansion of 1.0 in n 4.035 * [taylor]: Taking taylor expansion of (log n) in n 4.035 * [taylor]: Taking taylor expansion of n in n 4.036 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.036 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.036 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.036 * [taylor]: Taking taylor expansion of 1.0 in n 4.036 * [taylor]: Taking taylor expansion of (log PI) in n 4.036 * [taylor]: Taking taylor expansion of PI in n 4.112 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 4.112 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 4.112 * [taylor]: Taking taylor expansion of 0.25 in n 4.112 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 4.112 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 4.112 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.112 * [taylor]: Taking taylor expansion of 2.0 in n 4.113 * [taylor]: Taking taylor expansion of (log n) in n 4.113 * [taylor]: Taking taylor expansion of n in n 4.113 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.113 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.113 * [taylor]: Taking taylor expansion of 0.5 in n 4.113 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.113 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.113 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.113 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.113 * [taylor]: Taking taylor expansion of 1.0 in n 4.113 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.113 * [taylor]: Taking taylor expansion of 2.0 in n 4.115 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.115 * [taylor]: Taking taylor expansion of 1.0 in n 4.115 * [taylor]: Taking taylor expansion of (log PI) in n 4.115 * [taylor]: Taking taylor expansion of PI in n 4.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.117 * [taylor]: Taking taylor expansion of 1.0 in n 4.117 * [taylor]: Taking taylor expansion of (log n) in n 4.117 * [taylor]: Taking taylor expansion of n in n 4.121 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 4.121 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 4.121 * [taylor]: Taking taylor expansion of 0.25 in n 4.121 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 4.121 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.121 * [taylor]: Taking taylor expansion of 0.5 in n 4.121 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.121 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.121 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.121 * [taylor]: Taking taylor expansion of 1.0 in n 4.121 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.121 * [taylor]: Taking taylor expansion of 2.0 in n 4.123 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.123 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.123 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.123 * [taylor]: Taking taylor expansion of 1.0 in n 4.123 * [taylor]: Taking taylor expansion of (log PI) in n 4.123 * [taylor]: Taking taylor expansion of PI in n 4.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.125 * [taylor]: Taking taylor expansion of 1.0 in n 4.125 * [taylor]: Taking taylor expansion of (log n) in n 4.125 * [taylor]: Taking taylor expansion of n in n 4.129 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.129 * [taylor]: Taking taylor expansion of (log n) in n 4.129 * [taylor]: Taking taylor expansion of n in n 4.129 * [taylor]: Taking taylor expansion of (log PI) in n 4.129 * [taylor]: Taking taylor expansion of PI in n 4.130 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 4.130 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.130 * [taylor]: Taking taylor expansion of 0.25 in n 4.130 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.130 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 4.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.130 * [taylor]: Taking taylor expansion of 2.0 in n 4.130 * [taylor]: Taking taylor expansion of (log PI) in n 4.130 * [taylor]: Taking taylor expansion of PI in n 4.130 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.130 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.130 * [taylor]: Taking taylor expansion of 0.5 in n 4.130 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.130 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.130 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.130 * [taylor]: Taking taylor expansion of 1.0 in n 4.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.130 * [taylor]: Taking taylor expansion of 2.0 in n 4.132 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.132 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.132 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.132 * [taylor]: Taking taylor expansion of 1.0 in n 4.132 * [taylor]: Taking taylor expansion of (log n) in n 4.132 * [taylor]: Taking taylor expansion of n in n 4.133 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.133 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.133 * [taylor]: Taking taylor expansion of 1.0 in n 4.133 * [taylor]: Taking taylor expansion of (log PI) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.145 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 4.145 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.145 * [taylor]: Taking taylor expansion of 0.125 in n 4.145 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.145 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 4.145 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.145 * [taylor]: Taking taylor expansion of 2.0 in n 4.146 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.146 * [taylor]: Taking taylor expansion of 0.5 in n 4.146 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.146 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.146 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.146 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.146 * [taylor]: Taking taylor expansion of 1.0 in n 4.146 * [taylor]: Taking taylor expansion of (log PI) in n 4.146 * [taylor]: Taking taylor expansion of PI in n 4.148 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.148 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.148 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.148 * [taylor]: Taking taylor expansion of 1.0 in n 4.148 * [taylor]: Taking taylor expansion of (log n) in n 4.148 * [taylor]: Taking taylor expansion of n in n 4.148 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.148 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.149 * [taylor]: Taking taylor expansion of 1.0 in n 4.149 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.149 * [taylor]: Taking taylor expansion of 2.0 in n 4.154 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 4.154 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 4.154 * [taylor]: Taking taylor expansion of 0.125 in n 4.154 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 4.154 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.154 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.154 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.154 * [taylor]: Taking taylor expansion of 0.5 in n 4.154 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.154 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.154 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.154 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.154 * [taylor]: Taking taylor expansion of 1.0 in n 4.154 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.154 * [taylor]: Taking taylor expansion of 2.0 in n 4.156 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.156 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.156 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.156 * [taylor]: Taking taylor expansion of 1.0 in n 4.156 * [taylor]: Taking taylor expansion of (log n) in n 4.156 * [taylor]: Taking taylor expansion of n in n 4.157 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.157 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.157 * [taylor]: Taking taylor expansion of 1.0 in n 4.157 * [taylor]: Taking taylor expansion of (log PI) in n 4.157 * [taylor]: Taking taylor expansion of PI in n 4.162 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.162 * [taylor]: Taking taylor expansion of (log PI) in n 4.162 * [taylor]: Taking taylor expansion of PI in n 4.163 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 4.163 * [taylor]: Taking taylor expansion of 0.125 in n 4.163 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.163 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.163 * [taylor]: Taking taylor expansion of 0.5 in n 4.163 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.163 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.163 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.163 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.163 * [taylor]: Taking taylor expansion of 1.0 in n 4.163 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.163 * [taylor]: Taking taylor expansion of 2.0 in n 4.165 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.165 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.165 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.165 * [taylor]: Taking taylor expansion of 1.0 in n 4.165 * [taylor]: Taking taylor expansion of (log PI) in n 4.165 * [taylor]: Taking taylor expansion of PI in n 4.166 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.167 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.167 * [taylor]: Taking taylor expansion of 1.0 in n 4.167 * [taylor]: Taking taylor expansion of (log n) in n 4.167 * [taylor]: Taking taylor expansion of n in n 4.171 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.171 * [taylor]: Taking taylor expansion of (log n) in n 4.171 * [taylor]: Taking taylor expansion of n in n 4.246 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.246 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.246 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 4.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 4.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 4.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.246 * [taylor]: Taking taylor expansion of 0.5 in n 4.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.246 * [taylor]: Taking taylor expansion of 1.0 in n 4.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.246 * [taylor]: Taking taylor expansion of k in n 4.246 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.246 * [taylor]: Taking taylor expansion of 2.0 in n 4.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.247 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.247 * [taylor]: Taking taylor expansion of 0.5 in n 4.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.247 * [taylor]: Taking taylor expansion of 1.0 in n 4.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.247 * [taylor]: Taking taylor expansion of k in n 4.247 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.247 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.247 * [taylor]: Taking taylor expansion of n in n 4.248 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.249 * [taylor]: Taking taylor expansion of 0.5 in n 4.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.249 * [taylor]: Taking taylor expansion of 1.0 in n 4.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.249 * [taylor]: Taking taylor expansion of k in n 4.249 * [taylor]: Taking taylor expansion of (log PI) in n 4.249 * [taylor]: Taking taylor expansion of PI in n 4.250 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.250 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.250 * [taylor]: Taking taylor expansion of 0.5 in k 4.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.250 * [taylor]: Taking taylor expansion of 1.0 in k 4.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.250 * [taylor]: Taking taylor expansion of k in k 4.250 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.250 * [taylor]: Taking taylor expansion of 2.0 in k 4.252 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.252 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.252 * [taylor]: Taking taylor expansion of 0.5 in k 4.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.252 * [taylor]: Taking taylor expansion of 1.0 in k 4.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.252 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.252 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.252 * [taylor]: Taking taylor expansion of n in k 4.253 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.253 * [taylor]: Taking taylor expansion of 0.5 in k 4.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.253 * [taylor]: Taking taylor expansion of 1.0 in k 4.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.253 * [taylor]: Taking taylor expansion of k in k 4.254 * [taylor]: Taking taylor expansion of (log PI) in k 4.254 * [taylor]: Taking taylor expansion of PI in k 4.256 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.256 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.256 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.256 * [taylor]: Taking taylor expansion of 0.5 in k 4.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.256 * [taylor]: Taking taylor expansion of 1.0 in k 4.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.256 * [taylor]: Taking taylor expansion of k in k 4.256 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.256 * [taylor]: Taking taylor expansion of 2.0 in k 4.258 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.258 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.258 * [taylor]: Taking taylor expansion of 0.5 in k 4.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.258 * [taylor]: Taking taylor expansion of 1.0 in k 4.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.258 * [taylor]: Taking taylor expansion of k in k 4.259 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.259 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.259 * [taylor]: Taking taylor expansion of n in k 4.259 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.260 * [taylor]: Taking taylor expansion of 0.5 in k 4.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.260 * [taylor]: Taking taylor expansion of 1.0 in k 4.260 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.260 * [taylor]: Taking taylor expansion of k in k 4.260 * [taylor]: Taking taylor expansion of (log PI) in k 4.260 * [taylor]: Taking taylor expansion of PI in k 4.263 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.263 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.263 * [taylor]: Taking taylor expansion of 0.5 in n 4.263 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.263 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.263 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.263 * [taylor]: Taking taylor expansion of n in n 4.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.264 * [taylor]: Taking taylor expansion of 1.0 in n 4.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.264 * [taylor]: Taking taylor expansion of k in n 4.264 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 4.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.264 * [taylor]: Taking taylor expansion of 0.5 in n 4.264 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.264 * [taylor]: Taking taylor expansion of (log PI) in n 4.264 * [taylor]: Taking taylor expansion of PI in n 4.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.265 * [taylor]: Taking taylor expansion of 1.0 in n 4.265 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.265 * [taylor]: Taking taylor expansion of k in n 4.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 4.266 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 4.266 * [taylor]: Taking taylor expansion of 0.5 in n 4.266 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 4.266 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.266 * [taylor]: Taking taylor expansion of 2.0 in n 4.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.266 * [taylor]: Taking taylor expansion of 1.0 in n 4.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.266 * [taylor]: Taking taylor expansion of k in n 4.271 * [taylor]: Taking taylor expansion of 0 in n 4.283 * [taylor]: Taking taylor expansion of 0 in n 4.300 * [taylor]: Taking taylor expansion of 0 in n 4.301 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.301 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.301 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.301 * [taylor]: Taking taylor expansion of 0.5 in n 4.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.301 * [taylor]: Taking taylor expansion of k in n 4.302 * [taylor]: Taking taylor expansion of 1.0 in n 4.302 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.302 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.302 * [taylor]: Taking taylor expansion of -1 in n 4.302 * [taylor]: Taking taylor expansion of n in n 4.304 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.304 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 4.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 4.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 4.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.304 * [taylor]: Taking taylor expansion of 0.5 in n 4.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.304 * [taylor]: Taking taylor expansion of k in n 4.304 * [taylor]: Taking taylor expansion of 1.0 in n 4.304 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.304 * [taylor]: Taking taylor expansion of 2.0 in n 4.305 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.305 * [taylor]: Taking taylor expansion of 0.5 in n 4.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.305 * [taylor]: Taking taylor expansion of k in n 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [taylor]: Taking taylor expansion of (log PI) in n 4.305 * [taylor]: Taking taylor expansion of PI in n 4.306 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.306 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.306 * [taylor]: Taking taylor expansion of 0.5 in k 4.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.306 * [taylor]: Taking taylor expansion of k in k 4.306 * [taylor]: Taking taylor expansion of 1.0 in k 4.306 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.306 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.306 * [taylor]: Taking taylor expansion of -1 in k 4.306 * [taylor]: Taking taylor expansion of n in k 4.307 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.307 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.307 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.307 * [taylor]: Taking taylor expansion of 0.5 in k 4.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.307 * [taylor]: Taking taylor expansion of k in k 4.308 * [taylor]: Taking taylor expansion of 1.0 in k 4.308 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.308 * [taylor]: Taking taylor expansion of 2.0 in k 4.309 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.309 * [taylor]: Taking taylor expansion of 0.5 in k 4.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.310 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.310 * [taylor]: Taking taylor expansion of k in k 4.310 * [taylor]: Taking taylor expansion of 1.0 in k 4.310 * [taylor]: Taking taylor expansion of (log PI) in k 4.310 * [taylor]: Taking taylor expansion of PI in k 4.311 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.312 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.312 * [taylor]: Taking taylor expansion of 0.5 in k 4.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.312 * [taylor]: Taking taylor expansion of k in k 4.312 * [taylor]: Taking taylor expansion of 1.0 in k 4.312 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.312 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.312 * [taylor]: Taking taylor expansion of -1 in k 4.312 * [taylor]: Taking taylor expansion of n in k 4.313 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.313 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.313 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.313 * [taylor]: Taking taylor expansion of 0.5 in k 4.313 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.313 * [taylor]: Taking taylor expansion of 2.0 in k 4.315 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.315 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.315 * [taylor]: Taking taylor expansion of 0.5 in k 4.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.315 * [taylor]: Taking taylor expansion of k in k 4.315 * [taylor]: Taking taylor expansion of 1.0 in k 4.315 * [taylor]: Taking taylor expansion of (log PI) in k 4.315 * [taylor]: Taking taylor expansion of PI in k 4.318 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 4.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.318 * [taylor]: Taking taylor expansion of 0.5 in n 4.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.319 * [taylor]: Taking taylor expansion of k in n 4.319 * [taylor]: Taking taylor expansion of 1.0 in n 4.319 * [taylor]: Taking taylor expansion of (log PI) in n 4.319 * [taylor]: Taking taylor expansion of PI in n 4.320 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 4.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.320 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.320 * [taylor]: Taking taylor expansion of 0.5 in n 4.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.320 * [taylor]: Taking taylor expansion of k in n 4.320 * [taylor]: Taking taylor expansion of 1.0 in n 4.320 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.320 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.320 * [taylor]: Taking taylor expansion of -1 in n 4.320 * [taylor]: Taking taylor expansion of n in n 4.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 4.327 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 4.327 * [taylor]: Taking taylor expansion of 0.5 in n 4.327 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 4.327 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.327 * [taylor]: Taking taylor expansion of 2.0 in n 4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.328 * [taylor]: Taking taylor expansion of k in n 4.328 * [taylor]: Taking taylor expansion of 1.0 in n 4.333 * [taylor]: Taking taylor expansion of 0 in n 4.346 * [taylor]: Taking taylor expansion of 0 in n 4.364 * [taylor]: Taking taylor expansion of 0 in n 4.365 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.365 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.365 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.365 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.365 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.365 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.365 * [taylor]: Taking taylor expansion of 0.5 in n 4.365 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.365 * [taylor]: Taking taylor expansion of 1.0 in n 4.365 * [taylor]: Taking taylor expansion of k in n 4.365 * [taylor]: Taking taylor expansion of (log PI) in n 4.365 * [taylor]: Taking taylor expansion of PI in n 4.366 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.366 * [taylor]: Taking taylor expansion of 0.5 in n 4.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.366 * [taylor]: Taking taylor expansion of 1.0 in n 4.366 * [taylor]: Taking taylor expansion of k in n 4.366 * [taylor]: Taking taylor expansion of (log n) in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.367 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.367 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.367 * [taylor]: Taking taylor expansion of 0.5 in k 4.367 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.367 * [taylor]: Taking taylor expansion of 1.0 in k 4.367 * [taylor]: Taking taylor expansion of k in k 4.367 * [taylor]: Taking taylor expansion of (log PI) in k 4.367 * [taylor]: Taking taylor expansion of PI in k 4.370 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.370 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.370 * [taylor]: Taking taylor expansion of 0.5 in k 4.370 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.370 * [taylor]: Taking taylor expansion of 1.0 in k 4.370 * [taylor]: Taking taylor expansion of k in k 4.370 * [taylor]: Taking taylor expansion of (log n) in k 4.370 * [taylor]: Taking taylor expansion of n in k 4.371 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.371 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.371 * [taylor]: Taking taylor expansion of 0.5 in k 4.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.371 * [taylor]: Taking taylor expansion of 1.0 in k 4.371 * [taylor]: Taking taylor expansion of k in k 4.371 * [taylor]: Taking taylor expansion of (log PI) in k 4.371 * [taylor]: Taking taylor expansion of PI in k 4.373 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.374 * [taylor]: Taking taylor expansion of 0.5 in k 4.374 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.374 * [taylor]: Taking taylor expansion of 1.0 in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.374 * [taylor]: Taking taylor expansion of (log n) in k 4.374 * [taylor]: Taking taylor expansion of n in k 4.375 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.375 * [taylor]: Taking taylor expansion of 0.5 in n 4.375 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.375 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.375 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.375 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.375 * [taylor]: Taking taylor expansion of 1.0 in n 4.375 * [taylor]: Taking taylor expansion of (log n) in n 4.375 * [taylor]: Taking taylor expansion of n in n 4.376 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.376 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.376 * [taylor]: Taking taylor expansion of 1.0 in n 4.376 * [taylor]: Taking taylor expansion of (log PI) in n 4.376 * [taylor]: Taking taylor expansion of PI in n 4.394 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))))) in n 4.394 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))) in n 4.394 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.394 * [taylor]: Taking taylor expansion of 0.5 in n 4.394 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.394 * [taylor]: Taking taylor expansion of (log n) in n 4.394 * [taylor]: Taking taylor expansion of n in n 4.395 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.395 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.395 * [taylor]: Taking taylor expansion of 0.5 in n 4.395 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.395 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.395 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log n) in n 4.395 * [taylor]: Taking taylor expansion of n in n 4.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log PI) in n 4.395 * [taylor]: Taking taylor expansion of PI in n 4.399 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))) in n 4.399 * [taylor]: Taking taylor expansion of 0.5 in n 4.399 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)) in n 4.399 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.399 * [taylor]: Taking taylor expansion of 0.5 in n 4.399 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.399 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.399 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.399 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.399 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [taylor]: Taking taylor expansion of (log n) in n 4.400 * [taylor]: Taking taylor expansion of n in n 4.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.400 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [taylor]: Taking taylor expansion of (log PI) in n 4.400 * [taylor]: Taking taylor expansion of PI in n 4.404 * [taylor]: Taking taylor expansion of (log PI) in n 4.404 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) in n 4.443 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.443 * [taylor]: Taking taylor expansion of 0.25 in n 4.443 * [taylor]: Taking taylor expansion of (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.443 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.443 * [taylor]: Taking taylor expansion of (log n) in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [taylor]: Taking taylor expansion of (log PI) in n 4.443 * [taylor]: Taking taylor expansion of PI in n 4.444 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.444 * [taylor]: Taking taylor expansion of 0.5 in n 4.444 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.444 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.444 * [taylor]: Taking taylor expansion of 1.0 in n 4.444 * [taylor]: Taking taylor expansion of (log n) in n 4.444 * [taylor]: Taking taylor expansion of n in n 4.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.445 * [taylor]: Taking taylor expansion of 1.0 in n 4.445 * [taylor]: Taking taylor expansion of (log PI) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.448 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))) in n 4.448 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.448 * [taylor]: Taking taylor expansion of 0.125 in n 4.448 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.448 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.448 * [taylor]: Taking taylor expansion of (log n) in n 4.448 * [taylor]: Taking taylor expansion of n in n 4.449 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.449 * [taylor]: Taking taylor expansion of 0.5 in n 4.449 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.449 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.449 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.449 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.449 * [taylor]: Taking taylor expansion of 1.0 in n 4.449 * [taylor]: Taking taylor expansion of (log n) in n 4.449 * [taylor]: Taking taylor expansion of n in n 4.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.450 * [taylor]: Taking taylor expansion of 1.0 in n 4.450 * [taylor]: Taking taylor expansion of (log PI) in n 4.450 * [taylor]: Taking taylor expansion of PI in n 4.453 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) in n 4.453 * [taylor]: Taking taylor expansion of 0.125 in n 4.453 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)) in n 4.453 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.453 * [taylor]: Taking taylor expansion of 0.5 in n 4.453 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.453 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.454 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.454 * [taylor]: Taking taylor expansion of 1.0 in n 4.454 * [taylor]: Taking taylor expansion of (log n) in n 4.454 * [taylor]: Taking taylor expansion of n in n 4.454 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.454 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.454 * [taylor]: Taking taylor expansion of 1.0 in n 4.454 * [taylor]: Taking taylor expansion of (log PI) in n 4.454 * [taylor]: Taking taylor expansion of PI in n 4.458 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.458 * [taylor]: Taking taylor expansion of (log PI) in n 4.458 * [taylor]: Taking taylor expansion of PI in n 4.477 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.477 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.477 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.477 * [taylor]: Taking taylor expansion of 0.5 in n 4.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.478 * [taylor]: Taking taylor expansion of 1.0 in n 4.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.478 * [taylor]: Taking taylor expansion of k in n 4.478 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.478 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.478 * [taylor]: Taking taylor expansion of n in n 4.479 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.479 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.479 * [taylor]: Taking taylor expansion of 0.5 in n 4.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.479 * [taylor]: Taking taylor expansion of 1.0 in n 4.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.479 * [taylor]: Taking taylor expansion of k in n 4.479 * [taylor]: Taking taylor expansion of (log PI) in n 4.479 * [taylor]: Taking taylor expansion of PI in n 4.480 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.480 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.480 * [taylor]: Taking taylor expansion of 0.5 in k 4.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.480 * [taylor]: Taking taylor expansion of 1.0 in k 4.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.480 * [taylor]: Taking taylor expansion of k in k 4.480 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.480 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.480 * [taylor]: Taking taylor expansion of n in k 4.481 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.481 * [taylor]: Taking taylor expansion of 0.5 in k 4.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.481 * [taylor]: Taking taylor expansion of 1.0 in k 4.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.481 * [taylor]: Taking taylor expansion of k in k 4.482 * [taylor]: Taking taylor expansion of (log PI) in k 4.482 * [taylor]: Taking taylor expansion of PI in k 4.484 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.484 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.484 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.484 * [taylor]: Taking taylor expansion of 0.5 in k 4.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.484 * [taylor]: Taking taylor expansion of 1.0 in k 4.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.484 * [taylor]: Taking taylor expansion of k in k 4.484 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.484 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.484 * [taylor]: Taking taylor expansion of n in k 4.485 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.485 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.485 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.485 * [taylor]: Taking taylor expansion of 0.5 in k 4.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.485 * [taylor]: Taking taylor expansion of 1.0 in k 4.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.485 * [taylor]: Taking taylor expansion of k in k 4.485 * [taylor]: Taking taylor expansion of (log PI) in k 4.485 * [taylor]: Taking taylor expansion of PI in k 4.488 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 4.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.488 * [taylor]: Taking taylor expansion of 0.5 in n 4.488 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.488 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.488 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.488 * [taylor]: Taking taylor expansion of n in n 4.489 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.489 * [taylor]: Taking taylor expansion of 1.0 in n 4.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.489 * [taylor]: Taking taylor expansion of k in n 4.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.490 * [taylor]: Taking taylor expansion of 0.5 in n 4.490 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.490 * [taylor]: Taking taylor expansion of (log PI) in n 4.490 * [taylor]: Taking taylor expansion of PI in n 4.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.490 * [taylor]: Taking taylor expansion of 1.0 in n 4.490 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.490 * [taylor]: Taking taylor expansion of k in n 4.492 * [taylor]: Taking taylor expansion of 0 in n 4.499 * [taylor]: Taking taylor expansion of 0 in n 4.516 * [taylor]: Taking taylor expansion of 0 in n 4.517 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.517 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.517 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.517 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.517 * [taylor]: Taking taylor expansion of 0.5 in n 4.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.517 * [taylor]: Taking taylor expansion of k in n 4.517 * [taylor]: Taking taylor expansion of 1.0 in n 4.517 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.517 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.517 * [taylor]: Taking taylor expansion of -1 in n 4.517 * [taylor]: Taking taylor expansion of n in n 4.519 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.519 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.519 * [taylor]: Taking taylor expansion of 0.5 in n 4.519 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.519 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.519 * [taylor]: Taking taylor expansion of k in n 4.519 * [taylor]: Taking taylor expansion of 1.0 in n 4.519 * [taylor]: Taking taylor expansion of (log PI) in n 4.519 * [taylor]: Taking taylor expansion of PI in n 4.520 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.520 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.520 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.520 * [taylor]: Taking taylor expansion of 0.5 in k 4.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.520 * [taylor]: Taking taylor expansion of k in k 4.520 * [taylor]: Taking taylor expansion of 1.0 in k 4.520 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.520 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.520 * [taylor]: Taking taylor expansion of -1 in k 4.520 * [taylor]: Taking taylor expansion of n in k 4.521 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.521 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.521 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.521 * [taylor]: Taking taylor expansion of 0.5 in k 4.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.521 * [taylor]: Taking taylor expansion of k in k 4.522 * [taylor]: Taking taylor expansion of 1.0 in k 4.522 * [taylor]: Taking taylor expansion of (log PI) in k 4.522 * [taylor]: Taking taylor expansion of PI in k 4.523 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.523 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.523 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.523 * [taylor]: Taking taylor expansion of 0.5 in k 4.523 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.523 * [taylor]: Taking taylor expansion of k in k 4.524 * [taylor]: Taking taylor expansion of 1.0 in k 4.524 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.524 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.524 * [taylor]: Taking taylor expansion of -1 in k 4.524 * [taylor]: Taking taylor expansion of n in k 4.524 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.525 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.525 * [taylor]: Taking taylor expansion of 0.5 in k 4.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.525 * [taylor]: Taking taylor expansion of k in k 4.525 * [taylor]: Taking taylor expansion of 1.0 in k 4.525 * [taylor]: Taking taylor expansion of (log PI) in k 4.525 * [taylor]: Taking taylor expansion of PI in k 4.527 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 4.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.527 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.527 * [taylor]: Taking taylor expansion of 0.5 in n 4.527 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.527 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.527 * [taylor]: Taking taylor expansion of k in n 4.527 * [taylor]: Taking taylor expansion of 1.0 in n 4.527 * [taylor]: Taking taylor expansion of (log PI) in n 4.527 * [taylor]: Taking taylor expansion of PI in n 4.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.529 * [taylor]: Taking taylor expansion of 0.5 in n 4.529 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.529 * [taylor]: Taking taylor expansion of k in n 4.529 * [taylor]: Taking taylor expansion of 1.0 in n 4.529 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.529 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.529 * [taylor]: Taking taylor expansion of -1 in n 4.529 * [taylor]: Taking taylor expansion of n in n 4.533 * [taylor]: Taking taylor expansion of 0 in n 4.540 * [taylor]: Taking taylor expansion of 0 in n 4.552 * [taylor]: Taking taylor expansion of 0 in n 4.552 * * * [progress]: simplifying candidates 4.555 * [simplify]: Simplifying using # : (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (- (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 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(pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5))) (* 0.5 (* (* k (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))))) (* (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) 4.567 * * [simplify]: iteration 0 : 995 enodes (cost 1807 ) 4.584 * * [simplify]: iteration 1 : 4090 enodes (cost 1569 ) 4.653 * * [simplify]: iteration 2 : 5002 enodes (cost 1555 ) 4.661 * [simplify]: Simplified to: (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (* (/ (- 1.0 k) 2.0) (+ (log 2.0) (+ (log PI) (log n)))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* PI n) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (exp (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow PI (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (- (* +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))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n)))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log n) 2)))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI)))))) (exp (+ (* (* 0.5 (- 1.0 k)) (+ (- (log -1) (log (/ -1 n))) (log PI))) (* 0.5 (* (log 2.0) (- 1.0 k))))) (+ (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log PI) 2))))) (- (+ (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log PI))))))) (exp (+ (* 0.5 (* (- 1.0 k) (log PI))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log PI))) 4.662 * * * [progress]: adding candidates to table 5.186 * [progress]: [Phase 3 of 3] Extracting. 5.186 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.189 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.189 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.232 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.259 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.298 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.338 * * * [regime]: Found split indices: #